Tag Archives: matrices

How to multiply matrices

This is for my homies in math class. Mathematical matrices are blocks of numbers, arrayed in 2-D. (Higher-dimensional arrays are called tensors.) Left “times” right equals target. Each entry in the target is the result of a series of +’s … Continue reading

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Determinant

A matrix ℳ represents a sequence of + and × operations. At the end you’ve linearly transformed a space (sheared it, expanded it, rotated it — but kept the origin where it is.) Did the amount of stuff in the picture change when you … Continue reading

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What is an eigenvector?

The eigenvectors of a matrix summarise what it does. Think about a large, not-sparse matrix. A lot of computations are implied in that block of numbers. Some of those computations might overlap each other—2 steps forward, 1 step back, 3 steps … Continue reading

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In the loop quantum gravity approach, space-time is quantized by a procedure that encodes it in a discretized structure, consisting of spin networks and spin foams. A spin network consists of an oriented embedded graph in a 3-dimensional manifold with … Continue reading

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Vierergruppe

Any four things in order ABCD can be rearranged. You could do ACBD — middle swap — 1324 DBCA — end swap — 4231 BCDA — rotation — 2341 for example. Let’s say the four things are the four corners … Continue reading

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This is the best quant finance book I’ve yet read.  The symbols on the cover may look daunting, but the text actually keeps notation simple.  Many topics are covered quickly and accessibly; this is a math book you can actually … Continue reading

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