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Open strings attached to a pair of D-branes. In string theory, a string may be open (forming a segment with two endpoints) or closed (forming a closed loop). D-branes are an important class of branes that arise when one considers open strings. As an open string propagates through spacetime, its endpoints are required to lie on a D-brane.
The arrangement of D-branes constricts the types of string states which can exist in a system. For example, if we have two parallel D2-branes, we can easily imagine strings stretching from brane 1 to brane 2 or vice versa. (In most theories, strings are oriented objects: each one carries an "arrow" defining a direction along its length.) The ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish each spring in a lake are examples of dynamical systems. List of dynamical systems and differential equations topics; List of nonlinear partial differential equations; List of partial differential equation topics
The Russian School of Mathematics (RSM) is an after-school program based in North America that provides mathematics education to children attending K–12 public and private schools. The school provides children with the opportunity to advance in mathematics beyond the traditional school curriculum. The founder of RSM is Inessa Rifkin and the ...
[6] [7] Some high-school-level discrete mathematics textbooks have appeared as well. [8] At this level, discrete mathematics is sometimes seen as a preparatory course, like precalculus in this respect. [9] The Fulkerson Prize is awarded for outstanding papers in discrete mathematics.
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