What is Jacobi transform?

The identity transform is a data transformation that copies the source data into the destination data without change. The identity transformation is considered an essential process in creating a reusable...

Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares.

The Hilbert–Huang transform is a way to decompose a signal into so-called intrinsic mode functions along with a trend, and obtain instantaneous frequency data. It is designed to work well...

Stationary-wave integrated Fourier-transform spectrometry , or standing-wave integrated Fourier-transform spectrometry, is an analytical technique used for measuring the distribution of light across an optical spectrum. SWIFTS technology is based on...

Fractional wavelet transform is a generalization of the classical wavelet transform. This transform is proposed in order to rectify the limitations of the WT and the fractional Fourier transform. The...

In signal processing, the chirplet transform is an inner product of an input signal with a family of analysis primitives called chirplets. Similar to the wavelet transform, chirplets are usually...

In mathematics, the Fourier transform on finite groups is a generalization of the discrete Fourier transform from cyclic to arbitrary finite groups.

In signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency. Many common integral transforms used in...

In mathematics, the discrete Fourier transform over a ring generalizes the discrete Fourier transform , of a function whose values are commonly complex numbers, over an arbitrary ring.

In celestial mechanics, Jacobi's integral is the only known conserved quantity for the circular restricted three-body problem. Unlike in the two-body problem, the energy and momentum of the system are...