KinematicsKinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system.
Linear regressionIn statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables (also known as dependent and independent variables). The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.
RevelationIn religion and theology, revelation is the revealing or disclosing of some form of truth or knowledge through communication with a deity or other supernatural entity or entities. With the Age of Enlightenment in Europe, beginning about the mid-17th century, the development of rationalism, materialism and atheism, the concept of supernatural revelation itself faced skepticism. In The Age of Reason (1794–1809), Thomas Paine developed the theology of deism, rejecting the possibility of miracles and arguing that a revelation can be considered valid only for the original recipient, with all else being hearsay.
Linear modelIn statistics, the term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with linear regression model. However, the term is also used in time series analysis with a different meaning. In each case, the designation "linear" is used to identify a subclass of models for which substantial reduction in the complexity of the related statistical theory is possible.
Equations of motionIn physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions in terms of dynamic variables. These variables are usually spatial coordinates and time, but may include momentum components. The most general choice are generalized coordinates which can be any convenient variables characteristic of the physical system.
Robot kinematicsIn robotics, robot kinematics applies geometry to the study of the movement of multi-degree of freedom kinematic chains that form the structure of robotic systems. The emphasis on geometry means that the links of the robot are modeled as rigid bodies and its joints are assumed to provide pure rotation or translation. Robot kinematics studies the relationship between the dimensions and connectivity of kinematic chains and the position, velocity and acceleration of each of the links in the robotic system, in order to plan and control movement and to compute actuator forces and torques.
Book of RevelationThe Book of Revelation, also erroneously called the Book of Revelations, is the final book of the New Testament (and therefore the final book of the Christian Bible). Written in Koine Greek, its title is derived from the first word of the text: apokalypsis, meaning 'unveiling' or 'revelation'. The Book of Revelation is the only apocalyptic book in the New Testament canon. It occupies a central place in Christian eschatology. The author names himself as simply "John" in the text, but his precise identity remains a point of academic debate.
Screw theoryScrew theory is the algebraic calculation of pairs of vectors, such as forces and moments or angular and linear velocity, that arise in the kinematics and dynamics of rigid bodies. The mathematical framework was developed by Sir Robert Stawell Ball in 1876 for application in kinematics and statics of mechanisms (rigid body mechanics). Screw theory provides a mathematical formulation for the geometry of lines which is central to rigid body dynamics, where lines form the screw axes of spatial movement and the lines of action of forces.
Private revelationIn Christian theology, a private revelation is an instance of revelation, in a broader sense of the term, of divine reality to a person or persons. It contrasts with revelation intended for humanity at large, which is sometimes termed public revelation. Within Catholicism, an official skeptical predisposition toward accounts of private revelation is maintained. When recognized by the authority of the church - after their credibility and religious significance has been judged positively by the local Catholic bishop - these messages are considered helpful to believers "in a certain period of history".
Generalized linear modelIn statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model to be related to the response variable via a link function and by allowing the magnitude of the variance of each measurement to be a function of its predicted value. Generalized linear models were formulated by John Nelder and Robert Wedderburn as a way of unifying various other statistical models, including linear regression, logistic regression and Poisson regression.
