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solakis
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Today,
19:19
solakis
replied to a thread
Limits of Sequences ... Stoll Theorem 2.2.6
in
Analysis
In going from: \frac{1}{ n^p } \lt \epsilon to n \gt \frac{1}{ \epsilon^{ \frac{1}{ p } }} What are the axioms or theorems or definitions of...
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4 replies | 77 view(s)
Today,
06:30
solakis
replied to a thread
Solve the equations
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Challenge Questions and Puzzles
how do you know that this the only real solution?? For e.g the equation: ax+b=c ,has a solution : x =c-b/a ,a different to zero. But we can...
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3 replies | 146 view(s)
Yesterday,
21:14
solakis
replied to a thread
Ordering on the Set of Real Numbers ... Sohrab, Exercise 2.1.10 (1) ...
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Analysis
The 1st part of your proof is correct but not complete For the 2nd proof Proof: 1)...
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2 replies | 63 view(s)
Yesterday,
20:50
solakis
replied to a thread
Ordering on the Set of Real Numbers ... Sohrab, Exercise 2.1.12 ...
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Analysis
To prove 2>0 ,you need the definition : 1+1=2 Then having the above definition and that 1>0 we have: 0<1 and 0<1 =>...
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2 replies | 47 view(s)
Yesterday,
20:03
solakis
replied to a thread
Ordering on the Set of Real Numbers ... Sohrab, Exercise 2.1.10 (b) ...
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Analysis
Yes it is But , 1^2 = 1 \cdot 1 = 1 ... ... by Field Axiom M3, is not only by M3 You have to use the rule of exponents as well Anyway the...
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5 replies | 96 view(s)
Yesterday,
19:27
solakis
replied to a thread
Ordering on the Set of Real Numbers ... Sohrab, Exercise 2.1.10 (c) ...
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Analysis
Yes it is
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3 replies | 80 view(s)
Yesterday,
19:11
solakis
replied to a thread
Limits of Sequences ... Bartle and Shebert, Example 3.4.3 (b) ...
in
Analysis
c>1\Longrightarrow lnc>ln1\Longrightarrow lnc>0\Longrightarrow\frac{1}{n}lnc>0\Longrightarrow lnc^{\frac{1}{n}}>ln1\Longrightarrow c^{\frac{1}{n}}>1
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August 23rd, 2017
06:28 -
solakis
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Re: Solve the equations
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Albert
Find all the real...