Sentence examples for exists a necessary from inspiring English sources

Similarly, he offered proofs both for and against the three propositions: (1) that every complex substance consists of simple parts; (2) that not every phenomenon has a sufficient "natural" cause (i.e., that there is freedom in the universe); and (3) that there exists a necessary being, either within or outside the universe.

There exists a necessary temperature condition for the heat pipe heat exchanger to start action.

Furthermore, if we consider asymptotically ω-periodic functions in the Stepanov sense, it is also natural to ask: if there exists a necessary and sufficient condition for asymptotically ω-periodic functions in the Stepanov sense.

With respect to asymptotic periodicity, it is natural to ask: if there exists a necessary and sufficient condition for asymptotically ω-periodic functions due to both its mathematical interest and its applications.

As to the stability, it has been shown in previous works [26 29] that there exists a necessary and sufficient condition for positive-valued group delay of the designed allpass filter with order as follows: (1).

Also, we will show, with very few restrictions, that there exists a necessary and sufficient condition for the nonexistence solutions which are stable outside a compact set of problem like (1.1).

The function k can be any kernel function for which there exists a (not necessary explicit) descriptor encoding function φ: χ → ℜ n, such that the kernel of two objects x, x' corresponds to the dot product of their respective descriptor representations φ (x), φ (x'): (1).

Process theism is critical of the traditional metaphysical question, "Why is there something rather than nothing?" In process thought, the proposition, "Something exists," is a necessary truth (Hartshorne 1971).

Thus, it exists as a necessary evil for people like me.

Within the genome of Escherichia coli bacteria, for example, there exists a series of genes necessary for the synthesis of the amino acid tryptophan.

In addition, these approaches are derived from the micro perspective (i.e., the cell level); however, from the macro perspective (i.e., the network level), there also exists a fraction threshold of the necessary PBSs needed to remain active.