"Premultiply" Pronounce,Meaning And Examples

"Premultiply" Meaning

Multiplying one matrix by another, typically a scalar or another matrix, before they are used in a mathematical operation, such as a division or an addition.

"Premultiply" Examples

Example Sentences

1. Mathematics: In vector calculus, the process of multiplying two matrices is often discussed in the context of premultiplying by the transpose of the other matrix, which involves taking the transpose of one matrix and multiplying it first in the equation.

2. Computer graphics: To achieve the desired color values, a pixel is often premultiplied by the alpha channel value, which means the red, green, blue color components are multiplied by the alpha channel to ensure a smooth transition when applying translucent surfaces on top of opaque surfaces.

3. Audio processing: In digital signal processing (DSP), premultiplying a signal is essentially the first phase of audio effects networks; audio signals can be premultiplied by digital filters to compensate for room frequencies before they are converted into audio tracks during production.

4. Engineering: Material properties such as thermal expansion coefficients can be premultiplied with material density under integrals used in the theory of machine parts and their conditions as an assessment factor to help calculate the sum of macro quantities.

5. Finance: Septupling, which is another term for premultiplying by 7s, is how leverage in technical analysis can be seen; by multiplying market values with scalar numbers such as these, perceived volatility and market growth increase more dramatically.