They twist and stretch mathematical objects, translate them into new mathematical languages, and apply them to new problems.
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Group theory in many ways epitomizes mathematical abstraction, yet it underlies some of our most familiar mathematical experiences.
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Several years ago, Ole Peters of the London Mathematical Laboratory became intrigued by what's known as the leverage problem in mathematical finance.
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The mathematical world is only waking up to the fact that this ancient but very sophisticated mathematical culture has much to teach us.
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I accept that ZZ is funnier since it represents snoring, but their mathematical misuse makes me doubtful of their dedication to mathematical purity.
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"At the end of the day, you do need that mathematical thinking and the mathematical mindset," PD Singh, vice president of AI at UIPath, told Business Insider.
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Su, a mathematician at Harvey Mudd College in California and the outgoing president of the Mathematical Association of America (MAA), delivered an emotional farewell address at the Joint Mathematics Meetings of the MAA and the American Mathematical Society in which he challenged the mathematical community to be more inclusive.
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DeMarco and Lindsey introduce the shapes in a forthcoming paper in the Arnold Mathematical Journal, a new publication from the Institute for Mathematical Sciences at Stony Brook University.
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MATHEMATICAL MODEL A mathematical model is a representation of a real-world problem used to gain qualitative and/or quantitative understanding, to predict future behavior, or to guide decision-making.
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Just as I made simplifying assumptions to price the Death Star, researchers construct mathematical models (in all fields) by looking at the world and translating what they observe into mathematical formulas.
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In a series of stories about how seemingly non-mathematical things are actually truly mathematical, Ellenberg set out to write about very complicated and cutting-edge thinking for a general audience.
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Average salary: $105,810 Required sociability score: 58 They research fundamental mathematics or the application of mathematical techniques to science, management, and other fields and solve problems in fields using mathematical methods.
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Stress tolerance: 57Average annual salary:What they do: Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields; solve problems in various fields using mathematical methods.
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Ask students to think about the mathematical model that underlies this prediction: What factors, rules, data and mathematical concepts are being used by The Upshot to predict the winner of the presidential election?
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One method arose in the mathematical field of algebraic geometry.
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The mathematical rules behind them seemed to be the same.
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Rafael Araujo turned his mathematical illustrations into a coloring book.
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There's "a whole new mathematical story behind it," she said.
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Predicting changes over time usually requires developing new mathematical equations.
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It's considered one of the most important open mathematical problems.
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Sheeran's last three albums have been named after mathematical symbols.
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This isn't only aesthetically unpleasing, it's also a mathematical headache.
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A paper published in 1971 presented his neat mathematical model.
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The forms perform mathematical calculations, but provide limited tax guidance.
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That chosen by Dr Nave and Dr Nadler was mathematical.
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It is also a difference capable of easy mathematical quantification.
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However, this explanation is filled with mathematical errors and difficulties.
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If I were a mathematical object, I would be zero.
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Clinton to claim mathematical victory or Mr. Sanders, serious momentum.
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The mathematical outcome is the same, but they "feel" different.
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Technical indicators include those that are purely mathematical in construction.
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The place was planted with olive trees, and mathematical equations.
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Most of us are much more mathematical than we think.
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An odd problem with no answer led to mathematical breakthroughs.
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The conjecture provides a mathematical function to evaluate this question.
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On it goes, the cold, mathematical deconstruction of mythological power.
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"We're working through all those mathematical issues," Dr. Stern said.
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That is what Microsoft's algorithms do — in a mathematical sense.
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Right from when they're hatched, they have this mathematical ability.
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The mathematical flip side of dwindling savings is increased debt.
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The benefits of sacrifice this time are theoretical, even mathematical.
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At least that miracle was governed by basic mathematical law.
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There's no clear path out of this basic mathematical reality.
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Mathematical pioneers, including Ernest Zermelo and Abraham Fraenkel, persevered and prevented this mathematical "explosion" by creating a new subbranch of mathematics, axiomatic set theory, thereby resolving the contradiction and reaffirming the validity of mathematics.
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Galbraith was not doing mathematical economics; he scorned the direction the economics profession was moving [in] because he felt the mathematical models couldn't adequately portray the set of institutions and sociological phenomenon that underline economics.
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What I didn't expect was the boost in mathematical self-esteem.
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Studied mathematical sciences, which is computer science, math, statistics, operations, research.
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We just don't inhabit the mathematical construct that is AdS space.
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But this idea hasn't been developed into a mathematical theory, yet.
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So I wanted to build the music on similar mathematical principals.
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Each unit contains energy-intensive processors that solve complex mathematical computations.
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He creates mathematical equations and compositions on wood, canvas, and linen.
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Working with mathematical algorithms but also with their gut, their instincts.
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This was shocking, especially considering his old age and mathematical mind.
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The goal was to produce something that could do mathematical reasoning.
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Because they are mathematical formulas, we often feel that algorithms are
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With graphs, Nowak could depict diverse population structures as mathematical abstractions.
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Only one Indian college, the Chennai Mathematical Institute, would take her.
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Then you have the pattern mathematical thinker and the verbal thinker.
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The body, sexuality, politics, relationships, and mathematical formulas were recurring motifs.
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New coins are awarded to "miners" for solving complex mathematical problems.
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The detail is mathematical, mechanical, which is not to say rote.
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In simple mathematical terms, the deficit is just an accounting exercise.
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And he used these religious metaphors to talk about mathematical beauty.
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But the founders forgot one thing: humans offer no mathematical certainty.
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Over at Pixar, they've even developed a mathematical formulae for cuteness.
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It doesn't have a unified framework, or mathematical laws underpinning it.
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She did mathematical calculation to see where the stripes would go.
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Sanders' loss in Michigan is both a mathematical and psychological wound.
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I never wanted to look at life with a mathematical eye.
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But there is a mathematical elegance to the three-part meal.
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The complex mathematical systems behind this technology are called neural networks.
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Juggling is equal parts physical education, physics, and beautiful mathematical patterns.
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Outside of the mathematical realm, two negatives don't equal a positive.
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It creates a mathematical representation, or vector, that identifies a bassoon.
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He then told my mom: 'Oliver is drawing with mathematical precision.
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Mathematical equality might seem to be the least controversial possible idea.
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Any mathematical revelations it found are locked within its neural layers.
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He drew investors by combining mathematical models and broad economic analyses.
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The initial results were marred by apparent reporting or mathematical errors.
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And an elite mathematical mind would open opportunities off the track.
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Mathematical models are very advanced nowadays, but they can't explain everything.
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In Cambridge, Hawking focused on the new mathematical concepts being developed by the mathematical physicist Roger Penrose, then at University College London, which were initiating a renaissance in the study of Einstein's theory of general relativity.
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The audit isn't done until one side's victory is a mathematical fact.
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So we use neat mathematical objects to think about them, called groups.
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Think of any graph that plots a mathematical function starting at 0,0.
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"The mathematical literature on synthetic self-assembly is quite thin," Menon said.
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Most of these models come in the form of a mathematical function.
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In quantum theory, states are described by mathematical objects called wave functions.
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The Riemann hypothesis surrounds a mathematical object called the Riemann zeta function.
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Each has mathematical pros and cons, and no convergence seems in sight.
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Yosses also explains the mathematical reason why pies (and cakes) are round.
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"It's a culture shock, to start using mathematical computations," Lopes-Phelan said.
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It captures an astonishingly wide class of phenomena in succinct mathematical formulas.
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His physical insights have led time and again to deep mathematical discoveries.
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I've included a mathematical proof in case you don't think I'm serious.
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The group's physical observations were further supported by a corresponding mathematical model.
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And getting a mathematical handle on all of that sequence of operations.
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It can be written down practically only in mathematical notation: 274,207,281 – 1.
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From observed possibilities, a mathematical object called a constructor can be fashioned.
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Communication is made harder still by MMTers' sparse use of mathematical models.
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Once again, insurers responded to these charges with statistics and mathematical models.
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Mathematical precision is an essential ally in my goal of achieving clarity.
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Machine learning can be very simple programs that just calculate mathematical regressions.
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Malcolm's crackling dialogue was prompted by challenges to his strictly mathematical perspective.
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This book isn't some kind of photo equivalent of a mathematical proof.
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The extension would look for a comment that met certain mathematical parameters.
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You've got to remember that Papandreou [senior] was an excellent mathematical economist.
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Any suggestion of human intelligence is an illusion based on mathematical probabilities.
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Many compensation structures rely on mathematical tools originally developed for nuclear physics.
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This was a horse, believed by all to be a mathematical genius.
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But the number of receptors they discovered instantly posed a mathematical problem.
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In most cases, these predictions will not be absolute but mathematical propensities.
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It's able to perform extraordinarily complex mathematical calculations at extremely fast speeds.
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Mathematical statistics say a lot of them are going to love it.
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This course teaches you mathematical concepts to teach you more advanced programming.
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From the beginning, Johannsson's music captures the movie's mathematical and cosmic wonder.
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That's because this is a thought experiment and not a mathematical model.
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We could advance mathematical theories extremely rapidly, faster than we could otherwise.
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We could advance mathematical theories extremely rapidly — faster than we could otherwise.
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PG Your mathematical skills probably make the foundation run differently than most?
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"The virus isn't a mathematical formula," Fauci told CNN on March 15.
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The famous mathematical ratio is estimated to more than 22 trillion digits.
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So all sorts of seemingly innocuous mathematical mistakes can have bizarre consequences.
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Some should not be broken, especially if they constitute a mathematical impossibility.
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Her work forms part of the mathematical foundation of NASA's missions today.
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I can solve mathematical and real-world problems using a coordinate plane.
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And without a mathematical theory, we are left with trial and error.
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The political play did not take his mathematical colleagues entirely by surprise.
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The dimming process should end by mid-January, according to mathematical models.
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A proof is a demonstration of the truth of a mathematical statement.
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What was missing was a mathematical framework to explain what was happening.
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The beauty of this painting is like that of a mathematical equation.
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Clinton and put Mr. Sanders in a mathematical bind in the delegate race.
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One possibility is that the drop is little more than a mathematical quirk.
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I think what I learned is, it's not exactly a big mathematical question.
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These models can be physical, conceptual, computational, mathematical or other types of models.
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From the pure mathematical point of view, why might your approach be preferable?
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The outcome was something with the same basic mathematical form as Schrödinger's equation.
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Tononi tasked Hoel with exploring the general mathematical relationship between scales and information.
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These five string theories connect to each other through "dualities," or mathematical equivalences.
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As an adolescent in Armenia, Tigran Sloyan used to compete in mathematical Olympiads.
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Mathematical minds had proven elegantly that Mr Schelling's games would always have solutions.
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His mathematical models are overweight in recent games and underweight in earlier ones.
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The mathematical models explained fully 94% of the variance in aggregate market prices.
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Impulsive answers to mathematical questions are, admittedly, quite a specialised form of impulsiveness.
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It evolves in a mathematical realm with more than 10^(10^100) dimensions.
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Knowing whether a polynomial is always nonnegative might seem like a mathematical triviality.
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"It really adds to the many facets of the mathematical experience," he said.
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Their proof stands as one of the biggest mathematical achievements in recent years.
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Those very tangible roots make even esoteric mathematical structures feel concrete to him.
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Feynman found that he could attach a simple mathematical formula to each diagram.
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Gleick reminds us, is ultimately not just a dimension, a concept, a mathematical
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Instead, evidence of the planet was discovered through mathematical modeling and computer simulations.
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China is having a natural, mathematical slowdown given the size of the economy.
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Board games such as Go can be ranked in order of mathematical complexity.
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For mathematical models and other details, there are also two papers posted online.
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But we do have one mathematical property that nicely distinguishes the two methods.
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Sure, it's raw—but the arrangements are as elaborate as a mathematical proof.
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But that reason is actually hard to nail down from a mathematical standpoint.
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Instead, it likely reflects a mathematical calculation that Borking Kavanaugh would be fruitless.
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That's certainly true at this event, where the challenges happen to be mathematical.
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For example, they created a black indigo because Kingery made a mathematical error.
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After this enchanting story you're telling, this person is just a mathematical coincidence.
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Especially when the shape has the sophisticated, mathematical lineage of a Moebius strip.
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DeepMind conquered this by building in new mathematical bonuses to drive AI exploration.
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For several years, Dr. O'Brien was chief of H.I.V. mathematical modeling at CHAI.
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At. N.Y.U., he was a fellow of the Courant Institute of Mathematical Sciences.
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In both cases, the main mathematical effort goes into selecting the right butterfly.
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The piece has been signed with the mathematical formula used to create it.
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These observations can be factored into a mathematical model to visualize the storms.
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With the DUP's 272 votes, they have a mathematical certainty of winning it.
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The other is a mathematical description of each face the participant is viewing.
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It makes intense mathematical calculations, known as mining, needed to confirm Bitcoin transactions.
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" Clinton further pointed to Trump's budget, calling it a "trillion dollar mathematical lie.
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In a ball of paper, scientists discover a landscape of surprising mathematical order.
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Uno has plenty of mathematical ability, but he also has a disability: autism.
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The footage was analyzed to produce the first mathematical model simulating the process.
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Initially, Ms. Rockburne was inspired by set theory, a branch of mathematical logic.
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Another was a skepticism of the mathematical tools used by neoclassical economists elsewhere.
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I've devised a little mathematical formula to assess its potential effect on Sunday.
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Mathematical models suggest that animals are getting sick from prions in the environment.
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Like the mathematical Turing machine, it works by inputting words from a language.
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"What I said was just a mathematical statement," Mnuchin told CNBC on Wednesday.
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According to the principle of explosion, this contradiction potentially invalidated all mathematical proofs.
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The National Museum of American History digitized 80 of Crocket Johnson's Mathematical paintings.
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Burga's conceptualism explores both mathematical systems of organization and subjective values in art.
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