Faster access than browser!
55 relations: Almost everywhere, Almost surely, Antiderivative, Cauchy distribution, Cauchy principal value, Closed set, Continuous function, Cumulative distribution function, Degenerate distribution, Differential equation, Dirac delta function, Distribution (mathematics), Dominated convergence theorem, Even and odd functions, Fourier transform, Function (mathematics), George F. D. Duff, Graph of a function, Hyperfunction, Indicator function, Integer, Integral, Iverson bracket, John Wiley & Sons, Kronecker delta, Laplace transform, Laplacian of the indicator, Lebesgue–Stieltjes integration, Linear combination, Logistic distribution, Logistic function, Lp space, Macaulay brackets, McGraw-Hill Education, Multivalued function, Negative number, New York City, Normal distribution, Oliver Heaviside, Open set, Operational calculus, Pointwise, Probability distribution, Ramp function, Random variable, Rectangular function, Sign function, Smoothness, Step function, Step response, ..., Trigonometric integral, University of Denver, Variance, 0, 1. Expand index (5 more) »
Almost everywhere
In measure theory (a branch of mathematical analysis), a property holds almost everywhere if, in a technical sense, the set for which the property holds takes up nearly all possibilities.
New!!: Heaviside step function and Almost everywhere · See more »
Almost surely
In probability theory, one says that an event happens almost surely (sometimes abbreviated as a.s.) if it happens with probability one.
New!!: Heaviside step function and Almost surely · See more »
Antiderivative
In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function is a differentiable function whose derivative is equal to the original function.
New!!: Heaviside step function and Antiderivative · See more »
Cauchy distribution
The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.
New!!: Heaviside step function and Cauchy distribution · See more »
Cauchy principal value
In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.
New!!: Heaviside step function and Cauchy principal value · See more »
Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
New!!: Heaviside step function and Closed set · See more »
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
New!!: Heaviside step function and Continuous function · See more »
Cumulative distribution function
In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.
New!!: Heaviside step function and Cumulative distribution function · See more »
Degenerate distribution
In mathematics, a degenerate distribution is a probability distribution in a space (discrete or continuous) with support only on a space of lower dimension.
New!!: Heaviside step function and Degenerate distribution · See more »
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
New!!: Heaviside step function and Differential equation · See more »
Dirac delta function
In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.
New!!: Heaviside step function and Dirac delta function · See more »
Distribution (mathematics)
Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.
New!!: Heaviside step function and Distribution (mathematics) · See more »
Dominated convergence theorem
In measure theory, Lebesgue's dominated convergence theorem provides sufficient conditions under which almost everywhere convergence of a sequence of functions implies convergence in the L1 norm.
New!!: Heaviside step function and Dominated convergence theorem · See more »
Even and odd functions
In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses.
New!!: Heaviside step function and Even and odd functions · See more »
Fourier transform
The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.
New!!: Heaviside step function and Fourier transform · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Heaviside step function and Function (mathematics) · See more »
George F. D. Duff
George Francis Denton Duff (July 29, 1926 – March 2, 2001) was a Canadian mathematician who did research in partial differential equations and wave phenomena.
New!!: Heaviside step function and George F. D. Duff · See more »
Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
New!!: Heaviside step function and Graph of a function · See more »
Hyperfunction
In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order.
New!!: Heaviside step function and Hyperfunction · See more »
Indicator function
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.
New!!: Heaviside step function and Indicator function · See more »
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
New!!: Heaviside step function and Integer · See more »
Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
New!!: Heaviside step function and Integral · See more »
Iverson bracket
In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that generalises the Kronecker delta.
New!!: Heaviside step function and Iverson bracket · See more »
John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
New!!: Heaviside step function and John Wiley & Sons · See more »
Kronecker delta
In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.
New!!: Heaviside step function and Kronecker delta · See more »
Laplace transform
In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.
New!!: Heaviside step function and Laplace transform · See more »
Laplacian of the indicator
In mathematics, the Laplacian of the indicator of the domain D is a generalisation of the derivative of the Dirac delta function to higher dimensions, and is non-zero only on the surface of D. It can be viewed as the surface delta prime function.
New!!: Heaviside step function and Laplacian of the indicator · See more »
Lebesgue–Stieltjes integration
In measure-theoretic analysis and related branches of mathematics, Lebesgue–Stieltjes integration generalizes Riemann–Stieltjes and Lebesgue integration, preserving the many advantages of the former in a more general measure-theoretic framework.
New!!: Heaviside step function and Lebesgue–Stieltjes integration · See more »
Linear combination
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).
New!!: Heaviside step function and Linear combination · See more »
Logistic distribution
In probability theory and statistics, the logistic distribution is a continuous probability distribution.
New!!: Heaviside step function and Logistic distribution · See more »
Logistic function
A logistic function or logistic curve is a common "S" shape (sigmoid curve), with equation: where.
New!!: Heaviside step function and Logistic function · See more »
Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
New!!: Heaviside step function and Lp space · See more »
Macaulay brackets
Macaulay brackets are a notation used to describe the ramp function A popular alternative transcription uses angle brackets, viz. \langle x \rangle.
New!!: Heaviside step function and Macaulay brackets · See more »
McGraw-Hill Education
McGraw-Hill Education (MHE) is a learning science company and one of the "big three" educational publishers that provides customized educational content, software, and services for pre-K through postgraduate education.
New!!: Heaviside step function and McGraw-Hill Education · See more »
Multivalued function
In mathematics, a multivalued function from a domain to a codomain is a heterogeneous relation.
New!!: Heaviside step function and Multivalued function · See more »
Negative number
In mathematics, a negative number is a real number that is less than zero.
New!!: Heaviside step function and Negative number · See more »
New York City
The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.
New!!: Heaviside step function and New York City · See more »
Normal distribution
In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.
New!!: Heaviside step function and Normal distribution · See more »
Oliver Heaviside
Oliver Heaviside FRS (18 May 1850 – 3 February 1925) was an English self-taught electrical engineer, mathematician, and physicist who adapted complex numbers to the study of electrical circuits, invented mathematical techniques for the solution of differential equations (equivalent to Laplace transforms), reformulated Maxwell's field equations in terms of electric and magnetic forces and energy flux, and independently co-formulated vector analysis.
New!!: Heaviside step function and Oliver Heaviside · See more »
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
New!!: Heaviside step function and Open set · See more »
Operational calculus
Operational calculus, also known as operational analysis, is a technique by which problems in analysis, in particular differential equations, are transformed into algebraic problems, usually the problem of solving a polynomial equation.
New!!: Heaviside step function and Operational calculus · See more »
Pointwise
In mathematics, the qualifier pointwise is used to indicate that a certain property is defined by considering each value f(x) of some function f. An important class of pointwise concepts are the pointwise operations — operations defined on functions by applying the operations to function values separately for each point in the domain of definition.
New!!: Heaviside step function and Pointwise · See more »
Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
New!!: Heaviside step function and Probability distribution · See more »
Ramp function
The ramp function is a unary real function, whose graph is shaped like a ramp.
New!!: Heaviside step function and Ramp function · See more »
Random variable
In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.
New!!: Heaviside step function and Random variable · See more »
Rectangular function
The rectangular function (also known as the rectangle function, rect function, Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as: 0 & \mbox |t| > \frac \\ \frac & \mbox |t|.
New!!: Heaviside step function and Rectangular function · See more »
Sign function
In mathematics, the sign function or signum function (from signum, Latin for "sign") is an odd mathematical function that extracts the sign of a real number.
New!!: Heaviside step function and Sign function · See more »
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.
New!!: Heaviside step function and Smoothness · See more »
Step function
In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals.
New!!: Heaviside step function and Step function · See more »
Step response
The step response of a system in a given initial state consists of the time evolution of its outputs when its control inputs are Heaviside step functions.
New!!: Heaviside step function and Step response · See more »
Trigonometric integral
In mathematics, the trigonometric integrals are a family of integrals involving trigonometric functions.
New!!: Heaviside step function and Trigonometric integral · See more »
University of Denver
The University of Denver (DU) is a research coeducational, four-year university in Denver, Colorado.
New!!: Heaviside step function and University of Denver · See more »
Variance
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.
New!!: Heaviside step function and Variance · See more »
0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
New!!: Heaviside step function and 0 · See more »
1
1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.
New!!: Heaviside step function and 1 · See more »
Redirects here:
Heavi, Heaviside (function), Heaviside function, Heaviside step, Heaviside unit, Heavyside function, Unit setp, Unit step, Unit step function.
References
[1] https://en.wikipedia.org/wiki/Heaviside_step_function
