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Differential form. In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics.
Today's Wordle Answer for #1096 on Wednesday, June 19, 2024. Today's Wordle answer on Wednesday, June 19, 2024, is TERSE. How'd you do?
Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more ...
After years of investing in self-checkouts, Five Below, Dollar General and others are refocusing on human cashiers, citing long-running concerns about lost inventory.
Whatever NBA theatrics do come — once the clock strikes 6 p.m. ET, once free agents can begin contact with prospective teams, once several more trades shake the league’s landscape like a snow ...
When the direction of a Euclidean vector is represented by an angle , this is the angle determined by the free vector (starting at the origin) and the positive -unit vector. The same concept may also be applied to lines in a Euclidean space, where the angle is that determined by a parallel to the given line through the origin and the positive x ...
For employers, this means CEOs enforcing old-guard company practices, like having employees work in-person and discouraging time off, because it’s a model that has worked in the past.
In a local coordinate system, a one-form is a linear combination of the differentials of the coordinates: where the are smooth functions. From this perspective, a one-form has a covariant transformation law on passing from one coordinate system to another. Thus a one-form is an order 1 covariant tensor field .
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