Recent content by Coolster7

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    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?
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    Factorisation Theorem for Sufficiency

    Ah I see, thanks for this I understand now.. it's simple really.
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    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...
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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.
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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...
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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.
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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...
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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...
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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...
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