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Wigner argues that mathematical concepts have applicability far beyond the context in which they were originally developed. He writes: "It is important to point out that the mathematical formulation of the physicist's often crude experience leads in an uncanny number of cases to an amazingly accurate description of a large class of phenomena."
A figure of speech or rhetorical figure is a word or phrase that intentionally deviates from straightforward language use or literal meaning to produce a rhetorical or intensified effect (emotionally, aesthetically, intellectually, etc.). [1] [2] In the distinction between literal and figurative language, figures of speech constitute the latter.
Many areas of mathematics began with the study of real world problems, before the underlying rules and concepts were identified and defined as abstract structures.For example, geometry has its origins in the calculation of distances and areas in the real world; algebra started with methods of solving problems in arithmetic.
Rather than focus on narrow debates about the true nature of mathematical truth, or even on practices unique to mathematicians such as the proof, a growing movement from the 1960s to the 1990s began to question the idea of seeking foundations or finding any one right answer to why mathematics works.
A mathematical joke is a form of humor which relies on aspects of mathematics or a stereotype of mathematicians.The humor may come from a pun, or from a double meaning of a mathematical term, or from a lay person's misunderstanding of a mathematical concept.
The use of many symbols is the basis of mathematical notation. They play a similar role as words in natural languages . They may play different roles in mathematical notation similarly as verbs, adjective and nouns play different roles in a sentence.
When defining a term, do not use the phrase "if and only if". For example, instead of A function f is even if and only if f(−x) = f(x) for all x; write A function f is even if f(−x) = f(x) for all x. If it is reasonable to do so, rephrase the sentence to avoid the use of the word "if" entirely. For example,
Authors including Chomsky and Halle group and as sibilants. However, they do not have the grooved articulation and high frequencies of other sibilants, and most phoneticians [ 1 ] continue to group them together with bilabial [ ΙΈ ] , [ β ] and (inter)dental [ θ ] , [ ð ] as non-sibilant anterior fricatives.