Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension.
Thursday, 19 July 2018
Wednesday, 18 July 2018
McGraw-Hill Ryerson Physics 12 is a NEW resource written specifically for the Ontario Physics, Grade 12 University Preparation course (SPH4U). The student text's clear explanations and diagrams, as well as its many excellent Problem tips, Sample, Practice and Conceptual Problems, and labs, ensure a solid grasp of the concepts and skills essential for university-bound students.
A vector is what is needed to "carry" the point A to the point B; the Latin word vector means "carrier". It was first used by 18th century astronomers investigating planet rotation around the Sun. The magnitude of the vector is the distance between the two points and the direction refers to the direction of displacement from A to B.
Probability is the measure of the likelihood that an event will occur. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
The technique of linear programming is a very powerful and widely applied numerical method. In general, chemists have not made use of this tool. Here we present a simple example which shows the superiority of a linear programming based fitting process over that of the weighted or unweighted least squares formulation.
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location.
Tuesday, 17 July 2018
Beginning Partial Differential Equations, Second Edition provides a comprehensive introduction to partial differential equations (PDEs) with a special focus on the significance of characteristics, solutions by Fourier series, integrals and transforms, properties and physical interpretations of solutions, and a transition to the modern function space approach to PDEs.
Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies.
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix. The determinant of a matrix A is denoted det(A), det A, or |A|. Geometrically, it can be viewed as the scaling factor of the linear transformation described by the matrix.
Covering modern methods in organic synthesis, the fourth edition of this well-known textbook demonstrates their value, scope and use in the synthesis of complex molecules.