Chatgpt is great for finding precise answers to questions. Helped me solve one of the
great mathematical mysteries in my life by locating just the helpful answer:
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On Matplotlib, I keep looking up the same things all the time when it
comes time to style the plot. So i have decided to take a simple example
of a plot from YouTube and style it for the most obvious elements. Below:
https://youtu.be/K6eGR3inAm0?si=A0N0RSU2bluqLBpt
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This week's Pygame tutorial segment showed how to use collision detection.
It's actually simple, there is a function that detects it (on the encirling rect box).
Here, the collided with goes to a new random position...
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Some brave soul on an Internet forum shared the formula
for calculating complex exponents of the form (a + bi).
It is your number (x^a)*(x^bi). Below, a worked through
example.
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I'm starting to feel more comfortable around complex numbers. We
are encouraged to remember that Descartes - discussing false roots -
scoffed at 'imaginary numbers'. i for us is the imaginary constant -sqrt(-1),
but far from useless.
So the square root of a negative number may seem daunting, but in fact
one needs to consider what is happening in the larger situation. Below,
my function1 on the Cartesian plan is but 1 away from from touching the
x-axis. If I subtract 1, voilà . My function is perfectly usable.
So, someone working at the local supermarket sees on the shelve a box
of bottles of wine, and a lone bottle of the product next to it. If the label says
'contains 9', he is looking at a 3x3 container...
Next to it, a cubic case of lettuce, containing 64 but missing 4...
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Not all graphers allow one to do it, but Desmos does. I am graphing quadratic
equations sideways by inverting the variables...
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