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Order Theorderof agroupG=(S,∘)is the number of elements in the setS, and likewise the order of aringorfield(S,+,×)is the number of elements inS. In a group, the order of an elementg∈Sis the least positive integerksuch thatgk=1(where the group law is written multiplicatively ...
The act of instructing, teaching, or furnishing with knowledge; information. Order A condition of logical or comprehensible arrangement among the separate elements of a group. Instruction That which instructs, or with which one is instructed; the intelligence or information imparted Order A condition...
Equipment or uniform for a specified purpose or of a specified type The platoon changed from drill order into PT kit Indent An indentation Every indent in the coastline Order The degree of complexity of an equation, expression, etc., as denoted by an ordinal number. Indent An indenture. Order...
A. Ivić, On the number of abelian groups of a given order and on certain related multiplicative functions. J. Number Theory 16 , 119–137 (1983) MATH MathSciNetOn the number of Abelian groups of a given order and on certain related multiplicative functions, J. Number Theory 16 - IV&...
For any prime p we consider the density of elements in the multiplicative group of the finite field F_p having order, respectively index, congruent to a(mod d). We compute these densities on average, where the average is taken over all finite fields of prime order. Some connections between...
When we use permutations, the order of the arrangement that we are going to form is important, in addition, the events are multiplicative, the use of factorial numbers is necessary.Answer and Explanation: We can use permutations in arrangements where the order of objects is important, ...
In this... D Freeman,M Scott,E Teske,... 被引量: 224发表: 2006年 A family of semistable elliptic curves with large Tate-Shafarevitch groups We present a family of elliptic curves defined over the rationals Q such that each curve admits only good or multiplicative reduction and for ...
Here, either the hash function to chain blocks in a blockchain or the hash functions to aggregate transactions within single blocks (usually by means of a Merkle-tree) are replaced by a chameleon-hash function. Moreover, we take a second look at online/offline signatures and discuss how ...