But let us suppose there had been no referendum at all.
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Let us suppose that the AAA took the "absolutely no regulation" stance that the NRA uses.
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Just in Case So let us suppose, reader, that you have won a $1.5 billion Powerball jackpot. Congratulations!
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But let us suppose that Mr Graeber could prove his thesis with some kind of statistical analysis that ranks social usefulness on one scale and pay on another.
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" He offered this intentionally absurd hypothetical: "Let us suppose now that one day a helicopter flies over this community and drops an additional $1,000 in bills from the sky, which is, of course, hastily collected by members of the community.
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For let us suppose Angie was a great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great great grandmother of Adolf Hitler.
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Now let us suppose that is the image of . Then we know and orientation is preserved, so must be interior to . Now is transformed to , so . Since is also the same length as , .
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If is finite, there is nothing to prove. Thus, we may assume that is also infinite. Let us suppose that the cardinality of is larger than that of .This uses the axiom of choice.
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Let us suppose that a sensor is transmitting a VGA frame 640x480. The video frame is of a format RGB888. Let's assume that we have a camera sensor transmitting 8 bits per pixel clock (PCLK). This means to transfer one pixel of data, 3 PCLKs would be required.
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To calculate the convergents of we may set , define and , and , . Continuing like this, one can determine the infinite continued fraction of as :[3;7,15,1,292,1,1,...] . The fourth convergent of is [3;7,15,1] = = 3.14159292035..., sometimes called Milü, which is fairly close to the true value of . Let us suppose that the quotients found are, as above, [3;7,15,1].
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Usually, agents working in one particular > field of espionage are put together in one group. Sometimes a group consists > of agents who for various reasons are known to each other. Let us suppose > that one agent recruits two others. ... Thus to a certain extent the members > of agent groups are completely isolated from Soviet diplomatic > representation.
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An outside edge is the opposite, and a center edge implies that the wheel is vertical. The classic speedskating technique is an alternating cycle of inside-edge pushes and outer-edge glides. The cycle starts as the skater is gliding on one (let us suppose the right) leg with a bent knee. Then the right knee straightens (extends) while leaning to the left.
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Justice William J. Brennan, Jr., author of the dissenting opinion. Justice Stevens also looked at the dissent from Coolidge, where Justice White had said: > Let us suppose officers secure a warrant to search a house for a rifle. > While staying well within the range of a rifle search, they discover two > photographs of the murder victim, both in plain sight in the bedroom.
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As a comparison, consider the Quicksort algorithm. In the worst-case scenario, Quicksort makes O(n2) comparisons; however, such an occurrence is rare. Quicksort almost invariably makes O(n log n) comparisons instead, and even outperforms other algorithms which can guarantee O(n log n) behavior. Let us suppose an adversary wishes to force the Quicksort algorithm to make O(n2) comparisons.
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It is desired for to supply with some data, let us suppose some data. A compile time solution is: classB.setStringData(classA.getStringData()); However, suppose that the format of the string data must be varied. A compile time solution is to use inheritance: public class Format1ClassA extends ClassA { @Override public String getStringData() { return format(toString()); } } and perhaps create the correctly "formatting" object at runtime by means of the factory pattern.
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Spatial variability occurs when a quantity that is measured at different spatial locations exhibits values that differ across the locations. Spatial variability can be assessed using spatial descriptive statistics such as the range. Let us suppose, that the Rev' z(x) is perfectly known at any point x within the field under study. Then the uncertainty about z(x) is reduced to zero, whereas its spatial variability still exists.
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Let us suppose there is a field \phi with a potential depending upon two parameters, a and b. :V\left(\phi\right)=-a \phi^\alpha + b\phi^\beta Let us also suppose that a is positive and nonzero and \beta > \alpha. If b is zero, there is no stable equilibrium. If the scaling dimension of \phi is c, then the scaling dimension of b is d-\beta c where d is the number of dimensions.
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But let us suppose that he did, then he would use different food, > and using different food, he would not have to eat human food. Not eating > human food, he would not ask us for it, and having nothing to ask at the > hands of man, he could not give luck or mishap. (tr. Forke 1907:524) Lu Jia 's (c. 191 BCE) Xinyu "New Sayings" criticizes bigu among other early Daoist xian transcendental practices.
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King Wuling of Zhao (r. 325–299 BCE) summoned Zheng Tong (鄭同) for an audience and asked how to avoid warfare with neighboring feudal states. Zheng Tong replied, 'Well, let us suppose there is a man who carries with him the pearl of Sui-hou and the Ch'ih-ch'iu armband [持丘之環, uncertain] as well as goods valued at ten thousand in gold. Now he stops the night in an uninhabited place.
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Let us suppose that the received message contained an error in the first digit. The receiver rearranges the message into the grid: :923 :347 :46 The receiver can see that the first row and also the first column add up incorrectly. Using this knowledge and the assumption that only one error occurred, the receiver can correct the error. In order to handle two errors, a 4-dimensional scheme would be required, at the cost of more parity digits.
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1 and theorem 1) Thus T proves both Prov(\\#(\rho)) and eg Prov(\\#(\rho)). But if T is consistent, this is impossible, and we are forced to conclude that T does not prove \rho. Now let us suppose T could have proven eg\rho. We then would have the following theorems in T: #T\Vdash eg\rho #T\Vdash Prov(\\#(\rho)) (by construction of \rho and theorem 1) #T\Vdash \rho (by ω-consistency) Thus T proves both \rho and eg\rho.
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In a capitalist society, the worker's alienation from their humanity occurs because the worker can express labour—a fundamental social aspect of personal individuality—only through a private system of industrial production in which each worker is an instrument: i.e., a thing, not a person. In the "Comment on James Mill" (1844), Marx explained alienation thus: > Let us suppose that we had carried out production as human beings. Each of > us would have, in two ways, affirmed himself, and the other person.
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The return, or rate of return, depends on the currency of measurement. For example, suppose a 10,000 USD (US dollar) cash deposit earns 2% interest over a year, so its value at the end of the year is 10,200 USD including interest. The return over the year is 2%, measured in USD. Let us suppose also that the exchange rate to Japanese yen at the start of the year is 120 yen per USD, and 132 yen per USD at the end of the year.
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Observation in philosophical terms is the process of filtering sensory information through the thought process. Input is received via hearing, sight, smell, taste, or touch and then analyzed through either rational or irrational thought. For example, let us suppose that an observer sees a parent beat their child; and consequently may observe that such an action is either good or bad. Deductions about what behaviors are good or bad may be based on preferences about building relationships, or study of the consequences resulting from the observed behavior.
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Alabama when establishing the right to a court-appointed attorney in all capital cases: > Let us suppose the extreme case of a prisoner charged with a capital offense > who is deaf and dumb, illiterate and feeble minded, unable to employ > counsel, with the whole power of the state arrayed against him, prosecuted > by counsel for the state without assignment of counsel for his defense, > tried, convicted and sentenced to death. Such a result … if carried into > execution, would be little short of judicial murder.
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Although very similar concepts have been previously defended by various people including Major Douglas and the Social Credit Movement, Nobel winning economist Milton Friedman is known to be the one who coined the term 'helicopter money' in the now famous paper "The Optimum Quantity of Money" (1969), where he included the following parable: > Let us suppose now that one day a helicopter flies over this community and > drops an additional $1,000 in bills from the sky, which is, of course, > hastily collected by members of the community. Let us suppose further that > everyone is convinced that this is a unique event which will never be > repeated. Originally used by Friedman to illustrate the effects of monetary policy on inflation and the costs of holding money, rather than an actual policy proposal, the concept has since then been increasingly discussed by economists as a serious alternative to monetary policy instruments such as quantitative easing. According to its proponents, helicopter money would be a more efficient way to increase aggregate demand, especially in a situation of liquidity trap, when central banks have reached the so-called 'zero lower bound'.
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The light after passing through T is allowed to fall on the analyzing Nicol A which can be rotated about the axis of the tube. The rotation of analyser can be measured with the help of a scale C. Working: In order to understand the need of a half-shade device, let us suppose that half-shade device is not present. The position of the analyzer is so adjusted that the field of view is dark when tube is empty. The position of the analyzer is noted on circular scale.
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The four letters in the movable disk facing the four numbered cells of the outer ring will not have, so to speak, any meaning by themselves and may be inserted as nulls within the text. However, if used in groups or repeated, they will be of great advantage, as I will explain later on. ::Chapter XV. We can also choose the index letter among the capital letters and agree between us which of them will be the index. Let us suppose we chose the letter B as an index.
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A function f′ from L′1 to L′2 is said to be a valid abstraction of f if for all x′ in L′1, (f ∘ γ)(x′) ≤ (γ ∘ f′)(x′). Program semantics are generally described using fixed points in the presence of loops or recursive procedures. Let us suppose that L is a complete lattice and let f be a monotonic function from L into L. Then, any x′ such that f(x′) ≤ x′ is an abstraction of the least fixed-point of f, which exists, according to the Knaster-Tarski theorem. The difficulty is now to obtain such an x′.
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Thus the sinusoidal part of the isotherm is replaced by a horizontal line (red line in Fig. 1). According to the Maxwell construction (or "equal area rule"), the height of the horizontal line is such that the two green areas in Fig. 1 are equal. The direct quote from James Clerk Maxwell which became the Maxwell construction: “Now let us suppose the medium to pass from B to F along the hypothetical curve BCDEF in a state always homogeneous, and to return along the straight line path FB in the form of a mixture of liquid and vapour.
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Concurrent with his federal judicial service, Brockenbrough was the founder and a Professor of law for Lexington Law School (now the Washington and Lee University School of Law) in Lexington, Virginia from 1849 to 1861. His law students included John J. Davis, John Goode and Robert Murphy Mayo. In his introductory address to the first class of incoming students, Brockenbrough offered this advice: > Sooner or later the occasion will arise when you will appear before the > dread tribunal of the public. Let us suppose that the time for the trial of > your strength has now arrived.
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Subjective inputs may be transferred into numerical data, but there is always the danger of an incorrect appraisal and transfer, and the danger that the analyst may assume undue confidence in such data after they have been quantified. Let us suppose, for example, that the decisions made by an executive are rated from 1 to 10, 10 being the perfect decision. After determining the ranking for each decision, adding these, and dividing by the total number of decisions made, the average ranking would indicate a particular executive's score in his decision-making role. On the basis of this score, judgments — which could be quite erroneous — might be made about his decision-making effectiveness.
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For two bonds with the same par value, coupon, and maturity, convexity may differ depending on what point on the price yield curve they are located. Suppose both of them have at present the same price yield (p-y) combination; also you have to take into consideration the profile, rating, etc. of the issuers: let us suppose they are issued by different entities. Though both bonds have the same p-y combination, bond A may be located on a more elastic segment of the p-y curve compared to bond B. This means if yield increases further, the price of bond A may fall drastically while the price of bond B won’t change; i.e.
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The 3rd-century BCE Zhanguo ce (Strategies of the Warring States), which is a compendium of political and military anecdotes dating from 490 to 221 BCE, mentions Marquis of Sui's pearl along with an otherwise unknown treasure, the Chiqiu zhi huan (持丘之環, "Chiqiu jade bracelet/armband"). King Wuling of Zhao (r. 325–299 BCE) summoned Zheng Tong (鄭同) for an audience and asked how to avoid warfare with neighboring feudal states. Zheng replied, > Well, let us suppose there is a man who carries with him the pearl of Sui- > hou [隨侯之珠] and the Ch'ih-ch'iu armband [持丘之環] as well as goods valued at ten > thousand in gold.
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1, 1981, pp. 15–22. In 1923, Ludwig Wittgenstein proposed to "dispose" of Russell's paradox as follows: > The reason why a function cannot be its own argument is that the sign for a > function already contains the prototype of its argument, and it cannot > contain itself. For let us suppose that the function F(fx) could be its own > argument: in that case there would be a proposition F(F(fx)), in which the > outer function F and the inner function F must have different meanings, > since the inner one has the form O(fx) and the outer one has the form > Y(O(fx)). Only the letter 'F' is common to the two functions, but the letter > by itself signifies nothing.
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We could add information to the sentences a and b which further specifies that Peter believes that Paderewski "the pianist" has musical talent and Peter disbelieves that Paderewski "the statesman" has musical talent. But let us suppose that Peter hears a recording of Paderewski playing Mozart and is impressed with the performance. Later, he hears a recording of Paderewski playing Keith Jarret and is disgusted by the performance. Given that we have the same individual Paderewski and that Peter still does not know that it is the same individual in the two cases, we would have to say that Peter believes that Paderewski the "classical pianist" has musical talent and that Peter disbelieves that Paderewski the "jazz pianist" has musical talent.
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That hundred men, let us suppose, to earn > a pound a week each. This is not the case in the iron-works; but no matter, > we can illustrate our meaning by one sum as well as by another. These men > lay out weekly the whole of the hundred pounds in victuals, drink, clothing, > bedding, fuel, and house-rent. Now, the master finding the profits of his > trade fall off very much, and being at the same time in want of money to pay > the hundred pounds weekly, and perceiving that these hundred pounds are > carried away at once, and given to shopkeepers of various descriptions; to > butchers, bakers, drapers, hatters, shoemakers, and the rest; and knowing > that, on an average, these shopkeepers must all have a profit of thirty per > cent.
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Integrated compound trust relationships allow, for example, entity A to accept an assertion or claim about entity B by entity C. C thus vouches for an aspect of B's identity to A. A key feature of "compound" trust relationships is the possibility of selective disclosure from one entity to another of locally relevant information. As an illustration of the potential application of selective disclosure, let us suppose a certain Diana wished to book a hire car without disclosing irrelevant personal information (utilising a notional digital identity network that supports compound trust relationships). As an adult, UK resident with a current driving license, Diana might have the UK's Driver and Vehicle Licensing Agency vouch for her driving qualification, age and nationality to a car-rental company without having her name or contact details disclosed. Similarly, Diana's bank might assert just her banking details to the rental company.
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Let us suppose moreover that X is complete, so that X is the completion of S. Then a continuous function f: S \rightarrow R extends to all of X if and only if f is Cauchy-continuous, i. e., the image under f of a Cauchy sequence remains Cauchy. (In general, Cauchy continuity is necessary and sufficient for extension of f to the completion of X, so is a priori stronger than extendability to X.) It is easy to see that every uniformly continuous function is Cauchy-continuous and thus extends to X. The converse does not hold, since the function f: R \rightarrow R, x \mapsto x^2 is, as seen above, not uniformly continuous, but it is continuous and thus -- since R is complete -- Cauchy continuous. In general, for functions defined on unbounded spaces like R, uniform continuity is a rather strong condition.
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Let us suppose, Jackson suggests, that a particularly brilliant super-scientist named Mary has been locked away in a completely black-and-white room her entire life. Over the years in her colour- deprived world she has studied (via black-and-white books and television) the sciences of neurophysiology, vision and electromagnetics to their fullest extent; eventually Mary comes to know all the physical facts there are to know about experiencing colour. When Mary is released from her room and experiences colour for the first time, does she learn something new? If we answer "yes" (as Jackson suggests we do) to this question, then we have supposedly denied the truth of type physicalism, for if Mary has exhausted all the physical facts about experiencing colour prior to her release, then her subsequently acquiring some new piece of information about colour upon experiencing its quale reveals that there must be something about the experience of colour which is not captured by the physicalist picture.
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The concept was alluded to as early as 1776 by Adam Smith in The Wealth of Nations: > Let us suppose, for example, that in the greater part of employments the > productive powers of labour had been improved to tenfold, or that a day’s > labour could produce ten times the quantity of work which it had done > originally; but that in a particular employment they had been improved only > to double, or that a day’s labour could produce only twice the quantity of > work which it had done before. In exchanging the produce of a day’s labour > in the greater part of employments for that of a day’s labour in this > particular one, ten times the original quantity of work in them would > purchase only twice the original quantity in it. Any particular quantity in > it, therefore, a pound weight, for example, would appear to be five times > dearer than before. In reality, however, it would be twice as cheap.
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J.B.S. Haldane fully grasped the basic quantities and considerations in kin selection, famously writing "I would lay down my life for two brothers or eight cousins". (see also: Haldane's Wikiquote entry) Haldane's remark alluded to the fact that if an individual loses its life to save two siblings, four nephews, or eight cousins, it is a "fair deal" in evolutionary terms, as siblings are on average 50% identical by descent, nephews 25%, and cousins 12.5% (in a diploid population that is randomly mating and previously outbred). But Haldane also joked that he would truly die only to save more than a single identical twin of his or more than two full siblings.q:J. B. S. Haldane In 1955 he clarified: > Let us suppose that you carry a rare gene that affects your behaviour so > that you jump into a flooded river and save a child, but you have one chance > in ten of being drowned, while I do not possess the gene, and stand on the > bank and watch the child drown.
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The Dawn Bible Students teach the necessity of the Father, Son, and Holy Spirit for salvation and sanctification, but reject the doctrines of a co-equal Trinity, immortality of the soul, and a literal hell-fire. Studies in the Scriptures teaches two phases of the Kingdom of God - a spiritual phase, invisible, and an earthly phase. Oh, the Blessedness! in 1966"Only because these more than fifty years have passed since 1914 have our minds been expanded to see this more protracted and larger picture of the end of the world. addresses the two dates in Charles Taze Russell's prediction - the "beginning of the Master’s second presence" in 1874, and the "times of the Gentiles" end in 1914, recognising as did Russell himself in 1907M. James Penton Apocalypse delayed: the story of Jehovah's Witnesses p167 1997 "On this theme Russell expressed himself in 1907: But let us suppose a case far from our expectations: suppose that AD 1915 should pass with the world's affairs all serene and with evidence that the 'very elect' had not all been 'changed' and without the restoration of natural Israel to favor under the New Covenant.
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