Sentence examples for fundamental sets from inspiring English sources

In this study, the simplest and most fundamental sets of processes are distilled that describe the emission data measured during aerobic and anaerobic leachate recirculation in lysimeters.

In all cases, a simple criterion is developed for answering this question, and if the answer is yes, all successful changes are identified as mappings from more fundamental sets.

There is often not a fundamental set of facts on which opposing sides can agree to use as a starting point, making discussion or debate impossible.

On the far side of all the church scandals and all its misspent energy, these Catholics still see a fundamental set of values, a compass, that they don't want to lose touch with or give up on.

The City also faces a fundamental set of challenges: are its skills and history, its networks of firms and the liquidity of its markets enough to keep it the world's pre-eminent international financial centre, even as the weight of global economic activity shifts to Asia?Dividing the houseRegulators are naturally obsessed with the financial crisis of 2008-09.

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.

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

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

The calculator offers a step-by-step help function to support the user in defining this fundamental set of datab.

We determine whether the set of solutions is a fundamental set or not according to the Wronskian being invertible or not.