Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Distribution (mathematics) and Laplace transform

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Distribution (mathematics) and Laplace transform

Distribution (mathematics) vs. Laplace transform

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis. In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.

Similarities between Distribution (mathematics) and Laplace transform

Distribution (mathematics) and Laplace transform have 20 things in common (in Unionpedia): Abuse of notation, Continuous function, Convolution, Derivative, Dirac delta function, Engineering, Fourier transform, Fubini's theorem, Heaviside step function, Holomorphic function, Injective function, Integration by parts, Lebesgue integration, Locally integrable function, Lp space, Pathological (mathematics), Physics, Real number, Vague topology, Weak topology.

Abuse of notation

In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct intuition (while being unlikely to introduce errors or cause confusion).

Abuse of notation and Distribution (mathematics) · Abuse of notation and Laplace transform · 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.

Continuous function and Distribution (mathematics) · Continuous function and Laplace transform · See more »

Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

Convolution and Distribution (mathematics) · Convolution and Laplace transform · See more »

Derivative

The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).

Derivative and Distribution (mathematics) · Derivative and Laplace transform · See more »

Dirac delta function

In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.

Dirac delta function and Distribution (mathematics) · Dirac delta function and Laplace transform · See more »

Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

Distribution (mathematics) and Engineering · Engineering and Laplace transform · 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.

Distribution (mathematics) and Fourier transform · Fourier transform and Laplace transform · See more »

Fubini's theorem

In mathematical analysis Fubini's theorem, introduced by, is a result that gives conditions under which it is possible to compute a double integral using iterated integrals.

Distribution (mathematics) and Fubini's theorem · Fubini's theorem and Laplace transform · See more »

Heaviside step function

The Heaviside step function, or the unit step function, usually denoted by or (but sometimes, or), is a discontinuous function named after Oliver Heaviside (1850–1925), whose value is zero for negative argument and one for positive argument.

Distribution (mathematics) and Heaviside step function · Heaviside step function and Laplace transform · See more »

Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.

Distribution (mathematics) and Holomorphic function · Holomorphic function and Laplace transform · See more »

Injective function

In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.

Distribution (mathematics) and Injective function · Injective function and Laplace transform · See more »

Integration by parts

In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of their derivative and antiderivative.

Distribution (mathematics) and Integration by parts · Integration by parts and Laplace transform · See more »

Lebesgue integration

In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the -axis.

Distribution (mathematics) and Lebesgue integration · Laplace transform and Lebesgue integration · See more »

Locally integrable function

In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite) on every compact subset of its domain of definition.

Distribution (mathematics) and Locally integrable function · Laplace transform and Locally integrable 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.

Distribution (mathematics) and Lp space · Laplace transform and Lp space · See more »

Pathological (mathematics)

In mathematics, a pathological phenomenon is one whose properties are considered atypically bad or counterintuitive; the opposite is well-behaved.

Distribution (mathematics) and Pathological (mathematics) · Laplace transform and Pathological (mathematics) · See more »

Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

Distribution (mathematics) and Physics · Laplace transform and Physics · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Distribution (mathematics) and Real number · Laplace transform and Real number · See more »

Vague topology

In mathematics, particularly in the area of functional analysis and topological vector spaces, the vague topology is an example of the weak-* topology which arises in the study of measures on locally compact Hausdorff spaces.

Distribution (mathematics) and Vague topology · Laplace transform and Vague topology · See more »

Weak topology

In mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance on a Hilbert space.

Distribution (mathematics) and Weak topology · Laplace transform and Weak topology · See more »

The list above answers the following questions

Distribution (mathematics) and Laplace transform Comparison

Distribution (mathematics) has 118 relations, while Laplace transform has 170. As they have in common 20, the Jaccard index is 6.94% = 20 / (118 + 170).

References

This article shows the relationship between Distribution (mathematics) and Laplace transform. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »