Recent content by Nancarrow
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Undergrad What Does a 2x2 Matrix Represent in Vector Spaces?
Matrices really come from the idea of vector spaces. A matrix is a "representation of a linear transformation on a vector space, in a given system of coordinates". That's a bit of a mouthful, so in simplified terms: Imagine your ordinary 2D plane with a cartesian system of co-ordinates. Any...- Nancarrow
- Post #3
- Forum: Linear and Abstract Algebra
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High School Origin of y=mx+b: Explaining Slope & Y-Intercept
And in Britain, 'b' is called 'c'!- Nancarrow
- Post #6
- Forum: General Math
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Graduate Does this forum include euclidean geometry?
Wow. Do American high schools teach Euclidean geometry with a postulational approach? That's so cool. I'm from the UK and I'm pretty sure that back at school, geometry was mostly just a set of rules to learn and apply. My first contact with Euclid was when I bought the books a couple of years...- Nancarrow
- Post #2
- Forum: General Math
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What to do to eliminate Procrastination and Perfectionism?
I'll tell you next week. (seriously, I have the same, I've been feeling **** about it for the last, oh I dunno, ten years, and can't seem to snap out of it. Yet somehow, life stumbles on and so does mine.)- Nancarrow
- Post #2
- Forum: STEM Career Guidance
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Which branch of physics holds the most mathematics
Dunno about MOST maths, but I found quantum mechanics had the HARDEST maths... and that was only the basic stuff, not even QED.- Nancarrow
- Post #4
- Forum: STEM Academic Advising
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Undergrad Energy Conservation: Kinetic Energy After Collision
Except that it isn't true. Er, sorry, I meant: EXCEPT THAT IT ISN'T TRUE. -
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Undergrad Does a Charge on a Closed Surface Contribute to Electric Flux?
If a charge was on the surface, the flux would be undefined at that point (since the field itself is undefined at the charge itself)- Nancarrow
- Post #4
- Forum: Electromagnetism
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What geometrical shapes can you see in the picture?
Hi Dave. You've got to use all sorts of theorems about angles that you've learned by now... as in, facts that allow you to work out one angle given another. What geometrical shapes can you see in the picture? What facts do you know about angles in those shapes? ETA: huh, just noticed the...- Nancarrow
- Post #5
- Forum: Precalculus Mathematics Homework Help
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C Book Recommendations for High School Students
Just to elaborate, KTC is talking about https://www.amazon.com/dp/0131103628/?tag=pfamazon01-20. I agree with that choice. It's the standard book on C, as in 'standard against which other books are judged'. It's small. Only thing is it might be a bit terse if you've never done any programming...- Nancarrow
- Post #4
- Forum: Programming and Computer Science
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Mathematica The Greatest Mathematical technique-tell me
Not so much a technique as a notation for me. Specifically, positional notation with zeroes, for representing numbers and doing basic arithmetic with them. What do you get if you multiply XXXVII by LXIV? I don't know, and I'm sure as hell not going to find out! Also as I've started...- Nancarrow
- Post #6
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Programs How to get degree equivalent knowledge without school:
Wow, talk about wanting to run before you can walk! Or in this case, wanting to pilot an interstellar spacecraft before you can walk... Okay, I'm pretty sure that if you want a PhD, you really must have a masters degree first. And if you want a masters you need a bachelors first. So get a...- Nancarrow
- Post #4
- Forum: STEM Academic Advising
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High School Is This Equation Solvable: 2*x^2*(x-2)^2 = x+1?
When you have a complicated-looking equation, you should use whatever knowledge you have of algebraic manipulations, to simplify it. Multiply out brackets... collect like terms... eventually you'll be able to put it into a form that you recognise. Also I think your question should go in...- Nancarrow
- Post #2
- Forum: General Math
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Graduate How Do Symmetrical Base n and Base m Decimals Relate?
It seems to me that you're supposed to spot the weird symmetry in the numbers here. '7373', '3737', '5252', '2525'. HallsofIvy outlines a general method of solving this problem when the given numbers have no special pattern, but fk only knows how you'd solve those simultaneous equations! My...- Nancarrow
- Post #5
- Forum: Linear and Abstract Algebra
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What's the fastest way to increase file size?
Hmm. I keep hearing on the net, over and over again, that one overwrite isn't good enough, that 'some trace' of your data remains, and that professional data recovery firms and/or the NSA can recover the files. As someone dipping their toe into information theory at the moment, this sounds a bit...- Nancarrow
- Post #10
- Forum: Programming and Computer Science
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31 going on 32 too late for a career change?
Er, you sure about that? Job changes... sure. But career changes?- Nancarrow
- Post #11
- Forum: STEM Career Guidance