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Find link is a tool written by Edward Betts.searching for Constant of integration 46 found (104 total)
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Euler–Tricomi equation
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C , {\displaystyle y\pm {\frac {2}{3}}x^{3/2}=C,} where C is a constant of integration. The characteristics thus comprise two families of semicubicalPrandtl–Meyer function (297 words) [view diff] exact match in snippet view article find links to article
the ratio of the specific heat capacities. By convention, the constant of integration is selected such that ν ( 1 ) = 0. {\displaystyle \nu (1)=0.\,}Momentum map (2,215 words) [view diff] exact match in snippet view article find links to article
\rangle } . The momentum map is uniquely defined up to an additive constant of integration (on each connected component). An G {\displaystyle G} -action onSingularity function (835 words) [view diff] exact match in snippet view article find links to article
x-a\rangle ^{n}} can be done in a convenient way in which the constant of integration is automatically included so the result will be 0 at x = a. ∫ ⟨Specific angular momentum (1,312 words) [view diff] exact match in snippet view article find links to article
expression equal and integrating over time leads to (with the constant of integration C {\displaystyle \mathbf {C} } ) r ˙ × h = μ r r + C {\displaystyleGrey atmosphere (1,678 words) [view diff] exact match in snippet view article find links to article
{\displaystyle P={\frac {F}{c}}(\tau +C)} where C {\displaystyle C} is a constant of integration. We know from thermodynamics that for an isotropic gas the followingMatrix t-distribution (1,309 words) [view diff] exact match in snippet view article find links to article
{M} )^{\rm {T}}\right|^{-{\frac {\nu +n+p-1}{2}}},} where the constant of integration K is given by K = Γ p ( ν + n + p − 1 2 ) ( π ) n p 2 Γ p ( ν +Non-circular gear (731 words) [view diff] exact match in snippet view article find links to article
{dz_{1}}{z_{1}}}} where ln ( K ) {\displaystyle \ln(K)} is a constant of integration. Zarebski I., Salacinski T.: Designing of non-circular gears Laczik-Variance-stabilizing transformation (869 words) [view diff] exact match in snippet view article find links to article
^{x}{\frac {1}{\sqrt {h(\mu )}}}\,d\mu ,} where the arbitrary constant of integration and an arbitrary scaling factor can be chosen for convenience.All-pay auction (2,074 words) [view diff] exact match in snippet view article find links to article
= 0 {\displaystyle b(0)=0} . We can use this to show that the constant of integration is also 0. Thus, we get b ( v i ) = v i 2 2 {\displaystyle b(v_{i})={\fracArrhenius equation (2,793 words) [view diff] exact match in snippet view article find links to article
{\displaystyle A_{\text{b}}} is mathematically the exponential of the constant of integration for the respective indefinite integral in question. Taking thePfaffian constraint (653 words) [view diff] exact match in snippet view article find links to article
x{\text{d}}x+\int y{\text{d}}y=0=x^{2}+y^{2}+C} Where C is the constant of integration. And conventionally, we may write: x 2 + y 2 = L 2 {\displaystyleJacobi integral (770 words) [view diff] exact match in snippet view article find links to article
{x}}^{2}+{\dot {y}}^{2}+{\dot {z}}^{2}=2U-C_{J}} where CJ is the constant of integration. The left side represents the square of the velocity v of the testPhysical theories modified by general relativity (1,206 words) [view diff] exact match in snippet view article find links to article
(in Newtonian physics) is created by gravity is obtained when a constant of integration is set equal to 2MG/c2). For more information, see Deriving theSchwarz–Christoffel mapping (912 words) [view diff] exact match in snippet view article find links to article
z=f(\zeta )=C+K\operatorname {arcosh} \zeta ,} where C is a (complex) constant of integration. Requiring that f(−1) = Q and f(1) = P gives C = 0 and K = 1. HenceChirp mass (1,525 words) [view diff] exact match in snippet view article find links to article
Integrating equation (2) with respect to time gives: where C is the constant of integration. Furthermore, on identifying x ≡ t {\displaystyle x\equiv t} andOrbit (8,123 words) [view diff] exact match in snippet view article find links to article
Sun sweeps out equal areas during equal intervals of time). The constant of integration, h, is the angular momentum per unit mass. In order to get an equationDirect integration of a beam (850 words) [view diff] exact match in snippet view article find links to article
(x)=\int \theta (x)\,dx} Each time an integration is carried out, a constant of integration needs to be obtained. These constants are determined by using eitherDerivation of the Schwarzschild solution (3,716 words) [view diff] exact match in snippet view article find links to article
{\displaystyle B(r)=2GM/r+C} , where C {\displaystyle C} is an unknown constant of integration. C {\displaystyle C} can be determined by setting M = 0 {\displaystyleRogowski coil (1,516 words) [view diff] exact match in snippet view article find links to article
integrator will reduce the effects of offset voltages and set the constant of integration to zero. At high frequencies, the Rogowski coil's inductance willIon trap (2,685 words) [view diff] exact match in snippet view article find links to article
^{2}}}\sin(\Omega t)\!} , where r 0 {\displaystyle \mathbf {r} _{0}} is a constant of integration. Thus, the ion oscillates with angular frequency Ω {\displaystyleThermodynamic databases for pure substances (3,579 words) [view diff] exact match in snippet view article find links to article
-{\frac {1}{2}}})+1\textstyle {\frac {1}{2}}E(T^{2})+F'} F' is a constant of integration obtained by inserting S° at any temperature T. The Gibbs energyDirichlet integral (2,928 words) [view diff] exact match in snippet view article find links to article
{\frac {-ds}{s^{2}+1}}=A-\arctan s,} where A {\displaystyle A} is a constant of integration to be determined. Since lim s → ∞ f ( s ) = 0 , {\displaystyleStefan–Boltzmann law (5,475 words) [view diff] exact match in snippet view article find links to article
4 {\displaystyle u=AT^{4}} , with A {\displaystyle A} as some constant of integration. The law can be derived by considering a small flat black bodyKt/V (2,863 words) [view diff] exact match in snippet view article find links to article
V are constant) as follows: After integration, where c is the constant of integration If one takes the antilog of equation 2b the result is: where eEuler's Disk (2,962 words) [view diff] exact match in snippet view article find links to article
particular time t 0 {\displaystyle t_{0}} (which is mathematically a constant of integration), the viscous dissipation approaches infinity. The singularityAction-angle coordinates (1,519 words) [view diff] exact match in snippet view article find links to article
_{k}(\mathbf {J} )t+\beta _{k}} where β k {\displaystyle \beta _{k}} is a constant of integration. In particular, if the original generalized coordinate undergoesLiouville's theorem (differential algebra) (1,421 words) [view diff] exact match in snippet view article
simply the additive group of the constants (corresponding to the constant of integration). Thus, an antiderivative's differential Galois group does notReduction of order (1,610 words) [view diff] exact match in snippet view article find links to article
equation, v ′ ( t ) {\displaystyle v'(t)} is found, containing one constant of integration. Then, integrate v ′ ( t ) {\displaystyle v'(t)} to find the fullMembrane potential (8,286 words) [view diff] exact match in snippet view article find links to article
the voltage distribution. The definition allows for an arbitrary constant of integration—this is why absolute values of voltage are not meaningful. In generalHodge star operator (6,501 words) [view diff] exact match in snippet view article find links to article
\Lambda ^{k+1}(U)} is a differential form we are looking for, and "constant of integration" S x 0 ω {\displaystyle S_{x_{0}}\omega } vanishes unless ω {\displaystyleVan der Waals equation (13,418 words) [view diff] exact match in snippet view article find links to article
of a simple compressible substance, can be specified, up to a constant of integration, by two measurable functions. These are a mechanical equation ofKepler orbit (6,020 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\tfrac {ds}{d\theta }}.} Instead of using the constant of integration θ 0 {\displaystyle \theta _{0}} explicitly one introduces the conventionLagrangian mechanics (14,700 words) [view diff] exact match in snippet view article find links to article
constant. This is a valuable simplification, since the energy E is a constant of integration that counts as an arbitrary constant for the problem, and it mayAnt on a rubber rope (2,537 words) [view diff] exact match in snippet view article find links to article
{\alpha }{v}}\ln(c+vt)+\kappa } where κ {\displaystyle \kappa } is a constant of integration. Now, ϕ ( 0 ) = 0 {\displaystyle \phi (0)=0} which gives κ = −First law of thermodynamics (14,005 words) [view diff] exact match in snippet view article find links to article
uniquely defined. It is defined only up to an arbitrary additive constant of integration, which can be adjusted to give arbitrary reference zero levelsMethod of matched asymptotic expansions (3,217 words) [view diff] exact match in snippet view article find links to article
1 − e − t / ε ) {\textstyle B(1-e^{-t/\varepsilon })} and the constant of integration B {\displaystyle B} must be obtained from inner-outer matchingClassical central-force problem (8,207 words) [view diff] exact match in snippet view article find links to article
of variables to the inverse radius u = 1/r yields where C is a constant of integration and the function G(u) is defined by G ( u ) = − 2 m h 2 ∫ 1 u FHolonomic constraints (4,021 words) [view diff] exact match in snippet view article find links to article
{\displaystyle y\sin \theta +x\cos \theta +C=0} where C is the constant of integration. For a given Pfaffian constraint where every coefficient of everyExact differential equation (5,225 words) [view diff] exact match in snippet view article find links to article
The function h ( y ) {\displaystyle h(y)} plays the role of a constant of integration, but instead of just a constant, it is function of y {\displaystyleSound level meter (6,314 words) [view diff] exact match in snippet view article find links to article
a root-mean-square (RMS) circuit and thus it must have a time constant of integration; today referred to as the time-weighting. Three of these time-weightingsGreenwood function (1,009 words) [view diff] exact match in snippet view article find links to article
end of the cochlea to the region of interest. 0 < x < 1. K is a constant of integration that represents the divergence from the log nature of the curveSandwich theory (6,767 words) [view diff] exact match in snippet view article find links to article
x}}~\mathrm {d} z+C(x)} where C ( x ) {\displaystyle C(x)} is a constant of integration. Therefore, τ x z ( x , z ) = Q x D ∫ z E ( z ) d z + C ( xClassical orthogonal polynomials (6,139 words) [view diff] exact match in snippet view article find links to article
necessary so that Q(x) > 0 inside the interval.) Because of the constant of integration, the quantity R(x) is determined only up to an arbitrary positiveSchwarzschild geodesics (12,088 words) [view diff] exact match in snippet view article find links to article
the Jacobi elliptic functions) and δ {\textstyle \delta } is a constant of integration reflecting the initial position. The elliptic modulus k {\textstyleMaxwell construction (6,375 words) [view diff] exact match in snippet view article find links to article
v({\bar {p}},T)\,d{\bar {p}}} here g A {\displaystyle g_{A}} is a constant of integration, but the constant is different for each isotherm hence it is written