Women have contributed much less to the physical sciences than men. It’s depressing and it’s glaring and it almost poisons any discussion of the history of, say, physics or mathematics.
Suppose you accept, as I do, that to the best of our knowledge the sexes are equal in intrinsic ability to do science. That leaves a hierarchy of possible explanations:
(1) Women contribute as much as men, but their contributions are not acknowledged.
(2) Women would be able to contribute as much as men, but they are squeezed out of the profession.
(3) Women would be able to contribute as much as men, but too few end up with the right education and career goals.
In the heat of discussion you will hear people claim that it’s all about (1) and (2), or even just (1). In fact, (3) is the biggest explanation, and it is here that we must hope for truly large-scale changes in the future.
[30 November 2017]
Algebraic geometry is the purest of pure branches of mathematics, concerned with the intrinsic structure of functions. Its central tool is polynomials, which constitute the very special case of functions you can “write down”.
Chebfun is the most practical of practical branches of mathematics, concerned with machine computing with functions. And its central tool is polynomials too! Mine is the kind of mind that needs to know, are algebraic geometers and Chebfunners interested in polynomials ultimately for the same reason, or different?
I think they are different. The starting point of algebraic geometry is that, given a function f and a point a, there is a polynomial that exactly matches f and its derivatives at a. The starting point of Chebfun is that, given a function f and an interval [a,b], there is a polynomial that approximately matches f on [a,b] to any prescribed accuracy.
[9 October 2014]
Some maxims seem so natural one assumes they must have been expressed many times before. Here are two that I’ve shared with Emma and Jacob at various ages.
For cyclists (or drivers, or skiers):
Never do anything surprising.
In the restaurant (or the bar, or at home):
Never drink when you’re thirsty.
[6 January 2018]