Much recent work in cardinal characteristics has focused on generalizing results about ω to uncountable cardinals by studying analogues of classical the generalized Baire and Cantor spaces κ 2 . In this note I look at generalizations other function spaces, focusing particularly space functions f : → By considering invariants setting derive a number “higher dimensional” such cardinals, ultimatel...

Endurance Time method is a time history dynamic analysis in which structures are subjected to increasing excitations. These excitations are known as endurance time excitation functions (ETEF). This study proposes a new method for generating ETEFs. In the proposed method, a new basis function for representing ETEFs is introduced. This type of ETEFs representation creates an intelligent space for...

The purpose of this paper is to introduce and investigate cardinal functions called pseudonet weight, weak net weight, and weak pseudonet weight. These are similar to but generally smaller than net weight. We look at how these cardinal functions relate to hereditary Lindelöf degree, hereditary density, and spread, and we study their behavior under products. An important and useful cardinal func...

The cardinal functions of pseudocharacter, closed pseudocharacter, and character are used to examine H-closed spaces and to contrast the differences between Hclosed and minimal Hausdorff spaces. An H-closed space X is produced with the properties that |X| > 22 ψ(X) and ψ(X) > 2ψ(X).

We introduce two sine and cosine types of generating functions in a general case apply them to the classical hypergeometric orthogonal polynomials as well some widely investigated combinatorial numbers such Bernoulli, Euler Genocchi numbers. This approach can also be applied other celebrated sequences.