10 Answered Questions for the topic Math Proofs

Math Proofs Proofs Other Math

02/25/18

Induction proofs
Exercise 2.25: P(n) is the number of regions in the plane formed by n lines in general position: n=1, p(n)=2; n=2, p(n)=4; n=3, p(n)=7; n=4, p(n)=11; n=5, p(n)=16; n=6, p(n)=22.2.76) Finish the... more
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Math Proofs Math Proofs

02/21/18

Prove that for any integer z that is a perfect square, there exists integers m and n such that m^2+n^2=zk.
Let k be an integer such that there exist integers p and q with p^2+q^2=k.   Prove that for any integer z that is a perfect square, there exists integers m and n such that m^2+n^2=zk.
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Math Proofs Math Logic Proofs

01/26/18

Proofs, Math logic
How can you prove that one positive integer is less than another? A<B  
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Math Proofs Set Theory

11/20/17

I need help with writing a proof about cardinality. Please look at description for more detail.
Let N^N(Nautral Numbers)={f:f|N->N}.   a. Give two elements of N^N   b. Prove that Aleph Zero <|N^N|
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Math Proofs Analysis

11/07/17

The question is about proving limits
a) Show that if xn≠0, where n(∈) is a subset of N then lim(xn)=0 if and only if lim(1/xn2)=infinity    b) Give an example for which lim(xn)=0 but lim(1/x2n) does not exist  
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11/28/16

Given: line WXY, m<WXZ = 135°. Prove: m<ZXY = 45°
Statements line WXY m<WXY = 180° m<WXZ = 135° m<WXY = m<WXZ + m<ZXY 180° = 135° + m<ZXY 45° = m<ZXY m<ZXY = 45°   Reasons  Given Defintion of supplementary... more
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Math Proofs

10/15/16

Prove or disprove,n is a rational number, 1/n does not equal n-1
Prove or disprove,n is a rational number, 1/n ≠ n-1
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03/21/16

prove that there does not exist n belongs to N such that n congruent 2 (mod 4) and n congruent 4 (mod 8)
prove that there does not exist n∈N such that n≡2 (mod 4) and n≡4 (mod 8). Please help this was on my last exam but I was very lost and my professor did not have enough time to go over it in class.
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10/21/15

What is the minimum height height of a full binary tree?
What is the minimum height of a full binary tree T which has nodes n(T) = 2k-1 for k= 1, 2, ... ?
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Math Proofs Proofs

02/13/15

How to prove that there is no r in the rationals such that r^2 = 6
 Can someone help me write a full proof for this
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