英和和英

名詞

projection matrix (複数形 projection matrices)

1. (linear algebra) A transformation matrix whose associated transformation is a projection.
   • 2006, H. Watari, Y. Shimoyama, Chapter 5: Density Matrix Formalism of Angular Momentum in Multi-Quantum Magnetic Resonance, Christopher J. Bender, Lawrence Berliner (editors, Computational and Instrumental Methods in EPR, Springer, page 191,

     The resultant eigenvalues of the angular momentum are independent of direction, but the projection matrices are dependent.

   • 2012, Jan Erik Solem, Programming Computer Vision with Python, O'Reilly, page 91,

     We use the GLU utility function gluPerspective() to set the projection matrix and define the whole image to be the view port (essentially what is to be shown).

2. (statistics) A matrix that maps a vector of response (dependent variable) values to a vector of fitted or predicted values.
   • 1999, Terrance J. Quinn II, Richard B. Deriso, Quantitative Fish Dynamics, Oxford University Press, page 372,

     Caswell (1989) pointed out that most linear stage-structured models have both primitive and irreducible projection matrices. […] The projection matrix M shown in the table is then calculated as PS + R.

   • 2013, John H. Vandermeer, Deborah E. Goldberg, Population Ecology: First Principles, 2nd Edition, Princeton University Press, page 62,

     We then turn to applications of population projection matrices both for natural resource management and for conservation.