WHAT IS THE RIGHT NOTION OF SEQUENTIALITY? 1. Introduction
... WHAT IS THE RIGHT NOTION OF SEQUENTIALITY? ...
... WHAT IS THE RIGHT NOTION OF SEQUENTIALITY? ...
DENSITY AND SUBSTANCE
... each k ∈ N, and hence for each n ∈ N, there exists a unique k ∈ N and j ∈ {0, 1, . . . , k + 1} such that n = nk + j. We now let S = {an }n∈N where an = ank +j = (nk + 1)2 + j(2nk + 1). One can check that an > n2 for every n ∈ N, so we have by a simple comparison test that S is not substantial. Howe ...
... each k ∈ N, and hence for each n ∈ N, there exists a unique k ∈ N and j ∈ {0, 1, . . . , k + 1} such that n = nk + j. We now let S = {an }n∈N where an = ank +j = (nk + 1)2 + j(2nk + 1). One can check that an > n2 for every n ∈ N, so we have by a simple comparison test that S is not substantial. Howe ...
Math 299 Supplement: Modular Arithmetic Nov 8, 2013 Numbers
... Public-key cryptography. The coding methods used in internet security have one basic requirement: a trap-door function, namely a bijection f : S → S on some finite set S, such that f is publicly known and efficiently computable, but its inverse function is not practically computable without knowing ...
... Public-key cryptography. The coding methods used in internet security have one basic requirement: a trap-door function, namely a bijection f : S → S on some finite set S, such that f is publicly known and efficiently computable, but its inverse function is not practically computable without knowing ...
Abelian and non-Abelian numbers via 3D Origami
... despite all the extra creases. This is a consequence of the classic Rigidity Theorem: Theorem 3.1 (Legendre-Cauchy). Any two convex polyhedra with the same graph and congruent corresponding faces are congruent. Notice that, for the sake of clarity, we have used two separate pieces of paper to show t ...
... despite all the extra creases. This is a consequence of the classic Rigidity Theorem: Theorem 3.1 (Legendre-Cauchy). Any two convex polyhedra with the same graph and congruent corresponding faces are congruent. Notice that, for the sake of clarity, we have used two separate pieces of paper to show t ...
Wk #2 - MrsJackieBroomall
... 2) Find one arithmetic mean between 10 and 20. (Find the arithmetic mean of 10 and 20) (Note: Inserting one arithmetic mean midway between the two given numbers is the same as determining the midpoint or average.) ...
... 2) Find one arithmetic mean between 10 and 20. (Find the arithmetic mean of 10 and 20) (Note: Inserting one arithmetic mean midway between the two given numbers is the same as determining the midpoint or average.) ...
full text (.pdf)
... The last preliminary fact is the result of Chandra, Kozen, and Stockmeyer (1981) that PSPACE is equivalent to APTIME, so it suffices to give an alternating PTIME Turing machine to decide membership of sentences in R A N D O M (a). It is convenient to describe first an alternating PTIME algorithm whi ...
... The last preliminary fact is the result of Chandra, Kozen, and Stockmeyer (1981) that PSPACE is equivalent to APTIME, so it suffices to give an alternating PTIME Turing machine to decide membership of sentences in R A N D O M (a). It is convenient to describe first an alternating PTIME algorithm whi ...
Number systems. - Elad Aigner
... Axiom of infinity. Infinite sets exist. We are unable to prove that infinite sets exist and so at this point the axiom of infinity comes into play. The naturals then is considered to be the "smallest" infinite set. In this course we will not clarify the notion behind "smallest". Instead we will pose ...
... Axiom of infinity. Infinite sets exist. We are unable to prove that infinite sets exist and so at this point the axiom of infinity comes into play. The naturals then is considered to be the "smallest" infinite set. In this course we will not clarify the notion behind "smallest". Instead we will pose ...
