the triangulation lies in a cube of size one. With respect to this triangulation we assume that the function satisfies … prove this we use a simplicial algorithm that terminates with a zero point within a finite number of iterations. The …

that every vertex is an element of the integer lattice and each simplex of the triangulation lies in a cube of size one …. With respect to this triangulation we assume that the function satisfies some property that replaces continuity. Under this … property and some boundary condition the function has a zero point. To prove this we use a simplicial algorithm that terminates …

of the triangulation lies in an n-dimensional cube of size one. With respect to this triangu- lation we assume that the … zero point. To prove this we use a simplicial algorithm that terminates with a zero point within a finite number of …

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1 …,-2,....-n} with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1 …,-2,....-n} with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {+/-1,+/-2,...,+/-n …} with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1 …,-2,....-n} with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …