Tag Archives: metric

[T]he point of introducing L^p spaces in the first place is … to exploit … Banach space. For instance, if one has |ƒ − g| = 0, one would like to conclude that ƒ = g. But because of the … Continue reading

Quote | Posted on by | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

B*tchin’ six dimensional 6-cube. The rainbow colours and glass panes really help this visualisation.  Examples of 6-dimensional things If it’s hard to envision 6 dimensions, consider this: the possible tunings of a guitar constitute a 6-dimensional space. You can tune to EADGBE (standard), … Continue reading

Video | Posted on by | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Noncommutative distances between industries

The distance from your house to the grocery must be the same as the distance back, but 20th-century mathematicians speculated about circumstances where this might not be the case. Very small-scale physics is non-commutative in some ways and so is … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

The Hotness Scale

One example of a total ordering ≤ is the “hotness” scale from 1–10. Because of the widespread disagreement about the meaning of the numbers, the only thing one can infer based on a man’s rating of a woman is that … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Unmeasurable Distances

I wrote earlier about the many different ways to measure distance. One way I didn’t include is unmeasurable distance. Sometimes A is tastier, sexier, cooler, more interesting, or otherwise better endowed than B … but it’s impossible to quantify by … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , , , , , , , , , , , , , , | Leave a comment

Circles

A circle is made up of points equidistant from the center. But what does “equidistant” mean? Measuring distance implies a value judgment — for example, that moving to the left is just the same as moving to the right, moving forward … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , , , , , , , , , , , | Leave a comment

The Jesus Norm

They say unto him, Rabbi, this woman was taken in adultery, in the very act. Now Moses in the law commanded us, that such should be stoned: but what sayest thou? This they said, tempting him, … they continued asking … Continue reading

Posted in Uncategorized | Tagged , , , , , , , , , , , , , , , , , , , , | Leave a comment