Question: Suppose a permutation is written (in cycle notation) as a collection of t disjoint cycles whose lengths are n1, n2, . . . , nt

Suppose a permutation is written (in cycle notation) as a collection of t disjoint cycles whose lengths are n1, n2, . . . , nt . (For example, (1, 4, 2) is a cycle of length 3.) Find a formula for sgn using only the numbers n1, n2, . . . , nt , and explain why it works.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

"Fortran, Algol and Lisp invented most programming language concepts 50 years ago; adding the concept of object-orientation suffices to explain all programming languages to date". To what extent is...

123 Compare the purely graphical properties of these two notations, and the ways in which the graphical properties of each display correspond to the information structure being defined. Describe...

Data gistrun sending inside a pack fills in as conventional allowing subordinate rules to execute on progressive clock cycles. Correspondence between gatherings conventionally causes a surprising...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

class Queue using no other data structures than Item, Boolean, int and Stack. The amortized running time of each Queue meth od must be constant. (Note that you may only use the Stack as a black box:...

Give the typing rules for Peano natural numbers and their eliminator.(ii) Using the rules given above, define the addition function.] (iii) Let a binary tree be either a leaf Leaf or a node...

I have to create a program in C and I can't figure it out. The program has to read a source file. Please help. /******************************************************************** PROJECT: Glossary...

Specification and Verification II Consider the following Verilog phrases: initial r = 0; always @(posedge clk) r = a + r; Write down a formula in logic that relates clk, a and r at a level of...

Explain informally the difference between Godel's completeness theorem and his first incompleteness theorem. [8 marks] (b) State the meaning of Hoare triples {P} C {Q} in separation logic. [3 marks]...

If C is the curve given by r (t) = (1+1 sint)i+ (1+4 sin? t) j+ (1+4 sin'r) k, 0

Identify three examples of identification of market opportunities or marketing problems from recent secondary data sources.

L'ensemble de l'quipement lou a une juste valeur marchande de 4 800 000 $. La direction du bailleur a dclar qu'elle avait utilis un taux de rendement de 6 % pour ses calculs, sur la base d'une dure...

A company issues 1,050 shares of its common stock for $33,600 cash. Prepare journal entries to record this event under each of the following separate situations.