Recent content by xponential

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    Cannot stand the eternity in cyclic models

    Cyclic models don't explain eternity but they imply it. I don't see how eternity is even naturally possible. If there is infinite cycles of the universe before the current one in which we live in, our current cycle should never have happened since an INFINITE number of cycles before it should...
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    Cannot stand the eternity in cyclic models

    Are you implying there is no causation between a cycle and another? Are the future events already happened? Do you know of a source that illustrates this idea? I searched for cyclic models but didn't find a clear explanation about eternity.
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    Cannot stand the eternity in cyclic models

    I have had this question for a long time and thought this forum might be the best place to answer.. If there is an infinite number of bangs happened before the big bang, our universe's bang should never have happened because it would require an endless number of bangs that -by definition- would...
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    Decomposing a positive semi-definite matrix

    Thanks Ray .. I actually know about using Cholesky's in MATLAB .. however .. as in the example I provided .. I am required to find L such that it is (30x800) matrix instead of (800x800).
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    Decomposing a positive semi-definite matrix

    Homework Statement if M is dxd positive semi-definite matrix, then: M = L'(or L transpose) * L where L is a matrix of dimensions rxd How can I get L given M and the number of rows, r? for example, if M is 800x800 p.s.d, I want L such that it is a 30x800 matrix and so M (800x800) = L'...
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    Is proving conjectures such a big deal?

    Since the vast majority of the conjectures have either been finally proven true or not proven false. I don't think there are many examples of conjectures that have deluded mathematicians for decades but turned out to be false. What benefits or implications did we get from proving Fermat's...
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    Is the distance relative also?

    I think it should be, then, the shorter value. JDługosz & Ich, thank you very much for the clarification.
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    Is the distance relative also?

    From the special theory of relativity, I understand that time is not absolute but relative according to the speed of observer. For instance, suppose there are two watches, one put inside a spaceship which rotates the Earth and the other is just stationed on Earth and both of them are...
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