linearly independent
- a word derived from linear independence.
Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
In this case, we know eλx is a solution to Equation 7.1, but it is only one solution and we need two linearly independent solutions to determine the general solution.
From Textbooks ● Mar. 30, 2016
Note that y1 and y2 are not constant multiples of one another, so they are linearly independent.
From Textbooks ● Mar. 30, 2016
If we are able to find two linearly independent solutions to a second-order differential equation, then we can combine them to find the general solution.
From Textbooks ● Mar. 30, 2016
Using some smart choices for c1 and c2, and a little bit of algebraic manipulation, we can find two linearly independent, real-value solutions to Equation 7.1 and express our general solution in those terms.
From Textbooks ● Mar. 30, 2016
This is equivalent to saying that the group contains r linearly independent infinitesimal operations; and that the most general infinitesimal operation is obtained by combining these linearly with constant coefficients.
From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various
