लुप्त-होकर हिंदी उपयोग और उदाहरण

"" कालान्तर में इस भूभाग से सप्त सिन्धव लुप्त होकर सिन्ध रह गया है, जो खण्डित भारत यानी पाकिस्तान का सिन्ध प्रदेश है।

खोया हीन ग्रह (Lost minor planet) एक ऐसा हीन ग्रह होता है जो खगोलशास्त्रियों द्वारा देखा गया हो लेकिन इतने कम समय के लिये कि उसकी कक्षा (ऑरबिट) ठीक से ज्ञात होने से पहले ही वह लुप्त होकर किसी अज्ञात स्थान पर चला गया हो।

कालान्तर में इस भूभाग से सप्त सिन्धव लुप्त होकर सिन्ध रह गया है, जो खण्डित भारत यानी पाकिस्तान का सिन्ध प्रदेश है।

लुप्त-होकर इसके अंग्रेजी अर्थ का उदाहरण

The vanishing of Betti cohomology groups exceeding twice the dimension is clear from the fact that a (complex) manifold of complex dimension n has real dimension 2n, so these higher cohomology groups vanish (for example by comparing them to simplicial (co)homology).

Simmons hops slightly as he pivots to assume the firing position and, following the blood wash, the dot becomes smaller and jumps to the lower right-hand corner of the frame before simply vanishing.

com: "Shrinkage: The vanishing swimming pools of San Francisco".

The nilpotent cone of \operatorname{sl}_2, the Lie algebra of 2×2 matrices with vanishing trace, is the variety of all 2×2 traceless matrices with rank less than or equal to 1.

, a linear functional vanishing on Lie brackets).

A proof of the embedding theorem without the vanishing theorem (due to Simon Donaldson) appears in the lecture notes here.

Student religious organizations in Denmark In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero.

By means of Serre duality, one also obtains the vanishing of H^q(M, L^{\otimes-1}) for q K_M\otimes L\cong\Omega^n(L), where Ωn(L) denotes the sheaf of holomorphic (n,0)-forms on M with values on L, is replaced by Ωr(L), the sheaf of holomorphic (r,0)-forms with values on L.

The Kodaira vanishing theorem can be formulated within the language of algebraic geometry without any reference to transcendental methods such as Kähler metrics.

The algebraic Kodaira–Akizuki–Nakano vanishing theorem is the following statement:.

However, in 1987 Pierre Deligne and Luc Illusie gave a purely algebraic proof of the vanishing theorem in .

Historically, the Kodaira embedding theorem was derived with the help of the vanishing theorem.

With application of Serre duality, the vanishing of various sheaf cohomology groups (usually related to the canonical line bundle) of curves and surfaces help with the classification of complex manifolds, e.