Question

state schwarz theorem
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Answer 1

Answer:

The theorem of H. A, Schwarz gives sufficient conditions for the two “mixed”

derivatives ∂

2

∂x∂y f and ∂

2

∂y∂x f of a function f to be equal.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Symmetry of second derivatives. so that they form an n × n symmetric matrix. This is sometimes known as Schwarz's theorem, Clairaut's theorem, or Young's theorem. In the context of partial differential equations it is called the Schwarz integrability condition.