I did not know ALIQUOT, but it's a lovely word.
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The word "aliquot" comes ultimately from the Latin word meaning "some, several". In mathematics "aliquot" means "an exact part or divisor", reflecting the fact that the length of an aliquot string forms an exact division of the length of longer strings with which it vibrates sympathetically.
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Aliquot stringing broadens the vibrational energy throughout the instrument, and creates an unusually complex and colorful tone. The aliquot strings are one octave higher and are therefore shorter.
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However, it is worth noting that 276 may reach a high apex in its aliquot sequence and then descend; the number 138 reaches a peak of 179931895322 before returning to 1. Guy and Selfridge believe the Catalan–Dickson conjecture is false (so they conjecture some aliquot sequences are unbounded above (or diverge)).A. S. Mosunov, What do we know about aliquot sequences? , there were 898 positive integers less than 100,000 whose aliquot sequences have not been fully determined, and 9190 such integers less than 1,000,000.
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106 is the thirty-first distinct biprime and the fifteenth of the form (2.q). The aliquot sum of 106 is 56 within the aliquot sequence (106,56,64,63,41,1) 106 being the eleventh composite number in the 41-aliquot tree. 106 is a centered pentagonal number, a centered heptagonal number, and a regular 19-gonal number. There are 106 distinct mathematical trees with ten vertices.
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Julius Blüthner invented the aliquot stringing system in 1873. The Blüthner aliquot system uses an additional (hence fourth) string in each note of the top three piano octaves. This string is slightly higher than the other three strings so that it is not struck by the hammer. Whenever the hammer strikes the three conventional strings, the aliquot string vibrates sympathetically.
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When x is 1, the function is called the sigma function or sum-of-divisors function, and the subscript is often omitted, so σ(n) is the same as σ1(n) (). The aliquot sum s(n) of n is the sum of the proper divisors (that is, the divisors excluding n itself, ), and equals σ1(n) − n; the aliquot sequence of n is formed by repeatedly applying the aliquot sum function.
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Aliquot stringing is the use of extra, un-struck strings in the piano for the purpose of enriching the tone. Aliquot systems use an additional (hence fourth) string in each note of the top three piano octaves. This string is slightly higher than the other three strings so that it is not struck by the hammer. Whenever the hammer strikes the three conventional strings, the aliquot string vibrates sympathetically.
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Aliquot stringing is the use of extra unstruck strings in the piano for the purpose of enriching the tone. The aliquot stringing system was invented by Julius Blüthner in 1873. As currently implemented, the Blüthner aliquot stringing system uses a fourth string in each note of the top three octaves. This string is raised slightly with respect to the other three strings, so that it is not struck by the hammer.
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For the second stage, the aliquot is irradiated with a fixed known test dose (beta dose). The aliquot is preheated at temperature less than 160 °C. The IRSL signal measurement is taken as a test dose IRSL response (NT) after it has been optically stimulated for 40 s at 125 °C (for feldspar) or 100 s at 125 °C (for quartz). At this stage the aliquot is completely bleached.
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There are two different methods of OSL dating: multiple-aliquot-dose and single- aliquot-regenerative-dose (SAR). In multiple-aliquot testing, a number of grains of sand are stimulated at the same time and the resulting luminescence signature is averaged . The problem with this technique is that the operator does not know the individual figures that are being averaged, and so if there are partially prebleached grains in the sample it can give an exaggerated age . In contrast to the multiple-aliquot method, the SAR method tests the burial ages of individual grains of sand which are then plotted.
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Fifty-seven is the sixteenth discrete semiprime and the sixth in the (3.q) family. With 58 it forms the fourth discrete bi-prime pair. 57 has an aliquot sum of 23 and is the first composite member of the 23-aliquot tree.
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Because they are tuned an octave above their constituent pitch, true aliquot strings transmit strong vibrations to the soundboard. Duplex scaling, which typically is tuned a double octave or more above the speaking length, does not. And because aliquot strings are so active, they require dampers or they would sustain uncontrollably and muddy the sound. Aliquot stringing broadens the vibrational energy throughout the instrument, and creates an unusually complex and colorful tone.
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35 is a discrete semiprime (or biprime) (5 × 7); the tenth, and the first with 5 as the lowest non-unitary factor. The aliquot sum of 35 is 13 this being the second composite number with such an aliquot sum; the first being the cube 27.
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This is a 15-page publication entitled Formulae Aliquot Remediorum, Guillielmi Rondelletii, libro de internet remedies omissae.
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A regenerative test dose is then started after bleaching. The same procedure as described above is followed but a range of regenerative dose is given at different temperature for sensitivity correction of OSL signal (See Plot B). For the regenerative dose measurement, the aliquot is irradiated with a known dose before preheating at 160-130 °C for 10 s or 160-300 °C for feldspar or quartz respectively while the signal response (Ri) is measured. A fixed test dose is by irradiating the aliquot and a preheating of the aliquot is carried out at a temperature less than 160 °C. The aliquot is optically stimulated at the same rate and the IRSL signal (RT) is measured.
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Whenever the hammer strikes the three conventional strings, the aliquot string vibrates sympathetically, adding to the complexity of the tone. This same string resonance effect occurs, on a more limited scale, when other notes on the piano are played that are harmonically related to the pitch of an aliquot string.
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He was the composer of the most renowned Hungarian Emblemata book: Emblemata cum aliquot nummis antiqui operis (1564). Sambucus' emblem book was edited five times and it was translated into French and Dutch. He also wrote the Icones veterum aliquot ac recentium Medicorum Philosophorumque in 1574, published in Antwerpen. He died, aged 53, in Vienna.
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An important conjecture due to Catalan, sometimes called the Catalan–Dickson conjecture, is that every aliquot sequence ends in one of the above ways: with a prime number, a perfect number, or a set of amicable or sociable numbers. The alternative would be that a number exists whose aliquot sequence is infinite yet never repeats. Any one of the many numbers whose aliquot sequences have not been fully determined might be such a number. The first five candidate numbers are often called the Lehmer five (named after D.H. Lehmer): 276, 552, 564, 660, and 966.
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This string resonance also occurs when other notes are played that are harmonically related to the pitch of an aliquot string, though only when the related notes' dampers are raised. Many piano-makers enrich the tone of the piano through sympathetic vibration, but use a different method known as duplex scaling (see piano). Confusingly, the portions of the strings used in duplex scaling are sometimes called "aliquot strings", and the contact points used in duplex scales are called aliquots. Aliquot stringing and the duplex scale, even if they use "aliquots", are not equivalent.
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In number theory, the aliquot sum s(n) of a positive integer n is the sum of all proper divisors of n, that is, all divisors of n other than n itself. It can be used to characterize the prime numbers, perfect numbers, deficient numbers, abundant numbers, and untouchable numbers, and to define the aliquot sequence of a number.
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Iterating the aliquot sum function produces the aliquot sequence n, s(n), s(s(n)), ... of a nonnegative integer n (in this sequence, we define s(0) = 0). It remains unknown whether these sequences always converge (the limit of the sequence must be 0 or a perfect number), or whether they can diverge (i.e. the limit of the sequence does not exist).
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Weger, p. 227; Google Books. A second edition appeared in 1725, edited by Friedrich Roth-Scholtz.Jacobi Verheidenii Imagines et elogia praestantium aliquot theologorum, cum catalogis librorum ab iisdem editorum, Google Books.
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Each used more distinctly ringing, undamped vibrations of sympathetically vibrating strings to add to the tone, except the Blüthner Aliquot stringing, which uses an additional fourth string in the upper two treble sections. While the hitchpins of these separately suspended Aliquot strings are raised slightly above the level of the usual tri-choir strings, they are not struck by the hammers but rather are damped by attachments of the usual dampers. Eager to copy these effects, Theodore Steinway invented duplex scaling, which used short lengths of non-speaking wire bridged by the "aliquot" throughout much of the upper range of the piano, always in locations that caused them to vibrate sympathetically in conformity with their respective overtones—typically in doubled octaves and twelfths.
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This piano had five pedals: a keyboard shift (quad to due corde), bassoon, moderator 1, moderator 2, and dampers. A different four-string system, aliquot stringing, was invented by Julius Blüthner in 1873, and is still a feature of Blüthner pianos. The Blüthner aliquot system uses an additional (hence fourth) string in each note of the top three piano octaves. This string is slightly higher than the other three strings so that it is not struck by the hammer.
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DNA is isolated from an aliquot of the bound complex by treatment with RNAse (or proteinase followed by RNAse) to digest associated protein and RNA. RNA may also be isolated from an additional aliquot of the bound complex to detect other RNA molecules associated with the RNA of interest. The purified DNA is then used to prepare a sequencing library and the library is sequenced on a next generation DNA sequencing system. The sequencing reads are then mapped to the genome.
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This added a fourth, sympathetic (aliquot) string to each trichord group in the treble to enrich the piano's weakest register by enhancing the overtone spectrum of the instrument. He died, aged 86, in Leipzig.
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Julien Aliquot suggested that the site may have been called Barkousa in ancient times. This was contrary to the location of Barkusha that had previously been suggested by Albrecht Alt in 1947. In the 6th century, it was renamed Justinianopolis (, "city of Justinian") after the Byzantine emperor Justinian I.Klein, Konstantin., Review of Aliquot, J., Inscriptions Grecques et Latines de la Syrie - Tome 11: Mount Hermon (Liban et Syrie) Beirut: Presses de l'IFPO (Bibliothèque archéologique et historique 183) Reviews, Levant, Vol 43, No 1, 2011.
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Makers of other string instruments sometimes use aliquot parts of the scale length to enhance the timbre. Examples of such instruments include the Viola d'amore, the Japanese koto and non-Western traditional instruments with sympathetic strings.
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Jacobus Verheiden (Verheidanus Graviensis) (fl. 15901618) was a Dutch schoolmaster known as an author. Title page from Af-beeldingen van sommighe in Godts-Woort ervarene mannen (1603), the Dutch translation of Praestantium aliquot theologorum (1602) by Verheiden.
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Wettstein charges it with being altered from the Latin. The manuscript was also examined by Treschow,H. G. Treschow, Testament Descriptionis codicum veterum aliquot Graecorum Novi Foederis manuscriptorum (Copenhagen, 1773), pp. 85-88 Alter and John Wordsworth.
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Title page of Pictorum aliquot celebrium Germaniae inferioris effigies In 1572 Lampsonius published under his own name a set of 23 engraved portraits of artists from the Low Countries under the title Pictorum aliquot celebrium Germaniae inferioris effigies (literal translation: Effigies of some celebrated painters of Lower Germany). Lampsonius provided poems in Latin to accompany the individual portraits. This work was under preparation by the leading Antwerp publisher Hieronymous Cock who died before it was completed. It was then published by Cock's widow Volcxken Dierix who continued the publishing business after her husband's death.
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It is unknown if there are infinitely many pairs of amicable numbers. A related concept is that of a perfect number, which is a number that equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1. Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers. The first ten amicable pairs are: (220, 284), (1184, 1210), (2620, 2924), (5020, 5564), (6232, 6368), (10744, 10856), (12285, 14595), (17296, 18416), (63020, 76084), and (66928, 66992). .
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Theodore Steinway of Steinway & Sons patented tunable aliquots in 1872. Short lengths of non-speaking wire were bridged by an aliquot throughout much of the upper range of the piano, always in locations that caused them to vibrate in conformity with their respective overtones—typically in doubled octaves and twelfths. This enhanced the power and sustain of the instrument's treble. Because it was time-consuming to correctly position each aliquot, Steinway abandoned individual aliquots for continuous cast-metal bars, each comprising an entire section of duplex bridge points.
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In 1965, the site was further excavated by Lebanese-Armenian archaeologist Harutune Kalayan,Aliquot 2012, p. 50 uncovering the podium and an architectural plan of half of the front pediment etched on one of the temple walls.Kalayan 1971, p.
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Chauncy was haunted by his weakness in taking the oath of supremacy and wrote a number of works telling the story of his brethren, in which he mentions his lapse: Historia aliquot nostri saeculi Martyrum in Anglia, etc. (Mainz, 1550, and Bruges, 1583); Commentariolus de vitae ratione et martyrio octodecim Cartusianorum qui in Anglia sub rege trucidati sunt (Ghent, 1608), a portion of which was reprinted; Vitae Martyrum Cartusianorum aliquot, qui Londini pro Unitate Ecclesiae adversus haereticos, etc. (Milan, 1606); see Historia aliquot martyrum Anglorum maxime octodecim Cartusianorum: sub Rege Henrico Octavo ob fidei confessionem et summi pontificis jura vindicanda interemptorum a V. Patre Domno Mauritio Chauncy conscripta; nunc ad exemplar primae editionis Moguntinae anno 1550 excusae a monachis Cartusiae S. Hugonis in Anglia denuo edita, Londini, 1888; G.W.S. Curtis (ed.), Maurice Chauncy, The Passion and Martyrdom of the Holy English Carthusian Fathers: A Short Narrative, SPCK, London, 1935.
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The manuscript once belonged to Matthias Corvinus, the great King of Hungary (1458-1490) (as codex 78). It was collated in 1773 by Treschow,H. G. Treschow, Tentamen Descriptionis codicum veterum aliquot Graecorum Novi Foederis manuscriptorum (Copenhagen, 1773). and by Alter.
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In 1656 he edited the "Regula Solitaria" of the ninth century priest Grimlaicus (Grimlaic), a spiritual guide for hermits. His principal work, however, is the famous "Spicilegium, sive Collectio veterum aliquot scriptorum qui in Galliae bibliothecis, maxime Benedictinorum, latuerunt" (Paris, 1655–1677), continued by Baluze and Martène, to whom we owe an enlarged and improved edition (Paris, 1723). Spicilegium sive collectio veterum aliquot scriptorum (1723 edition), title page. D'Achery collected the historical materials for the "Acta Ordinis S. Benedicti" but Mabillon added so much to it in the way of prefaces, notes, and "excursus" that it is justly accounted as his work.
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Clearly the reverse is true as well, using polar extraction solvent and a nonpolar solvent to partition a nonpolar interferent. A small aliquot of the organic phase (or in the latter case, polar phase) can then be injected into the instrument for analysis.
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Antonio Garbiglietti (30 November 1807, Biella – 24 January 1887, Turin) was an Italian entomologist who specialised in Heteroptera . He wrote (1869). Catalogus methodicus et synonymicus et hemipterorum eteropterorum (Rhyngotha Fabr.) Italiae indigenarum. Accedit descriptio aliquot specierum vel minus vel nondum cognitarum. Bull. Soc. Entomol. Ital.
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Louis Peter Grijp, The Maastricht Songbook (Niewe Duytsche Liedekens, 1554), 1999 In 1554 he printed a musical work in Maastricht by the composer Jean de Latre from Liège. The work was entitled Lamentationes aliquot Jeremiae musicae harmoniae noviter adaptatae, adjectis aliquot sacris cantionibus, trium, quatuor, quinque et sex vocum and was dedicated to Anton of Schauenburg, at that time the dean of the Saint Servatius chapter in Maastricht, and later archbishop of Cologne. Bathen used so-called 'movable musical note types' for the first time. The movable types are now in the Heilbronn city library and constitute one of the most important musical artefacts from this period.
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The first stage involves determination of the natural dose (see Plot B) preheating the aliquot to about 160 -130 °C (for feldspar) for 10 s or 160-300 °C (for quartz) when the natural luminescence signal (i.e. natural dose) is still intact. This is done to remove unstable signals in the mineral. After preheating, the aliquot is optically stimulated by Infrared light emitting diode (for feldspar) or Blue light emitting diode (for quartz) depending on which mineral (see OSL detection system) for 40 s at 125 °C (for feldspar) or 100 s at 125 °C (for quartz) and the natural OSL signal (NL) is measured and recorded in the photomultiplier tube.
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One aliquot is first screened for drugs using an analyzer that performs immunoassay as the initial screen. To ensure the specimen integrity and detecting possible adulterant, some other parameters such as, urine creatinine, pH, and specific gravity are tested along in this initial test. If the urine screen is positive then another aliquot of the sample is used to confirm the findings by gas chromatography—mass spectrometry (GC-MS) or liquid chromatography - mass spectrometry methodology. If requested by the physician or employer, certain drugs are screened for individually; these are generally drugs part of a chemical class that are, for one of many reasons, considered more abuse-prone or of concern.
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In mathematics, an aliquot sequence is a sequence of positive integers in which each term is the sum of the proper divisors of the previous term. If the sequence reaches the number 1, it ends, since the sum of the proper divisors of 1 is 0.
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Orthophosphate ion can be conveniently thermometrically titrated with magnesium ions in the presence of ammonium ion. An aliquot of sample is buffered to approximately pH10 with an NH3/NH4Cl solution. The reaction: : Mg2+ \+ NH4+ \+ PO43− ↔ MgNH4PO4↓ Is exothermic. CV’s of under 0.1 have been achieved in test applications.
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The equivalent dose (D_E) is also known as the dose response is determined from the dose response curve (see Plot B). The single-aliquot regenerative (SAR) protocol is a commonly used method for the determination of the equivalent dose. The protocol involves series of laboratory measurement of OSL signal (see Plot A), which is emitted by the aliquot after it has been optically stimulated at a known beta dose within a given time in seconds. The beta-source may be 90Sr/90Y in an automated Ris\varnothingThermal Luminescence Reader . During SAR protocol, the difference in the measurement for quartz and feldspar is mainly on the degree of heat required per time and the source of stimulation.
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The manuscript was written by one Leo at Constantinople. It was brought from Constantinople to Vienna by Augier Busbecq together with the codex 421 and many other manuscripts. It was examined by Treschow,H. G. Treschow, Testament Descriptionis codicum veterum aliquot Graecorum Novi Foederis manuscriptorum (Copenhagen, 1773) Alter, and Birch.
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Not all of his works are published. His Latin translation of Xenophon's fable The Choice of Heracles exists only in manuscript. In 1539, he wrote Diodori Siculi Historiarum Libri Aliquot, qui extant, and a year later he wrote In Gaecorum epigrammatum libros quatuor Annotationes longe doctissimae. He died in 1539.
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One page of Aux-Cousteaux's Psalmi aliquot... (Paris, Pierre I Ballard, 1631). Artus Aux-Cousteaux (Hautcousteaux, Haultcousteau, Arthur d'Auxcousteaux; c. 1590-1656) was a French singer and composer, active in Picardy and Paris. He was born in Picardy in either Beauvais (according to Charles Magnin) or Saint- Quentin (according to Charles Gomart).
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Blüthner was born in Falkenhain (now Meuselwitz), Thuringia. In 1853 he founded a piano-manufacturing company in Leipzig Germany. Blüthner pianos had an early success at exhibitions, conservatories and the concert stage. Further inventions and innovations lead Blüthner to patent a repetition action, and, in 1873, the aliquot scaling patent for grand pianos.
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It is the smallest base 10 Friedman number as it can be expressed by its own digits: 52. It is also a Cullen number. 25 is the smallest pseudoprime satisfying the congruence 7n = 7 mod n. 25 is the smallest aspiring number -- a composite non-sociable number whose aliquot sequence does not terminate.
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Around 1 milligram of this sample is portioned into an aliquot which is then placed on a microscope slide. The sample should always be properly weighed and examined immediately to avoid crystallization of the phytoliths, which would affect one's ability to count them. # Phytoliths are counted. It is not necessary to count the entire slide.
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Psiloritis in the center of the map, by Abraham Ortelius, 1598 Antwerp, from Archipelagi Insularum Aliquot Descrip. At 2,456 m (8,058 feet), Ida is the highest mountain on Crete. It has the highest topographic prominence in Greece.Topo25 Hiking Map of Mt IDHA (2006 edition) A natural park which includes Mt. Ida is a member of UNESCO's Global Geoparks Network.
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Illustration of the perfect number status of the number 6 In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. The sum of divisors of a number, excluding the number itself, is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself; in symbols, σ1(n) = 2n where σ1 is the sum-of- divisors function. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28.
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The aliquot sequence can be represented as a directed graph, G_{n,s}, for a given integer n, where s(k) denotes the sum of the proper divisors of k. Cycles in G_{n,s} represent sociable numbers within the interval [1,n]. Two special cases are loops that represent perfect numbers and cycles of length two that represent amicable pairs.
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Head of Alcibiades by Gerard Vandergucht, from Bryan's Plutarch. Bryan published a sermon on the election of the lord mayor in 1718, and just before his death he had finished the printing of an edition of Plutarch's Lives. It was completed by Moses du Soul, and was published under the title of Plutarchi Chæronensis Vitæ Parallelæ, cum singulis aliquot. Græce et Latine.
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Father Etienne Rousselou, the congregation's advisor, named Henriette DeLille Mother Superior. She took the name Sister Mary Theresa; however, everyone called her Mother Henriette. The Sisters of the Holy Family began as a diocesan congregation. They were assisted by Marie Jeanne Aliquot, who as a white French woman was prevented by law from joining a congregation of women of color.
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As court historiographer to the Margrave of Baden, he investigated the genealogy of the princely House of Zähringen; he also issued two works on historical sources: "Polonicæ historiæ corpus, i. e. Polonicarum rerum latini veteres et recentiores scriptores quotquot exstant" (Basle, 1582), and "Rerum Germanicarum veteres jam primum publicati scriptores aliquot insignes medii ævi ad Carolum V" (Frankfort, 1583–1607).
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Moreover, in Josephus where both names are mentioned, Jetur (Ιετουρ-) is rendered differently in Greek to Iturea (Ιτουρ-). Similarly in the Vulgate the two localities have different Latin names (Iathur for Jetur and Itureae for Iturea) showing that writers of antiquity did not view the names as the same.Julien Aliquot, Les Ituréens et la présence arabe au Liban du IIe siècle a.
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The experimental procedure first requires an aliquot of purified plasmid DNA (see appendix) for each digest to be run. Digestion is then performed with each enzyme(s) chosen. The resulting samples are subsequently run on an electrophoresis gel, typically on agarose gel. The first step following the completion of electrophoresis is to add up the sizes of the fragments in each lane.
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Describing himself as "an Englishe man borne, one of the quenes majesties suppliauntes, and enfourmed in my countrie fashions", Hartwell accused the exiled Shacklock of "grosse ignorance of our English customes". Four Latin lines by Thomas Newton in his Illustrium aliquot Anglorum Encomia (1589), addressed to Abraham Hartwell the younger, speak of the elder as a distinguished poet lately dead.
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The aliquot sequence can be represented as a directed graph, G_{n,s}, for a given integer n, where s(k) denotes the sum of the proper divisors of k. Cycles in G_{n,s} represent sociable numbers within the interval [1,n]. Two special cases are loops that represent perfect numbers and cycles of length two that represent amicable pairs.
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Furthermore, since variations in humidity can cause duplex scales to move in pitch more rapidly than the speaking scale, readjustments of aliquot positioning is more feasible than duplex bar re-positioning. A modern piano manufacture, Fazioli (Sacile, Italy), has blended Steinway's original ideas by creating a stainless-steel track, fixed to the cast-iron plate, on which individual aliquots slide.
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The aliquot sequence can be represented as a directed graph, G_{n,s}, for a given integer n, where s(k) denotes the sum of the proper divisors of k. Cycles in G_{n,s} represent sociable numbers within the interval [1,n]. Two special cases are loops that represent perfect numbers and cycles of length two that represent amicable pairs.
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Complexation with necessarily large amounts of oxalate is undesirable due to the toxicity of the reagent. A thermometric titration was devised by diluting the aliquot with propan-2-ol and titration with standard KOH in propan-2-ol. Most of the metal content precipitated prior to the commencement of the titration, and a clear, sharp endpoint for the sulfuric acid content was obtained. Fig 13.
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In mathematics, sociable numbers are numbers whose aliquot sums form a cyclic sequence that begins and ends with the same number. They are generalizations of the concepts of amicable numbers and perfect numbers. The first two sociable sequences, or sociable chains, were discovered and named by the Belgian mathematician Paul Poulet in 1918.P. Poulet, #4865, L'Intermédiaire des Mathématiciens 25 (1918), pp. 100–101.
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An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. Their study goes back at least to Abu Mansur al-Baghdadi (circa 1000 AD), who observed that both 2 and 5 are untouchable.
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In this method a measured sub-sample (perhaps 10 ml) is diluted with 100 ml of sterile growth medium and an aliquot of 10 ml is then decanted into each of ten tubes. The remaining 10 ml is then diluted again and the process repeated. At the end of 5 dilutions this produces 50 tubes covering the dilution range of 1:10 through to 1:10000.
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248–9; Google Books. The 1628 Syllabus aliquot synodorum was a bibliography of the literature of religious concord, compiled by Jean Hotman, Marquis de Villers-St-Paul decades earlier, and seen into print by Hugo Grotius using the pseudonym "Theodosius Irenaeus," with a preface by Matthias Bernegger.W. B. Patterson, King James VI and I and the Reunion of Christendom (2000), p. 149; Google Books.
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One of the most important publications of Hondius was the work Pictorum aliquot celebrium praecipue Germaniae inferioris Effigies (Effigies of some celebrated painters, chiefly of Lower Germany) of 1610, which was a collection of 69 portraits of mainly Netherlandish artists.Hans Holbein by Simon Frisius on internet Of these portraits, 22 were reworked versions of portraits contained in a book with almost the same title by Dominicus Lampsonius that was published in Antwerp in 1572 by the widow of Hieronymous Cock.The title of the 1572 publication was: Pictorum aliquot celebrium Germaniae inferioris effigies, literal translation: Effigies of some celebrated painters of Lower Germany The 1572 book contained 23 portraits of early Netherlandish artists, all of whom had died before the publication, including a portrait of Hieronymous Cock who had died while preparing the publication. Through his 1610 book Hondius updated and expanded the canon of Netherlandish painting.
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Borgato pianos also feature four strings per note in the treble section. The fourth string is actually struck, and is not an aliquot string as in Blüthner pianos. This practice has been seen at various times in the history of the piano: an early example was given by Conrad Graf to Ludwig van Beethoven, and later examples are seen ca. 1900 (Luis Casali, Barcelona; see ) and 1940 (August Förster, see ).
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The property of photoconverted fluorescence Kaede protein was serendipitously discovered and first reported by Ando et al. in Proceedings of the United States National Academy of Sciences. An aliquot of Kaede protein was discovered to emit red fluorescence after being left on the bench and exposed to sunlight. Subsequent verification revealed that Kaede, which is originally green fluorescent, after exposure to UV light is photoconverted, becoming red fluorescent.
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Köhler's Sylloge aliquot scriptorum de bene ordinanda bibliotheca, 1728 Köhler came into scholarly prominence in a transitional period for European scholarship. From the Middle Ages and into the Enlightenment, European scholars were part of a "common culture of scholarship", a respublica litteraria (Eskildsen 2005: 421). That common culture of scholarship was subjected to a series of nationalistic and religious pressures across the eighteenth century so that as Köhler came into prominence in the eighteenth century, there had been a shift from the pan-European imagined community to a more parochial nationalist one (Anderson 1991). His credentials as a library and information scientist are based upon three of his monographs: Syllogie aliquot Scriptorum de bene ordinanda et ornanda Bibliotheca, published in 1728; Hochverdiente und aus bewährten Urkunden wohlbeglaubte Ehren-Rettung Johann Guttenbergs, eingebohrnen Bürgers in Mayntz in 1741; and Anweisung für reisende Gelerte, Bibliothecken, Münz-Cabinette, Antiquitäten-Zimmer, Bilder-Sale, Naturalien- und Kunst-Kammern, u.d.
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An edition of both volumes together also appeared 1561. A third edition was published by Philips Galle in 1601 in Antwerp under the title Regiunculae et villae aliquot ducatus Brabantiae a. P. Breughelio delineatae et in pictorum gratiam a Nicolao Joannis Piscatore excusae et in lucem editae, Amstelodami ('Small Counties and Villages primarily in the duchy of Brabant'). His son Theodoor Galle published the series again a few years later (probably in 1610).
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Augustin Marlorat, engraving by Henrik Hondius the Elder from Praestantium aliquot theologorum (1602). The Praestantium was used at the University of Oxford, and some of the images influenced the painted frieze of the Bodleian Library.The Finger of God: Anatomical Practice in 17th-Century Leiden, p. 123 of PDF An English adaptation appeared as The History of the Moderne Protestant Divines (1637) by Donald Lupton; it included also material from the Heroologia Anglica of Henry Holland.
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For cell seeding the mounted tissue carrier is transferred by a forceps in a 24 well culture plate (Fig. 2). To concentrate cells on top of a tissue carrier culture medium is added to a level so that the selected biomaterial is just wetted. Then an aliquot of cells is transferred by a pipette to the surface of the mounted biomaterial. Figure 2: Minusheet tissue carriers including different biomaterials within a 24 well culture plate.
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Whenever the hammer strikes the three conventional strings, the aliquot string vibrates sympathetically. As a composer and pianist, Beethoven experimented extensively with pedal. His first marking to indicate use of a pedal in a score was in his first two piano concertos, in 1795. Earlier than this, Beethoven had called for the use of the knee lever in a sketch from 1790–92; "with the knee" is marked for a series of chords.
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Physiological concentrations (ppb-range) of Fe, Cu, Zn, Ni, Mo, Pd, Co, Mn, Pt, Cr, Cd and other metal cofactors can be identified and absolutely quantified in an aliquot of a fraction by inductively coupled plasma mass spectrometry (ICP-MS)Rašovský P (2011). "Utilisation of column gel eletrophoresis for on-line connection to ICP-MS for metalloproteomics". Archive of Thesis, Masaryk University, Brno. or total reflection X-ray fluorescence (TXRF), for example.
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There is a spring and Roman temple in the area called Ain Qaniya or Ayn Qaniya. Julien Aliquot identified the ancient name of the village, which was previously called Ainkania after this spring. A study of the ancient settlement and sanctuary is currently in progress under Ibrahim Omeri. It has been suggested that the goddess Leucothea was worshiped at the temple, which sits in the north east of a group of Temples of Mount Hermon.
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This results from hammers striking their respective three strings, followed by an immediate transfer of energy into their sympathetic strings. The noted piano authority Larry Fine observes that the Blüthner tone is "refined" and "delicate", particularly "at a low level of volume".Larry Fine, The Piano Book, fourth edition (Jamaica Plain, MA: Brookside Press, 2001), . The Blüthner company, however, claims that the effect of aliquot stringing is equally apparent in loud playing.
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The saga first appeared as a published dissertation which stated in an introduction that it was edited from parchment fragments found by the dissertation's author, Lucas Halpap.Lucas Halpap, Fragmentum mscr. runici... (Uppsala, 1690), unnumbered page at start of dissertation: “Nam hoc ipsum ego M. ss. ante aliquot menses a Rustico quondam pretio vel contemnendo mini comparavi” (“For I bought this very manuscript a few months ago at a shockingly cheap price from a farmer”).
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The best attested of his works are his published chansons and the set of Lamentations, which was published in 1554 in Maastricht by the Flemish printer Jacob Bathen. The work entitled Lamentationes aliquot Jeremiae was dedicated to Anton of Schauenburg, at that time the dean of the Saint Servatius chapter in Maastricht, and later archbishop of Cologne.Ben J.P. Salemans, Jacob Bathen, printer, publisher and bookseller in Louvain, Maastricht and Düsseldorf c. 1545 to c.
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Some of these are Cactearum aliquot novarum (1838); Cactearum genera nova speciesque novae (1839); Iconographie descriptive des Cactées (1841–1847); and Les plantes grasses (1869). One of the notable genera he named was Schlumbergera which contains the well-known Christmas Cactus. He never published a major work on the Cactaceae, despite having collected all the material and a wealth of experience. He always lived in semi-poverty and never attracted the attention of a wealthy sponsor.
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A pair of amicable numbers is a set of sociable numbers of order 2. There are no known sociable numbers of order 3, and searches for them have been made up to 5 \times 10^7 as of 1970. It is an open question whether all numbers end up at either a sociable number or at a prime (and hence 1), or, equivalently, whether there exist numbers whose aliquot sequence never terminates, and hence grows without bound.
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Reina wrote the first great book against the Inquisition: Sanctae Inquisitionis hispanicae artes aliquot detectae, ac palam traductae ("Some arts of Holy Inquisition"). This work was printed in 1567 in Heidelberg under the pseudonym: Reginaldus Gonsalvius Montanus. He secretly translated the work of the critic of Calvin, Sebastian Castellion, De haereticis, an sint persequendi ("Concerning heretics, whether they should be Persecuted"), that condemned executions "for reasons of conscience" and documented the original Christian rejection of the practice.
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At the age of twenty he began his career as a public notary, which carried with it, for a brief spell, the prestige of the office of chancellor of the Comune. In 1408 Sicco married Antonia Enselmini and thereafter his life was devoted mostly to literary endeavours. In 1413 he completed his first Latin work, the Argumenta super aliquot orationibus et invectivis Ciceronis. In 1419 he published his most successful work, Catinia, a comedy in seven scenes.
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Spicilegium sive Collectio veterum aliquot scriptorium (new edition) vol. III, Achéry, L. d´, Baluze, S., Martene, E. (eds.) Paris 1723, p. 660. She was initially buried at Cathedral of San Gennaro in Naples, but in 1277 her husband transferred her remains to Aix-en-Provence at the Church of Saint-Jean-de-Malta. Beatrice was the last ruling Countess of Provence and Forcalquier from the House of Barcelona; on her death, she left her Counties to her husband Charles.
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Henrik Hondius from Jacob Verheiden, Praestantium aliquot theologorum (1602). Berengar of Tours (c. 9996 January 1088), in Latin Berengarius Turonensis, was an 11th-century French Christian theologian and archdeacon of Angers, a scholar whose leadership of the cathedral school at Chartres set an example of intellectual inquiry through the revived tools of dialectic that was soon followed at cathedral schools of Laon and Paris. He came into conflict with Church authorities over the doctrine of transubstantiation of the Eucharist.
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Sohmer & Co. trademark Sohmer & Co. was a piano manufacturing company founded in New York City in 1872. Sohmer & Co. marketed the first modern baby grand piano, and also manufactured pianos with aliquot stringing and bridge agraffes, as well as Cecilian "all-inside" player pianos and Welte-Mignon- Licensee reproducing pianos. Sohmer pianos were owned by U.S. President Calvin Coolidge, and composers Victor Herbert and Irving Berlin. Sohmer is now a line of pianos manufactured by Samick Music Corporation in Korea.
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He was born into a family of painters: his father was the Leiden-born painter Jan Wellens de Cock (1490–1527), and his younger brother Hieronymus Cock (1510–1570) became a famous engraver. Cock may have visited Italy. He took on pupils Willem van Santvoort, Jacob Grimmer and Jan Keynooghe. A portrait of Cock was included in the 1572 collection of portraits of early Netherlandish painters entitled Pictorum aliquot celebrium Germaniae inferioris effigies with a poem about his landscapes by Dominicus Lampsonius.
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The thermometric titrimetric analysis of sodium aluminate liquor (“Bayer liquor”) in the production of alumina from bauxite is accomplished in an automated two titration sequence. This is an adaptation of a classic thermometric titration application (VanDalen and Ward, 1973). In the first titration, tartrate solution is added to an aliquot of liquor to complex aluminate, releasing one mole of hydroxyl for each mole of aluminate present. This is titrated acidimetrically along with “free” hydroxyl present and the carbonate content (as a second endpoint).
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Over half were copied from a volume published by Hieronymus Cock in Antwerp in 1551.Praecipua aliquot Romanae Antiquitatis Ruinarum Monimenta, British Museum, UK. His major book came out one year before his death and was too late to influence his own success. Scamozzi's practice is sometimes spoken of as being a source of the neo-Palladian architecture as it was introduced by Inigo Jones, another follower of Andrea Palladio's own example. Rudolf Wittkower referred to him as among "the intellectual father(s) of neo-classicism".
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The most familiar European swan, the mute swan (Cygnus olor), although not actually mute, is known neither for musicality nor to vocalize as it dies. This has led some to criticize swan song beliefs since antiquity, one of the earliest pp. 182–184. (Online version) being Pliny the Elder: in AD 77, Natural History (book 10, chapter xxxii: olorum morte narratur flebilis cantus, falso, ut arbitror, aliquot experimentis), states: "observation shows that the story that the dying swan sings is false." Peterson et al.
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183 The quality of the 23 prints was outstanding as they had been made by some of the leading engravers of the time such as Jan Wierix, Adriaen Collaert and Cornelis Cort. The portraits are rendered with a metallic sharpness and brilliance. The prints constitute a visually harmonious series. Hendrik Hondius I published in 1610 a book with almost the same title ('Pictorum aliquot celebrium, præcipué Germaniæ Inferioris', in English: 'Effigies of some celebrated painters, chiefly of Lower Germany') that contained 69 engraved portraits of painters.
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Ab > aliquibus enim dicitur corpus eius in montis Aragonis monasterio tumulatum a > mauris tamen ante redemptum. Ab aliis dicitur vivus a proelio evasisse et > confusionem proelii nequiens tolerare peregrinum se exhibuit huic mundo > effigie et habitu immutatus. Et annis aliquot interpositis, quispiam se > ostendit qui se eumdem publice fatebatur et multorum Castellae et Aragoniae > id ipsum testimonio affirmabant qui cum eo in utroque regno fuerant > familiariter conversati et ad memoriam reducebant secreta plurima que ipse > olim cum eis habita recolebat et antiquorum assertio ipsum esse firmiter > asserebat.
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The species was first formally described by the botanist Ferdinand von Mueller in 1857 as part of the work Nova genera et species aliquot rariores in Plagis Australiae Intratropicis nuperrime detecta. as published in Hooker's Journal of Botany and Kew Garden Miscellany. Other synonyms include Metrosideros paradoxus and Nania paradoxus. In a woodland setting associated species include Erythrophleum chlorostachys, Eucalyptus foelscheana, Eucalyptus setosa, Eucalyptus confertiflora and Eucalyptus latifolia in the overstorey and Grevillea decurrens, Gardenia megasperma and Calytrix exstipulata in the sparsely vegetated understorey.
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The company trusted that with an accurately templated bridge and carefully located duplex bar, the same result would be achieved with less fuss. Mason & Hamlin, established in Boston in 1854, continued to use individual aliquots. They felt that the tuning of these short lengths of string was more accurate with an aliquot than what could be attained with a duplex bar. With the fixed points of a duplex bar, small variations in casting or bridge-pin positioning are liable to produce imperfections in the duplex string lengths.
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Because it was time-consuming to correctly position each aliquot, Steinway abandoned individual aliquots for continuous cast metal bars, each comprising an entire section of duplex bridge points. Their feeling was that with an accurately templated bridge and carefully located duplex bar, the same result would be achieved with far less fuss. Mason & Hamlin, however, embraced Theodore Steinway's original idea. They felt that the tuning of these short stretches of free string can be achieved with greater accuracy than can be attained with a duplex bar.
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In 1605 he published a collection of engraved portraits of scholars, Clarissimorum aliquot litteris, ingenio, fama virorum effigies (Augsburg, Christophorus Mangus, 1605). Custos also produced "Armamentarium Heroicum", a collection of 125 engravings after drawings by Giovanni Battista Fontana, and showing the arms collection of Archduke Ferdinand of Tyrol who had started an arms museum in Ambras Palace near Innsbruck. The plates are accompanied by biographical text on the original owners of the armour and written by the Archduke's secretary, Jacob Schrenck von Notzing. Custos died in Augsburg.
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In liquid scintillation counting, a small aliquot, filter or swab is added to scintillation fluid and the plate or vial is placed in a scintillation counter to measure the radioactive emissions. Manufacturers have incorporated solid scintillants into multi-well plates to eliminate the need for scintillation fluid and make this into a high-throughput technique. A gamma counter is similar in format to scintillation counting but it detects gamma emissions directly and does not require a scintillant. A Geiger counter is a quick and rough approximation of activity.
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34) says: Si vero me mori contigerit ultra montes in aliquot loco, ubi beneficiatus sum, videlicet Parisius, Lauduni vel Cameraci, tunc in ecclesia cathedral ipsius civitatis, in qua me mori contigerit ipsam meam eligo sepulturam. All of these appointments were sources of income, not offices which required one to care for souls of Christians. He was Vice- Chancellor of the Holy Roman Church under Popes Innocent V, Adrian V, John XXI, Nicholas III, Martin IV, Honorius IV and Nicholas IV (i.e. from 1276 to 1288).Angelo Mercati, "I codici di Cristoforo Tolomei...," p. 12.
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Herωologia Anglica, hoc est, Clarissimorum et doctissimorum aliquot Anglorum qui floruerunt ab anno Cristi M.D. usque ad presentem annum M.D.C.XX. Viuæ effigies, Vitæ, et elogia. Duobus tomis, Authore H. H., Anglo-Britanno. Impensis Crispini Passæi Calcographus [sic] et Jansoni Bibliopolæ Arnhemiensis. The Joseph Nutting engraving published in Strype's Life of 1705 apparently derives from the same source as a later engraving by James Fittler, A.R.A., after a drawing by William Skelton, itself said to be based on an original picture at Ombersley Court, Worcestershire, formerly in possession of the Dowager Marchioness of Devonshire.
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The analyte-enzyme-fragment-conjugate is still able to reassemble with the other enzyme fragment to form an active enzyme. However it is unable to do this if the analyte is bound to an antibody. To determine the quantity of analyte in a sample, an aliquot of sample must be added to a solution containing enzyme-fragment-analyte-conjugate, the other enzyme fragment, antibody directed against the analyte and substrate for the enzyme reaction. Competition for the antibody occurs between the analyte in the sample and the enzyme-fragment-analyte-conjugate.
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By stimulating the grain with a different electromagnetic wave, infrared for these dates, it releases the trapped electrons to give a signal proportional to the amount of radiation stored. The age is based on the total absorbed radiation (paleodose) divided by the dosage rate (sediment dosage rate). For the IRSL Dating at Riadino-5, additional trace elements of Uranium and Thorium were also taken into account from gamma-ray spectrometry. Additionally, the samples were used under the multiple-aliquot dosage technique involving exposure of multiple grains at a time.
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In 1572 she published a book by Dominicus Lampsonius called Pictorum aliquot celebrium Germaniae inferioris effigies (literal translation: Effigies of some celebrated painters of Lower Germany), a set of 23 engraved portraits of artists with short verses in Latin printed below them. Hieronymus Cock had been working on this publication at the time of his death. The quality of the 23 prints was outstanding as they had been made by some of the leading engravers of the time such as Johannes Wierix, Adriaen Collaert and Cornelis Cort.Joanna Woodall, Dem dry bones.
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He thus has a financial interest in the failure or success of the close corporation. In Stellenbosch Farmers' Winery v Distillers Corp.1962 (1) SA 458 (A). is explained the contrast between a mere pecuniary interest and an actual legal right: > The fact that the shareholder is entitled to an aliquot share in the > distribution of the surplus assets when the company is wound up proves that > he is financially interested in the success or failure of the company but > not that he has any right or title to any assets of the company.472A.
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Wierix worked on some of the important publications of the late 16th century. This includes a commission by the Jesuits and other militant Counter-Reformation orders on Catholic materials. His prints played an important propagandistic role in the Catholic Church's recovery of the southern Netherlands. Another important publication he worked on was the set of 23 engraved portraits of artists from the Low Countries authored by Dominicus Lampsonius and published in 1572 under the title Pictorum aliquot celebrium Germaniae inferioris effigies (literal translation: Effigies of some celebrated painters of Lower Germany).
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Employees holding entitlements to the old scheme, if they transferred would take their aliquot share, including surpluses (there was an estimated £130m at the time). However, the catch in the new scheme was that any surplus would go to the company, not the employees’ themselves. The trust alleged that, if the committee did have to obtain management’s consent to update the entitlements to keep pace with inflation, the offer given was a breach a duty of good faith because it was compelling employees to forgo their acquired rights.
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This makes it necessary to dilute aqueous samples into the dynamic range of the specific analyte. GFAAS with automatic software can also pre-dilute samples before analysis. After the instrument has warmed up and been calibrated, a small aliquot (usually less than 100 microliters (µL) and typically 20 µL) is placed, either manually or through an automated sampler, into the opening in the graphite tube. The sample is vaporized in the heated graphite tube; the amount of light energy absorbed in the vapor is proportional to atomic concentrations.
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Arthur Schuster, Arthur Everett Shipley, Britain's Heritage of Science (1917), p. 50;archive.org. It followed on from earlier work of Francis North, written up in his essay also published in 1677. The nodal points and the related discoveries on sympathetic resonance and the harmonic series were incorporated in the textbook by Wallis, De algebra, in 1693. The resulting theory did not, however, amount to an account of overtones in the modern sense: the connection between vibration in "aliquot parts", and the higher harmonics, was not clarified in this period.
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He was the author of Latin lives of Bishop William Waynflete, Oxon. 1602, and of Archbishop John Morton, London, 1607. The former was published by William Bates, and was republished in the volume entitled Vitæ selectorum aliquot virorum, London, 1681. Budden also translated into Latin Thomas Bodley's Statutes of the Public Library and Sir Thomas Smith's Commonwealth of England (1610, other editions in 1625 and 1630), and into English (from the French of Pierre Ayrault) A Discourse for Parents' Honour and Authority over their Children, London, 1614, dedicated to Tobias Matthew.
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276: Quo audito sese imparem tanto honori immo oneri reputans, inducias respondendi vix imploravit; et sic fuga elapsus aliquot dies ad Vincula sancti Petri occultatus latuit. Tandem vix inventus et ad apostolicam sedem vi perductus.... He was finally found at the Church of San Pietro in Vincoli, to which a famous monastery was attached, and elected pope by the assembled cardinals, with the due consent of the Roman clergy, amid the repeated acclamations of the people.Philippus Jaffé (editor), Regesta pontificum Romanorum editio secunda Tomus I (Leipzig 1885), p. 198. Sede Vacante 1073 (Dr.
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If such a formulated medium is used for perfusion culture outside a CO2 incubator, the pH will shift from the physiological range to much more alkaline values due to the low content of CO2 (0.3%) in atmospheric air. For that reason any medium used for perfusion culture outside a CO2 incubator has to be stabilized by reducing the NaHCO3 concentration and/or by adding biological buffers such as HEPES (GIBCO/Invitrogen, Karlsruhe, Germany) or BUFFER ALL (Sigma-Aldrich-Chemie, München, Germany). The necessary amount can be easily determined by admixing increasing amounts of biological buffer solution to an aliquot of medium.
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For example, the proper divisors of 15 (that is, the positive divisors of 15 that are not equal to 15) are 1, 3 and 5, so the aliquot sum of 15 is 9 i.e. (1 + 3 + 5). The values of s(n) for n = 1, 2, 3, ... are: :0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 16, 1, 10, 9, 15, 1, 21, 1, 22, 11, 14, 1, 36, 6, 16, 13, 28, 1, 42, 1, 31, 15, 20, 13, 55, 1, 22, 17, 50, 1, 54, 1, 40, 33, 26, 1, 76, 8, 43, ...
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Aliquot 2019, p. 112Etheredge 2011, p. 130 In his treatise on Phoenician history, Byblian writer Philo maintained that the gods and goddesses venerated in Phoenicia were Hellenized Phoenician deities.Aliquot 2019, p. 117 The wave of cultural Hellenization created pan-Phoenician patriotism and a deeper attachment to pre-Hellenic religious traditions. Phoenician devotion to ancient gods continued under Roman rule as described in the [On the Syrian Goddess] treatise by second century AD rhetor Lucian of Samosata. Lucian visited sacred cities of Syria, Phoenicia and the Libanus where numerous mountain sanctuaries were spreading all over the countryside.
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Betrothed numbers or quasi-amicable numbers are two positive integers such that the sum of the proper divisors of either number is one more than the value of the other number. In other words, (m, n) are a pair of betrothed numbers if s(m) = n + 1 and s(n) = m + 1, where s(n) is the aliquot sum of n: an equivalent condition is that σ(m) = σ(n) = m + n + 1, where σ denotes the sum-of-divisors function. The first few pairs of betrothed numbers are: (48, 75), (140, 195), (1050, 1925), (1575, 1648), (2024, 2295), (5775, 6128). All known pairs of betrothed numbers have opposite parity.
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Book V of Euclid's Elements has 18 definitions, all of which relate to ratios.Heath, reference for section In addition, Euclid uses ideas that were in such common usage that he did not include definitions for them. The first two definitions say that a part of a quantity is another quantity that "measures" it and conversely, a multiple of a quantity is another quantity that it measures. In modern terminology, this means that a multiple of a quantity is that quantity multiplied by an integer greater than one—and a part of a quantity (meaning aliquot part) is a part that, when multiplied by an integer greater than one, gives the quantity.
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The age of any particular Blüthner piano can be determined by matching its serial number to the age table freely available on the Blüthner website. By 1900 Blüthner had become the largest piano maker in Germany, producing some 5,000 instruments annually. Innovations such as the Aliquot string, a fourth string that vibrated sympathetically and that is tuned in unison as well as the cylindrical soundboard and angle cut hammers, created a unique voice for the Blüthner instrument. The owners Adolf Max Blüthner, Dr. Paul Robert and Willy Bruno Heinrich were awarded an imperial and royal warrant of appointment to the court of Austria-Hungary.
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In 1527, Dürer also published Various Lessons on the Fortification of Cities, Castles, and Localities (Etliche Underricht zu Befestigung der Stett, Schloss und Flecken). It was printed in Nuremberg, probably by Hieronymus Andreae and reprinted in 1603 by Johan Janssenn in Arnhem. In 1535 it was also translated into Latin as On Cities, Forts, and Castles, Designed and Strengthened by Several Manners: Presented for the Most Necessary Accommodation of War (De vrbibus, arcibus, castellisque condendis, ac muniendis rationes aliquot : praesenti bellorum necessitati accommodatissimae), published by Christian Wechel (Wecheli/Wechelus) in Paris.For a French translation, see Instruction sur la fortification des villes: bourgs et châteaux, trans A. Rathau (Paris 1870).
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The influences visible in his work link him much more to the Antwerp school of painting.Luc Serck, Gassel, Lucas, in: Dictionnaire des peintres belges On the other hand, his frequent depictions of scenes at the court point to a possible stay in Brussels where the court was located. He was a humanist and was linked with other humanists in the Low Countries. He was a friend of Dominicus Lampsonius who included him in his 1572 publication Pictorum aliquot celebrium Germaniae inferioris effigies (literal translation: Effigies of some celebrated painters of Lower Germany), a set of 23 engraved portraits of leading artists from the Low Countries who had died.
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Manuale sententias aliquot Diuinas et Morales complectens partim è Sacris Patribus, partim è Petrarcha philosopho et Poeta celeberrimo decerptas,' London, 1584; new edit. 1594. Plat developed an interest in natural science: mechanical inventions, domestic economy—and especially in agriculture, to which he devoted most of his later life. He corresponded with lovers of gardening and agriculture, and investigated the effects of various manures. In 1592 Plat exhibited to some privy councilors and chief citizens of London a series of mechanical inventions, and next year printed, as a broad-sheet, some account of them in 'A brief Apologie of certen new Inventions completed by H. Plat' (licensed to Richard Field in 1592).
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Since the 1980s, thermoluminescence (TL), optically stimulated luminescence (OSL) and infrared stimulated luminescence (IRSL) dating are available providing the possibility for dating the time of loess (dust) deposition, i.e. the time elapsed since the last exposure of the mineral grains to daylight. During the past decade, luminescence dating has significantly improved by new methodological improvements, especially the development of single aliquot regenerative (SAR) protocols (Murray & Wintle 2000) resulting in reliable ages (or age estimates) with an accuracy of up to 5 and 10% for the last glacial record. More recently, luminescence dating has also become a robust dating technique for penultimate and antepenultimate glacial loess (e.g.
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The Praestantium aliquot theologorum (1602) consisted of 50 engraved portraits of Protestant theologians, with a few earlier figures (Berengar of Tours, John Wycliffe, Jan Hus, Jerome of Prague, Girolamo Savonarola and Erasmus) and a few laymen,Listing at Pitts Theology Library (relates to 1725 edition) for which Verheiden supplied Latin text, including biographical and bibliographical information. Many of the images, by Hendrik Hondius I, had appeared in an earlier work. The full title presents these men as opponents of the Roman Antichrist, combining images with eulogies by Verheiden; the work is also known by the short Imagines et elogia. The Dutch translation of 1603, as Afbeeldingen van sommighe in Godts Woort ervarene Mannen, was by Pauwels de Kempenare.
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The smallest zone (shortest range) was Zone 1, and the largest (longest range) was Zone 9. With the so-called "aliquot charge" (shown in the photo at right), up to 9 equal-sized, disk-shaped bags of powder (each about thick and containing of powder) could be attached to a 10th (or "base") bag, by means of cloth binding straps that were sewn to the base bag. Often the base bag was painted red, indicating that the powder assembly was to be loaded into the breech "red end last," so that it bumped up against the closing breech block (or faced the gunner). The red base bag also contained a small charge of black powder as an igniter.
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According to a 2007 Grove Music Online article on "duplex scaling", Steinway developed a system of Aliquot stringing to provide sympathetic resonance, with the intention of enriching the treble register of the piano. In the "octave duplex" piano by Hoerr of Toronto, each note had four strings, of which two, three or four could be struck by the hammer depending on the depression of any of four pedals. Steinway’s duplex scale was inspired a half-century earlier by an experiment conducted by the German piano maker Wilhelm Leberecht Petzoldt, in which a small bridge was placed behind the standard larger one with the intention of maximizing the potential additional resonance of a sympathetically vibrating additional length of string.
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Lando IV () was the Lombard prince of Capua from December 1091 until 19 June 1098, in opposition to Norman prince Richard II. Lando belonged to the family of the counts of Teano. The Catalogus Principum Capuae claims that Richard was "for years expelled by the Lombard counts and was made prince of Aversa [only], and afterwards he again held Capua",per annos aliquot a comitibus Langobardis expulsus, Aversanus princeps factus est, et postea Capuam iterum habuit without naming any of the Lombard counts. A charter from 27 January 1093 shows that for a time Richard II held Capua, but lost it again and was not finally reinstated until he successfully besieged it in 1098.
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Culture techniques and media vary depending upon the requirements of the fungal isolate involved, however the general procedure consist of the following: fungal hyphae are typically placed in liquid growth media and placed in shake culture until the fungal culture has increased in biomass. The fungal hyphae are removed from the growth media, washed with distilled water to remove the growth media, placed in distilled water and incubated on shake culture for 24 to 48 hours. The fungal hyphae are separated from the supernatant, and an aliquot of the supernatant is added to 1.0 mM ion solution. The ion solution is then monitored for 2 to 3 days for the formation of nanoparticles.
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He also received commissions to produce small oval portraits of prominent citizens of Delft. Upon returning to Antwerp in 1579, Johannes Wierix worked not only for Plantin, but also for other publishers such as Hans Liefrinck, Jan-Baptist Vrients, Phillip Galle, Gerard de Jode, Willem van Haecht, Godevaard van Haecht and Hieronymous Cock's widow Volcxken Dierix who continued the publishing business after her husband's death.Pictorum aliquot celebrium Germaniae inferioris 1572 edition in the Courtauld Institute of Art In addition, he occasionally published his own engravings himself. Johannes Wierix was so much in demand that he could exact such a high price for his work that Plantin was not always able or willing to engage him for a publication project.
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Hegge wrote a ‘Treatise of Dials and Dialling,’ preserved in the college library, to which he also presented a manuscript of Augustine of Hippo's De Civitate Dei. Another treatise from his pen, entitled In aliquot Sacræ Paginæ loca lectiones, was published at London in 1647 by John Hall. A third treatise by Hegge, entitled Saint Cvthbert; or the Histories of his Chvrches at Lindisfarne, Cvncacestre, and Dvnholme, was written in 1625 and 1626. Richard Baddeley, private secretary to Thomas Morton, bishop of Durham, printed an edition of it from a copy in Lord Fairfax's library, and suppressed the name of the author; he called it ‘The Legend of St. Cvthbert, with the Antiquities of the Church of Durham.
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When the prominent engraver Hendrick Hondius decided to try his hand at painting in 1600, Frans Badens was likely his first master.Eric Jan Sluijter, Les regards dards: Werner van den Valckert's Venus and Cupid, in: Amy Golahny, Mia M. Mochizuki, Lisa Vergara. 'In His Milieu: Essays on Netherlandish Art in Memory of John Michael Montias', Amsterdam University Press, 2006, p. 437 The contemporary reputation of Badens is evidenced by the inclusion of an engraved portrait of the artist in Hendrick Hondius' Pictorum aliquot celebrium praecipue Germaniae inferioris Effigies (Effigies of some celebrated painters, chiefly of Lower Germany), which was a collection of 69 portraits of prominent, chiefly Netherlandish artists published in 1610.
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Cornelis de Bie explicitly placed himself in the tradition of van Mander and did what van Mander did for 15th and 16th Netherlandish artists for 17th-century artists. In his Het Gulden Cabinet, de Bie presents himself as a rederijker whose duty it is to broadcast the fame of the artists. By doing so he followed an existing tradition already seen in Dominicus Lampsonius' 1572 Pictorum aliquot celebrium Germaniae Inferioris effigies and the Antwerp painter and rederijker Alexander van Fornenbergh's 1658 Antwerpschen Proteus ofte Cyclopschen Apelles, which sang the praises of the painter Quinten Matsys. The concept of Het Gulden Cabinet did not come from Cornelis de Bie himself, but from the Antwerp printer Jan Meyssen.
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This was the first musical edition of Phalesius and the first collection of scores for lute in the Low Countries. In addition to music scores, Bathen printed official publications and religious pamphlets, some of which were published by Petrus Phalesius and Martinus de Raymaker (known as 'Martinus Rotarius'). Title page of Jean de Latre's 'Lamentationes aliquot Ieremiae', part for tenor, published by Baethen in 1554 Bathen married Katrien van den Berghe with whom he had at least six children. The competition in the Leuven printing market was fierce and to cope with it some printers partnered up with one another. The difficulty to make ends meet likely forced Jacob Bathen to leave Leuven at the end of 1551 or early 1552 and to settle in Maastricht.
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Socially necessary labour time in Marx's critique of political economy is what regulates the exchange value of commodities in trade and consequently constrains producers in their attempt to economise on labour. It does not 'guide' them, as it can only be determined after the event and is thus inaccessible to forward planning. Unlike individual labour hours in the classical labour theory of value formulated by Adam Smith and David Ricardo, Marx's exchange value is conceived as a proportion (or 'aliquot part') of society's labour-time. Marx did not define this concept in computationally rigorous terms, allowing for flexibility in using it in specific instances to relate average levels of labour productivity to social needs manifesting themselves as monetarily effective market demand for commodities.
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This is often confused with "dilution factor" which is an expression which describes the ratio of the aliquot volume to the final volume. Dilution factor is a notation often used in commercial assays. For example, in a 1:5 dilution, with a 1:5 dilution factor, (verbalize as "1 to 5" dilution) entails combining 1 unit volume of solute (the material to be diluted) with (approximately) 4 unit volumes of the solvent to give 5 units of total volume. Note that some solutions and mixtures take up slightly less volume than their components. The dilution factor can be expressed using exponents: 1:5 would be 5e−1 (5−1 i.e. one-fifth:one); 1:100 would be 10e−2 (10−2 i.e.
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Over-stringing was invented by Pape during the 1820s, and first patented for use in grand pianos in the United States by Henry Steinway Jr. in 1859. Duplex scaling of an 1883 Steinway Model 'A'. From lower left to upper right: main sounding length of strings, treble bridge, duplex string length, duplex bar (nickel-plated bar parallel to bridge), hitchpins, plate strut with bearing bolt, plate hole Some piano makers added variations to enhance the tone of each note, such as Pascal Taskin (1788), Collard & Collard (1821), and Julius Blüthner, who developed Aliquot stringing in 1893. These systems were used to strengthen the tone of the highest register of notes on the piano, which up until this time were viewed as being too weak-sounding.
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Melanchthon's room in Wittenberg In the sphere of historical theology the influence of Melanchthon may be traced until the seventeenth century, especially in the method of treating church history in connection with political history. His was the first Protestant attempt at a history of dogma, Sententiae veterum aliquot patrum de caena domini (1530) and especially De ecclesia et auctoritate verbi Dei (1539). Melanchthon exerted a wide influence in the department of homiletics, and has been regarded as the author, in the Protestant church, of the methodical style of preaching. He himself keeps entirely aloof from all mere dogmatizing or rhetoric in the Annotationes in Evangelia (1544), the Conciones in Evangelium Matthaei (1558), and in his German sermons prepared for George of Anhalt.
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A comparison of the mirror constructions of Kircher (left) and Bradley (right) Patterns when seen through a kaleidoscope tube Multiple reflection by two or more reflecting surfaces has been known since antiquity and was described as such by Giambattista della Porta in his Magia Naturalis (1558–1589). In 1646 Athanasius Kircher described an experiment with a construction of two mirrors, which could be opened and closed like a book and positioned in various angles, showing regular polygon figures consisting of reflected aliquot sectors of 360°. Mr. Bradley's New Improvements in Planting and Gardening (1717) described a similar construction to be placed on geometrical drawings to show an image with multiplied reflection. However, an optimal configuration that produces the full effects of the kaleidoscope was not recorded before 1815.
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Stellenbosch Farmers' Winery Ltd v Distillers Corporation (SA) Ltd and Another1962 (1) SA 458 (A). is an important case in South African law. It was heard in the Appellate Division on 18 September 1961, with judgment handed down on 23 November. Hoexter ACJ, Beyers JA, Van Blerk JA, Rumpff JA and Wessels AJA presided. It is significant for its articulation of the contrast between a mere pecuniary interest on the one hand and an actual legal right on the other: > The fact that the shareholder is entitled to an aliquot share in the > distribution of the surplus assets when the company is wound up proves that > he is financially interested in the success or failure of the company but > not that he has any right or title to any assets of the company.472A.
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Young also recorded a Lundinensis Ecclesiae as being by Foliot. The scholar John Pits gave much the same list in 1619, adding one work, a Vitas aliquot sanctorum Angliae, Librum unun, but this work never appears in a medieval book catalogue and has not survived under this name so it is unclear if Foliot wrote such a work. The antiquary Thomas Tanner, writing in the early 18th century, listed Foliot as the author of the seven works given by Bale and Pits, adding an eighth, the Tractatus Gilberti, episcopi London: Super Istud "Sunt diuae olivae", citing John Leland, the 16th-century antiquary, as his source. This apparently is the collection of nine sermons on Saints Peter and Paul that has yet to be published and is still in manuscript at the Bodleian Library.
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The curd is then broken into pieces the size of a grain of corn and allowed to cool for an hour or two. Finally part of the whey is removed to be used for ricotta, and the curd is left to precipitate and sottosiero rest for about 90 minutes. Then the curd is fed, rested on the table mitters cut and left to further acidify the optimal point: sometimes the cheese-maker assesses the maturation, testing the consistency between his fingers and trying spinning with a small aliquot of putting on a big spoon wood and immersed in boiling water. When the curd has reached the right maturity, it is further crushed, placed in wooden tub beech or oak and pour almost boiling water (90 °C / 194 °F).
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Jeffrey Chipps Smith, 'Historians of Northern European Art: From Johann Neudörfer and Karel van Mander to the Rembrandt Research Project', in: Babette Bohn, James M. Saslow, A Companion to Renaissance and Baroque Art, John Wiley & Sons, 2 Jan, 2012, p. 509 The publisher Hendrik Hondius I published in 1610 a book with almost the same title ('Pictorum aliquot celebrium, præcipué Germaniæ Inferioris', in English: 'Effigies of some celebrated painters, chiefly of Lower Germany') that contained 69 engraved portraits of painters. Hondius' work included in its first part reworked versions of 22 of the portraits of the 1572 publication. The portrait of Hieronymus Cock (often numbered 23) was not included by Hondius maybe because the likeness was made after death, rather than drawn "ad vivum" (after the living model) as was the case for the other portraits.
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Demonstration, with rods, of the amicability of the pair of numbers (220,284) Amicable numbers are two different numbers related in such a way that the sum of the proper divisors of each is equal to the other number. The smallest pair of amicable numbers is (220, 284). They are amicable because the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71 and 142, of which the sum is 220. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2.
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In 1843, he patented a piano equipped with sympathetic strings sounding an octave above, an idea that would eventually lead to Blüthner's 1873 aliquot scaling patent for grand pianos and at the Paris Exposition the following year, where he presented another piano with a "pedal tone" which preceded the "sostenuto mechanism" that Steinway re- introduced in 1874. He succeeded his father Jean-Louis Boisselot in the manufacture of pianos in 1847, a business continued by successive generations of his family until the late nineteenth century. The collections of the Klassik Stiftung Weimar include around fifty historical musical instruments. A highlight is the grand piano from the Boisselot & Fils workshop (Marseille 1846), which was given to Franz Liszt as a gift and on which the compositions of the Weimar years were created. Paul McNulty was chosen by Klassik Stiftung Weimar to make a copy of Liszt’s personal Boisselot 1846 piano.
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Clusius, as he was known to his contemporaries, published two major original works: his Rariorum aliquot stirpium per Hispanias observatarum historia (1576)— is one of the earliest books on Spanish flora— and his Rariorum stirpium per Pannonias observatorum Historiae (1583) is the first book on Austrian and Hungarian alpine flora. Clusius' collected works were published in two parts: Rariorum plantarum historia (1601) contains his Spanish and Austrian flora and adds more information about new plants as well as a pioneering mycological study on mushrooms from Central Europe (as appendix: Fungorum in Pannoniis observatorum, covering toxic fungi in the section: "Fungi noxii et perniciosi"); and Exoticorum libri decem (1605) is an important survey of exotic flora and fauna, both still often consulted. His Rariorum plantarum, published in four books, is illustrated with many woodcuts of botanical specimens, and is indicative of the new interest in botany and botanical gardens which arose during the Renaissance. He contributed as well to Abraham Ortelius's map of Spain.
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To advance the interests of the Society for the Propagation of the Gospel in Foreign Parts, Kennett made a collection of books, charts, maps, and documents, with the intention of composing a History of the Propagation of Christianity in the English-American Colonies, and on the relinquishment of that project he presented his collections to the corporation, and printed a catalogue entitled Bibliothecæ Americanæ Primordia, London, 1713, 4to, afterwards republished with additions by Henry Homer the elder, 1789, 4to. He also founded an antiquarian and historical library at Peterborough, and enriched the library of that church with some scarce books, including an abstract of the manuscript collections made by Dr John Cosens, bishop of that see, and a copiously annotated copy of Gunton's History of Peterborough. The collection, consisting of about fifteen hundred books and tracts, was placed in a private room at Peterborough, and a manuscript catalogue was drawn up and subscribed Index librorum aliquot vetustorum quos in commune bonum congessit W. K., Decan. Petriburg. MDCCXII.
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Upright pianos are also widely used in elementary and secondary schools, music school practice rooms, and in smaller churches. During the 1800s, influenced by the musical trends of the Romantic music era, innovations such as the cast iron frame (which allowed much greater string tensions) and aliquot stringing gave grand pianos a more powerful sound, with a longer sustain and richer tone. In the nineteenth century, a family's piano played the same role that a radio or phonograph played in the twentieth century; when a nineteenth-century family wanted to hear a newly published musical piece or symphony, they could hear it by having a family member play a simplified version on the piano. During the nineteenth century, music publishers produced many types of musical works (symphonies, opera overtures, waltzes, etc.) in arrangements for piano, so that music lovers could play and hear the popular pieces of the day in their home.
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String resonance occurs on string instruments. Strings or parts of strings may resonate at their fundamental or overtone frequencies when other strings are sounded. For example, an A string at 440 Hz will cause an E string at 330 Hz to resonate, because they share an overtone of 1320 Hz (3rd harmonic of A and 4th harmonic of E). According to Grove Music Online (2007) article on Duplex Scaling, Steinway progressed a system of aliquot scaling to provide sympathetic resonance with the intention of enriching the treble register of the piano. In the 'octave duplex' piano by Hoerr of Toronto, each note had four strings, of which two, three or four could potentially be struck by the hammer depending on the depression of one of four pedals. Steinway’s duplex scale was precipitated a half century earlier by an experiment conducted by the German piano maker Wilhelm Leberecht Petzoldt, in which a small bridge was placed behind the standard larger one with the intention of maximizing the potential additional resonance of a sympathetically vibrating additional length of string.
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In a sociable chain, or aliquot cycle, a sequence of divisor-sums returns to the initial number. These are the two chains Poulet described in 1918: 12496 → 14288 → 15472 → 14536 → 14264 → 12496 (5 links) 14316 → 19116 → 31704 → 47616 → 83328 → 177792 → 295488 → 629072 → 589786 → 294896 → 358336 → 418904 → 366556 → 274924 → 275444 → 243760 → 376736 → 381028 → 285778 → 152990 → 122410 → 97946 → 48976 → 45946 → 22976 → 22744 → 19916 → 17716 → 14316 (28 links) The second chain remains by far the longest known, despite the exhaustive computer searches begun by the French mathematician Henri Cohen in 1969. Poulet introduced sociable chains in a paper in the journal L'Intermédiaire des Mathématiciens #25 (1918). The paper ran like this: :If one considers a whole number a, the sum b of its proper divisors, the sum c of the proper divisors of b, the sum d of the proper divisors of c, and so on, one creates a sequence that, continued indefinitely, can develop in three ways: :The most frequent is to arrive at a prime number, then at unity [i.e.
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Five is conjectured to be the only odd untouchable number and if this is the case then five will be the only odd prime number that is not the base of an aliquot tree. Five is also the only prime that is the sum of two consecutive primes, namely 2 and 3. The number 5 is the fifth Fibonacci number, being plus . It is the only Fibonacci number that is equal to its position. 5 is also a Pell number and a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 2, 5), (1, 5, 13), (2, 5, 29), (5, 13, 194), (5, 29, 433), ... ( lists Markov numbers that appear in solutions where one of the other two terms is 5). Whereas 5 is unique in the Fibonacci sequence, in the Perrin sequence 5 is both the fifth and sixth Perrin numbers. 5 is the length of the hypotenuse of the smallest integer-sided right triangle. In bases 10 and 20, 5 is a 1-automorphic number.
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The publishing house Aux Quatre Vents played an important role in the spread of the Italian High Renaissance throughout northern Europe as Cock published prints made by prominent engravers such as Giorgio Ghisi, Dirck Volckertsz Coornhert and Cornelis Cort after the work of leading Italian painters like Raphael, Primaticcio, Bronzino, Giulio Romano and Andrea del Sarto. The Italian historian of architecture Vincenzo Scamozzi copied many of the engravings published by Cock in 1551 for his volume on Rome entitled 'Discorsi sopra L'antichita di Roma' (Venice: Ziletti, 1583).Praecipua aliquot Romanae Antiquitatis Ruinarum Monimenta at the British Museum Cock collaborated with the Spanish cartographer Diego Gutiérrez on a 1562 Map of America.Diego Gutiérrez at the Library of Congress' website Hieronymus Cock collaborated with Antwerp architect and designer Cornelis Floris de Vriendt in the publishing of Cornelis Floris' designs for monuments and ornaments: the ‘’Veelderley niewe inuentien van antycksche sepultueren’’ (‘The many new designs of antique sculptures') was published in 1557 and the ‘’Veelderley veranderinghe van grotissen’’ (‘Many varieties of grotesques’) in 1556.
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Portrayal in print after the death of the original model The artists included in the book were (in the order in which they appear in the book): Hubert van Eyck, Jan van Eyck, Hieronymus Bosch, Rogier van der Weyden, Dirk Bouts, Bernard van Orley, Jan Mabuse, Joachim Patinir, Quentin Matsys, Lucas van Leyden, Jan van Amstel, Joos van Cleve, Matthys Cock, Herri met de Bles, Jan Cornelisz Vermeyen, Pieter Coecke van Aelst, Jan van Scorel, Lambert Lombard, Pieter Bruegel the Elder, Willem Key, Lucas Gassel, Frans Floris and ending with Hieronymus Cock.Pictorum aliquot celebrium Germaniae inferioris printed in 1572 at the Courtauld Institute of Art The book includes a poem by Lampsonius dedicated to the memory of Hieronymus Cock and applauding the work of his widow. The portraits and texts present an honour roll of the earlier generations of Netherlandish artists. Their publication thus contributed to the formation of a canon of famous Netherlandish painters, which was well underway even before Karel van Mander published in 1604 his biographies of early and contemporary Netherlandish artists in his Schilder-boeck.
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The artists included in the book are (in this order): Hubert van Eyck, Jan van Eyck, Hieronymus Bosch, Rogier van der Weyden, Dirk Bouts, Bernard van Orley, Jan Mabuse, Joachim Patinir, Quentin Matsys, Lucas van Leyden, Jan van Amstel, Joos van Cleve, Matthys Cock, Herri met de Bles, Jan Cornelisz Vermeyen, Pieter Coecke van Aelst, Jan van Scorel, Lambert Lombard, Pieter Bruegel the Elder, Willem Key, Lucas Gassel, Frans Floris, and Hieronymus Cock.Pictorum aliquot celebrium Germaniae inferioris 1572 edition in the Courtauld Institute of Art Since all the depicted artists were dead at the time of publication, Lampsonius included a dedicatory poem that qualified the work as a whole as an act of mourning and readers of the book are asked to ‘be the companions’ of the late Hieronymous Cock and his predecessors in a funeral procession. The book includes a poem by Lampsonius dedicated to the memory of Hieronymus Cock and applauding the work of his widow. The portraits and texts present an honour roll of the earlier generations of Netherlandish artists.
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