1,755 karma · joined January 20, 2015
Backward error: the error between the given question, and the question whose right answer is the given answer.
Easier to parse like this: a small forward error means that you give an answer close to the right one.
A small backward error means that the answer you give is the right answer for a nearby question.
evaluate x-x to [-2, 2] (instead of [0, 0], and
evaluate x*x [-1, 1] instead of [0, 1].
Therefore the intervals become too conservative to be useful.
For the twice-larger resistor, the torque is the same, and the speed is half as fast. Can you explain why you think the torque is twice as large?
To move the 2x resistor at the same speed as the 1x resistor, you need twice the torque.
If you want streaming: https://jsonlines.org/
You get a Gaussian by repeated convolution of the same function (and normalizing the width).
The equivalent question to what I asked is what's the pdf of X1 + X2/2 + X3/4 + ...
where Xi is iid unit uniform.
rect(x) • rect(x/2) • rect(x/4) • ...
Where • is the convolution operator.
Unlike the series in the video, 1 + 1/2 + 1/4 + ... converges. So this function has compact support, and the value at 0 does not dip.
I expect it to be a https://en.m.wikipedia.org/wiki/Bump_function
That discussion has to do with the failure of SI to notate the directions of vectors. When it's torque, the N and the m are at a right angle. When it's work, they are both in the same direction.
Except in deliberate word-by-word pronunciation, "one two three" and "one to three" sound different in native US English.
Games do often promote the concept of winning and losing, however.