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More precisely, a bivector that can be expressed as an exterior product is called simple; in up to three dimensions all bivectors are simple, but in higher dimensions this is not the case. [4] The exterior product of two vectors is alternating , so a ∧ a is the zero bivector, and b ∧ a is the negative of the bivector a ∧ b , producing the ...
Most codes of football from before 1863 provided only one means of scoring (typically called the "goal", although Harrow football used the word "base"). [7] The two major exceptions (the Eton field game and Sheffield rules, which borrowed the concept from Eton) both used the "rouge" (a touchdown, somewhat similar to a try in today's rugby) as a tie-breaker.
A player doing a keepie-uppie Association football (more commonly known as football or soccer) was first codified in 1863 in England, although games that involved the kicking of a ball were evident considerably earlier. A large number of football-related terms have since emerged to describe various aspects of the sport and its culture. The evolution of the sport has been mirrored by changes in ...
After the Sept. 24 game and the flurry of clips of Swift in attendance, TikTok was overwhelmed with guides to the 32 teams of the NFL, the rules of football and major players to know about in the ...
A two-vector or bivector [1] is a tensor of type () and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars). The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of ...
In the study of geometric algebras, a k-blade or a simple k-vector is a generalization of the concept of scalars and vectors to include simple bivectors, trivectors, etc. Specifically, a k-blade is a k-vector that can be expressed as the exterior product (informally wedge product) of 1-vectors, and is of grade k. In detail: [1] A 0-blade is a ...
The First Four of the NCAA Tournament is here. Here's what to know of the games, including history and all-time scores from March Madness' play-in round.
The first spread Andrews comes to for an NFL game is simple math, using the power ratings: If Team A is 90, Team B is 91 and at home with a 2.5-point home-field advantage, the line is Team B -3.5.