MATHEMATICAL STATEMENTS AND PROOFS In this note we
... • In the present text we will sometimes use the notation “∀X [metric space]”, meaning “for all metric spaces X”, as well as “∀H [Hilbert space]”, meaning “for all Hilbert spaces H”, and some similar things. This is because we prefer not to introduce a special symbol for the set of all metric spaces, ...
... • In the present text we will sometimes use the notation “∀X [metric space]”, meaning “for all metric spaces X”, as well as “∀H [Hilbert space]”, meaning “for all Hilbert spaces H”, and some similar things. This is because we prefer not to introduce a special symbol for the set of all metric spaces, ...
Why Do All Composite Fermat Numbers Become
... It has been proved that any prime number p satisfies Fermat’s little theorem, which includes Fermat primes. But there are some composite numbers also satisfy Fermat’s little theorem, in which the smallest such composite number is 341=11×31, so that such composite numbers are called pseudoprimes to b ...
... It has been proved that any prime number p satisfies Fermat’s little theorem, which includes Fermat primes. But there are some composite numbers also satisfy Fermat’s little theorem, in which the smallest such composite number is 341=11×31, so that such composite numbers are called pseudoprimes to b ...
A note on a one-parameter family of Catalan
... is the g.f. of the Catalan numbers A000108. In addition, (g, f ) will denote a Riordan array whose k-th column has generating function g(x)f (x)k . We recall that a number sequence an is “Catalan-like” if none of the Hankel determinants |ai+j |ni,j=0 is zero, while a lowertriangular matrix (an,k ) i ...
... is the g.f. of the Catalan numbers A000108. In addition, (g, f ) will denote a Riordan array whose k-th column has generating function g(x)f (x)k . We recall that a number sequence an is “Catalan-like” if none of the Hankel determinants |ai+j |ni,j=0 is zero, while a lowertriangular matrix (an,k ) i ...
