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Term in an algebraic expression which does not contain any variables
In mathematics, a constant term (sometimes referred to as a free term) is a term in an algebraic expression that does not contain any variables and therefore
Constant_term
Value representing energy density of space
the cosmological constant (usually denoted by the Greek capital letter lambda: Λ), alternatively called Einstein's cosmological constant, is a coefficient
Cosmological_constant
Multiplicative factor in a mathematical expression
{\displaystyle b} , and c {\displaystyle c} . A constant coefficient, also known as constant term or simply constant, is a quantity either implicitly attached
Coefficient
Physical constant for the strength of gravity induced by a mass
The gravitational constant is an empirical physical constant that gives the strength of the gravitational field induced by a mass. It is involved in the
Gravitational_constant
Orthogonal symmetric polynomial family
};q)_{\infty }}.} ⟨ f , g ⟩ = ( constant term of f g ¯ Δ ) / | W | {\displaystyle \langle f,g\rangle =({\text{constant term of }}f{\overline {g}}\Delta )/|W|}
Macdonald_polynomials
Function or value which does not change
generally, any polynomial term or expression of degree zero (no variable) is a constant. A constant may be used to define a constant function that ignores
Constant_(mathematics)
Constant expressing ambiguity from indefinite integrals
In calculus, the constant of integration, often denoted by C {\displaystyle C} (or c {\displaystyle c} ), is a constant term added to an antiderivative
Constant_of_integration
Relationships among bond yields of different maturities
time to maturity for a set of comparable debt securities. In practice the term usually refers to curves built from a single issuer or market segment so
Yield_curve
Rules for computing derivatives of functions
R {\textstyle c\in \mathbb {R} } , if f ( x ) {\textstyle f(x)} is the constant function given by f ( x ) = c {\textstyle f(x)=c} , then d f d x = 0 {\textstyle
Differentiation_rules
Theorem about the constant term of certain Laurent polynomials
the Dyson conjecture (Freeman Dyson 1962) is a conjecture about the constant term of certain Laurent polynomials, proved independently in 1962 by Wilson
Dyson_conjecture
Physical constant in quantum mechanics
The Planck constant, or Planck's constant, denoted by h {\displaystyle h} , is a fundamental physical constant of foundational importance in quantum mechanics:
Planck_constant
Universal and unchanging physical quantity
dimensionless. The term "fundamental physical constant" is sometimes used to refer to universal-but-dimensioned physical constants such as those mentioned
Physical_constant
Relationship between the rational roots of a polynomial and its extreme coefficients
and q are relatively prime), satisfies: p is an integer factor of the constant term a0, and q is an integer factor of the leading coefficient an. The rational
Rational_root_theorem
Differential equation that is linear with respect to the unknown function
the constant term by the zero function is the associated homogeneous equation. A differential equation has constant coefficients if only constant functions
Linear_differential_equation
Physical constant relating particle kinetic energy with temperature
The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic
Boltzmann_constant
Type of mathematical expression
are called, respectively, a constant term and a constant polynomial. The degree of a constant term and of a nonzero constant polynomial is 0 {\displaystyle
Polynomial
Topics referred to by the same term
constant in Wiktionary, the free dictionary. Constant or The Constant may refer to: Constant (mathematics), a non-varying value Mathematical constant
Constant
Infinite sum that is considered independently from any notion of convergence
B=b_{0}+b_{1}x+\cdots } then the constant term a 0 b 0 {\displaystyle a_{0}b_{0}} of A ⋅ B {\displaystyle A\cdot B} is the constant term of the identity series
Formal_power_series
Integral domain in which the sum of two principal ideals is again a principal ideal
polynomial p in aS + bS with constant term d. Then p − d has a zero constant term, and so is a multiple in S of the constant polynomial r, and therefore
Bézout_domain
Numeric stand-ins in regression analysis
or periods in a pooled time-series. In such regressions, either the constant term or one of the dummies has to be removed making this the base category
Dummy_variable_(statistics)
Type of ordinary differential equation
solution of the homogeneous equation obtained by removing the constant term. The term homogeneous was first applied to differential equations by Johann
Homogeneous differential equation
Homogeneous_differential_equation
Divergent series
smoothed sum is asymptotic to −+1/12 + CN2, where C is a constant that depends on f. The constant term of the asymptotic expansion does not depend on f: it
1_+_2_+_3_+_4_+_⋯
Method for solving quadratic equations
perfect square, the coefficient of x is twice the number p, and the constant term is equal to p2. Consider the following quadratic polynomial: x 2 + 10
Completing_the_square
(Mathematical) ring with a unique maximal ideal
are not invertible. In other words, it consists of all elements with constant term zero. More generally, every ring of formal power series over a local
Local_ring
Method for model fitting in statistics
residual values is equal to zero whenever the model function contains a constant term. Left-multiply the expression for the residuals by XT WT: X T W r ^
Weighted_least_squares
Difference between logarithm and harmonic series
{\displaystyle \log _{e}(x)} . Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase
Euler's_constant
2.71828...; base of natural logarithms
with Euler's constant, a different constant typically denoted γ {\displaystyle \gamma } . Alternatively, e can be called Napier's constant after John Napier
E_(mathematical_constant)
Unique positive real number which when multiplied by itself gives 2
a polynomial, if it exists, must be the quotient of a factor of the constant term and a factor of the leading coefficient. In the case of p ( x ) = x
Square_root_of_2
Sufficient condition for polynomial irreducibility
applying a shift, is reversing the order of its coefficients, provided its constant term is nonzero (without which it would be divisible by x anyway). This is
Eisenstein's_criterion
Physical constant with no units
fine-structure constant, α, which has an approximate value of 1/137.036. It has been argued the term fundamental physical constant should be restricted
Dimensionless physical constant
Dimensionless_physical_constant
The term crude oil constant (Erdölkonstante in German) has been used as an inside joke and pun in the German petroleum industry, pointing out that the
Oil_constant
Mathematical relation defining a sequence
equation it is convenient to convert it to homogeneous form, with no constant term. This is done by first finding the equation's steady state value—a value
Linear recurrence with constant coefficients
Linear_recurrence_with_constant_coefficients
Class of mathematical root-finding algorithm
f(a) = 0. Then f has a Taylor series at a and its constant term is zero. Because this constant term is zero, the function f(x) / (x − a) will have a Taylor
Householder's_method
Formula that provides the solutions to a quadratic equation
because a {\displaystyle a} is non-zero. Afterwards, we subtract the constant term c / a {\displaystyle c/a} to isolate it on the right-hand side:
Quadratic_formula
Equations in physical cosmology
equations, R, ρ, and p are functions of time. If the cosmological constant, Λ, is ignored, the term − k / R 2 {\displaystyle -k/R^{2}} in the first Friedmann
Friedmann_equations
Complex number that solves a monic polynomial with integer coefficients
integer. It satisfies the polynomial x2 − x + 1/4(1 − d) where the constant term 1/4(1 − d) is an integer. The full ring of integers is generated by
Algebraic_integer
Experimental designs for response surface methodology
for each of which the model will have a different constant term, in such a way that the block constants will be uncorrelated with the other coefficients
Box–Behnken_design
Natural number
twelfth triangular number 78. Meanwhile, their sum is 41, which is the constant term in Euler's lucky numbers that yield prime numbers of the form k2 − k
37_(number)
Inverse of a finite difference
can be an arbitrary constant other than those listed here, as it is absorbed into the height of the 1-periodic or constant term C {\displaystyle C}
Indefinite_sum
Constant e raised to the power of pi
In mathematics, the exponential of pi eπ, also called Gelfond's constant, is the real number e raised to the power π (i.e., the value of the exponential
Gelfond's_constant
Fixed number that has received a name
A mathematical constant is a number whose value is fixed by an unambiguous definition, often referred to by a special symbol (e.g., an alphabet letter)
Mathematical_constant
Energy driving the accelerated expansion of the universe
§ Alternatives to dark energy). The "cosmological constant" is the simplest candidate for dark energy. It is a constant term that can be added to the Einstein field
Dark_energy
Method for estimating the unknown parameters in a linear regression model
i} -th observations on all the explanatory variables. Typically, a constant term is included in the set of regressors X {\displaystyle \mathbf {X} }
Ordinary_least_squares
Einstein field equation solution
Einstein field equation in which the only term in the stress–energy tensor is a cosmological constant term. This can be interpreted physically as a kind
Lambdavacuum_solution
Conversion constant for amount of substance
In chemistry, the Avogadro constant, commonly denoted NA, is a conversion constant or ratio between an amount of substance and the number of particles
Avogadro_constant
Theorem on prime numbers
g(x)=(x-1)(x-2)\cdots (x-(p-1)).} g has degree p − 1, leading term xp − 1, and constant term (p − 1)!. Its p − 1 roots are 1, 2, ..., p − 1. Now consider
Wilson's_theorem
Chemical property
Stability constants, formation constants, binding constants, association constants and dissociation constants are all types of equilibrium constants. For a
Equilibrium_constant
associated to an affine Weyl group, and can be used to prove Macdonald's constant term conjecture for Macdonald polynomials. Let V {\displaystyle V} be a Euclidean
Affine_Hecke_algebra
Theorem of gravity in cosmology
\Lambda } are constants. The first term is the familiar law of universal gravitation, the second one corresponds to the cosmological constant term in general
Gurzadyan_theorem
Representation of a type of random process
ε t {\displaystyle \varphi (B)X_{t}=\varepsilon _{t}\,} (where the constant term has been suppressed by assuming that the variable has been measured
Autoregressive_model
Ratio of polynomial functions
Taylor series, we can compute as follows. Since the constant term on the left must equal the constant term on the right it follows that a 0 = 1 2 . {\displaystyle
Rational_function
Theorem about prime numbers
{\displaystyle P_{1},\ldots ,P_{k}} in one unknown m {\displaystyle m} all with constant term 0, there are infinitely many integers x , m {\displaystyle x,m} such
Green–Tao_theorem
Polynomial zeros related to linear factors
{\displaystyle f} from its leading coefficient a n {\displaystyle a_{n}} and constant term a 0 {\displaystyle a_{0}} . (See Rational root theorem.) Use the factor
Factor_theorem
Lorentzian manifold with vanishing Einstein tensor
the lambdavacuum solutions, where the only term in the stress–energy tensor is the cosmological constant term (and thus, the lambdavacuums can be taken
Vacuum_solution
Natural number
modular function is T 2 A ( τ ) {\displaystyle T_{2A}(\tau )} , with constant term a ( 0 ) = 104 {\displaystyle a(0)=104} : j 2 A ( τ ) = T 2 A ( τ ) +
104_(number)
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or
List of mathematical constants
List_of_mathematical_constants
Point in function graphs
slope-intercept form as f ( x ) = a + b x {\displaystyle f(x)=a+bx} , the constant term a {\displaystyle a} is the y {\displaystyle y} -coordinate of the y
Y-intercept
Matrix whose entries are the coefficients of a linear equation
different system solutions. A first-order matrix difference equation with constant term can be written as y t + 1 = A y t + c , {\displaystyle \mathbf {y} _{t+1}=A\mathbf
Coefficient_matrix
Transcendental number(s) with all positive integers in order
In mathematics, the Champernowne constant C10 is a transcendental real constant whose decimal expansion has important properties. It is named after economist
Champernowne_constant
Indicator for how well data points fit a line or curve
SS_{\text{tot}}} term acts to normalize the value. If the yi values are all multiplied by a constant, the norm of residuals will also change by that constant but R2
Coefficient_of_determination
Mathematical theorem about the real analytic Eisenstein series
In mathematics, the classical Kronecker limit formula describes the constant term at s = 1 of a real analytic Eisenstein series (or Epstein zeta function)
Kronecker_limit_formula
Characterization of how many integers are prime
but varying the lowest-order constant term. Bk(x; C) is the same function as above, but with the lowest-order constant term replaced by a parameter C: p
Prime_number_theorem
Constant of proportionality of prime number density
any estimate of the involved error term). Being evaluated to such a simple number has made the term Legendre's constant mostly only of historical value,
Legendre's_constant
Measure of change in amplitude and phase of a wave
the propagation constant being a complex number, the imaginary part being caused by the phase change. The term "propagation constant" is somewhat of a
Propagation_constant
Swiss luxury watch manufacturer
within the Frederique Constant group: Ateliers deMonaco. In 2016, Peter and Aletta Stas secured the Frederique Constant Group’s long-term future by accepting
Frédérique_Constant
Sum of the inverses of the positive cubes
Apéry's constant is a mathematical constant, defined as the infinite sum of the reciprocals of the cubes of the positive integers. In symbols, ζ ( 3 )
Apéry's_constant
Two circular coil device which creates a homogeneous magnetic field
guarantee that the order x 2 {\displaystyle x^{2}} term is also zero, and hence the leading non-constant term is of order x 4 {\displaystyle x^{4}} . The inflection
Helmholtz_coil
Symbol representing a mathematical object
status of x and the constant status of a, b and c. Since c occurs in a term that is a constant function of x, it is called the constant term. Specific branches
Variable_(mathematics)
Statistical technique
Logistic regression can account for stratification by having a different constant term for each stratum. Let us denote Y i ℓ ∈ { 0 , 1 } {\displaystyle Y_{i\ell
Conditional logistic regression
Conditional_logistic_regression
Physical theory of the cosmos
Dark energy in its simplest formulation is modeled by a cosmological constant term in Einstein field equations of general relativity, but its composition
Big_Bang
Algebraic structure
special case of the multiplication where p = p0 is reduced to its constant term (the term that is independent of X); that is p 0 ( q 0 + q 1 X + ⋯ + q n
Polynomial_ring
Integral polynomial
polynomials exceeds the storage capacity of computers. If y ≤ w then Py,w has constant term 1. If y ≤ w and ℓ(w) − ℓ(y) ∈ {0, 1, 2} then Py,w = 1. If w = w0 is
Kazhdan–Lusztig_polynomial
Natural number
Monstrous moonshine, can be written as a Fourier series in which the constant term is 744: j ( τ ) = q − 1 + 744 + 196 884 q + 21 493 760 q 2 + 864 299
744_(number)
the Laplace–Beltrami operator which has Fourier expansion with zero constant term.) The zeta-function also has a zero at every pole of the determinant
Selberg_zeta_function
Differential equation exhibiting high rate of dissipation
trace has a constant term, κ 2 {\displaystyle \kappa ^{2}} , which represents the contribution from the linear part of the system. As this term is positive
Stiff_equation
Constant in crystallography
first term of a general Taylor series describing the interaction between two charge distributions of arbitrary shape. Accordingly, the Madelung constant only
Madelung_constant
Dimensionless number that quantifies the strength of the electromagnetic interaction
fine-structure constant, also known as the Sommerfeld constant, commonly denoted by α (the Greek letter alpha), is a fundamental physical constant that quantifies
Fine-structure_constant
Constant used in a magic square
rational tetrahedral numbers which are also magic constants of rational order. The term magic constant or magic sum is similarly applied to other "magic"
Magic_constant
exponential map from G to the group of the formal power series in R[[t]] with constant term 1. In other words the functor Exp from abelian groups to commutative
Exp_algebra
Unsolved problem in computer science
A solution of O ( N 2 ) {\displaystyle O(N^{2})} with a reasonable constant term would be disastrous. On the other hand, a solution that is Ω ( N 4 )
P_versus_NP_problem
Observation in physical cosmology
varies with time, so the term constant is sometimes thought of as somewhat of a misnomer. The units of the Hubble constant are km/s/Mpc, which gives
Hubble's_law
Branch of mathematics
{\displaystyle x^{4}+3xy^{2}+5x^{3}-1} . Each term is either a constant, a variable, or a product of a constant and variables. Each variable can be raised
Algebra
Regularization technique for ill-posed problems
{x} -\mathbf {x} _{0}\right\|_{Q}^{2}} or, equivalently up to a constant term, x T ( A + Q ) x − 2 x T ( b + Q x 0 ) . {\displaystyle \mathbf {x}
Ridge_regression
Capitalization rate for debt; ratio of annual debt service to mortgage principal
covering both interest and principal amortization — over the loan term. The mortgage constant is commonly denoted Rm and is used in real estate appraisal and
Mortgage_constant
Figure of merit for amplifiers
that the error in this case is only about 2%, for the constant term, and using the second term, ( 1 − ω c 2 2 ω 2 ) {\displaystyle \left(1-{\frac {\omega
Gain–bandwidth_product
Economic model of price determination in a market
determinant of supply is caused by a change in the y-intercept, the constant term of the supply equation. The supply curve shifts up and down the y axis
Supply_and_demand
Systematic procedure of turning a classical theory into a quantum one
angular momentum squared operator, but it further contains a constant term 3ħ2/2. (This extra term offset is pedagogically significant, since it accounts
Quantization_(physics)
Chemical and physical constant of materials
the procedure called ebullioscopy, a known constant can be used to calculate an unknown molar mass. The term ebullioscopy means "boiling measurement" in
Ebullioscopic_constant
Optimization method
resembles the recurrence for binary search but has a larger S(n) term than the constant term of binary search. In prune and search algorithms S(n) is typically
Prune_and_search
Number of particle in a given volume of an ideal gas
physical size of molecules in 1865. The term Loschmidt constant is also sometimes used to refer to the Avogadro constant, particularly in German texts. By ideal
Loschmidt_constant
Parameter describing the strength of a force
In physics, a coupling constant or gauge coupling parameter (or, more simply, a coupling) is a number that determines the strength of the force exerted
Coupling_constant
Elements taken to zero by a homomorphism
sends each polynomial to its constant term. It maps a polynomial to zero if and only if said polynomial's constant term is 0. Polynomials with real coefficients
Kernel_(algebra)
Statistical measure of the discrepancy between data and an estimation model
{\displaystyle {\widehat {\alpha \,}}} is the estimated value of the constant term α {\displaystyle \alpha } and β ^ {\displaystyle {\widehat {\beta \
Residual_sum_of_squares
Indefinite integral
constant. The constant is the initial velocity term that would be lost upon taking the derivative of velocity, because the derivative of a constant term
Antiderivative
Polynomial whose roots are the eigenvalues of a matrix
polynomial (interpreting the resulting powers as matrix powers, and the constant term c {\displaystyle c} as c {\displaystyle c} times the identity matrix)
Characteristic_polynomial
Algebraic structure
only defined if the series g being substituted has zero constant term (if not, the constant term of the result would be given by an infinite series with
Composition_ring
Absolute dielectric permittivity of free space
use "electric constant" as a term for this quantity. Another historical synonym was "dielectric constant of vacuum", as "dielectric constant" was sometimes
Vacuum_permittivity
Belgian scientist and Catholic priest (1894–1966)
general form of the Einstein field equations included a cosmological constant term. The jury awarded Lemaître a prize of 8,000 Belgian francs. Cardinal
Georges_Lemaître
Generates a forecast of future values of a time series
autoregressive integrated moving average (ARIMA) (0,1,1) model with no constant term. The time constant of an exponential moving average is the amount of time for
Exponential_smoothing
+ pn(x). The constant term of P(x) is in fact the sum of all the votes, because the constant term of P(x) is the sum of the constant terms of the individual
Homomorphic_secret_sharing
CONSTANT TERM
CONSTANT TERM
Surname or Lastname
English and French
English and French : from the medieval female personal name Constance, Latin Constantia, originally a feminine form of Constantius (see Constant), but later taken as the abstract noun constantia ‘steadfastness’.English and French : habitational name from Coutances in La Manche, France, which was named Constantia in Latin (see above) in honor of the Roman emperor Constantius Chlorus, who was responsible for fortifying the settlement in ad 305.
Girl/Female
Australian, German, Latin, Spanish, Swedish
Constancy; Steadfastness
Boy/Male
Tamil
Constant
Boy/Male
Australian, British, Danish, English, French, German, Italian, Latin, Swedish, Swiss
Steadfast; Constant
Boy/Male
English Latin
Steady; stable.
Boy/Male
Tamil
Nityagopal | நிதà¯à®¯à®•à¯‹à®ªà®¾à®²Â
Constant
Nityagopal | நிதà¯à®¯à®•à¯‹à®ªà®¾à®²Â
Girl/Female
Australian, French, German, Latin, Spanish
Constancy; Steadfastness
Boy/Male
Latin English
Constant.
Girl/Female
Spanish Italian
Constant.
Female
English
English form of Latin Constantia, CONSTANCE means "steadfast."Â
Male
French
French and Romanian form of Latin Constantinus, CONSTANTIN means "steadfast."Â
Boy/Male
Latin
Constant.
Girl/Female
Latin American English French Shakespearean
Firm of purpose. Constancy, from the Latin Constantia.
Girl/Female
British, English
Similar to Constance; Used by 16th and 17th Century Puritans
Girl/Female
American, Australian, British, Christian, Dutch, English, French, German, Latin, Portuguese, Shakespearean, Swedish
Constancy; Steadfastness
Surname or Lastname
French and English
French and English : from a medieval personal name (Latin Constans, genitive Constantis, meaning ‘steadfast’, ‘faithful’, present participle of the verb constare ‘stand fast’, ‘be consistent’). This was borne by an 8th-century Irish martyr. This surname has also absorbed some cases of surnames based on Constantius, a derivative of Constans, borne by a 2nd-century martyr, bishop of Perugia. Compare Constantine.English : perhaps also a nickname from Old French constant ‘steadfast’, ‘faithful’.
Female
Spanish
Spanish form of Latin Constantia, CONSTANZA means "steadfast."
Girl/Female
Latin English
Firm of purpose. Constancy, from the Latin Constantia.
Female
Romanian
Romanian form of Latin Constantia, CONSTANTA means "steadfast."
Male
Polish
Polish form of Latin Constans, KONSTANTY means "steadfast."
CONSTANT TERM
CONSTANT TERM
Boy/Male
Hindu
Young jewel
Girl/Female
Muslim/Islamic
Intelligent
Surname or Lastname
English
English : metonymic occupational name for a wire drawer, from Middle English wīr ‘wire’.English : topographic name for someone who lived where bog myrtle grew, Old English wīr.English : habitational name from Wyre Forest in Hereford, Worcestershire, and Shropshire, probably named from a Celtic river name meaning ‘winding river’.
Girl/Female
Sanskrit
Of the moon.
Boy/Male
Hindu
Boy/Male
Muslim
Narrator, Speaker
Boy/Male
Hindu, Indian, Punjabi, Sikh
Liberated by Taking Shelter of Guru
Boy/Male
Hindu
Full of strength
Surname or Lastname
English
English : patronymic from an Old Swedish personal name, Sture.English : topographic name for someone who lived by the Stour river in Essex.
Boy/Male
Arabic, Muslim
Preacher; Advisor
CONSTANT TERM
CONSTANT TERM
CONSTANT TERM
CONSTANT TERM
CONSTANT TERM
a.
A day of the present or current month; as, the sixth instant; -- an elliptical expression equivalent to the sixth of the month instant, i. e., the current month. See Instant, a., 3.
n.
A superior wine, white and red, from Constantia, in Cape Colony.
v. t.
Consistent; logical.
n.
An invariable quantity; a constant.
adv.
With constancy; steadily; continually; perseveringly; without cessation; uniformly.
a.
harmonizing together; accordant; as, consonant tones, consonant chords.
a.
Not constant; not stable or uniform; subject to change of character, appearance, opinion, inclination, or purpose, etc.; not firm; unsteady; fickle; changeable; variable; -- said of persons or things; as, inconstant in love or friendship.
n.
The state or quality of being constant or steadfast; freedom from change; stability; fixedness; immutability; as, the constancy of God in his nature and attributes.
n.
A constant irritating desire.
n.
An expression of assent to a bill or motion; an affirmative vote; also, a member who votes "Content.".
v. t.
Firm; solid; fixed; immovable; -- opposed to fluid.
a.
Continued without intermission; perpetual; ceaseless; constant.
adv.
Constant; continual.
a.
Not constant; inconstant; fickle; changeable.
n.
That which is not subject to change; that which is invariable.
v. t.
Remaining unchanged or invariable, as a quantity, force, law, etc.
n.
The quality or state of being inconstant; want of constancy; mutability; fickleness; variableness.
n.
A quantity that does not change its value; -- used in countradistinction to variable.
v. t.
Not liable, or given, to change; permanent; regular; continuous; continually recurring; steadfast; faithful; not fickle.
a.
Resolute; persevering; constant; steady.