Sentence examples for since rotation from inspiring English sources

Rapidly rotating Population III stars can have very different properties than their non-rotating counterparts, since rotation affects their evolution on the main sequence and beyond, as well as the degree to which the nucleosynthetic products mix with each other.

Also, since rotation from b to a is opposite to that from a to b, This shows that the cross product is not commutative, but the associative law (sa) × b = s(a × b) and the distributive law are valid for cross products.

Also, since rotation is often an important ingredient in both planetary dynamos and in experiments, the Ekman number E=ν/(Ω L 2) is relevant.

Since rotation of curvelet operator and rotation of image has the same effect, the observed angle between the curvelet operator and the image for the highest correlation value remains fixed.

Since rotation is not involved, no coiling is generated and no free DNA terminus is required during spooling.

Since rotation of dsDNA in chromosome causes the topological stress and extra ATP consumption, the enigma concerning how RuvB translocates dsDNA needs to be elucidated.

This extension is not an obvious one since rotations and couple-stresses are involved in the theory employed to analyze the crack problems.

so (4) follows since rotations commute with dilations and g 1 is isotropic, i.e., R α g 1 ( x ) = g 1 ( x ).

After a suitable completion, we may consider the Hilbert space (varOmega^{1}_{mathbb{L}^{2}}(mathbb {S}^{2})) of forms which are square-integrable, and since rotations are unitary maps, and writing (P g)) for the map (omegamapsto g_{star} omega) whenever g is a rotation, we get a unitary representation ((varOmega^{1}_{mathbb {L}^{2}}(mathbb {S}^{2}), P)) of the rotation group.

From these results (2D and 3D frames), it can be deducted that the ASCE standard limits (IO, LS, CP) based on constant rotations are not necessarily appropriate if the goal is to ensure constant damage for the same type of frame structure since rotations are dependent on the span-to-depth ratios and seismic level demands.

Since rotations are not commutative, we must specify the order of rotations at multi-degree of freedom joints.