Examples of using He proved in English and their translations into Tagalog
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In An effective power sharpening of a theorem of Liouville in 1971 he proved the following theorem.
In particular he proved theorems about the embedding of an n-dimensional differentiable manifold in Euclidean space
I deleted his number until he proved to me that it was over(Facebook relationship statuses don't lie).
In the following year he proved what has become known as"De Giorgi's Theorem" concerning the Hölder continuity of solutions of elliptic partial differential equations of second order.
In 1919 he proved a remarkable inequality,
groups where he proved in 1893 that every finite field is a Galois field.
He proved the well-posedness of the initial value problem for wave equations in what is now called Sobolev spaces two decades before these spaces became a common tool for specialists.
where he proved a point by scoring in both legs of the UCL quarter-final to defeat Real Madrid and eventually take Monaco to the final.
when(inspired by Mordell and Davenport) he proved the analogue of the Riemann Hypothesis for zeta functions of elliptic curves.
He proved important results,
He proved Santalo's inequality on the volume of the unit ball of a norm on Rn which is having important consequences in a variety of different areas including number theory
He proved important results in this area such as the biholomorphic embedding theorem for a Stein manifold as a closed submanifold in Cn,
In the theory of boundary properties of analytic functions he proved an important result in 1919 on the invariance of sets of boundary points under conformal mappings.
there he made for them a statute and an ordinance, and there he proved them.
a declassified version of his wartime work on the mathematical theory of cryptography, in which he proved that all theoretically unbreakable ciphers must have the same requirements as the one-time pad.
He proves to him that he is not really Jiro Kaja.
He proves the Steinitz Exchange Theorem,
oysters and lobster, he proves to be excellent companions.
In this paper he proves a special case of Arnol'd's conjecture on the number of fixed points of an exact deformation of a compact symplectic manifold.
In the subsequent parts he proves that, in a separable differential field extension,