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日期:2025-07-03
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:2025-07-05
Dynamically-Generated Transcendental Function Examples Start with these examples and explore variations on the results: Discover what ......
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日期:2025-07-01
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:2025-07-06
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:2025-07-07
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:2025-07-04
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...
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日期:2025-07-08
A transcendental function is a function that does not satisfy a polynomial equation whose coefficients are themselves roots of polynomials, in contrast to an ......
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日期:2025-07-07
In other words, a function which "transcends," i.e., cannot be expressed in terms of, algebra. Examples of transcendental functions include the exponential ......