| What influences the development of mathematical reasoning in different population groups? |
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| However, he regarded his rectorship as the most important thing in his life, even more important than his mathematical research. |
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| A mathematical wizard with his name firmly stamped in the Limca Book of Records. |
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| So, in the absence of a mathematical proof deciding this question, none of us has any a priori knowledge about this question in either direction. |
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| Nguyen's work is one manifestation of her longstanding love for rigorous and creative mathematical proofs. |
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| On the other hand he had only a vague idea of what constitutes a mathematical proof. |
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| His publications include a biography of Leonhard Euler and a booklet on mathematical proofs. |
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| The only thing that's missing is perhaps a very solid idea of what it means to do a mathematical proof. |
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| A fractal is a mathematical object that is self-similar irrespective of scale. |
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| An argument becomes a proof when the mathematical community agrees it is such. |
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| His main work involved applying philosophy to mathematics, the philosophy taking precedence over rigorous mathematical proofs. |
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| From such a viewpoint, it would seem possible to arrange mathematical proofs into strata characterized by their degree of simplicity. |
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| An encryption algorithm is a mathematical equation containing the message being encrypted or decrypted. |
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| There are two cams fixed on a common shaft that are mathematical conjugates of one another. |
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| There's some mathematical equation that architects must follow that ensures there are enough bathrooms in a public facility. |
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| His work in chemistry was aimed at establishing it as a mathematical science based on a mechanistic theory of matter. |
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| With this work Lagrange transformed mechanics into a branch of mathematical analysis. |
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| Bonnet also published on cartography, algebra, rational mechanics and mathematical physics. |
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| From 1899 until 1904 he was professor of mechanics and mathematical physics at Columbia. |
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| He explained the mechanical principle of the screw as a form of wedge, and he set out the mathematical characteristics of the helix. |
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| When it came to a philosophy of politics and ethics, again Archytas based his ideas on mathematical foundations. |
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| He thought that he could discover truth by deductive thinking in mathematical terms alone. |
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| He corrects some maths and mathematical terms and gets a less dramatic result. |
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| A good standard of maths is also required as there is a high mathematical content to the course. |
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| Perhaps all we need to do to answer it is to read the mathematical treatises which the Greek mathematicians wrote. |
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| His work is of major importance in mathematical logic, recursion theory and in theoretical computer science. |
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| He worked on mathematical logic, in particular ordinal numbers, recursive arithmetic, analysis, and the philosophy of mathematics. |
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| Her work in mathematical logic was important in the development of the subject in Soviet Union. |
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| Modern arguments are extremely technical, involving microbiology and mathematical logic. |
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| The actual implementation and mathematical logic behind backing up predicates is beyond the scope of this paper. |
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| He continued studying mathematical logic and made important contributions to it. |
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| During this period at Cambridge, Wittgenstein continued to work on the foundations of mathematics and also on mathematical logic. |
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| He wanted to learn about groups, rings and fields, the foundations of mathematics and mathematical logic. |
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| At this stage he was working on mathematical logic but things were not going well. |
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| Mathematics and mathematical logic provide at least one important and, possibly simple, case. |
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| Ruby was the person who had the mathematical ability and she did all the mathematics. |
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| Better to be able to argue about the answer to a clue than to have such mathematical strictness. |
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| The whole show was precise and mathematical, but full of subtle light, warmth and feeling. |
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| As always, what strikes one about French farce is its mix of mathematical precision and bizarre detail. |
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| The movie evokes a mathematical precision in its depiction of coping with loss. |
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| We're also delighted by the mathematical precision that he's used in calculating the future. |
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| He did important work on differential equations and applications to mathematical physics. |
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| The mathematician contemplates how the various mathematical ideas relate to each other. |
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| The mathematical equations of Newton or Einstein make no explicit mention of direction in space. |
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| The first phase of the process is to search for equations that satisfy certain mathematical properties. |
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| He is chiefly known, however, for his work on mathematical and statistical tables. |
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| Do not be put off by the mathematical equation, because this is really not very complicated. |
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| In mathematical language, the diagrams are graphs, and problems arise at the nodes of the graphs. |
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| No mathematical theorem could require the number of pages these fellows were taking! |
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| His interests are in discrete differential geometry and mathematical visualization. |
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| His mathematical work concentrates on set theory, where his concern is the nature of a set. |
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| It introduced a complete system of mathematical and logical notation, yet none is used today. |
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| He also wrote on applications of the symbolic calculus to mathematical physics. |
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| Sometimes this general theory is contemplated or worked out in terms of mathematical equations. |
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| In Newton's theory of motion there is basically one mathematical equation to solve. |
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| He also studied the foundations of geometry which was his own mathematical speciality. |
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| For an asymmetric algorithm, it is easier to attack the underlying mathematical problem. |
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| His mathematical work covered Cartesian geometry and the theory of equations. |
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| He then went on to write further texts on mathematical physics, completing one on elasticity. |
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| Intriguing mathematical patterns did not stop with the set of spectral lines known as the Balmer series. |
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| In 1940 Wilkinson began war work which involved mathematical and numerical work on ballistics. |
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| Here are some useful sites for anyone needing to display diacritical marks, mathematical symbols, etc. |
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| Roberts was a lanky, full-bearded man with jet-black hair, a Quaker, and, like so many in his family, a man of exceptional mathematical skills. |
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| Students are now tested on their verbal, mathematical and written composition instead of just verbal and mathematical. |
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| There was one more speaker, Martyn Fogg, telling us all about mathematical models for terraforming Mars. |
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| The digits of ternary numerals can also help illuminate a peculiar mathematical object called the Cantor set, or Cantor's dust. |
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| Peden's work helps shed light on the apparent tension between artistic freedom and mathematical constraint. |
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| Every schoolboy knows that it is possible to be unsure about a mathematical truth. |
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| Topology is the mathematical discipline concerned with surfaces or manifolds in higher dimensions. |
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| It is not enough for a few savants to be privy to esoteric mathematical knowledge for that knowledge to be influential in a wider culture. |
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| Italian mathematician Giuseppe Peano axiomatized the mathematical theory of natural numbers. |
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| One of the most ancient of mathematical curiosities is the so-called magic square. |
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| The geometric segments of the sails have a quite mathematical purity and austerity. |
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| The mathematical rhythms and yearning lyrics of Tagore's songs are hard to resist. |
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| He kept his unpublished mathematical researches in a bank's safe-deposit box. |
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| Radioactive atoms decay into stable atoms by a simple mathematical process. |
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| In addition to his mathematical work, Talbot also published on astronomy and physics. |
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| Analysis was driven by the requirements of mathematical physics and astronomy. |
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| Some of the initial results of the 2001 Census certainly startled the mathematical boffins. |
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| He then extended his father's work on associative algebras and worked on mathematical logic and set theory. |
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| In formal mathematical logic, one makes frequent use of the existential and universal quantifiers. |
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| Frege's primary concern was to construct a system of logic, formulated in an idealized language, which was adequate for mathematical reasoning. |
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| The logarithm remains an important mathematical function but its use in calculating has gone for ever. |
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| His most important mathematical contribution is the application of geometry to optics. |
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| Geometry is the basic mathematical science, for it includes arithmetic, and mathematical numbers are simply the signs of geometrical magnitude. |
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| The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry and spherical trigonometry. |
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| Also, do taller women have a higher ratio of mathematical and spatial reasoning aptitudes to verbal aptitudes as compared to shorter women? |
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| Intelligence is all of our ability, from mathematical to linguistic to musical to artistic. |
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| When you read a mathematical proof, it's laid out linearly, from the beginning to the end. |
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| Showing them that a line can represent a linear mathematical equation graphically. |
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| He writes on a white pad of paper, wavy lines and strange signs, mathematical symbols. |
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| Before this paper appeared, he published two other papers on rather more conventional mathematical topics. |
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| Turing and Godel, and the complexity theorists who have followed, have made fundamental limitative theorems a fact of mathematical life. |
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| There is no connection with the Vedas, and virtually no mathematical usefulness in these aphorisms. |
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| The principle of moderation, it is affirmed, is the mathematical expression for rightness. |
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| Argument and logic become the sources of mathematical rightness or wrongness, rather than the teacher serving as the authority. |
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| There is an important difference between rightness and mathematical properties. |
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| For certain kinds of mathematical problem, computers have no short cuts to the right answer. |
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| She went to Paris in 1891 for further studies and obtained licentiateships in physics and mathematical sciences. |
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| Godel made an analogy between optical illusions in the physical world and antinomies like Russell's paradox in the mathematical realm. |
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| These calculations not only involved difficult mathematical expressions but also dealt with heavy arithmetical calculations. |
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| It is a mathematical theory that studies topology using matrices, using operators that don't commute with each another. |
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| These are mathematical operations that are very simple to compute in one direction, but require huge computing power to perform in reverse. |
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| Bolzano's theories of mathematical infinity anticipated Georg Cantor's theory of infinite sets. |
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| When things become too stressful he retreats into his mind where he does mathematical puzzles for hours on end to calm himself down. |
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| The quotation we gave above suggests that Li was given the task of correcting and annotating mathematical texts. |
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| He often lectured on the history of mathematical ideas, a topic which greatly fascinated him. |
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| She was scribbling down the different terms and mathematical properties that the teacher had written on the board. |
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| The most convenient or tractable mathematical solutions were used for anatomies or different classes of structures. |
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| Arranging the seating alone requires the mathematical ability of Albert Einstein and the tact of a UN peace commissioner. |
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| These assumed action at a distance and deduced the mathematical laws for induction of electric currents. |
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| The dependent variables in his experiments included mathematical problems, making words from anagrams, as well as creating toys. |
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| Colt was developed using the same mathematical logic as the AAM and Aircraft Sustainability Model used in reparable inventory management. |
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| It will be seen from this that Bellavitis worked on a large range of mathematical topics. |
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| This year I've decided to switch my mathematical allegiance to square numbers. |
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| On the web, there are pages on counterexamples in functional analysis, Clifford algebras, and mathematical programming. |
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| His mathematical publications started in 1964 with a series of papers on topological algebras, measure algebras and Banach algebras. |
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| Malcev also studied Lie groups and topological algebras, producing a synthesis of algebra and mathematical logic. |
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| Among his many mathematical achievements can be included profound discoveries in logic, algebra and differential equations. |
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| Aitken's mathematical work was in statistics, numerical analysis, and algebra. |
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| The mathematical topics that Delone studied include algebra, the geometry of numbers. |
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| They are the basis of mathematical logic, which in turn gives rise to Boolean algebra. |
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| He immediately impressed his teachers with his mathematical ability and he graduated B.A. in 1757 as senior wrangler. |
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| Version 4.0 also encodes the largest set of characters for mathematical and technical publishing in existence. |
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| A working knowledge of basic mathematical concepts is essential in modern life. |
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| Precise mathematical calculations are worked out and this determines how a person's life is affected. |
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| A bagel can serve as a physical model for a mathematical surface called a torus. |
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| She published papers on mathematical logic, recursive function theory, and theoretical computer science. |
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| Pacioli's four mathematical disciplines are the antique and medieval quadrivium. |
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| The mathematical ballistics of 1918 was neither as refined as axiomatic geometry nor as theoretical as algebraic topology. |
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| He was always full of mathematical ideas, not only on game theory, but in geometry and topology as well. |
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| His mathematical work, though not large in quantity, was first-rate in quality. |
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| This book presents the final version of Chaitin's course on the limits of mathematical reasoning. |
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| His interests range from astrophysics and quantum mechanics to mathematical puzzles and games. |
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| Patients with acalculia are unable to perform mathematical calculations, although some other numerical processing may still be available to them. |
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| Aristotle had no mathematical machinery for dealing with the concept of acceleration, so he analysed only states of uniform velocity. |
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| Isoperi metric problems have been a source of important mathematical ideas and techniques since classical antiquity. |
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| It also implies that a computer can never be programmed to answer all mathematical questions. |
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| Naturally quick-witted with a sharp tongue, he ponders decisions with mathematical precision. |
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| He also designed waterwheels in Ulm and made mathematical and surveying instruments, particularly ones with military applications. |
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| This guy has built various mathematical surfaces from lego blocks and some of them look amazingly intricate. |
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| Albert Einstein once quipped that the greatest mathematical discovery of all time is compound interest. |
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| He studied mathematical physics and acoustics producing a major study in 1862 which looked at musical theory and the perception of sound. |
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| But here we're making predictions based on certain assumptions, just like Gartner is, and using similar mathematical jiggery-pokery. |
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| Matrix theory itself became more than just part of a scientist's toolkit and earned a place as an important field of mathematical research. |
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| The fund manager of an index fund sets up a mathematical model that buys and sells shares according to their weighting in the selected index. |
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| A class of mathematical problems is called recursive if there is an algorithm for finding the answer in each individual case. |
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| Another component is a more mathematical concept called recursion and the ability to imbed structures within structures. |
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| If human beings are capable of deciding the truth value of every well-formed mathematical statement, then classical logic will prevail after all. |
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| Furthermore, Hilbert's work on metamathematics has greatly improved our understanding of the nature of mathematical reasoning. |
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| Less populated states would likely have been beneficiaries of this somewhat flawed mathematical adjustment. |
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| The Romans erected a tomb in his honor inscribed with the image of a sphere within a cylinder in tribute to his great mathematical discoveries. |
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| Which mathematical theory best describes real space is an empirical issue, not decidable independently of physical considerations. |
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| This is an admirable compendium of the mathematical theories of the aerodynamics of aerofoils and wings. |
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| We are also in the three top-performing countries on mathematical ability, reading, and literacy. |
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| We sense a mathematical basis for the design, but one that lies beyond our ken. |
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| This was the age of reason and enlightenment where science was fitting the heavens into the clockwork precision of mechanical, mathematical laws. |
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| Stephen paints with his impressionistic views of vast, cool mathematical landscapes. |
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| With mathematical reasoning we smooth out differences in our dealings with each other. |
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| If, however, the 60 deputies had been apportioned to the various constituencies on the basis of ordinary mathematical equality, the results would have been as follows. |
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| From experience students require a grade A in mathematics at A2 level to be able to cope with the mathematical content of the physics courses abroad. |
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| One conclusion that one might be tempted to draw from this is that mathematical truths cannot, after all, imply the existence of specific abstract objects of any kind. |
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| In short, a quant combs through price ratios and mathematical relationships between companies or trading vehicles in order to divine profitable trading opportunities. |
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| Conventional economic theory follows a mathematical paradigm pioneered by classical physics, embodying smooth, differentiable functions, and dominant equilibria. |
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| Darwin showed by an exemplary mathematical argument that the structure of the comb was precisely that which would minimize the amount of wax used by the swarm. |
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| The maximum deviation of the cantilever from horizontal was 0.06 radians, and so no mathematical or mechanical correction for rotation of the cantilever was implemented. |
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| Why should you, the human being, have to do the mathematical drudgework of doing this kind of computation? |
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| The range of Walker's mathematical research was quite impressive. |
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| Meanwhile, Daniel Larkin from Nagle Community College, Blackrock, Cork, has created a mathematical formula to do the perfect wheelie on a motorbike or bicycle. |
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| Satellites normally orbit planets in Keplerian orbits, named after Johannes Kepler, who wrote the mathematical equations that describe how satellites move. |
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| This faith in the indubitable certainty of mathematical proofs was sadly shaken around 1900 by the discovery of the antinomies or paradoxes of set theory. |
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| Feeling uncertain of his understanding of the mathematical concepts, he asked senior mathematicians to test his grasp of the more recondite concepts. |
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| It costs less to make a cluster computer out of a group of personal computers or workstations than to buy a supercomputer to perform enormous mathematical tasks. |
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| We have developed a mathematical model to evaluate the flow and erosional potential of submarine, channelized komatiite lavas at Kambalda, Western Australia. |
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| It was an exciting time with increasing mathematical activity in algebra. |
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| Paniker not only played upon the abstraction of the words and scripts but also incorporated mathematical formulae, algebraic equations and diagrams of horoscopes. |
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| The overall style of Gordan's mathematical work was algorithmic. |
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| He also explains that from a higher mathematical vantage point, our dimension would seem less dimensional. |
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| The hunt for treasure will include a visit to the old rose garden, the hop garden, the old engine pond, the Japanese garden and the new mathematical maze in the woods. |
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| A mathematical model for the prediction of potential altimetric stream network evolution due to erosion and sedimentation processes is here formalized. |
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| A few quick mathematical calculations will show that there's heaps, piles, zillions more places where conditions like this exist in Space than on a planet's surface. |
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| There are often steps taken by hackers to use sophisticated mathematical formulas to encrypt their communications. |
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| They also realized that descriptions and explanations of observed phenomena could be phrased in mathematical or geometrical rather than anthropomorphic terms. |
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| One of Maxwell's most important achievements was his extension and mathematical formulation of Michael Faraday's theories of electricity and magnetic lines of force. |
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| The necessary background mathematical tools are then introduced such as the arithmetical operations on sexagesimal fractions and the trigonometric functions. |
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| He lodged in a house in High Saint Agnesgate where he wrote mathematical treatise under his own name as well as working on part of Through the Looking Glass. |
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| To accommodate the rich level of activity hoped for in his mathematical laboratory, he proposed that two consecutive class periods be allocated to it. |
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| But while mathematical formalism may camouflage assumptive foolishness, it does not correct its theoretical effects and may exaggerate them, hence the unrealistic result. |
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| Wilczynski began his research career as a mathematical astronomer. |
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| I knew it was one of those mathematical teasers that my brother would love, so printed it off to show him during my nieces' birthday party over the weekend. |
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| The mathematical description of heat flow linked his work on thermodynamics, the cooling of the Earth and even the flow of electrical signals through telegraph wires. |
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| By building a mathematical pattern of his probable future movements, Rosso claimed, the software could succeed where thousands of police man-hours had failed. |
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| Knowing that Chinese rulers especially respected the mathematical sciences, he studied them diligently and became proficient at map-making and astronomy. |
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| Educators have also applied paper folding to such diverse mathematical objects as logical structures, axiomatic systems, and tessellations with geometrical figures. |
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| From there, a mathematical model was developed of each item's intrinsic consumer demand and its response to markdowns, promotions, seasonality and other factors. |
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| I also read about a new play that explored mathematical theorems. |
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| A mathematical string can vibrate in many patterns, which represent a different type of particle, and among these are certain patterns that represent massless particles. |
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| He shook his head as he glossed over the mathematical equations again. |
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| Yet there is nothing mathematical or precise about his career progression. |
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| There he began to get more involved in the study of mathematical logic. |
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| In fact, it's thought that the mathematical structure embedded in the rhythm and melody of music is what our brains latch on to, and that this is why we enjoy listening to it. |
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| He would also have us believe that somehow, serialists and atonalists could bury expression in their music by piling on the mathematical base on which their music was founded. |
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| Reye's early interest in mathematical physics and meteorology turned to an interest in geometry even while he held the lectureship in mathematical physics at Zurich. |
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| He worked in a wide variety of mathematical areas including general topology, topological vector spaces, algebraic geometry, invariant theory and the classical groups. |
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| The introduction of microeconomics into model building has led to complex mathematical issues as far as estimations of various parameters are concerned. |
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| These exams were undoubtedly among of the most severe mathematical tests. |
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| There was another period, seven years later, when his interest was aroused by the issues around computation of mathematical tables. |
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| There are typically multiple ways to axiomatize a given mathematical domain. |
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| Category theory takes the idea of mathematical analogy much further with the concept of functors. |
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| Some types of analogies can have a precise mathematical formulation through the concept of isomorphism. |
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| Extracted data was used to generate both a linear and a logarithmic mathematical model. |
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| Two transistors together form a logic gate, which is what allows a computer to manage mathematical operations. |
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| In many mathematical models, a system in which noncooperators are punished seems stable, once established. |
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| From there analogy was understood as identity of relation between any two ordered pairs, whether of mathematical nature or not. |
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| In mathematics, syntax refers to the rules governing the behavior of mathematical systems, such as formal languages used in logic. |
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| An alumnus of the Warsaw School of Mathematics was Antoni Zygmund, one of the shapers of 20th century mathematical analysis. |
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| Thus, we believe this work can serve as a mathematical basis for the development of a new generation of adaptive microfounded economic models. |
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| Its early work on mathematical curve modeling for car bodies is important in the history of computer graphics. |
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| Analyses all required a planar mathematical discretization of a region containing a prescribed number of cells with prescribed orientations. |
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| He collected Brooke Bond tea cards about space, owned a telescope and wanted to be an astronomer but lacked the necessary mathematical skills. |
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| This mathematical discipline, by the help of geometrical principles, doth teach to contrive several weights and powers unto motion or rest. |
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| This is a modern computer for the solution of matrically formulated implicit mathematical relations such as differential equations systems. |
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| Algorithm synthesis of chemical reactor networks using mathematical programming. |
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| He thought that mathematical 'thought experiments' are a valid way to discover mathematical conjectures and proofs. |
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| A model can be a simulation, mathematical or chemical formula, or set of proposed steps. |
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| In 1647, Hobbes took up a position as mathematical instructor to the young Charles, Prince of Wales, who had come over from Jersey around July. |
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| While there, he lectured on Latin grammar, Aristotelian logic, arithmetic, geometry, and the mathematical aspects of astronomy and music. |
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| Despite these concerns, mainstream graduate programs have become increasingly technical and mathematical. |
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| Appropriate as many mathematical techniques and metaphorical expressions from contemporary respectable science, primarily physics as possible. |
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| This corresponded to the influence on the subject of mathematical methods used in the natural sciences. |
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| Professional economists are expected to be familiar with these tools, while a minority specialize in econometrics and mathematical methods. |
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| In mathematical jargon, the derivative is a linear operator which inputs a function and outputs a second function. |
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| Newton had previously invented the calculus, of mathematics, and used it to perform the mathematical calculations. |
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| It consists of the physical concepts employed by and the mathematical methods invented by Newton, Leibniz and others. |
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| Turing proved that if an algorithm can be written to solve a mathematical problem, then a Turing machine can execute that algorithm. |
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| Wiles's proof of Fermat's Last Theorem has stood up to the scrutiny of the world's other mathematical experts. |
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| Hardy's collaboration with Littlewood is among the most successful and famous collaborations in mathematical history. |
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| From 1911 he collaborated with John Edensor Littlewood, in extensive work in mathematical analysis and analytic number theory. |
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| After schooling at Cranleigh, Hardy was awarded a scholarship to Winchester College for his mathematical work. |
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| His development of Twistor Theory has produced a beautiful and productive approach to the classical equations of mathematical physics. |
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| In 2004 he was awarded the De Morgan Medal for his wide and original contributions to mathematical physics. |
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| Penrose is known for his work in mathematical physics, in particular for his contributions to general relativity and cosmology. |
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| Dirac's attention was drawn to a mysterious mathematical relationship, at first sight unintelligible, that Heisenberg had reached. |
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| Theodore Hailperin showed much earlier that Boole had used the correct mathematical definition of independence in his worked out problems. |
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| Boole completed two systematic treatises on mathematical subjects during his lifetime. |
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| In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived. |
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| As a result, he was disappointed in the standard mathematical instruction available at the university. |
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| Much of his work in mathematical modelling of chemical processes can be thought of as early computational chemistry. |
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| Thomson published a number of papers addressing both mathematical and experimental issues of electromagnetism. |
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| Hooke also did not provide accompanying evidence or mathematical demonstration. |
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| Newton gave Boyle's ideas their completion through mathematical proofs and, perhaps more importantly, was very successful in popularising them. |
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| In 1665, he discovered the generalised binomial theorem and began to develop a mathematical theory that later became calculus. |
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| Wittgenstein's thought was supported and nurtured by the development of mathematical logic. |
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| For example, the technical concept of time arose in science, and timelessness was a hallmark of a mathematical topic. |
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| Random variable is a defined mathematical entity used mainly to describe chances in a mathematical way. |
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| His mathematical interests are Algebraic Number Theory, Algebraic Geometry and Elliptic Curves and Modular Forms. |
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| The procedure relies on mathematical operations called affine transformations. |
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| Lakatos proposed an account of mathematical knowledge based on Polya's idea of heuristics. |
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| A more general four-dimensional affine transformation will take its place which has mathematical group properties as well. |
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| The quality of these attracted the eye of the Apprentice Wing commanding officer, who noted that Whittle was also a mathematical genius. |
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| This is a must-buy upgrade for MathType users who create Web pages with mathematical content. |
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| The Wick rotation is a mathematical operation applied to quantum wavefunctions. |
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| A precocious mathematician, Babbage was already well versed in the Continental mathematical notations when he went up to Cambridge. |
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| Statistics is the only mathematical field required for many social sciences. |
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| George's collection of mathematical and scientific instruments is now housed in the Science Museum, London. |
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| This mathematical problem is really difficult. Oh, screw it! I can't be bothered. |
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| Using methods of literature material, video observation and mathematical statistics, this paper analyzed sanda players' leg-applied technology. |
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| Out of this work came another of Wren's important mathematical results, namely that the hyperboloid of revolution is a ruled surface. |
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| Surviving maps from the medieval period were not done according to mathematical principles. |
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| Ptolemy combined the mathematical, philosophical and physiological traditions. |
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| The text's beginning chapters, on mathematical preliminaries, cover tensors in amorphous spaces and in Riemann spaces. |
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| The system dynamic mathematical model of the marine steam turbine can be defined by means of differential equations. |
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| Ptolemy wrote about how musical notes could be translated into mathematical equations and vice versa in Harmonics. |
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| They developed the endogenous growth theory that includes a mathematical explanation of technological advancement. |
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| With cEDGE, we found a way to make the most efficient use of the limited mathematical logic contained in a DVD player. |
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| Modern ephemerides are often computed electronically from mathematical models of the motion of astronomical objects and the Earth. |
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| The Renaissance image known as the Vitruvian Man represented a symbolic and mathematical exploration of the human form as world axis. |
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| The mathematical science of logic likewise had revolutionary breakthroughs after a similarly long period of stagnation. |
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| Giuseppe Peano, founded the mathematical logic, the set theory, and alongside John Venn drew the first Venn diagram. |
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| In addition, rigorous and purely mathematical treatments have provided an axiomatic approach to classical thermodynamics and temperature. |
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| Climate models are mathematical models of past, present and future climates. |
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| The discoveries of several Greek mathematicians, including Pythagoras, Euclid, and Archimedes, are still used in mathematical teaching today. |
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| Brownian motion is the mathematical model used to describe the random movement of particles suspended in a fluid. |
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| Various mathematical schemes, or algorithms, use these and other properties to estimate precipitation from the IR data. |
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| The global definition of the Earth's field is based on a mathematical model. |
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| For a mathematical formulation see Mathematical derivation of fictitious forces. |
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| A mathematical model used to simulate river or stream flow and calculate water quality parameters is a hydrological transport model. |
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| A mathematical analytical solution was obtained by Fowler and Yang to show the theoretical basis for Athy's law. |
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| Ptolemy's comprehensive treatise of mathematical astronomy superseded most older texts of Greek astronomy. |
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| The Mandelbrot set serves as a prime example of how simple mathematical operations can yield astonishingly complex geometric forms. |
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| In contrast to the mathematical Syntaxis, the Planetary Hypotheses is sometimes described as a book of cosmology. |
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| She explains the mathematical history involved, including the influence of Boolean logic on Dodgson. |
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| They are simplified abstractions of real food webs, but complex in their dynamics and mathematical implications. |
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| Runoff is analyzed by using mathematical models in combination with various water quality sampling methods. |
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| These proceedings from the October 2003 workshop and conference include invited and contributed talks on mathematical logic. |
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| Because of Millennium Solution's mathematical logic, Walker was able to identify the only module that needed to be modified for Year 2000 bugs. |
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| Recall that the branch of mathematical logic called Proof Theory is only concerned with validity and varieties of constructivity. |
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| For this purpose we formulate mathematical model describing heating or cooling of a semi-infinite region. |
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| But the reading is not so much mathematical as merely arithmetical, not so much a mathematization as an accounting. |
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| For example, we can mathematize this world and study it in terms of mathematical physics. |
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