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Bounded variation and Spectral theory of ordinary differential equations

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

Difference between Bounded variation and Spectral theory of ordinary differential equations

Bounded variation vs. Spectral theory of ordinary differential equations

In mathematical analysis, a function of bounded variation, also known as function, is a real-valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation.

Similarities between Bounded variation and Spectral theory of ordinary differential equations

Bounded variation and Spectral theory of ordinary differential equations have 19 things in common (in Unionpedia): Absolute value, Banach space, Cauchy sequence, Indicator function, Infimum and supremum, Interval (mathematics), Mathematics, Norm (mathematics), Ordinary differential equation, Partition of an interval, Probability measure, Riemann–Stieltjes integral, Riesz representation theorem, Semi-continuity, Spectral theory, Spectral theory of ordinary differential equations, Support (mathematics), Total variation, Uniform norm.

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

Absolute value and Bounded variation · Absolute value and Spectral theory of ordinary differential equations · See more »

Banach space

In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.

Banach space and Bounded variation · Banach space and Spectral theory of ordinary differential equations · See more »

Cauchy sequence

In mathematics, a Cauchy sequence, named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses.

Bounded variation and Cauchy sequence · Cauchy sequence and Spectral theory of ordinary differential equations · 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.

Bounded variation and Indicator function · Indicator function and Spectral theory of ordinary differential equations · See more »

Infimum and supremum

In mathematics, the infimum (abbreviated inf; plural infima) of a subset S of a partially ordered set T is the greatest element in T that is less than or equal to all elements of S, if such an element exists.

Bounded variation and Infimum and supremum · Infimum and supremum and Spectral theory of ordinary differential equations · See more »

Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

Bounded variation and Interval (mathematics) · Interval (mathematics) and Spectral theory of ordinary differential equations · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Bounded variation and Mathematics · Mathematics and Spectral theory of ordinary differential equations · See more »

Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

Bounded variation and Norm (mathematics) · Norm (mathematics) and Spectral theory of ordinary differential equations · See more »

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.

Bounded variation and Ordinary differential equation · Ordinary differential equation and Spectral theory of ordinary differential equations · See more »

Partition of an interval

In mathematics, a partition of an interval on the real line is a finite sequence of real numbers such that In other terms, a partition of a compact interval is a strictly increasing sequence of numbers (belonging to the interval itself) starting from the initial point of and arriving at the final point of.

Bounded variation and Partition of an interval · Partition of an interval and Spectral theory of ordinary differential equations · See more »

Probability measure

In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as countable additivity.

Bounded variation and Probability measure · Probability measure and Spectral theory of ordinary differential equations · See more »

Riemann–Stieltjes integral

In mathematics, the Riemann–Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes.

Bounded variation and Riemann–Stieltjes integral · Riemann–Stieltjes integral and Spectral theory of ordinary differential equations · See more »

Riesz representation theorem

There are several well-known theorems in functional analysis known as the Riesz representation theorem.

Bounded variation and Riesz representation theorem · Riesz representation theorem and Spectral theory of ordinary differential equations · See more »

Semi-continuity

In mathematical analysis, semi-continuity (or semicontinuity) is a property of extended real-valued functions that is weaker than continuity.

Bounded variation and Semi-continuity · Semi-continuity and Spectral theory of ordinary differential equations · See more »

Spectral theory

In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.

Bounded variation and Spectral theory · Spectral theory and Spectral theory of ordinary differential equations · See more »

Spectral theory of ordinary differential equations

In mathematics, the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation.

Bounded variation and Spectral theory of ordinary differential equations · Spectral theory of ordinary differential equations and Spectral theory of ordinary differential equations · See more »

Support (mathematics)

In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero.

Bounded variation and Support (mathematics) · Spectral theory of ordinary differential equations and Support (mathematics) · See more »

Total variation

In mathematics, the total variation identifies several slightly different concepts, related to the (local or global) structure of the codomain of a function or a measure.

Bounded variation and Total variation · Spectral theory of ordinary differential equations and Total variation · See more »

Uniform norm

In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions \ converges to f under the metric derived from the uniform norm if and only if f_n converges to f uniformly.

Bounded variation and Uniform norm · Spectral theory of ordinary differential equations and Uniform norm · See more »

The list above answers the following questions

Bounded variation and Spectral theory of ordinary differential equations Comparison

Bounded variation has 166 relations, while Spectral theory of ordinary differential equations has 116. As they have in common 19, the Jaccard index is 6.74% = 19 / (166 + 116).

References

This article shows the relationship between Bounded variation and Spectral theory of ordinary differential equations. To access each article from which the information was extracted, please visit:

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