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    Some remarks on complex numbers

    The complex numbers are a very important aspect of mathematics. They are utilized often in Analysis (obviously), Mathematical Physics, Algebra, and Number Theory (I am not certain about Geometry/Topology). There was a problem that was solved in the 19th century: Can one construct a square...
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    Determining a formula for a (sub)sequence

    The sequence is the set of n's where | ∑_{k=0}^{n} a_{k}z^{k} | is a local maximum in the sequence of the magnitudes of partial sums (the partial sums are complex valued).
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    Determining a formula for a (sub)sequence

    I currently have the first 125,256 terms of a sequence of natural numbers. I need to find a formula for any non-finite sub-sequence. Are there any good methods for obtaining such a formula? I can already say that it isn't a linear distribution, and I highly doubt it being polynomial (although...
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    Question: are there proportions in infinity?

    Yes, but it is still debated between many people (I personally am on the side of different sizes of infinity).
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    Question: are there proportions in infinity?

    Some people say infinity is infinity. There is nothing greater than infinity not even infinity + 1. But, others argue that there is a greater infinity of real numbers between 0 and 1 than there are integers between 0 and infinity. It is all how you interpret it.
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    Can there be ratios using different sizes of infinities?

    In application (if this is even possible), it would be so close to 0, they would consider it 0%, but the real issue is, this is a limit & infinite series problem as chiro says. The chances of picking any specific number would approach 0. Check out / review the Infinite Series (with rieman sums)...
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    Is all math essentially: Solve for x?

    Although many math problems will ask you to solve one or more variables, while in class, it is about understanding WHAT that variable means. What each variable you used on the way means. Math in the higher levels is more about understanding what it represents (as well as solving for x). - For...
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    Determinants of matrices greater than 3x3

    At the moment, it is the ONLY method I have learned. (I am self-teaching myself Multidimensional Mathematics until classes start in 3 weeks).
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    Determinants of matrices greater than 3x3

    By chance, could you give an example of how to do row operations to find the determinant?
  10. S

    Determinants of matrices greater than 3x3

    I am wondering how one would find a the determinant of a 4x4 or greater. This isn't an urgent question, just a curiosity.
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