regularity theorem造句

In 1970 he published the survey article ( 21 references ) " Gersgorin theorems, regularity theorems, and bounds for determinants of partitioned matrices ".
*PM : regularity theorem for the Laplace equation, id = 6655-- WP guess : regularity theorem for the Laplace equation-- Status:
*PM : regularity theorem for the Laplace equation, id = 6655-- WP guess : regularity theorem for the Laplace equation-- Status:
The problem is that it may have singularities on the singular elements of the group; the regularity theorem implies that these singularities are not too severe.
In 1971 Brenner extended his geometry of the spectrum of a square complex matrix deeper into abstract algebra with his paper " Regularity theorems and Gersgorin theorems for matrices over rings with valuation ".
It's difficult to find regularity theorem in a sentence. 用regularity theorem造句挺难的

Harish-Chandra's regularity theorem states that any invariant eigendistribution, and in particular any character of an irreducible unitary representation on a Hilbert space, is given by a locally integrable function.
He wrote one of the longest papers in mathematics, proving what is now called the Almgren regularity theorem : the singular set of an-dimensional mass-minimizing hypersurface has dimension at most : he also developed the concept of varifold, first defined by orientation is missing.
In 1978 he was an invited speaker at the International Congress of Mathematicians in Helsinki ( " p-adic L functions, Serre-Tate local moduli and ratios of solutions of differential equations " ) and 1970 in Nice ( " The regularity theorem in algebraic geometry " ).
The basic regularity theorem concerning the metric in harmonic coordinates is that if the components of the metric are in the H鰈der space " C " " k ", & alpha; when expressed in " some " coordinate system, then they are in that same H鰈der space when expressed in harmonic coordinates.
The proof of this relies upon an improved regularity theorem that says that if \ partial \ Omega is C ^ k and f \ in H ^ { k-2 } ( \ Omega ), k \ geq 2, then u \ in H ^ k ( \ Omega ), together with a Sobolev imbedding theorem saying that functions in H ^ k ( \ Omega ) are also in C ^ m ( \ bar \ Omega ) whenever 0 \ leq m.