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The vector of coordinates forms the coordinate vector or n-tuple (x 1, x 2, …, x n). Each coordinate x i may be parameterized a number of parameters t. One parameter x i (t) would describe a curved 1D path, two parameters x i (t 1, t 2) describes a curved 2D surface, three x i (t 1, t 2, t 3) describes a curved 3D volume of space, and so on.
p ↦ q p for q = 1 + i + j + k / 2 on the unit 3-sphere. Note this one-sided (namely, left) multiplication yields a 60° rotation of quaternions. The length of is √ 3, the half angle is π / 3 (60°) with cosine 1 / 2 , (cos 60° = 0.5) and sine √ 3 / 2 , (sin 60° ≈ 0.866). We are therefore dealing with a ...
parameter name what it does delimiter: string to delimit multiple values when given. default to colon ( : ). normally you do not want to touch this, it's provided for the off-chance you'll want to use colon as part of one of the parameters.
First, select two points A and B in the moving body and locate the corresponding points in the two positions; see the illustration. Construct the perpendicular bisectors to the two segments A 1 A 2 and B 1 B 2. The intersection P of these two bisectors is the pole of the planar displacement. Notice that A 1 and A 2 lie on a circle around P ...
Fresh off winning the NBA Cup, Damian Lillard is joining an exclusive club. The Milwaukee Bucks point guard has agreed to a lifetime contract extension with Adidas, per ESPN's Shams Charania ...
Facing the tournament's No. 1 seed in the Granddaddy of Them All, the Buckeyes scored on six of their first seven drives — with four scoring plays longer than 40 yards — to take a 34-0 lead ...
Given two central simple algebras A ~ M(n,S) and B ~ M(m,T) over the same field F, A and B are called similar (or Brauer equivalent) if their division rings S and T are isomorphic. The set of all equivalence classes of central simple algebras over a given field F , under this equivalence relation, can be equipped with a group operation given by ...