Recent content by Ronald_Ku

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    Multiplication of conditional probability with several variables

    I have another question. if the above equations are needed to be considered with the following equation. p(w|X, T, α, β) ∝ p(T|X,w, β)p(w|α).------(a) α, β are fixed. The left hand side p(w|X,T) is posterior probability. The right hand side p(w) is the prior probability. So X,T are random...
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    Multiplication of conditional probability with several variables

    Thanks so much.I may try to proceed in this direction and see if anything weird occur again.
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    Multiplication of conditional probability with several variables

    Let me clarify what you mean: in the expression p(x|m,n), it is not necessary that m and n are random variable. They can be parameters. Whether one is a random variable depend on the setting of the experiment,right? IN your case, k can be random variable and p(x,k) means getting a x at random...
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    Multiplication of conditional probability with several variables

    It is in the introduction chapter of the book and is talking about polynomial curve fitting. X,T refer to a training set while t refers to the predicted point at position x W refers to the set of parameters of M-order polynomial, that y(x,w) = w0 + w1*x + w2*x^2 + . . . + wM*x^M it...
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    Multiplication of conditional probability with several variables

    yes you are correct. what I mean is P(x,y|z)=P(x|y,z)P(y|z)
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    Multiplication of conditional probability with several variables

    Dear All, I am a starter to machine learning and i am currently confused about the following problem: what is the result of P(X|Y)P(Y|Z)? In my book, it is written to be P(X|Z). But I don't think it is correct since P(X|Z)= P(X|Y,Z)P(Y|Z) But clearly P(X|Y)=/= P(X|Y,Z) Assuming...
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    Why do Spherical Non-Oscillating Bubbles Dissolve in Saturated Liquids?

    I'm very sorry that I cannot find your understandings in the article. Could you state more clearly where i can find them?
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    Why do Spherical Non-Oscillating Bubbles Dissolve in Saturated Liquids?

    That means the reason for a bubble dissolves does not depend on whether it is oscillating? That's something about rectified diffusion?
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    Why do Spherical Non-Oscillating Bubbles Dissolve in Saturated Liquids?

    I 'm now studying sonoluminescence. The book is written by Ronald Young(2005). In the part of rectified diffusion in chapter 1, it is said that " The surface tension segma of th eliquid will always cause a pressure 2segma/R that adds to the partial gas pressure inside the bubble in...
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    Why do Spherical Non-Oscillating Bubbles Dissolve in Saturated Liquids?

    Spherical non-oscillating bubbles in a saturated liquid always tend to dissove, why? If the pressure is already balanced, why the bubbles dissolve? Is it due to the diffusion of gas? If all things are in balance, will bubbles still dissolve? Thanks for help.
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    Diffraction of water wave vs diffraction of light wave

    Let say a board is placed at distance d from the slit. We should find alternative dark and bright fringes there. Let's consider the first dark fringe. From the theory, point sources at the slit can pair up. For each pair, their wavelets will cancel each other at the dark fringe. Therefoe if...
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    Diffraction of water wave vs diffraction of light wave

    Also, I want to ask about the diffraction of light from single slit. In theory, the single slit is regarded to have many strips(point sources) By pointing different angles, the point sources can pairing up to cause some places at a distance d apart dark fringe. However, from the theory, it is...
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    Diffraction of water wave vs diffraction of light wave

    Do constructive and destructive interference occur also in diffraction of water waves by single slit?
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    Diffraction of water wave vs diffraction of light wave

    Why isn't there fringes in diffraction of water wave but bright and dark fringes in the diffraction of light wave?
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    Question on general principle of relativity

    No I'm a chinese. I'm using the edition translated to chinese. I just translate all the words I read to english. Besides I still don't see what you mean.
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