Any 3 of the above 6 solutions satisfy a linear relation as the space of solutions is 2-dimensional, giving ( ) = 20 linear relations between them called "'connection formulas " '.
32.
Any 3 of the above 6 solutions satisfy a linear relation as the space of solutions is 2-dimensional, giving ( ) = 20 linear relations between them called "'connection formulas " '.
33.
If a set of points is not in general linear position, it is called a degenerate case or degenerate configuration, which implies that they satisfy a linear relation that need not always hold.
34.
This equivalence transforms a linear relation over the algebraic numbers into an algebraic relation over by using the fact that a symmetric polynomial whose arguments are all conjugates of one another gives a rational number.
35.
In the case of Vi�te's formula, there is a linear relation between the number of terms and the number of digits : the product of the first terms in the limit gives an expression for that is accurate to approximately digits.
36.
In 1961, Birch published two papers on compressional wave velocities establishing a linear relation of the compressional wave velocity V p of rocks and minerals of a constant average atomic weight \ bar { M } with density \ rho as:
37.
Note that in statements of the assumptions underlying regression analyses such as ordinary least squares, the phrase " no multicollinearity " is sometimes used to mean the absence of perfect multicollinearity, which is an exact ( non-stochastic ) linear relation among the regressors.
38.
Following the discovery by Edwin Hubble of a linear relation between the redshifts of the galaxies and their distance in 1929, Einstein abandoned his static model of the universe and proposed expanding models such as the Friedmann-Einstein universe and the Einstein-de Sitter universe.
39.
Where c is the speed of light, l the length of the light path and t the time interval This linear relation between l and t, is the base of the constancy of light speed, the base of all the rest of the article.
40.
Each vector defines a linear relation between the x _ r, the rth components of a vector is the coefficients of x _ r such that the sum is zero to witin a tolerance defined by the last component of the vector times 10 ^ (-ac ).
