Recent content by basil
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Undergrad Prove that area under curve by rectangle is less than integration
Oh yes, its \frac{1}{x} Nevertheless, the explanation was beneficial. Thanks guys. -
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Graduate Deducing Irrational Identity - a1=a2 & b1=b2?
Hey guys, I see now...Thanks! Appreciate it.- basil
- Post #5
- Forum: General Math
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Undergrad Recurrence formula in Pell's equation
Awesome. Thanks heaps.- basil
- Post #6
- Forum: Linear and Abstract Algebra
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Undergrad Recurrence formula in Pell's equation
Hey, Yep its my mistake. Its supposed to be x2-y2=1 Thanks for pointing out.- basil
- Post #5
- Forum: Linear and Abstract Algebra
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Undergrad Recurrence formula in Pell's equation
Hello, I am trying to solve a Pell's equation X2 + 2Y2 =1 I understand that the (3,2) is a fundamental solution to the equation. However, I am having difficulty to obtain the recurrence formula in order to generate further solutions. Can anybody help?- basil
- Thread
- Formula Recurrence
- Replies: 6
- Forum: Linear and Abstract Algebra
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Graduate Deducing Irrational Identity - a1=a2 & b1=b2?
How do you deduce that a1 - \sqrt{N} b1 = a2 - \sqrt{N}b2 to be a1=a2 and b1=b2?- basil
- Thread
- Identity Irrational
- Replies: 5
- Forum: General Math
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Undergrad Prove that area under curve by rectangle is less than integration
hi all, I am suppose to compare the area of curve y=x2 with rectangles beneath that curve to show that, 1/2 + 1/3 + ...+ 1/n < log(n+1) i believe this some sort of harmonic series. Is there a way around this problem? Regards -
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Undergrad Power 4 equation to Quadratic factors
Hi, I have a problem with splitting x4 + 1 into real quadratic factors. How can this be done? Cheers.- basil
- Thread
- Factors Power Quadratic
- Replies: 5
- Forum: General Math