Sentence examples for forms of degree from inspiring English sources

"Europe will not quickly take to new forms of degree delivery," predicts Santiago Iñiguez, the president of Spain's IE university.

d i meaning the exterior derivative restricted to differential forms of degree i.

For generic coefficients Tklij, however, all differential forms of degree 2 and higher vanish.

As usual, we denote by Ω i ( X, F ) Open image in new window the space of all smooth differential forms of degree i with coefficients in F on X Open image in new window.

Observe that non-homogeneous boundary conditions on ∂M may induce homogeneous conditions on ∂N, because ∂N is an (n - 2 -manifold and all forms of degree (n - 1) or n are always zero at ∂N.

For i ∈ Z Open image in new window, we denote by Θ i T ∗ X Open image in new window the bundle of exterior forms of degree i over X Open image in new window.

The logarithmic forms of degrees and their probabilities (proportions) are graphically plotted in Figure  4C, two of which obviously represent a linear relationship.

The conjecture has been made that every form of degree d (in the same sense as degrees of ordinary polynomials) over Qp, in which the number of variables exceeds d2, has a nontrivial zero in Qp.

Definition 2.4[9]Let u be a differential form of degree l and D a compact subset of ℝ n.

These were used to express activity, prompt rate and delayed count rate as object-independent functions of the singles rate in the form of degree 6 polynomials.

An easy computation shows that ∂i + 1∂ i f=Ω f, where Ω is a differential form of degree 2 with coefficients in C ∞ (Hom(F)).