Constraint (mathematics)In mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set. The following is a simple optimization problem: subject to and where denotes the vector (x1, x2). In this example, the first line defines the function to be minimized (called the objective function, loss function, or cost function).
Constraint programmingConstraint programming (CP) is a paradigm for solving combinatorial problems that draws on a wide range of techniques from artificial intelligence, computer science, and operations research. In constraint programming, users declaratively state the constraints on the feasible solutions for a set of decision variables. Constraints differ from the common primitives of imperative programming languages in that they do not specify a step or sequence of steps to execute, but rather the properties of a solution to be found.
Compliant mechanismIn mechanical engineering, a compliant mechanism is a flexible mechanism that achieves force and motion transmission through elastic body deformation. It gains some or all of its motion from the relative flexibility of its members rather than from rigid-body joints alone. These may be monolithic (single-piece) or jointless structures. Some common devices that use compliant mechanisms are backpack latches and paper clips. One of the oldest examples of using compliant structures is the bow and arrow.
Constraint satisfaction problemConstraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations. CSPs represent the entities in a problem as a homogeneous collection of finite constraints over variables, which is solved by constraint satisfaction methods. CSPs are the subject of research in both artificial intelligence and operations research, since the regularity in their formulation provides a common basis to analyze and solve problems of many seemingly unrelated families.
Swing (jazz performance style)In music, the term swing has two main uses. Colloquially, it is used to describe the propulsive quality or "feel" of a rhythm, especially when the music prompts a visceral response such as foot-tapping or head-nodding (see pulse). This sense can also be called "groove". It is also known as shuffle. The term swing, as well as swung note(s) and swung rhythm, is also used more specifically to refer to a technique (most commonly associated with jazz but also used in other genres) that involves alternately lengthening and shortening the first and second consecutive notes in the two part pulse-divisions in a beat.
Swing (dance)Swing dance is a group of social dances that developed with the swing style of jazz music in the 1920s–1940s, with the origins of each dance predating the popular "swing era". Hundreds of styles of swing dancing were developed; those that have survived beyond that era include Lindy Hop, Balboa, Collegiate Shag, and Charleston. Today, the best-known of these dances is the Lindy Hop, which originated in Harlem in the early 1930s.
Western swingWestern swing music is a subgenre of American country music that originated in the late 1920s in the West and South among the region's Western string bands. It is dance music, often with an up-tempo beat, which attracted huge crowds to dance halls and clubs in Texas, Oklahoma and California during the 1930s and 1940s until a federal war-time nightclub tax in 1944 contributed to the genre's decline. The movement was an outgrowth of jazz.
Constraint Handling RulesConstraint Handling Rules (CHR) is a declarative, rule-based programming language, introduced in 1991 by Thom Frühwirth at the time with European Computer-Industry Research Centre (ECRC) in Munich, Germany. Originally intended for constraint programming, CHR finds applications in grammar induction, type systems, abductive reasoning, multi-agent systems, natural language processing, compilation, scheduling, spatial-temporal reasoning, testing, and verification.
Constrained optimizationIn mathematical optimization, constrained optimization (in some contexts called constraint optimization) is the process of optimizing an objective function with respect to some variables in the presence of constraints on those variables. The objective function is either a cost function or energy function, which is to be minimized, or a reward function or utility function, which is to be maximized.
FunkFunk is a music genre that originated in African American communities in the mid-1960s when musicians created a rhythmic, danceable new form of music through a mixture of various music genres that were popular among African Americans in the mid-20th century. It deemphasizes melody and chord progressions and focuses on a strong rhythmic groove of a bassline played by an electric bassist and a drum part played by a percussionist, often at slower tempos than other popular music.
