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日期:2024-07-07
A function which is not an algebraic function. In other words, a function which "transcends," i.e., cannot be expressed in terms of, algebra. Examples of transcendental functions include the exponential function, the trigonometric functions, and the inver...
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日期:2024-07-06
Dynamically-Generated Transcendental Function Examples Start with these examples and explore variations on the results: Discover what ......
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日期:2024-07-09
History [edit] The name "transcendental" comes from Leibniz in his 1682 paper where he proved that sin(x) is not an algebraic function of x Euler was probably the first person to define transcendental numbers in the modern sense. Joseph Liouville first pr...
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日期:2024-07-12
In the narrow sense of the word it is a meromorphic function in the complex $z$-plane $\mathbf C$ that is not a rational function. In particular, entire transcendental functions are of this type, that is, entire functions that are not polynomials (cf....
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日期:2024-07-07
Normally, this could be a transcendental experience. It is also a transcendental number, which means it is not algebraic. But the technologies behind both environments make the same transcendental promise: escape from the stink of humanity. Yet the garden...
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日期:2024-07-10
We Russians, speaking generally, have never had those foolish transcendental "romantics"--German, and still more French--on whom nothing produces any effect; if there were an earthquake, if all France perished at the barricades, they would still be the sa...
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日期:2024-07-12
Journal of Number Theory 125 (2007) 298–318 www.elsevier.com/locate/jnt Transcendental values of the digamma function M. Ram Murtya,∗,1,N.Saradhab a Department of Mathematics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada b School of ......
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日期:2024-07-11
There are many technical and scientific applications of exponential (e x), logarithmic (`log x`) and trigonometric functions (`sin x`, `cos x`, etc). In this chapter, we find formulas for the derivatives of such transcendental functions. We need to know t...