Recent content by isthereaspoon

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    Undergrad Finding the Pattern of Triangular Set of Numbers

    thanks, it is simply hard.
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    Undergrad Finding the Pattern of Triangular Set of Numbers

    I have encountered such a triangular set of numbers: 1 -8 -7 28 -16 9 -56 -65 -22 -7 70 112 51 4 1 Apart from the obvious first column being (x-1)^8, what can you find for other columns?
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    Graduate What is an invert transform and how does it relate to the hankel transform?

    Oh, I am sorry that I have spamed.. but I have figured out the answer... from Online Encylopedia of Integer Sequence website.. it is b_n=1/(1+\sum_i^na_ix^i) , pretty cool...
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    Graduate What is an invert transform and how does it relate to the hankel transform?

    Guys, could anyone tell me what is an invert transform by definition, I simply cannot find any source about it. It is one kind of the transform that preserves the hankel transform; the other one is Binomial transform. Thanks!
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    High School Is Earth's Rotation Really Slowing Down?

    it is due to a transfer of Earth's rotational momentum to the Moon's orbital momentum as tidal friction slows the Earth's rotation. for the sun, I believe it is the same.