But Can You Quantify It?

Given a function f(x) which is continuous on an interval [a,b] & differentiable on its interior, the Mean Value Theorem guarantees there exists a value c in that interval such that the line tangent to the function when x = c is parallel to the line drawn between ( a , f(a) ) and ( b, f(b) ). (GIF Description: A function f(x) is plotted from x = a to b, and a red line is drawn b/w its endpoints at ( a , f(a) ) & ( b , f(b) ). A point tracing f(x) carries a compass that records the tangent’s slope relative to the red line. When their slopes are equal, x is labeled c. In the first GIF, the function has a single maxima. In the second GIF, the function has multiple extrema.)

(GIF Description: The graph of a function f(x) as it ranges from x = a to x = b. Per frame, an output value y between f(a) and f(b) is shown to intersect the curve f(x) for some x = c. As the GIF animates, y sweeps across the range of f(x) and indicates a value of c for every y.)

(GIF Description: Like the first GIF, except now the function leaves the range defined by the endpoints of the domain.)

the unexpected joy of the worst summer of our lives by christine mi for vox

me hyping myself up before logging in to start the zoom meeting: i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal i’m normal

Transitions to Higher Math professor (via mathprofessorquotes)

I’m waiting for the corner protectors to come in to cover up some not-quite-excellent corner work, but all in all I’m very happy about this new hobby. Rebinding books is a seriously valuable skill for a person in academia. I’m about to make some printed, older-edition-of-textbooks-that-are-out-of-copyright PDFs look SO GOOD, heck yes.  

I’m waiting for the corner protectors to come in to cover up some not-quite-excellent corner work, but all in all I’m very happy about this new hobby. Rebinding books is a seriously valuable skill for a person in academia. I’m about to make some printed, older-edition-of-textbooks-that-are-out-of-copyright PDFs look SO GOOD, heck yes.  

And, yes, that’s the mock up for the coverplate of the TDA book in the lower right corner. 

wat u do??

— John Horton Conway

Shopping for groceries late at night, the grad student minimizes his exposure to other people.

Original: by Daniel Martin Diaz

He also wrote a linear algebra textbook, here. 

There are so many more tidbits like this and I wish literally all of my textbooks could be written like this.