weight function in a sentence
Examples
- 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.