Sentence examples for and to the function from inspiring English sources

We apply Corollary 2.9 to the iteration function ({T^{(N)} colon D_{N} subset mathbb{K}^{n} to mathbb{K}^{n}}) defined by Definition 1.3 and to the function ({E colon mathbb{K}^{n} to mathbb{R}_) defined by (4.1).

Thus, we propose that the cooperation is not only crucial but also beneficial to the binding of AT3 protein with polyUb or multiUb, and to the function as a deubiquitinating enzyme.

Pharmacokinetic alterations with aging alone can result in changes to both a person's body composition and to the function of drug-eliminating organs.

Nephrin is essential to glomerular filtration and to the function of the podocyte foot processes, and nephrin mutations are associated with nephrotic syndrome.

"Auditing is crucial to protection of the investor" and to the functioning of efficient markets, Mr. Volcker said.

Key risks are cancer, birth defects, and damage to the nervous system and to the functioning of the endocrine system.

Genetic analysis of human cancer is providing clues to the etiology of these diverse tumors and to the functions of the p53 gene.

The latter is sensitive both to the symmetry of the structural environment and to the wave function of the outer electrons of the atom containing the Mössbauer nucleus.

Even in the frontier west, people banded together to hire a sheriff who was sworn to uphold the laws of the state and to whom the function of protecting citizen lives and property from criminal intrusion was delegated.

He wants the big regional health-care systems that dominate many metropolitan areas to expand their reach and to assume the function of insuring patients as well.

Admittedly, further studies are needed to confirm our findings and to evaluate the function of the disease-associated SNPs.