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Operation in mathematical calculus
integral is the continuous analog of a sum, and is used to calculate areas, volumes, and their generalizations. The process of computing an integral,
Integral
European space telescope for observing gamma rays
The INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) was a space telescope for observing gamma rays of energies up to 8 MeV. It was launched
INTEGRAL
Principle that the Catholic faith should be the basis of public law and policy
Integralism, integrationism or integrism (French: intégrisme) is an interpretation of Catholic social teaching that argues the principle that the Catholic
Integralism
Definition of mathematical integration
Khinchin integral (sometimes spelled Khintchine integral), also known as the Denjoy–Khinchin integral, generalized Denjoy integral or wide Denjoy integral, is
Khinchin_integral
Method of mathematical 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
Lebesgue_integral
Control loop feedback mechanism
A proportional–integral–derivative (PID) controller, or three-term controller, is a feedback-based control loop mechanism commonly used to manage machines
PID_controller
Definition of mathematical integration
mathematics, the Pfeffer integral is an integration technique created by Washek Pfeffer as an attempt to extend the Henstock–Kurzweil integral to a multidimensional
Pfeffer_integral
Kolmogorov integral (or Kolmogoroff integral) is a generalized integral introduced by Kolmogoroff (1930) including the Lebesgue–Stieltjes integral, the Burkill
Kolmogorov_integral
Branch of mathematics
differential calculus and integral calculus. Differential calculus studies instantaneous rates of change and slopes of curves; integral calculus studies accumulation
Calculus
Integration for Grassmann variables
In mathematical physics, the Berezin integral, named after Felix Berezin (also known as Grassmann integral, after Hermann Grassmann) is a way to define
Berezin_integral
Topics referred to by the same term
integral in Wiktionary, the free dictionary. Integral is a concept in calculus. Integral may also refer to: in mathematics Integer, a number Integral
Integral_(disambiguation)
Framework for integrating diverse theories
Integral theory as developed by Ken Wilber is a synthetic metatheory aiming to unify a broad spectrum of Western theories and models and Eastern meditative
Integral_theory
Mathematical tool for calculating areas
Burkill integral is an integral introduced by Burkill (1924a, 1924b) for calculating areas. It is a special case of the Kolmogorov integral. Burkill
Burkill_integral
integral or q-integral is a series in the theory of special functions that expresses the operation inverse to q-differentiation. The Jackson integral
Jackson_integral
Definite integral of a scalar or vector field along a path
mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear
Line_integral
In stochastic calculus, the Ogawa integral, also called the non-causal stochastic integral, is a stochastic integral for non-adapted processes as integrands
Ogawa_integral
Concept in mathematics
mathematics, the Bochner integral, named for Salomon Bochner, extends the definition of a multidimensional Lebesgue integral to functions that take values
Bochner_integral
mathematics, the Hellinger integral is an integral introduced by Hellinger (1909) that is a special case of the Kolmogorov integral. It is used to define the
Hellinger_integral
Integral using products instead of sums
A product integral is any product-based counterpart of the usual sum-based integral of calculus. The product integral was developed by the mathematician
Product_integral
Basic integral in elementary calculus
analysis, the Riemann integral is a rigorous definition of the integral of a function on an interval. It defines the integral by approximating the region
Riemann_integral
In mathematics, the Fredholm integral equation is an integral equation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and
Fredholm_integral_equation
Integral over a 3-D domain
calculus), a volume integral (∭) is an integral over a 3-dimensional domain; that is, it is a special case of multiple integrals. Volume integrals are especially
Volume_integral
Mathematical symbol used to denote integrals and antiderivatives
The integral symbol (see below) is used to denote integrals and antiderivatives in mathematics, especially in calculus. ∫ (Unicode), ∫ {\displaystyle
Integral_symbol
Topics referred to by the same term
Path integral may refer to: Line integral, the integral of a function along a curve Contour integral, the integral of a complex function along a curve
Path_integral
Special function defined by an integral
exponential integral Ei {\displaystyle \operatorname {Ei} } is a special function on the complex plane. It is defined as one particular definite integral of
Exponential_integral
Integral constructed using Darboux sums
the Darboux integral is constructed using Darboux sums and is one possible definition of the integral of a function. Darboux integrals are equivalent
Darboux_integral
Generalization of definite integrals to functions of multiple variables
calculus), a multiple integral is a definite integral of a function of several real variables, for instance, f(x, y) or f(x, y, z). Integrals of a function of
Multiple_integral
Generalization of the Riemann integral
Riemann–Stieltjes integral is a generalization of the Riemann integral, named after Bernhard Riemann and Thomas Joannes Stieltjes. The definition of this integral was
Riemann–Stieltjes_integral
Integration over a non-flat region in 3D space
calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the
Surface_integral
Special function defined by an integral
In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied
Elliptic_integral
Paley–Wiener integral is a simple stochastic integral. When applied to classical Wiener space, it is less general than the Itô integral, but the two agree
Paley–Wiener_integral
Formulation of quantum mechanics
The path-integral formulation of quantum mechanics generalizes the action principle of classical mechanics. It replaces the classical notion of a single
Path-integral_formulation
In mathematical representation theory, the Eisenstein integral is an integral introduced by Harish-Chandra in the representation theory of semisimple
Eisenstein_integral
Equations with an unknown function under an integral sign
analysis, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may
Integral_equation
Index of articles associated with the same name
In mathematics, there are two types of Euler integral: The Euler integral of the first kind is the beta function B ( z 1 , z 2 ) = ∫ 0 1 t z 1 − 1 ( 1
Euler_integral
Integration is the basic operation in integral calculus. While differentiation has straightforward rules by which the derivative of a complicated function
Lists_of_integrals
Yoga system of Sri Aurobindo
Integral Yoga (or Purna Yoga) is the spiritual philosophy and practice developed by Sri Aurobindo and The Mother (Mirra Alfassa). Central to this philosophy
Integral_yoga
Differentiation under the integral sign formula
Leibniz integral rule or the Leibniz rule for differentiation under the integral sign, named after Gottfried Wilhelm Leibniz, states that for an integral of
Leibniz_integral_rule
Generalization of the Riemann integral
Henstock–Kurzweil integral or generalized Riemann integral or gauge integral – also known as the (narrow) Denjoy integral (pronounced [dɑ̃ʒwa]), Luzin integral or Perron
Henstock–Kurzweil_integral
Operator that involves integration
the integral symbol Integral linear operators, which are linear operators induced by bilinear forms involving integrals Integral transforms, which are
Integral_operator
Private university in Lucknow, Uttar Pradesh, India
Integral University is a private university in Lucknow, the capital of Uttar Pradesh, India, It is located in the North-eastern part of the city in Dashauli
Integral_University
Special function defined by an integral
mathematics, trigonometric integrals are a family of nonelementary integrals involving trigonometric functions. The different sine integral definitions are Si
Trigonometric_integral
In mathematics, a Böhmer integral is an integral introduced by Böhmer (1939) generalizing the Fresnel integrals. There are two versions, given by C (
Böhmer_integral
Functions in harmonic analysis mathematics
In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly
Singular_integral
Commutative ring with no zero divisors other than zero
mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. In an integral domain, every
Integral_domain
Type of nationalism that originated in 19th century France
Integral nationalism (French: nationalisme intégral) is a type of nationalism that originated in 19th-century France, was theorized by Charles Maurras
Integral_nationalism
Integral of the Gaussian function, equal to sqrt(π)
The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}}
Gaussian_integral
Type of integration
mathematics, the Daniell integral is a type of integration that generalizes the concept of more elementary versions such as the Riemann integral to which students
Daniell_integral
Mathematical function
In mathematics, the Selberg integral is a generalization of Euler beta function to n dimensions introduced by Atle Selberg. It has applications in statistical
Selberg_integral
analysis, the Russo–Vallois integral is an extension to stochastic processes of the classical Riemann–Stieltjes integral ∫ f d g = ∫ f g ′ d s {\displaystyle
Russo–Vallois_integral
Concept in celestial mechanics
In celestial mechanics, Jacobi's integral (also known as the Jacobi integral or Jacobi constant) is the only known conserved quantity for the circular
Jacobi_integral
Special function defined by an integral
The Fresnel integrals S(x) and C(x), and their auxiliary functions F(x) and G(x) are transcendental functions named after Augustin-Jean Fresnel that are
Fresnel_integral
Generalization of the concept of a direct sum in mathematics
a direct integral or Hilbert integral is a generalization of the concept of a direct sum. The theory is most developed for direct integrals of Hilbert
Direct_integral
Integrals not expressible in closed-form from elementary functions
antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function. A theorem by Liouville in
Nonelementary_integral
Error condition in a proportional–integral–derivative controller
Integral windup, also known as integrator windup or reset windup, refers to the situation in a PID controller where a large change in setpoint occurs (say
Integral_windup
Extension of the factorial function
{\displaystyle n} . The gamma function can be defined via a convergent improper integral for complex numbers with positive real part: Γ ( z ) = ∫ 0 ∞ t z − 1 e
Gamma_function
Type of membrane protein that is permanently attached to the biological membrane
An integral, or intrinsic, membrane protein (IMP) is a type of membrane protein that is permanently attached to the biological membrane. All transmembrane
Integral_membrane_protein
Type of distribution in mathematical analysis
oscillatory integral is a type of distribution. Oscillatory integrals make rigorous many arguments that, on a naive level, appear to use divergent integrals. It
Oscillatory_integral
Operator equation in the style of Fredholm theory
In mathematics, the Volterra integral equations are a special type of integral equations, named after Vito Volterra. They are divided into two groups
Volterra_integral_equation
Topics referred to by the same term
The term integral logarithm may stand for: Discrete logarithm in algebra, Logarithmic integral function in calculus. This disambiguation page lists articles
Integral_logarithm
Approach emphasizing human and social dimensions
Integral ecology is a holistic approach to ecology, emphasizing human and social dimensions, and the interconnectedness of life on Earth. It studies the
Integral_ecology
Lighthouse in which the tower and keeper's dwelling are united in one structure
An integral lighthouse is a lighthouse in which the tower and keeper's dwelling are united in one structure. Generally, the term is not used to refer to
Integral_lighthouse
Pettis integral or Gelfand–Pettis integral, named after Israel M. Gelfand and Billy James Pettis, extends the definition of the Lebesgue integral to vector-valued
Pettis_integral
Integral used in physics
Stratonovich integral or Fisk–Stratonovich integral (developed simultaneously by Ruslan Stratonovich and Donald Fisk) is a stochastic integral, the most
Stratonovich_integral
Special function defined by an integral
In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It is relevant in problems of physics and has number
Logarithmic_integral_function
Calculation of strain energy release rate
The J-integral represents a way to calculate the strain energy release rate, or work (energy) per unit fracture surface area, in a material. The theoretical
J-integral
Class of canonical diffraction integrals
In mathematics, the Pearcey integral is defined as Pe ( x , y ) = ∫ − ∞ ∞ exp ( i ( t 4 + x t 2 + y t ) ) d t . {\displaystyle \operatorname {Pe} (x
Pearcey_integral
The Harish-Chandra integral is a concept from integral calculus that originated in the study of harmonic analysis on Lie groups. Closely related is the
Harish-Chandra_integral
Method of evaluating certain integrals along paths in the complex plane
complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study
Contour_integration
Mapping involving integration between function spaces
In mathematics, an integral transform is a type of transformation that maps a function from its original function space into another function space via
Integral_transform
In mathematics, the Skorokhod integral, also named Hitsuda–Skorokhod integral, often denoted δ {\displaystyle \delta } , is an operator of great importance
Skorokhod_integral
Class of integrals appearing in quantum field theory
In quantum field theory and statistical mechanics, loop integrals are the integrals which appear when evaluating the Feynman diagrams with one or more
Loop_integral
Integral expressing the amount of overlap of one function as it is shifted over another
{\displaystyle g} that produces a third function f ∗ g {\displaystyle f*g} , as the integral of the product of the two functions after one is reflected about the y-axis
Convolution
Topics referred to by the same term
integral, or just Denjoy integral, also known as Henstock–Kurzweil integral, the (more general) wide Denjoy integral, or Khinchin integral. This disambiguation
Denjoy_integral
Method to solve scalar wave equation
The Kirchhoff integral theorem (sometimes referred to as the Fresnel–Kirchhoff integral theorem) is a surface integral to obtain the value of the solution
Kirchhoff_integral_theorem
Sugeno integral, introduced by Michio Sugeno as a fuzzy integral in work on fuzzy measures at the Tokyo Institute of Technology, is a type of integral with
Sugeno_integral
Topics referred to by the same term
Beta integral may refer to: beta function Barnes beta integral This disambiguation page lists mathematics articles associated with the same title. If
Beta_integral
Instantaneous rate of change (mathematics)
way to define the basic concepts of calculus such as the derivative and integral in terms of infinitesimals, thereby giving a precise meaning to the d {\displaystyle
Derivative
The Sievert integral, named after Swedish medical physicist Rolf Sievert, is a special function commonly encountered in radiation transport calculations
Sievert_integral
In mathematics, the integral of a correspondence is a generalization of the integration of single-valued functions to correspondences (i.e., set-valued
Integral_of_a_correspondence
Conditions for switching order of integration in calculus
theorem gives the conditions under which a double integral can be computed as an iterated integral, i.e. by integrating in one variable at a time. Intuitively
Fubini's_theorem
Operation in mathematical calculus
astrophysics, the Strömgren integral, introduced by Bengt Strömgren (1932, p.123) while computing the Rosseland mean opacity, is the integral: 15 4 π 4 ∫ 0 x t
Strömgren_integral
The Kirchhoff–Helmholtz integral combines the Helmholtz equation with the Kirchhoff integral theorem to produce a method applicable to acoustics, seismology
Kirchhoff–Helmholtz_integral
Topics referred to by the same term
Integral expression may refer to: Integral equation More generally, a mathematical expression involving one or more integrals Integer polynomial An algebraic
Integral_expression
Political concept in Brazilian Integralism
The Integral state theory (Portuguese: Teoria do Estado integral) is a political concept developed by Plínio Salgado as an Integralist conception of the
Integral_state
Theorem in complex analysis
In mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard
Cauchy's_integral_theorem
Topics referred to by the same term
Integral theory may refer to: Integral theory (Ken Wilber), an attempt to place a wide diversity of theories and thinkers into one single framework Integral
Integral theory (disambiguation)
Integral_theory_(disambiguation)
measurements. Integral linearity is a measure of the device's deviation from ideal linear behaviour. The most common denotation of integral linearity is
Integral_linearity
Defunct American data storage company
Intégral Peripherals, Inc., or simply Intégral, was an American computer hardware company based in Boulder, Colorado, and active from 1990 to 1998. It
Intégral_Peripherals
Generalization of elliptic integrals
In mathematics, an abelian integral, named after the Norwegian mathematician Niels Henrik Abel, is an integral in the complex plane of the form ∫ z 0
Abelian_integral
In nonlinear optics, B-Integral is a measure of the nonlinear optics phase shift of light. It calculates the exponential growth of the least stable spatial
B_Integral
Christian teaching embracing both evangelism and social responsibility
Integral mission or holistic mission describes an understanding of Christian mission that embraces both evangelism and social responsibility. With origins
Integral_mission
Calculus on stochastic processes
disciplines). The Stratonovich integral can readily be expressed in terms of the Itô integral, and vice versa. Stochastic integrals do NOT obey the usual chain
Stochastic_calculus
Convex polytope whose vertices all have integer Cartesian coordinates
In geometry and polyhedral combinatorics, an integral polytope is a convex polytope whose vertices all have integer Cartesian coordinates. That is, it
Integral_polytope
Mathematical function
In mathematical analysis, an integral linear operator is a linear operator T given by integration; i.e., ( T f ) ( x ) = ∫ f ( y ) K ( x , y ) d y {\displaystyle
Integral_linear_operator
Integral of sin(x)/x from 0 to infinity
several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet, one of which is the improper integral of
Dirichlet_integral
Topics referred to by the same term
Integral Autonomy may refer to: Integral Autonomy (1980s), regionalist Italian political party (Autonomia Integrale, 1982–1988) Integral Autonomy (1990s)
Integral_Autonomy
Concept in mathematical analysis
improper integral is an extension of the notion of a definite integral to cases that violate the usual assumptions for that kind of integral. In the context
Improper_integral
Provides integral formulas for all derivatives of a holomorphic function
In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a
Cauchy's_integral_formula
Mathematical element
said to be integral over a subring A of B if b is a root of some monic polynomial over A. If A, B are fields, then the notions of "integral over" and of
Integral_element
INTEGRAL
INTEGRAL
INTEGRAL
INTEGRAL
Boy/Male
Latin
Worthy of praise; of value. Saint Anthony is the patron sain of poor people. Famous Bearer:...
Boy/Male
Tamil
Harshill | ஹரà¯à®·à¯€à®²à¯à®²
Joyful, Kings of the hills, Kind hearted a sweet
Boy/Male
Native American
Flying falcon.
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from a place in Lancashire named Brindle, from Old English burna ‘stream’ + hyll ‘hill’.Altered spelling of South German Brindl, Bründl, a topographic name for someone who lived by a spring or stream, from a diminutive of Middle High German brun(ne) ‘spring’, ‘stream’, or of Brendle or Brendel.
Boy/Male
Dutch
Sea man.
Boy/Male
Indian
One who prays times and fasts, Forever, Immortal
Boy/Male
American, British, English
From the Ancient Oak Tree
Girl/Female
Hindu
Culture, Mostly referring to the rich indian culture, Sanstriki
Boy/Male
Tamil
Basudeb | பாஸà¯à®¤à¯‡à®ª
Fire
Girl/Female
French, German, Hebrew, Swedish
Pledged to God; My God is a Vow
INTEGRAL
INTEGRAL
INTEGRAL
INTEGRAL
INTEGRAL
adv.
In an integral manner; wholly; completely; also, by integration.
n.
Entireness.
a.
Connected with, or becoming an integral part of, a living unit or of the morphological framework; as, morphotic, or tissue, proteids.
a.
Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; -- said especially of roots. See Surd.
n.
A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic.
n.
A variable quantity, considered as increasing or diminishing; -- called, in the modern calculus, the function or integral.
a.
The integral used in obtaining the area bounded by a curve; hence, the definite integral of the product of any function of one variable into the differential of that variable.
n.
The integral part (whether positive or negative) of a logarithm.
n.
The operation of finding the primitive function which has a given function for its differential coefficient. See Integral.
n.
An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
a.
Making part of a whole; necessary to constitute an entire thing; integral.
a.
Pertaining to, or proceeding by, integration; as, the integral calculus.
n.
A whole; an entire thing; a whole number; an individual.
n.
The decimal part of a logarithm, as distinguished from the integral part, or characteristic.
a.
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
a.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
v. t.
To subject to the operation of integration; to find the integral of.
n.
A method of analysis developed by Newton, and based on the conception of all magnitudes as generated by motion, and involving in their changes the notion of velocity or rate of change. Its results are the same as those of the differential and integral calculus, from which it differs little except in notation and logical method.
a.
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
a.
Complete; entire; not defective or imperfect; not broken or fractured; unimpaired; uninjured; integral; as, a whole orange; the egg is whole; the vessel is whole.