Recent content by Coolster7
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Graduate Factorisation Theorem for Sufficiency
Anyone?- Coolster7
- Post #5
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Factorisation Theorem for Sufficiency
Actually just one more question. What about n? Would n need to be sufficient for the parameter or is it treated as constant/number?- Coolster7
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Factorisation Theorem for Sufficiency
Ah I see, thanks for this I understand now.. it's simple really.- Coolster7
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Convergence Proof: Show {n2 - n + 5} Increasing & {xn} Convergent
wrong topic post sorry- Coolster7
- Post #5
- Forum: Calculus and Beyond Homework Help
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Graduate Factorisation Theorem for Sufficiency
I'm having trouble with applying this theorem to likelihood functions in order to obtain a sufficiency statistic for the relevant variables. _________________________________________________________________________________________ The factorisation theorem being: Under certain regularity...- Coolster7
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- Theorem
- Replies: 4
- Forum: Set Theory, Logic, Probability, Statistics
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Polynomial Algebra: Show Alpha is Power of Prime p
Thanks for your help. So because alpha divides p^n this means alpha is also a power of p I'm assuming.- Coolster7
- Post #4
- Forum: Calculus and Beyond Homework Help
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Polynomial Algebra: Show Alpha is Power of Prime p
Homework Statement Let f(x) = anxn + an-1xn-1 + ... + a1x + a0 be a polynomial where the coefficients an, an-1, ... , a1, a0 are integers. Suppose a0 is a positive power of a prime number p. Show that if \alpha is an integer for which f( \alpha ) = 0, \alpha is also a power of p. Homework...- Coolster7
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- Algebra Polynomial
- Replies: 4
- Forum: Calculus and Beyond Homework Help
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Synthesis of ferrocene based macrocycles
I need to give a synthetic route starting from ferrocene to get to that compound in the picture -
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Lab report - How to write better lab reports in chemistry?
Try setting out a lab report like this: Date/Title with page numbers Begin with COSHH risk assessment (R phrases and S phrases to show you know what's going on) Table of molecular weights, quantities, densities, structure and molar equivalents Reaction Scheme Write up procedure (mention... -
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Synthesis of ferrocene based macrocycles
I've been asked to synthesise this ferrocene based macrocycle (shown in picture below) starting from ferrocene and other available materials from Aldrich. I need to make sure molar equivalents are spot on with reagents. Can anyone help please? -
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What is a Basis of a Vector Space and How to Find Another Basis?
So you could have B' = (1+z, 1+z^2, 1+z^3, 1+z^4, 1+z^5) for example or would this not work because the highest degree for R4[z] is 4? Thanks for your reply.- Coolster7
- Post #3
- Forum: Calculus and Beyond Homework Help
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What is a Basis of a Vector Space and How to Find Another Basis?
Homework Statement There is a standard basis, B = (1; z; z^2; z^3; z^4) where B is the basis of a R4[z] of real polynomials of at most degree 4. I need to find another basis B' for R4[z] such that no scalar multiple of an element in B appears as a basis vector in B' and also prove that...- Coolster7
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- Basis Space Vector Vector space
- Replies: 3
- Forum: Calculus and Beyond Homework Help
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Finding total length of a parametric curve
Thanks for the reply. I realized that I could use the substitution u^2 = 9cos^4(t)sin^2(t) + 9sin^4(t)cos^2(t) Now taking out a factor of 9sin^2(t)cos^2(t) gave me: u^2 = 9sin^2(t)cos^2(t) (cos^2(t) + sin^2(t)) and now you can use that cos^2(t) + sin^2(t) = 1 which now leaves...- Coolster7
- Post #3
- Forum: Calculus and Beyond Homework Help
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Finding total length of a parametric curve
Homework Statement Find the total length of the curve t --> (cos^3(t), sin^3(t)), and t is between 0 and ∏/2 where t is in radians. Find also the partial arc length s(t) along the curve between 0 and ∏/2 Homework Equations The length is given by: S = ∫\sqrt{xdot^2 + ydot^2} dt...- Coolster7
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- Curve Length Parametric
- Replies: 3
- Forum: Calculus and Beyond Homework Help