weight function वाक्य
उदाहरण वाक्य
मोबाइल
- It has been proved by J . Cousty et al . that when the markers of the IFT corresponds to extrema of the weight function, the cut induced by the forest is a watershed cut.
- The infinities are not well-defined; but the finite values can be associated with the functions used as the weight functions to get the finite values, and that can be well-defined.
- However, it is well known that, in specific parameter ranges of the model under consideration, the oscillatory nature of the weight function can lead to a bad statistical convergence of the numerical integration procedure.
- For \ alpha = \ beta = 0, these are called the Legendre polynomials ( for which the interval of orthogonality is [ & minus; 1, 1 ] and the weight function is simply 1 ):
- The GJMS operator also represents the obstruction term to a formal asymptotic solution of the Cauchy problem for extending a weight function off the null cone in the ambient space to a harmonic function in the full ambient space.
- Many authors, particularly probabilists, use an alternate definition of the Hermite polynomials, with a weight function of e ^ {-x ^ 2 / 2 } instead of e ^ {-x ^ 2 }.
- Baxter's theorem states that the Verblunsky coefficients form an absolutely convergent series if and only if the moments of ? form an absolutely convergent series and the weight function " w " is strictly positive everywhere.
- If \ scriptstyle b ( k ) : \ mathbb { N } \ rightarrow \ mathbb { R } is a weight function that depends only on the size " k " of the cycle and for brevity we write
- The pole in the ( \ phi, V \ psi ^ { \ pm } ) from the Lippmann Schwinger equation reflects the time-uncertainty of the interaction, while that in the wavepackets weight function reflects the duration of the interaction.
- Another case where weight functions are especially useful is if the integrand is unknown but has a known singularity of some form, e . g . a known discontinuity or integrable divergence ( such as 1 / " " x " ) at some point.
- The basic reason is that, since w ( x ) can be taken into account " a priori ", the integration error can be made to depend only on the accuracy in approximating f ( x ), regardless of how badly behaved the weight function might be.
- An associated issue is the fact that the ratio \ sigma ^ 2 _ { MC } / \ sigma ^ 2 _ { IS } \, overestimates the run-time savings due to importance sampling since it does not include the extra computing time required to compute the weight function.
- The functions \ xi _ { + + ~ } and \ xi _ { \ times \ times } can be related to projections ( integrals with certain weight functions ) of the dark matter density correlation function, which can be predicted from theory for a cosmological model through its Fourier transform, the matter power spectrum.
- For example, special methods have been developed to apply Clenshaw Curtis quadrature to integrands of the form f ( x ) w ( x ) with a weight function w ( x ) that is highly oscillatory, e . g . a sinusoid or Bessel function ( see, e . g ., Evans & Webster, 1999 ).
- Not only the recipe for the computation of the volume element \ omega ( \ mathbf { x } ) \, dx _ 1 dx _ 2 \ cdots dx _ r depends on the chosen parameters, but also the final result, i . e ., the analytic form of the weight function ( measure ) \ omega ( \ mathbf { x } ).
- The original notion of variation considered above is the special case of \ scriptstyle \ varphi-variation for which the weight function is the identity function : therefore an integrable function f is said to be a "'weighted " BV " function "'( of weight \ scriptstyle \ varphi ) if and only if its \ scriptstyle \ varphi-variation is finite.
- A function whose codomain is an affine space can only be integrated with a weight function that integrates to 1 over the domain of the integration, thus generating a weighted average of the function's values, or a sort of centroid . ( Note that the weight function in the position case must have units of inverse time, and the result is still a position . ) This makes sense, as any value formed from a collection of arbitrary points in space can only be defined relative to those points rather than to some fixed reference on which the points do not depend.
- A function whose codomain is an affine space can only be integrated with a weight function that integrates to 1 over the domain of the integration, thus generating a weighted average of the function's values, or a sort of centroid . ( Note that the weight function in the position case must have units of inverse time, and the result is still a position . ) This makes sense, as any value formed from a collection of arbitrary points in space can only be defined relative to those points rather than to some fixed reference on which the points do not depend.
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