Find link

language:

jump to random article

Find link is a tool written by Edward Betts.

searching for Constant of integration 46 found (104 total)

alternate case: constant of integration

Euler–Tricomi equation (423 words) [view diff] exact match in snippet view article find links to article

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 semicubical
Prandtl–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 on
Singularity 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 {\displaystyle
Grey 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 following
Matrix 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})={\frac
Arrhenius 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 the
Pfaffian 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 {\displaystyle
Jacobi 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 test
Physical 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 the
Schwarz–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. Hence
Chirp 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} and
Orbit (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 equation
Direct 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 either
Derivation 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 {\displaystyle
Rogowski 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 will
Ion 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 {\displaystyle
Thermodynamic 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 energy
Dirichlet 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 , {\displaystyle
Stefan–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 body
Kt/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 e
Euler'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 singularity
Action-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 undergoes
Liouville'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 not
Reduction 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 full
Membrane 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 general
Hodge 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 {\displaystyle
Van 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 of
Kepler 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 convention
Lagrangian 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 may
Ant 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 levels
Method 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 matching
Classical 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 F
Holonomic 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 every
Exact 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 {\displaystyle
Sound 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-weightings
Greenwood 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 curve
Sandwich 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 ( x
Classical 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 positive
Schwarzschild 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 {\textstyle
Maxwell 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