Kakeya conjecture - The Chinese University of Hong Kong
... Let’s work over Fp , where p is prime. For simplicity, if a, b are in Fp , let’s write a ⊗ b as ab, and a ⊕ b as a + b. If x is in Fp , write x n for x ⊗ x ⊗ · · · ⊗ x (the product of n copies of x). If a0 , a1 , . . . , ad are in Fp , we call ad x d + ad−1 x d−1 + · · · + a1 x + a0 a one-variable p ...
... Let’s work over Fp , where p is prime. For simplicity, if a, b are in Fp , let’s write a ⊗ b as ab, and a ⊕ b as a + b. If x is in Fp , write x n for x ⊗ x ⊗ · · · ⊗ x (the product of n copies of x). If a0 , a1 , . . . , ad are in Fp , we call ad x d + ad−1 x d−1 + · · · + a1 x + a0 a one-variable p ...
Weekly Problems Due Math Monday Spirit Days
... Math Month has arrived! Throughout the month of January, children are being encouraged to brush up on their problem solving skills and their basic fact practice. Attached you will find 4 grade specific math problems for your child to solve. It is suggested that your child complete one problem each w ...
... Math Month has arrived! Throughout the month of January, children are being encouraged to brush up on their problem solving skills and their basic fact practice. Attached you will find 4 grade specific math problems for your child to solve. It is suggested that your child complete one problem each w ...
Full text
... In [4], we find a nonadjacent number P(G, k) for a graph defined as the number of ways in which k disconnected lines are chosen from G. Furthermore, in [5], we find the definition of a topological index for nondirected graphs. This is a unique number associated with a given nondirected graph. The to ...
... In [4], we find a nonadjacent number P(G, k) for a graph defined as the number of ways in which k disconnected lines are chosen from G. Furthermore, in [5], we find the definition of a topological index for nondirected graphs. This is a unique number associated with a given nondirected graph. The to ...
Homework 4 Solutions ()
... Problem 2: (2 points) A metal plate has the shape of the region x2 + y 2 ≤ 1. The plate is heated so that the temperature at any point (x, y) on it is indicated by T (x, y) = 2x2 + y 2 − y + 3. ...
... Problem 2: (2 points) A metal plate has the shape of the region x2 + y 2 ≤ 1. The plate is heated so that the temperature at any point (x, y) on it is indicated by T (x, y) = 2x2 + y 2 − y + 3. ...
Weber problem
In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.