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Prove - digraph of a partial order has no cycle more than 1, Prove that the...

Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A

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By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9.    Answer: Let make four groups of two numbers from 1 to 8 like

Integrals involving quadratics - integration techniques, Integrals Involvin...

Integrals Involving Quadratics To this point we have seen quite some integrals which involve quadratics.  Example of Integrals Involving Quadratics is as follow: ∫ (x / x 2

I need help, in 2000,nearly 18% of cars in north America were sliver. what ...

in 2000,nearly 18% of cars in north America were sliver. what percent of the cars sold were not sliver?

If tan2x.tan7x=1 , tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its give...

tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies

Absolute mean deviation-measures of central tendency, Illustration 1 I...

Illustration 1 In a described exam the scores for 10 students were given as: Student Mark (x) |x-x¯| A 60

In an election contested between a and b determine vote, In an election con...

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

Give the definition of logarithms, Give the Definition of Logarithms ? ...

Give the Definition of Logarithms ? A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = ay, then log a x = y.

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