| 单词 | mathematical |
| 释义 | mathematical (mæθəmætɪkəl ) 1. adjective [ADJECTIVE noun] B2 Something that is mathematical involves numbers and calculations. ...mathematical calculations. The ship is holed. It's a mathematical certainty that it will sink. mathematically (mæθəmætɪkli ) adverb [ADVERB with verb, ADVERB adjective] ...a mathematically complicated formula. Mathematically, it made sense. 2. adjective [usually ADJECTIVE noun] B2 If you have mathematical abilities or a mathematical mind, you are clever at doing calculations or understanding problems that involve numbers. ...children who display extraordinary mathematical ability. ...a mathematical genius. mathematically adverb [ADVERB -ed/adjective] Anyone can be an astrologer as long as they are mathematically minded. Collocations: mathematical analysis Once its relative safety had been demonstrated by limited human experimentation (on prisoners promised their liberty: they survived) and later by mathematical analysis, variolation became widely practised. The Times Literary Supplement The mistakes leading to the emergence of sociobiology are attributed, among other things, to an incorrect mathematical analysis. The Times Literary Supplement Due to depth and precision of presentation of material, these books are defined as classical position in mathematical analysis. Retrieved from Wikipedia CC BY-SA 3.0 He was specialising mainly in mathematical analysis and differential equations. Retrieved from Wikipedia CC BY-SA 3.0 The real problems encountered in these and many other areas offer scope for the general equilibrium mathematical analysis of second-best policies. Retrieved from Wikipedia CC BY-SA 3.0 It provided a general mathematical framework for researchers to operate in. Retrieved from Wikipedia CC BY-SA 3.0 Information theory provides the mathematical framework for analyzing communication systems. Retrieved from Wikipedia CC BY-SA 3.0 But with its own set of laws it may be included in a mathematical framework. Retrieved from Wikipedia CC BY-SA 3.0 The calculus of variations and level set methods can be used as a mathematical framework for investigating solutions of the problem. Retrieved from Wikipedia CC BY-SA 3.0 At the time of discovery, rsted did not suggest any satisfactory explanation of the phenomenon, nor did he try to represent the phenomenon in a mathematical framework. Retrieved from Wikipedia CC BY-SA 3.0 Instead of compiling a program literally, it compiles the mathematical function it denotes. Retrieved from Wikipedia CC BY-SA 3.0 One also usefully can approximate the particle size distribution using a mathematical function. Retrieved from Wikipedia CC BY-SA 3.0 A mathematical function has one or more arguments in the form of independent variables designated in the function's definition, which can also contain parameters. Retrieved from Wikipedia CC BY-SA 3.0 You can think of these composition operators as a generalization of the mathematical function composition operator. Retrieved from Wikipedia CC BY-SA 3.0 A mathematical function, the wavefunction, provides information about the probability amplitude of position, momentum, and other physical properties of a particle. Retrieved from Wikipedia CC BY-SA 3.0 A recent report criticised varying standards of assessment among boards, saying that little mathematical knowledge was required. Times, Sunday Times Astrology, a form of algorithmic thinking and driver of the development of mathematical knowledge, he argues, provides the perfect material for him to do this. The Times Literary Supplement In others no mathematical knowledge was required, while in a few questions no scientific knowledge was needed. Times, Sunday Times It studies approaches such as databases of mathematical knowledge, automated processing of formulae and the use of semantic information, and artificial intelligence. Retrieved from Wikipedia CC BY-SA 3.0 The astronomical and mathematical knowledge of the members of this family was passed from generation to generation through teacher-pupil relationships. Retrieved from Wikipedia CC BY-SA 3.0 It's a mathematical method for analysing strategic interactions. Times, Sunday Times This being economics, some enthusiasts have pressed into service a semi-respectable mathematical method to add credibility to their guesswork. Times, Sunday Times Here they introduced a new, mathematical method based upon partial waves. Retrieved from Wikipedia CC BY-SA 3.0 The ellipsoid formalism functions also as a mathematical method of organizing tensor data. Retrieved from Wikipedia CC BY-SA 3.0 Upon exiting he had formulated analytical geometry and the idea of applying the mathematical method to philosophy. Retrieved from Wikipedia CC BY-SA 3.0 Instead, he told them, they must focus on the 'mathematical possibility' of securing a top-four finish. Times, Sunday Times This could be a subtle acknowledgment of the mathematical possibilities of their interactions, only this implies a tone far more detached than the show delivers. Times, Sunday Times First there was hope, then a fear of failure that gave way to blind optimism and an undue reliance on mathematical possibilities. Times, Sunday Times On the other hand it irritates me to hear managers constantly harping on about mathematical possibilities. Times, Sunday Times But there are other mathematical possibilities which have not been detected in nature yet. Retrieved from Wikipedia CC BY-SA 3.0 What the exponents of the old left were like humanly depended - with mathematical precision - on how doctrinaire they were. Times, Sunday Times They might, for example, discover that real glaciers don't melt with mathematical precision but can snap off in chunks. Times, Sunday Times The mathematical precision of the planning was the concerted effort of surveyors. Retrieved from Wikipedia CC BY-SA 3.0 The lack of mathematical precision in the shape of the larger dish, fig. 20, immediately shows the absence of potter wheel in its manufacture. Retrieved from Wikipedia CC BY-SA 3.0 Some of his painting and drawing demonstrates a mathematical precision that almost has the appearance of being computer-generated. Retrieved from Wikipedia CC BY-SA 3.0 There were many other constraints, too, including 42 lists of 10 objects each, which generated each chapter according to another mathematical principle. Times, Sunday Times As invoked in everyday life, the law usually reflects bad statistics or wishful thinking rather than any mathematical principle. Retrieved from Wikipedia CC BY-SA 3.0 It's a complex profession, requiring a broad understanding of technology, an awareness of how to use data, plus a good grounding in a variety of other scientific and mathematical principles. Times, Sunday Times There was one more movement, omitted by the composer according to his mathematical principles, which would be placed between the second and the third movement. Retrieved from Wikipedia CC BY-SA 3.0 The mathematical principles governing interplanetary astrogation were first derived by mathematical physicists in the 19th and 20th centuries. Retrieved from Wikipedia CC BY-SA 3.0 Its design was marketed as enjoying the status of mathematical proof. Christianity Today It remains the private part of a public discourse, lost between the lines of a mathematical proof or buried in the cold embrace of scientific prose. Times, Sunday Times Plausibility arguments using heuristic devices such as pictures and analogies preceded strict mathematical proof. Retrieved from Wikipedia CC BY-SA 3.0 See definitions of the exponential function for the mathematical proof of this limit. Retrieved from Wikipedia CC BY-SA 3.0 A proof would have to be a mathematical proof, assuming both the algorithm and specification are given formally. Retrieved from Wikipedia CC BY-SA 3.0 Logic puzzles are a common type of mathematical puzzle. Retrieved from Wikipedia CC BY-SA 3.0 It became a sort of mathematical puzzle to determine what the total number of sequences would be, given these (imagined) patterns. Retrieved from Wikipedia CC BY-SA 3.0 Early on in his public speaking career topics centred on his mathematical puzzle and conservative politics. Retrieved from Wikipedia CC BY-SA 3.0 On her first day she was warned that one of the young scientists liked to give new people mathematical puzzles that nobody could work out. Times, Sunday Times It also explained my love of numbers and mathematical puzzles. The Sun A 2003 study showed that middle-aged people who regularly engaged in logic and memory games performed better on short-term memory, mathematical reasoning and vocabulary tests than middle-aged people who didn't. Times, Sunday Times At three different points they completed tests assessing verbal and mathematical reasoning, verbal fluency and short-term memory. Times, Sunday Times When students know how to use mathematical reasoning, they are less anxious about solving problems. Retrieved from Wikipedia CC BY-SA 3.0 Some derivation rules and formal languages are intended to capture mathematical reasoning; the most common examples use first-order logic. Retrieved from Wikipedia CC BY-SA 3.0 Class discussions can lead students to appreciate the basic principles of mathematical reasoning, such as the importance of definitions. Retrieved from Wikipedia CC BY-SA 3.0 Some 8,020 candidates had been placed on mathematical science degrees by yesterday morning compared with 9,040 at the same stage last year - a fall of 11 per cent. Times, Sunday Times Applied statistics can be regarded as not a field of mathematics but an autonomous mathematical science, like computer science and operations research. Retrieved from Wikipedia CC BY-SA 3.0 Numerical analysis and, more broadly, scientific computing also study non-analytic topics of mathematical science, especially algorithmic matrix and graph theory. Retrieved from Wikipedia CC BY-SA 3.0 In his secular life he was devoted to mathematical science, and particularly to astronomy. Retrieved from Wikipedia CC BY-SA 3.0 In the year of 1959/60, a new division of mathematical science, and another division were introduced. Retrieved from Wikipedia CC BY-SA 3.0 A new mathematical symbol, perhaps? Times, Sunday Times The red triangles represent the sacrifice of early settlers, stability and balance, and the mathematical symbol delta. Retrieved from Wikipedia CC BY-SA 3.0 This gave rise to the modern mathematical symbol. Retrieved from Wikipedia CC BY-SA 3.0 The obelus was also occasionally used as a mathematical symbol for subtraction. Retrieved from Wikipedia CC BY-SA 3.0 This would allow for support of mathematical symbols and other symbols in the rendered output for easier reading. Retrieved from Wikipedia CC BY-SA 3.0 He learnt enough archaeology to appreciate the complexities of the problem, while bringing his deep mathematical technique to bear in surprising ways. Times, Sunday Times That research involved the use of the mathematical technique known as factor analysis. Retrieved from Wikipedia CC BY-SA 3.0 Over time the association of variables with physical quantities faded away as mathematical technique grew. Retrieved from Wikipedia CC BY-SA 3.0 This formal method provides a mathematical technique for deconstructing interaction between witting and unwitting bystanders and observers, participants in the performance and the performers themselves. Retrieved from Wikipedia CC BY-SA 3.0 To gain a genuine understanding of unpredictable reality, some unorthodox economists may employ new mathematical techniques of non-linear dynamics and chaos theory. Times, Sunday Times Examples: a computer, an employee, a song, a mathematical theorem. Retrieved from Wikipedia CC BY-SA 3.0 The theorem has numerous proofs, possibly the most of any mathematical theorem. Retrieved from Wikipedia CC BY-SA 3.0 Most computer-aided proofs to date have been implementations of large proofs-by-exhaustion of a mathematical theorem. Retrieved from Wikipedia CC BY-SA 3.0 In practice, when determining the converse of a mathematical theorem, aspects of the antecedent may be taken as establishing context. Retrieved from Wikipedia CC BY-SA 3.0 Do famous artists need to use mathematical theorems to produce aesthetically pleasing art? Times, Sunday Times But no satisfactory mathematical theory of concept-similarity has been developed yet. Retrieved from Wikipedia CC BY-SA 3.0 This includes articles on shape characteristics, as well as mathematical theory in differential geometry and the like. Retrieved from Wikipedia CC BY-SA 3.0 Whenever this happens, mathematical theory behind the equations can be viewed as a unifying principle behind diverse phenomena. Retrieved from Wikipedia CC BY-SA 3.0 Borrowing heavily from population genetics and epidemiology, this book built a mathematical theory concerning the spread of cultural traits. Retrieved from Wikipedia CC BY-SA 3.0 Papers in operations research journals on mathematical theory often contain supporting numerical results from computational studies. Retrieved from Wikipedia CC BY-SA 3.0 Translations: Chinese: 数学的 Japanese: 数学の |
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