Sentence examples for geometrical fact from inspiring English sources

"It's just a simple geometrical fact.

That is to say: in a Minkowski spacetime, if one has "rigid rods" and "clocks", and uses these in the standard ways to measure the "length" of a (rigid) moving body in the direction of its motion, it is a simple mathematical or geometrical fact that the moving body will be measured as having its length contracted in accord with the Lorentz-Fitzgerald formula.

Presumably he will need distinct impossible ones as well, so that Hobbes' pleasure in contemplating the (supposed) geometrical fact (actually, a mathematical impossibility) that the circle can be squared may be distinguished from his pleasure in his having (equally impossibly) discovered this.

This simple geometrical fact can explain how linkers of different lengths can fit inside an internal cavity of constant size.

The fact that the autophagic elements have the geometry of a sphere as a rule gives us the possibility to estimate their number with the help of their S sp. The method of estimation is based on the simple geometrical fact that the surface/volume ratio of a certain sphere is exactly determined by its size.

This purely geometrical fact evidently prescribes a smaller variation of the intersection point when the basin boundary is changing due to the variance of Bcd concentration, as opposed to the case if the curves would jointly rise or jointly fall along the A-P axis (we illustrated this mechanism of canalization in Additional file 18: Figure S13).

Simple geometrical facts alone, however, suffice to determine the values of the trigonometric functions for the angles 0°, 30°, 45°, 60°, and 90°.

It may be calculated, for example, that the image of a grating produces lines 0.5 micron wide on the retina, but this is on the basis of ideal geometrical optics; in fact, the optics of the eye are not perfect, while diffraction of light by its passage through the pupil further spoils the image.

Due to the space limitation, we will not list all that cases; in fact, considering geometrical properties, it is sufficient to list only those schemes which have different geometrical arrangement.

That is primarily due to the fact that geometrical features present in computational model of fully porous structures span over multiple length scales.

This is due to the simple geometrical ideas and the fact that this result, despite several efforts, is in most cases no more valid for the generalized Liénard equation x ¨ + f ( x ) x ˙ + g ( x ) = 0.