Rational linear expressions.
Michel Waldschmidt has written: 'Diophantine Approximation on Linear Algebraic Groups' 'Transcendence methods' -- subject(s): Transcendental numbers, Algebraic number theory 'Linear independence of logarithms of algebraic numbers' -- subject(s): Linear algebraic groups, Linear dependence (Mathematics), Algebraic fields
When the matrix of coefficients is singular.
copper
A linear fraction is an expression of the form n/(ax + b) where n, a and b are integers.More generally, an algebraic fraction with a denominator which is a polynomial of order 2 (quadratic) or higher can sometimes be rewritten as a sum of fractions each of whose denominators are binomial expressions or linear fraction. This is particularly important for integration.
No, it could be a constant.
No, they are simply three expressions: there is no equation - linear or otherwise.
No. The equation 3/2 x + 2/3 y - 7 = 42 is a linear equation. But the coefficients of x and y are both rational numbers, not whole numbers.
R. Lawther has written: 'Centres of centralizers of unipotent elements in simple algebraic groups' -- subject(s): Linear algebraic groups 'A1 subgroups of exceptional algebraic groups' -- subject(s): Linear algebraic groups, Lie algebras
Large
1323
The coefficients and constant in one of the equations are a multiple of the corresponding coefficients and constant in the other equation.
The same as linear growth, e.g. start with 30 hats, buy 3 new ones each year. There is algebraic/linear growth of the number of hats through the years