A Quote by John Edensor Littlewood
The first test of potential in mathematics is whether you can get anything out of geometry.
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I constantly meet people who are doubtful, generally without due reason, about their potential capacity [as mathematicians]. The first test is whether you got anything out of geometry. To have disliked or failed to get on with other [mathematical] subjects need mean nothing; much drill and drudgery is unavoidable before they can get started, and bad teaching can make them unintelligible even to a born mathematician.
Whenever there's a big story with vast potential to get social media content and find out what's happening, your first object is to prod into that and then test it to see whether it's valid. If you don't do the second part, you're basically a bilge pump.
Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?
Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry's little corner of it. Pi occupies a key place in trigonometry too. It is intimately related to e, and to imaginary numbers. Pi even shows up in the mathematics of probability
If I died, would it get me out of my geometry test tomorrow? One could only hope.
One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.
There was a blithe certainty that came from first comprehending the full Einstein field equations, arabesques of Greek letters clinging tenuously to the page, a gossamer web. They seemed insubstantial when you first saw them, a string of squiggles. Yet to follow the delicate tensors as they contracted, as the superscripts paired with subscripts, collapsing mathematically into concrete classical entities - potential; mass; forces vectoring in a curved geometry - that was a sublime experience. The iron fist of the real, inside the velvet glove of airy mathematics.
The moment the alarm goes off is the first test; it sets the tone for the rest of the day. The test is not a complex one: when the alarm goes off, do you get up out of bed, or do you lie there in comfort and fall back to sleep? If you have the discipline to get out of bed, you win - you pass the test.
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.
If you don't perform, and you're part of the team, whether you're playing your first Test or 50th Test match, criticism goes hand in hand, so that's something you can't really get away from. If you don't perform, you will be criticised.
Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
You should have to pass an IQ test before you breed. You have to take a driving test to operate vehicles and an SAT test to get into college. So why don’t you have to take some sort of test before you give birth to children? When I am President, that’s the first rule I will institute.
Any time you get a new running back, whether it's a rookie or hasn't played a lot, that's the first thing you test, is their pass protection. That's big.
Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then suchand such another proposition is true of that thing.... Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
The first time you go on holiday is the test of a relationship, when you really find out if you're compatible or not. You find out what's annoying about that person, and whether or not you're willing to put up with that because you love them and you don't want to be alone.
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