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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
Mathematical concept
z)}}} Then by integrating along the Hankel contour, the contour integral expression of the Gamma function has become Γ ( z ) = i 2 sin π z ∫ C e −
Hankel_contour
Rational number sequence
recursive equation, an explicit formula, a generating function, an integral expression. For the proof of the equivalence of the four approaches, see Ireland
Bernoulli_number
Special mathematical function
incomplete gamma function, but this integral fails for z on the positive real axis if Re(s) ≤ 0. This expression is found by writing 2s Lis(−z) / (−z)
Polylogarithm
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
Sort of mathematical expression
and the denominator is 1. An expression which is not in fractional form is an integral expression. An integral expression can always be written in fractional
Algebraic_fraction
Mathematical expression using basic operations
In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers), variables, and the basic algebraic operations:
Algebraic_expression
the most probable chain configuration. In accordance with the path integral expression for Q V ( R → N , N | R → 0 .0 ) {\displaystyle \textstyle Q_{V}({\vec
Path integrals in polymer science
Path_integrals_in_polymer_science
Mathematical formula involving a given set of operations
series, and integrals: given an object specified with such tools, a natural problem is to find, if possible, a closed-form expression of this object;
Closed-form_expression
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
Approximation of the definite integral of a function
n\\j\neq i\end{smallmatrix}}{\frac {x-x_{j}}{x_{i}-x_{j}}}dx} This integral expression for w i {\displaystyle w_{i}} can be expressed in terms of the orthogonal
Gaussian_quadrature
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
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
Mathematical theorem
algorithm describes how to apply the integral formulas. Input Integral expression Output Integral value or integral cannot be assigned a value Express the
Ramanujan's_master_theorem
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
closed-form expression for the perimeter of an ellipse. Throughout history, a large number of closed-form approximations and expressions in terms of integrals or
Perimeter_of_an_ellipse
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
Probability distribution
that are not closed-form expressions, including this one involving the gamma function, based on solving the integral expression substituting 1 for e − x
Gamma_distribution
Planet in the shape of a toroidal or doughnut shape
bifurcation sequences in detail and correct erroneous results. While an integral expression for gravitational potential of an idealized homogeneous circular
Toroidal_planet
Gradshteyn and Ryzhik, integrals originating from the book by Bierens de Haan are denoted by BI. Not all closed-form expressions have closed-form antiderivatives;
Lists_of_integrals
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
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
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
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
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
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
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
Branch of mathematics
differential calculus and integral calculus. Differential calculus studies instantaneous rates of change and slopes of curves; integral calculus studies accumulation
Calculus
Class of integrals appearing in quantum field theory
\}} . The expression is finite, but in general as Λ → ∞ {\displaystyle \Lambda \rightarrow \infty } , the expression diverges. The integral without a
Loop_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
Political movement in Brazil
Brazilian integralism (Portuguese: integralismo) was a political movement in Brazil, created in October 1932. Founded and led by Plínio Salgado, a literary
Brazilian_integralism
Expected value of a quantum measurement
used to derive the common, integral expression for the expected value (4), by inserting identities into the vector expression of expected value, then expanding
Expectation value (quantum mechanics)
Expectation_value_(quantum_mechanics)
Philosophical and spiritual question
successive generations in a progression of unguided evolution as an integral expression of nature, which is self-existing. Human knowledge comes from human
Meaning_of_life
Technique of integral evaluation
for another expression. In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, a radical expression is replaced
Trigonometric_substitution
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
Multivalued function in mathematics
M. (2012). "Bernstein, Pick, Poisson and related integral expressions for Lambert W" (PDF). Integral Transforms and Special Functions. 23 (11): 817–829
Lambert_W_function
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
Near-field diffraction
usually calculated numerically. The main problem for solving the integral is the expression of r. First, we can simplify the algebra by introducing the substitution
Fresnel_diffraction
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
Mathematical tool for calculating areas
1112/plms/s2-22.1.275, ISSN 0024-6115 Burkill, J. C. (1924b), "The expression of area as an integral", Proceedings of the London Mathematical Society, 22: 311–336
Burkill_integral
Solution to the Einstein field equations
{r_{\text{s}}}{r}}\right)^{-1}\,dr^{2}+r^{2}\,d\varphi ^{2},} yields an integral expression for w(r): w ( r ) = ∫ d r r r s − 1 = 2 r s r r s − 1 + constant
Schwarzschild_metric
Mathematical method in calculus
uv-\int v\,du.} The former expression is written as a definite integral and the latter is written as an indefinite integral. Applying the appropriate limits
Integration_by_parts
In mathematics, the definite integral ∫ a b f ( x ) d x {\displaystyle \int _{a}^{b}f(x)\,dx} is the area of the region in the xy-plane bounded by the
List_of_definite_integrals
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
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
Integration technique using recurrence relations
In integral calculus, integration by reduction formulae is a method relying on recurrence relations. It is used when an expression containing an integer
Integration by reduction formulae
Integration_by_reduction_formulae
Algebraic structure
follows immediately that, if K is an integral domain, then so is K[X]. It follows also that, if K is an integral domain, a polynomial is a unit (that
Polynomial_ring
Method for assigning values to integrals
improper integrals which would otherwise be undefined. In this method, a singularity on an integral interval is avoided by limiting the integral interval
Cauchy_principal_value
Relationship between derivatives and integrals
By taking the limit of the expression as the norm of the partitions approaches zero, we arrive at the Riemann integral. We know that this limit exists
Fundamental theorem of calculus
Fundamental_theorem_of_calculus
Antiderivative of the secant function
marine navigation with constant compass bearing. Three common expressions for the integral of the secant, ∫ sec θ d θ = 1 2 ln 1 + sin θ 1 − sin
Integral of the secant function
Integral_of_the_secant_function
Extension of the factorial function
last integral is smaller than ( x + 1 ) e − x {\displaystyle (x+1)e^{-x}} . By choosing a large enough x {\displaystyle x} , this last expression can
Gamma_function
Ceremony practiced by some Indigenous people in North America
extreme or exotic, Indigenous scholars and elders assert that they are integral expressions of Plains cosmology. The ascetic disciplines in the Sun Dance are
Sun_Dance
Statement on the gravitational attraction of spherical bodies
each band, and increasing the number of bands, the sum becomes an integral expression: F r = ∫ d F r {\displaystyle F_{r}=\int dF_{r}} Since G {\displaystyle
Shell_theorem
Patterns used in computer programming
glob() and globbing are standardized by the POSIX.2 specification and are integral part of every Unix-like libc ecosystem and shell, including AT&T Bourne
Glob_(programming)
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
∞ {\displaystyle t\rightarrow \infty } may be obtained from the integral expression, using methods such as the method of stationary phase or the method
Briggs–Bers_criterion
Partial differential equations
single-integral expressions for this Green's function. Examples of these can be seen to exist in rotational cylindrical coordinates as an integral Laplace
Green's function for the three-variable Laplace equation
Green's_function_for_the_three-variable_Laplace_equation
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
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
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
Concept in extremal graph theory
)}^{e(F)}=2^{-e(F)+1}} Thus, the conditions for common graph is met. Expand the integral expression for t ( K 3 , 1 − W ) {\displaystyle t(K_{3},1-W)} and take into
Common_graph
list of integrals of exponential functions. For a complete list of integral functions, please see the list of integrals. Indefinite integrals are antiderivative
List of integrals of exponential functions
List_of_integrals_of_exponential_functions
theorem (complex analysis) oscillatory integral An oscillatory integral can give a sense to a formal integral expression like δ 0 ( x ) = ∫ e 2 π i x ⋅ ξ d
Glossary of real and complex analysis
Glossary_of_real_and_complex_analysis
Model for thermodynamic phase transitions
discontinuities of the second partial derivatives. Evaluating the integral expression for g ( p , T ) {\displaystyle g(p,T)} given previously between the
Maxwell_construction
conditional expression is: logical-OR-expression ? expression : conditional-expression while in C++ it is: logical-OR-expression ? expression : assignment-expression
Operators_in_C_and_C++
Gauge fixing of electro magnetic potential
moving point charges). Lorenz derived the condition from postulated integral expressions for the potentials (nowadays known as retarded potentials); Lorentz
Lorenz_gauge_condition
Instantaneous rate of change (mathematics)
closer h {\displaystyle h} is to 0 {\displaystyle 0} , the closer this expression becomes to the value 2 a {\displaystyle 2a} . The limit exists, and
Derivative
{v\pi }{2}}\right)\cosh vt~dt\end{aligned}}} With the Mehler–Sonine integral expressions of J v ( z ) = 2 π ∫ 0 ∞ sin ( z cosh t − v π 2 ) cosh v t
Incomplete_Bessel_functions
Measures process correlation distance
particle is influenced by its previous position. The mathematical expressions for integral scales are: T = ∫ 0 ∞ ρ ( τ ) d τ {\displaystyle \mathrm {T} =\int
Integral_length_scale
Mathematical concept
for all x. Since the integrand is an integrable function of t, the integral expression is well-defined. It must be shown that the function from R + {\displaystyle
Characterizations of the exponential function
Characterizations_of_the_exponential_function
Music composed specifically to facilitate or accompany dancing
percussion instruments such as drums, bells, and rattles serve as integral expressions of cultural identity, social cohesion, and spiritual significance
Dance_music
of indefinite integrals (antiderivatives) of expressions involving the inverse trigonometric functions. For a complete list of integral formulas, see
List of integrals of inverse trigonometric functions
List_of_integrals_of_inverse_trigonometric_functions
Protein-coding gene in humans
protein serine/threonine kinase activity. The protein is predicted to be an integral part of the membrane. The ADCK2 gene is located on chromosome 7q34. The
ADCK2
exponential integral function, logarithmic integral function, offset logarithmic integral, binomial coefficient and others. Expression e = new Expression("sin(0)+ln(2)+log(3
MXparser
Protein found in humans
"Increased serum levels of MRP-8/14 in type 1 diabetes induce an increased expression of CD11b and an enhanced adhesion of circulating monocytes to fibronectin"
ABCC11
list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral formulas, see lists
List of integrals of inverse hyperbolic functions
List_of_integrals_of_inverse_hyperbolic_functions
Delays experienced through a linear time-invariant system
convolution can be evaluated by using the integral expression in the time domain, or (according to the rightmost expression) by using multiplication in the Laplace
Group_delay_and_phase_delay
Mathematical function
} Nonetheless, their improper integrals over the whole real line can be evaluated exactly, using the Gaussian integral ∫ − ∞ ∞ exp ( − x 2 ) d x = π
Gaussian_function
Protein-coding gene in humans
predicted to possess protein serine/threonine kinase activity and to be an integral component of the membrane. The ADCK5 gene is located on chromosome 8q24
ADCK5
\Omega }f(x)\log f(x)=-\int _{\Omega }f(x)\log f(x)\,d\nu (x).} The integral expression, and the general concept, are identical in the continuous case; the
Information theory and measure theory
Information_theory_and_measure_theory
Mathematical function of two positive real arguments
mean of x and y. If r ≥ 0 then M(rx, ry) = r M(x, y). There is an integral-form expression for M(x, y): M ( x , y ) = π 2 ( ∫ 0 π 2 d θ x 2 cos 2 θ + y
Arithmetic–geometric_mean
Mathematical constant in number theory
}(-1)^{k}{\mbox{Li}}_{2}\left({\frac {4}{k^{2}}}\right)\right].} There exist a number of integrals related to Khinchin's constant: ∫ 0 1 log 2 ⌊ x − 1 ⌋ x + 1 d x = ln
Khinchin's_constant
Transcendental single-variable function
definite integral, a trigonometric series, and various other forms. It is intimately connected with the polylogarithm, inverse tangent integral, polygamma
Clausen_function
Integral used in the theory of vibrations
)d\tau }} Substituting the expression of h(t-τ) into the above equation leads to the general expression of Duhamel's integral x ( t ) = 1 m ω d ∫ 0 t p
Duhamel's_integral
Greek physicist
environment by performing an iterative decomposition of Feynman’s path integral expression". Such simplifications make it possible to calculate outcomes that
Nancy_Makri
Concept in statistics
(\alpha -\beta )^{*}}\,d^{2}\beta ~d^{2}\lambda ,} an often divergent integral, indicating P is often a distribution. Q is always broader than P for the
Quasiprobability_distribution
Protein-coding gene in the species Homo sapiens
making constant expression unlikely. One example of this expression regulation comes from an experiment that showed increased SMCO4 expression in the presence
SMCO4
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
Protein-coding gene in the species Homo sapiens
MICA rather functions as a stress-induced ligand (as a danger signal) for integral membrane protein receptor NKG2D ("natural-killer group 2, member D"). MICA
MHC class I polypeptide–related sequence A
MHC_class_I_polypeptide–related_sequence_A
Mammalian protein found in Homo sapiens
human erythrocyte integral membrane protein band 7 is a protein that in humans is encoded by the STOM gene. Stomatin is a 31 kDa integral membrane protein
Stomatin
Enzyme in humans
Flessate D, et al. (July 1997). "Molecular cloning of seprase: a serine integral membrane protease from human melanoma". Biochimica et Biophysica Acta (BBA)
Fibroblast activation protein, alpha
Fibroblast_activation_protein,_alpha
State of matter of many bosons
potential. It is seen that Ec is a function of volume only. This integral expression for the grand potential evaluates to: Ω m = − Li α + 1 ( z ) ( β
Bose_gas
Protein-coding gene in the species Homo sapiens
MARCO binds ligands to activate the subsequent immune responses. MARCO expression on macrophages has been associated with tumor development and also with
MARCO
Mathematical functions
}(1+e^{it})^{z}(2+e^{it})^{n-1}e^{-int}dt} . There are several families of integrals with closed-form expressions in terms of zeta values where the coefficients of the Mittag-Leffler
Mittag-Leffler_polynomials
Freedom of expression and publication
indispensable for artistic expression and creativity, e.g. the freedoms of movement and association. "The State of Artistic Freedom" is an integral report published
Artistic_freedom
Set of four hypergeometric series
these functions are solutions, and found various reduction formulas and expressions of these series in terms of hypergeometric series of one variable. The
Appell_series
Protein-coding gene in the species Homo sapiens
1999 from the original name, Ten-a, and the major site of the protein expression being in the nervous system. Like the Ten-m family, Ten-m3 is a large
TENM3
Theorem about the constant term of certain Laurent polynomials
_{k}}|^{\beta }\,d\theta _{1}\cdots d\theta _{n}.} Dyson's integral is a special case of Selberg's integral after a change of variable and has value Γ ( 1 + β
Dyson_conjecture
Creative manifestation of the cultural identity of its author
cultural expressions. Traditional cultural expressions: can be considered as the forms of expression of the traditional culture; are an integral part of
Cultural_expressions
Branch of mathematical analysis
derivatives and integrals. Let f ( x ) {\displaystyle f(x)} be a function defined for x > 0 {\displaystyle x>0} . Form the definite integral from 0 to x {\displaystyle
Fractional_calculus
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
Surname or Lastname
English and French
English and French : nickname for a handsome man (perhaps also ironically for an ugly one), from Old French beu, bel ‘fair’, ‘lovely’ (Late Latin bellus).Hungarian (Bél) : from the old secular Hungarian name Bél, or alternatively from bél ‘internal part’, probably an occupational name for a servant who worked in the household.Czech (BÄ›l) from Czech bÃlý ‘white’.
Girl/Female
Tamil
Apinaya | அபிநாயா
Expressions in dance
Apinaya | அபிநாயா
Girl/Female
Indian
Expressions
Surname or Lastname
English (Norfolk)
English (Norfolk) : from Middle English gode ‘good’ + body ‘person’, ‘creature’, apparently a nickname for a good person. Reaney, however, notes that the expression was used as a polite term of address, and the surname may therefore have arisen as a nickname for someone who habitually used this expression.
Girl/Female
Indian
Expressions
Surname or Lastname
English, Scottish, Dutch, and German
English, Scottish, Dutch, and German : metonymic occupational name for a herring fisher or for a seller of the fish, Middle English hering, Dutch haring, Middle High German hærinc. In some cases it may have been a nickname in the sense of a trifle, something of little value, a meaning which is found in medieval phrases and proverbial expressions such as ‘to like neither herring nor barrel’, i.e. not to like something at all.German : habitational name from Herringen in Westphalia.Dutch : from a personal name, a derivative of a Germanic compound name with the first element hari, heri ‘army’.Jewish (Ashkenazic) : variant spelling of Hering.
Girl/Female
Indian
Cheerful expression
Surname or Lastname
Irish
Irish : reduced Anglicized form of either of two Gaelic names, Ó DuibhÃn ‘descendant of DuibhÃn’, a byname meaning ‘little black one’, or Ó DaimhÃn ‘descendant of DaimhÃn’, a byname meaning ‘fawn’, ‘little stag’. These are attenuated versions of Ó Dubháin and Ó Damháin, and are the phonetic origin of Anglicizations with an internal v (as opposed to w, as in Dewan, or monosyllabic forms with an o or u) (see Doane).English and French : nickname, of literal or ironic application, from Middle English, Old French devin, divin ‘excellent’, ‘perfect’ (Latin divinus ‘divine’).
Boy/Male
Indian
Internal Cleanliness
Girl/Female
Tamil
Cheerful expression
Surname or Lastname
English
English : probably a nickname from Middle English gode ‘good’ (Old English gÅd) + year, yere ‘year’, bestowed on someone who frequently used the expression, perhaps in the sense ‘(as I hope to have a) good year’ or as a New Year salutation. Alternatively, it may have been from an Americanized form of French Gauthier.English translation of German Gutjahr, originally a nickname for someone born on New year’s Day.The inventor of vulcanized rubber, Charles Goodyear (1800–60) was of the fourth generation descended from Stephen Goodyear (1598–1658), who succeeded Gov. Theophilus Eaton as leader of the company of London merchants that founded the New Haven colony in CT in 1638.
Girl/Female
Indian
Face, Warm expression
Boy/Male
Indian
Expression
Girl/Female
American, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Plucked Flower; Voice of Heart; Woman; Intellect; Behold of Any Beautiful Scene; Internal Beauty
Surname or Lastname
English
English : from the expression ‘God speed (you)’; a wish for success for one setting out on an enterprise, presumably applied as a nickname for someone who habitually used this expression.
Surname or Lastname
English
English : presumably a nickname for an habitual user of the expression ‘Go well’ (Old English gÄn ‘go’ + wel ‘well’), or possibly a nickname for a messenger.
Girl/Female
Tamil
Expression
Girl/Female
Arabic, Bengali, Gujarati, Hindu, Indian, Kannada, Marathi, Muslim, Punjabi, Sikh, Sindhi, Telugu
Heart; Inner Beauty; Fame; Internal Nature; Wisdom
Surname or Lastname
English
English : occupational name from Old French guyour ‘guide’ (see Guy 2).Americanized spelling of German Geyer.Swiss German : from a contraction of the expression gut Jahr (‘good year’) which as a greeting in rural Switzerland meant ‘I wish you a good harvest this year’.
Girl/Female
Indian
Abinaya means expressions
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
Boy/Male
Norse
From the rough hill.
Boy/Male
Greek
Strong gift.
Boy/Male
Hindu, Indian
Moonlight; Moonbeam
Boy/Male
Algerian, Indian, Iranian
Who has No Name
Girl/Female
Hebrew American English
Gift from God.
Male
French
French form of Greek Michaēl, MICHEL means "who is like God?"
Girl/Female
Indian
Happy
Boy/Male
Indian
Human
Female
French
French name BLANCHE means "white."Â
Girl/Female
Greek
Loved by God.
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
INTEGRAL EXPRESSION
a.
Essential to completeness; constituent, as a part; pertaining to, or serving to form, an integer; integrant.
a.
Of, pertaining to, or being, a whole number or undivided quantity; not fractional.
imp. & p. p.
of Integrate
a.
Internal.
p. pr. & vb. n.
of Integrate
a.
Pertaining to, or proceeding by, integration; as, the integral calculus.
n.
A brief space of time between the recurrence of similar conditions or states; as, the interval between paroxysms of pain; intervals of sanity or delirium.
n.
An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
n.
An interval.
a.
Lacking nothing of completeness; complete; perfect; uninjured; whole; entire.
a.
Making part of a whole; necessary to constitute an entire thing; integral.
n.
Space of time between any two points or events; as, the interval between the death of Charles I. of England, and the accession of Charles II.
a.
Inward; interior; being within any limit or surface; inclosed; -- opposed to external; as, the internal parts of a body, or of the earth.
adv.
In an integral manner; wholly; completely; also, by integration.
n.
A whole; an entire thing; a whole number; an individual.
v. t.
To subject to the operation of integration; to find the integral of.
a.
Derived from, or dependent on, the thing itself; inherent; as, the internal evidence of the divine origin of the Scriptures.
n.
A space between things; a void space intervening between any two objects; as, an interval between two houses or hills.
n.
Interval; intermission.
a.
Pertaining to its own affairs or interests; especially, (said of a country) domestic, as opposed to foreign; as, internal trade; internal troubles or war.