Transcendental nature of special values of L-functions
... The algebraic nature of special values of L-functions is shrouded in mystery. The L-functions arise from various contexts like algebraic number theory (Riemann zeta function, Dirichlet L-functions, Dedekind zeta functions, L-series associated with Hecke grossencharacters), representation theory, and ...
... The algebraic nature of special values of L-functions is shrouded in mystery. The L-functions arise from various contexts like algebraic number theory (Riemann zeta function, Dirichlet L-functions, Dedekind zeta functions, L-series associated with Hecke grossencharacters), representation theory, and ...
Discrete Mathematics for Computer Science Some Notes
... These notes grew out of lectures I gave in 2005 while teaching CSE260. There is more material than can be covered in one semester and some choices have to made as to what to omit. Unfortunately, when I taught this course, I was unable to cover any graph theory. I also did not cover lattices and bool ...
... These notes grew out of lectures I gave in 2005 while teaching CSE260. There is more material than can be covered in one semester and some choices have to made as to what to omit. Unfortunately, when I taught this course, I was unable to cover any graph theory. I also did not cover lattices and bool ...
Factorials of real negative and imaginary numbers - A
... ΠðxÞ ¼ Γ ðx þ 1Þ ¼ x! The notation ‘!’ for the factorial function was introduced by C. Kramp in the year 1808 (Wolfram Research 2014a,b). Legendre in 1808 gave the notation ‘Γ’ to the Euler’s gamma function (Gronau 2003). Gauss introduced the notation ΠðsÞ ¼ Γ ðs þ 1Þ; which was subsequently abandon ...
... ΠðxÞ ¼ Γ ðx þ 1Þ ¼ x! The notation ‘!’ for the factorial function was introduced by C. Kramp in the year 1808 (Wolfram Research 2014a,b). Legendre in 1808 gave the notation ‘Γ’ to the Euler’s gamma function (Gronau 2003). Gauss introduced the notation ΠðsÞ ¼ Γ ðs þ 1Þ; which was subsequently abandon ...
Lecture notes on descriptional complexity and randomness
... about [15] but following a four decades long controversy on von Mises’ concept of randomness, see [51]) that to make this approach work we must define “regular” or “simple” as “having a short description” (in some formal sense to be specified below). There cannot be many objects having a short ...
... about [15] but following a four decades long controversy on von Mises’ concept of randomness, see [51]) that to make this approach work we must define “regular” or “simple” as “having a short description” (in some formal sense to be specified below). There cannot be many objects having a short ...
Consequence Operators for Defeasible - SeDiCI
... proof for reaching a conclusion. An argument is warranted when it ultimately prevails over other con°icting arguments. In this context, defeasible consequence relationships for modeling argument and warrant as well as their logical properties have gained particular attention. The study of logical pr ...
... proof for reaching a conclusion. An argument is warranted when it ultimately prevails over other con°icting arguments. In this context, defeasible consequence relationships for modeling argument and warrant as well as their logical properties have gained particular attention. The study of logical pr ...
MAD2104 Course Notes - FSU Math
... This is the familiar definition of a function f from a set A to a set B as a rule that assigns each element of A to exactly one element B. This is probably quite familiar to you from your courses in algebra and calculus. In the context of those subjects, the sets A and B are usually subsets of real ...
... This is the familiar definition of a function f from a set A to a set B as a rule that assigns each element of A to exactly one element B. This is probably quite familiar to you from your courses in algebra and calculus. In the context of those subjects, the sets A and B are usually subsets of real ...
