Sentence examples for action on functions from inspiring English sources

A more direct example is provided by the power set operation, which yields two functors on the category of sets, depending on how one defines its action on functions.

Consider the natural action of on functions, given by.

The study of (10.4) also requires that we verify cancellation properties in terms of its action on "bump functions".

The directional STFT of (finmathcal {S}'(mathbb {R}^{n})) with respect to g is the element (DS_{g}fin mathcal{S}'(mathbb{Y}^{2n})) whose action on test functions is given by langle DS_{g}{f}, Phirangle:=bigllangle f, DS^_{overline{g}}{Phi}bigrrangle, quad Phiinmathcal{S}bigl( mathbb {Y}^{2n}bigr).

We recently found that, in turn, mTORC1 exerts a powerful regulatory action on lysosomal function and catabolism.

where is the linear diffusion operator whose action on a function is given by (26).

[18] Given that homocysteine exerts a thrombotic effect through its action on platelet function, concomitant treatment with aspirin (or possibly other ant-platelet drugs) could reduce or negate the antiplatelet effect of lowering homocysteine in the trials.

These results indicate that PKG-CA exerted a specific, inhibitory action on the function of cardiac-type KATP channels expressed in HEK293 cells, which became evident only in cell-free patches (Fig. 2A,B,E) but not in intact cells.

Rapamycin and its analogues (CCI-779, RAD001 and AP23573) have specific antagonistic action on the function of mTOR.

Opposite to this, heparin did not produce any improving action on the function of the spring LLM.

The inverse association between use of calcium channel blockers and risk of incident gout possibly stems from its action on renal function.