J'adore :shibahearteyes:
Les agriculteurs peuvent être de grands inventeurs de ce qui est nécessaire !
Ici, on trouve des mathématiques, de la physique, de l'ingénierie, du low-tech, et ... des vaches. 🐮
On peut apprécier l'utilisation d'une circonférence (C = 2πr) et la fuite de particules / nourriture par une ouverture, pour encourager un espacement équidistant des vaches essayant de manger. Tout est parfait ! #engineering#mathematics#physics#lowtech#agriculture#cows
Nancy Gradwell, left, and Bradley Johnson, 8th graders at Philadelphia's Wagner Jr High, listen intently as Mrs, Phyllis Eggleston,
mathematics teacher, explains how to use an IBM 1050 terminal to help solve homework problems, 1966.
It turns out that 2 + 2 = 4 isn't quite as simple as we were lead to believe. Having dealt with more #STEM bigots than I'd have preferred, I can vouch for the - ahem - fact that even numbers can be rather subjective.
Oh, and there are some interesting musings on #AI and #MLMs too.
for anyone needing to restock on academic books, Springer has 40% off on all English language titles for the next three weeks - using the code FALL40 #science#physics#mathematics
"The object of pure Physic[s] is the unfolding of the laws of the intelligible world; the object of pure Mathematic[s] that of unfolding the laws of human intelligence."
Educational Review, 1920
British mathematician who, with Arthur Cayley, was a cofounder of invariant theory, the study of properties that are unchanged under some transformation, such as rotating or translating the coordinate axes. via @Britannica
In #probability we often use the symbol 'p(.)' to mean some distribution, but e.g p(A) and p(B) are really different distributions since they refer to different events A and B.
What if we got rid of p altogether in writing?
(A, B) : joint of A and B
(A | B) : A conditional on B
etc.
Johann Heinrich Lambert was born #OTD (or 28) in 1728.
Lambert was the first to introduce hyperbolic functions into trigonometry. He invented the first practical hygrometer. In 1760, he published a book on photometry. In Neues Organon, he studied the rules for distinguishing subjective from objective appearances, connecting with his work in optics. And he published his version of the nebular hypothesis of the origin of the Solar System.
"By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect, increases the mental power." – Alfred North Whitehead (1861–1947) #quote#mathematics#math#maths#notation
“Every formula we discover is a formula of love.” Mathematics is the source of timeless profound knowledge, which goes to the heart of all matter and unites us across cultures, continents, and centuries. My dream is that all of us will be able to see, appreciate, and marvel at the magic beauty and exquisite harmony of these ideas, formulas, and equations, for this will give so much more meaning to our love for this world and for each other.
—Edward Frenkel, Love and Math: The Heart of Hidden Reality #mathematics
A vexing habit of #IT practice book authors (the non-academic types) who dabble in #FP is their propensity to invent their own seemingly "intuitive" terms for long-established concepts of #mathematics: monoid, functor, applicative, monad, category, ....
Good analogies are acceptable in instruction, and incisive examples more so. But usurping existing, general mathematical concepts by anointing them with one's own concocted lay terms is uncomely. Such conduct pollutes the namespace.
The reason why a mathematical term seems aloof is because its inventor (a bona fide mathematician) struggled, long and hard, to abstract out a fundamental, general concept from many specific instances.
The least we should do is to study the general principle the mathematician worked hard to uncover. Trying to displace that established, general principle with dumbed-down, specialised, lay terms is just rolling back progress.
Senior scientists who sit on NIH study sections, apropos of nothing in particular: when you evaluate an application for funding, how much consideration do you give to the broader research and intellectual environment of the applicants' institution?
If an established R1 institution does something like, say, eliminate its mathematics graduate program, does this impact your assessment of the institution's ability to successfully host the proposed research? If you saw an application for neuroscience research project with a computational component to the project, would the school's loss of mathematics PhD students impact your opinion of the relevant intellectual environment sufficient to affect your scoring of this portion of the application, even if none of the named investigators are directly associated with the math department?
He was one of the first to state and rigorously prove theorems of calculus, rejecting the heuristic principle of the generality of algebra of earlier authors. He single-handedly founded complex analysis and the study of permutation groups in abstract algebra. He wrote approximately 800 research articles and five complete textbooks on a variety of topics in the fields of mathematics and mathematical physics. via @wikipedia