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solakis
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October 17th, 2017,
20:17
solakis
replied to a thread
sequences
in
Challenge Questions and Puzzles
Given L,choose ε=min{|1-L|,2},then for any natular No L,put n=2N for L=-1 and n=2N+2 for L\neq -1. Then we have for the 1st case n>N and...
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8 replies | 239 view(s)
October 17th, 2017,
18:33
solakis
started a thread
triangular relations
in
Challenge Questions and Puzzles
Given a right ABC trigon with the right angle at A and two points D,E on BC such that: (BD)=(DE)=(EC) Prove: (AD)^2+(DE)^2+(AE)^2=...
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0 replies | 35 view(s)
October 11th, 2017,
18:45
solakis
replied to a thread
sequences
in
Challenge Questions and Puzzles
For n=2N+1, L\neq -1 ,then n>N and |(-1)^n-L|=|-1-L|=|1+L| So ε must be set :ε =min{|1+L|,2} I think.
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8 replies | 239 view(s)
October 9th, 2017,
19:07
solakis
replied to a thread
sequences
in
Challenge Questions and Puzzles
if n>N,then is either even or odd and not both For example if N =100 ,all the n>N are: 101 or 102 or 103 or 104 or 105 or 106 e.t.c,e.t.c And...
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8 replies | 239 view(s)
October 9th, 2017,
09:52
solakis
replied to a thread
Double induction
in
Discrete Mathematics, Set Theory, and Logic
(Wondering) Let us follow your procedure. You write: "Inductive Hypothesis: We suppose that the proposition holds for a specific $n\in...
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6 replies | 143 view(s)
October 9th, 2017,
07:05
solakis
replied to a thread
Double induction
in
Discrete Mathematics, Set Theory, and Logic
Sorry for the delay i have problems with my computer, i will answer later
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6 replies | 143 view(s)
October 3rd, 2017,
09:48
solakis
replied to a thread
Double induction
in
Discrete Mathematics, Set Theory, and Logic
Yes that is the propery,only in going from (1+m)+1 to 1+(m+1) The dropping of parenthesis is a combination of the associative and the commutative...
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6 replies | 143 view(s)
October 3rd, 2017,
06:11
solakis
replied to a thread
Double induction
in
Discrete Mathematics, Set Theory, and Logic
In going from (1+m)+1 to 1+m+1 and then to 1+(m+1) what axioms or theorems of the natural Nos do you apply??
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6 replies | 143 view(s)
October 2nd, 2017,
10:25
solakis
replied to a thread
sequences
in
Challenge Questions and Puzzles
Yes. A sequence of real Nos, x_n, converges in R iff There exists m\in R such that ,\forall\epsilon>0,there exists a natural No k,such that...
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8 replies | 239 view(s)
October 1st, 2017,
10:58
solakis
started a thread
sequences
in
Challenge Questions and Puzzles
Prove that the sequence :(-1)^n diverges by using the ε-definition of the limit of a sequence
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8 replies | 239 view(s)
September 30th, 2017,
11:13
solakis
replied to a thread
proving a formula
in
Challenge Questions and Puzzles
Sorry, A={1,2} and a is a real No
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3 replies | 99 view(s)
September 28th, 2017,
17:41
solakis
started a thread
proving a formula
in
Challenge Questions and Puzzles
Given the set {1,2},prove that there axists an a>0 such that: \forall x:x\in A \wedge |x-1|<a\Longrightarrow x=1
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3 replies | 99 view(s)
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About solakis
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About solakis
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248
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0.14
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General Information
Last Activity
Today
11:05
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Yesterday at 17:24
Last Post
October 17th, 2017 at 20:17
Join Date
December 9th, 2012
October 18th, 2017
09:38 -
lfdahl
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triangular relations
by
solakis
Given a right ABC trigon...
October 11th, 2017
18:32 -
solakis
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Re: Sequences
by
Euge
Here is my solution. ...
October 9th, 2017
10:17 -
solakis
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Trig Inequality
by
lfdahl
Show, that $5x \le...
October 4th, 2017
08:33 -
mathmari
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Re: Double Induction
by
solakis
We apply here the...
06:44 -
solakis
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Find The Sum
by
lfdahl
Evaluate the sum: ...
October 3rd, 2017
07:00 -
mathmari
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Re: Double Induction
by
solakis
Hey!! :o I am looking...
October 2nd, 2017
14:11 -
lfdahl
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Re: Sequences
by
solakis
Ok, what is that...
October 1st, 2017
14:28 -
lfdahl
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sequences
by
solakis
Prove that the sequence...
10:59 -
solakis
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Ratio of determinants
by
lfdahl
Let $a$ and $b$ be real...
September 29th, 2017
14:00 -
lfdahl
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proving a formula
by
solakis
Given the set...