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Chen gave a relation between the sectional curvature and the shape operator for an n-dimensional submanifold M in a Riemannian space form R m ( c ¯ ) in [4] as follows: A N > n − 1 n ( c − c ¯ ) I n, (1.1).
The locations for CASE1 and CASE3 are chosen by referring to Nakata et al. (1998) who gave a relation between the branching geometry of active faults and the location of a rupture starting point.
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The following lemma gives a relation between two proximity measures.
Also, we give a relation for the cosine of the angle between two given real matrices.
Also, we give a relation between these numbers and Nörlund numbers.
The following theorem gives a relation between almost everywhere convergence and weak convergence.
The following theorem gives a relation between the Leray-Schauder degree and the critical groups.
By the definition, R g for a sphere with radius R gives a relation, ( {R}_g/ R=sqrt{3/5}approx 0.77 ).
We also give a relation between the λ-Bernoulli polynomials, the λ-Apostol-Daehee polynomials and the Bernstein polynomials.
In the following theorem, we give a relation between P n, N ( M ) ( x ) and Apostol-Bernoulli polynomials.
The following theorem gives a relation between the Daehee polynomials of higher order and λ-Daehee polynomials of higher order.
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