Triangular graph templates can be downloaded from online sources and hand completed or, if downloaded into a publishing software package, completed digitally.

We assume the matrix L is unit lower triangular (diagonal of all ones + lower triangular), and U is upper triangular, so we can solve linear systems with L and U involving forward and backward substitution. …

Triangular distribution (from http://www.math.wm.edu/ ̃leemis/chart/UDR/UDR.html) arameters ∼ a, m and b. A triangular random variable X has pr 2(x−a) a < x < m f (x) = (b−a)(m−a) 2(b−x) m …

We will use this equation for potential energy to develop the stiffness matrix for triangular elements in a thin plate. Our goal in this development is to replace both the stress and strain terms with linear …

De nition 1 Given an n nmatrix A Ais called upper triangular if all entries below the main diagonal are 0. Ais called lower triangular if all entries above the main diagonal are 0.

We no longer need to care about the requirements involving the tensor product (SD5) and (SD6), but we can still ask for a universal space where pictures can be drawn.

Each vertex has a label consisting of a distinct triangular number. Each edge has a distinct weight equal to the product of the labels of its endvertices. The edge weights are distinct triangular numbers. We …