Sentence examples for exists a fundamental set of from inspiring English sources

There exists a fundamental set of solutions of the second order homogeneous linear β-difference equation (3.6).

Thus the solutions (y_{1}) and (y_{2}) are linearly independent in J. Then there exists a fundamental set of the two solutions (y_{1}) and (y_{2}) of equation (3.6).

It's amazing to me how many people operate day in and day out using a fundamental set of "rules" that don't actually exist anywhere.

From Theorem 3.1, it follows that, if, then (1.1) has a fundamental set of solutions with, and ; if, then (1.1) has a fundamental set of solutions with, and,.

They are also linearly independent and therefore form a fundamental set of solutions.

There exists a fundamental paradox at the heart of the IFR system for rationing health care resources.

According to a YouGov poll last month, 55% of the population think there exists "a fundamental clash between Islam and the values of British society".

In other words, there exists a fundamental hypocrisy.

In high-dimensional data, there often exists a lower-dimensional space that describes the majority of the observed variation, i.e., a smaller "fundamental set of independent variables... which determine the values of the original data" [[ 31], cited in [ 32]].

It is an effective tool to determine whether the set of solutions is a fundamental set or not.

Instead, there often exists a set of alternative solutions.