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  2. Antiderivative - Wikipedia

    en.wikipedia.org/wiki/Antiderivative

    Unlike Example 1, f(x) is unbounded in any interval containing 0, so the Riemann integral is undefined. If f(x) is the function in Example 1 and F is its antiderivative, and {} is a dense countable subset of the open interval (,), then the function = = has an antiderivative = = ().

  3. Nonelementary integral - Wikipedia

    en.wikipedia.org/wiki/Nonelementary_Integral

    Nonelementary integral. In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function (i.e. a function constructed from a finite number of quotients of constant, algebraic, exponential, trigonometric, and logarithmic functions using field ...

  4. Constant of integration - Wikipedia

    en.wikipedia.org/wiki/Constant_of_integration

    Constant of integration. In calculus, the constant of integration, often denoted by (or ), is a constant term added to an antiderivative of a function to indicate that the indefinite integral of (i.e., the set of all antiderivatives of ), on a connected domain, is only defined up to an additive constant. [1] [2] [3] This constant expresses an ...

  5. Red/black concept - Wikipedia

    en.wikipedia.org/wiki/RED/BLACK_concept

    Red/black box. The red/black concept, sometimes called the redblack architecture [1] or red/black engineering, [2] [3] refers to the careful segregation in cryptographic systems of signals that contain sensitive or classified plaintext information ( red signals) from those that carry encrypted information, or ciphertext ( black signals ).

  6. Tangent half-angle substitution - Wikipedia

    en.wikipedia.org/wiki/Tangent_half-angle...

    Miscellanea. v. t. e. In integral calculus, the tangent half-angle substitution is a change of variables used for evaluating integrals, which converts a rational function of trigonometric functions of into an ordinary rational function of by setting . This is the one-dimensional stereographic projection of the unit circle parametrized by angle ...

  7. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    Division by zero. The reciprocal function y = ⁠ 1 x⁠. As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.

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