Sentence examples for exterior powers from inspiring English sources

We've made some strides in recognizing and supporting the efforts of girls, but we still have a long way to go to ensure that all girls will grow up in a safe and encouraging world, where their opportunities are limitless and they're valued as who they are as individuals (and not relative to how "useful" they are to exterior powers).

Ms. Baldwin had the interior repainted and the exterior power washed, brought in some area rugs and made several other decorating changes.

Let (wedge^{k} E) denote the kth exterior power of the cotangent bundle.

Let be the th exterior power of the cotangent bundle and be the space of smooth -forms on.

Let be the th exterior power of the cotangent bundle, and let be the space of smooth -forms on and has generalized gradient.

Let ∧ l M be the l th exterior power of the cotangent bundle, C ∞ ( ∧ l M ) be the space of smooth l-forms on M and W ( ∧ l M ) = { u ∈ L loc 1 ( ∧ l M ) : u  has generalized gradient }.

Let ∧ l M be the l-th exterior power of the cotangent bundle, C∞ ∧ l M) be the space of smooth l-forms on M and W ( ∧ l M ) = { u ∈ L l o c 1 ( ∧ l M ) : u has generalized gradient}.

Since (Xwedge Y) is an element of the vector space of anti-symmetric contravariant two tensors (wedge^{2}S TM)) which is also known as the second exterior power of (S TM)) [52], any element of (S TM oplus_{mathrm{orth}} S TM /operatorname{SL}(2,mathbb{R})) can be considered as an element of (wedge^{2}S TM)) satisfying PiwedgePi=0 (21) for all (Piinwedge^{2}S TM)).

Assume that (wedge^{l} Omega) is the lth exterior power of the cotangent bundle, (C^{infty}(wedge^{l} Omega)) is the space of smooth l-forms on Ω and (mathcal{W}(wedge^{l} Omega)= {u in L^{1}_{mathrm{loc}}(wedge^{l} Omega):umbox{ has generalized gradient}}).

L p (E, ∧ k ) is a Banach space equipped with norm ∥ ω ∥ p, E = ( ∫ E | ω ( x ) | p d x ) 1 / p = ( ∫ E ( ∑ I | ω I ( x ) | 2 ) p / 2 d x ) 1 / p. Let D be a bounded convex domain in ℝ n, n ≥ 2, and C∞ (∧ k D) be the space of smooth k-forms on D, where ∧ k D is the k th exterior power of the cotangent bundle.

You feel the desperation, the loss and the dependency of some kind of exterior power to guide him towards the right direction.