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  2. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, [1] is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one. [2][3][4] Since there is no function having this property, modelling the delta ...

  3. Autocorrelation - Wikipedia

    en.wikipedia.org/wiki/Autocorrelation

    The (potentially time-dependent) auto-correlation matrix (also called second moment) of a (potentially time-dependent) random vector is an matrix containing as elements the autocorrelations of all pairs of elements of the random vector . The autocorrelation matrix is used in various digital signal processing algorithms.

  4. Delta operator - Wikipedia

    en.wikipedia.org/wiki/Delta_operator

    Delta operator. In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one. To say that is shift-equivariant means that if , then. In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vector" .

  5. Lean (proof assistant) - Wikipedia

    en.wikipedia.org/wiki/Lean_(proof_assistant)

    Apache License 2.0. Website. lean-lang.org. Influenced by. ML Coq Haskell. Lean is a proof assistant and a functional programming language. [ 1 ] It is based on the calculus of constructions with inductive types. It is an open-source project hosted on GitHub.

  6. Numerical continuation - Wikipedia

    en.wikipedia.org/wiki/Numerical_continuation

    Numerical continuation is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter is usually a real scalar and the solution is an n -vector. For a fixed parameter value , maps Euclidean n-space into itself. Often the original mapping is from a Banach space into itself, and the Euclidean n ...

  7. Autoregressive model - Wikipedia

    en.wikipedia.org/wiki/Autoregressive_model

    Autoregressive model. In statistics, econometrics, and signal processing, an autoregressive (AR) model is a representation of a type of random process; as such, it can be used to describe certain time-varying processes in nature, economics, behavior, etc. The autoregressive model specifies that the output variable depends linearly on its own ...

  8. Newton's method - Wikipedia

    en.wikipedia.org/wiki/Newton's_method

    An illustration of Newton's method. In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real -valued function. The most basic version starts with a real-valued ...

  9. Differential operator - Wikipedia

    en.wikipedia.org/wiki/Differential_operator

    The most common differential operator is the action of taking the derivative. Common notations for taking the first derivative with respect to a variable x include: , , and . When taking higher, n th order derivatives, the operator may be written: , , , or . The derivative of a function f of an argument x is sometimes given as either of the ...

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