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transcendental equation
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transcendental equation

mathematics
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A transcendental equation is an equation that includes transcendental functions of its unknowns. Transcendental functions are mathematical functions that cannot be expressed using a finite combination of basic algebraic operations like addition, subtraction, multiplication, division, powers, or roots. Examples of transcendental functions include logarithms, trigonometric functions (like sine and cosine), and exponential functions.123

In contrast, algebraic equations involve only these algebraic operations. Equations like x sin(x) = c are considered transcendental because they incorporate a non-algebraic operation (the sine function).3

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