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Psi function can refer, in mathematics, to the ordinal collapsing function ...
The Greek alphabet on a black-figure pottery vessel, with an archaic chickenfoot-shaped psi.. Psi / ˈ (p) s aɪ, ˈ (p) s iː / (P)SY, (P)SEE [1] (uppercase Ψ, lowercase ψ or 𝛙; Greek: ψι psi) is the twenty-third and penultimate letter of the Greek alphabet and is associated with a numeric value of 700.
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
The most common symbols for a wave function are the Greek letters ψ and Ψ (lower-case and capital psi, respectively). Wave functions are complex-valued. For example, a wave function might assign a complex number to each point in a region of space.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
List of letters used in mathematics and science; Glossary of mathematical symbols; List of mathematical uses of Latin letters; Greek letters used in mathematics, science, and engineering; Physical constant; Physical quantity; International System of Units; ISO 31
The kilopound per square inch (ksi) is a scaled unit derived from psi, equivalent to a thousand psi (1000 lbf/in 2). ksi are not widely used for gas pressures. They are mostly used in materials science, where the tensile strength of a material is measured as a large number of psi. [4] The conversion in SI units is 1 ksi = 6.895 MPa, or 1 MPa ...
There is an additive definition of the psi function as well. Quoting from Dickson, [ 1 ] R. Dedekind [ 2 ] proved that, if n {\displaystyle n} is decomposed in every way into a product a b {\displaystyle ab} and if e {\displaystyle e} is the g.c.d. of a , b {\displaystyle a,b} then