NeuroplasticityNeuroplasticity, also known as neural plasticity, or brain plasticity, is the ability of neural networks in the brain to change through growth and reorganization. It is when the brain is rewired to function in some way that differs from how it previously functioned. These changes range from individual neuron pathways making new connections, to systematic adjustments like cortical remapping. Examples of neuroplasticity include circuit and network changes that result from learning a new ability, information acquisition, environmental influences, practice, and psychological stress.
Different idealIn algebraic number theory, the different ideal (sometimes simply the different) is defined to measure the (possible) lack of duality in the ring of integers of an algebraic number field K, with respect to the field trace. It then encodes the ramification data for prime ideals of the ring of integers. It was introduced by Richard Dedekind in 1882. If OK is the ring of integers of K, and tr denotes the field trace from K to the rational number field Q, then is an integral quadratic form on OK.
Class number formulaIn number theory, the class number formula relates many important invariants of a number field to a special value of its Dedekind zeta function. We start with the following data: K is a number field. [K : Q] = n = r1 + 2r2, where r1 denotes the number of real embeddings of K, and 2r2 is the number of complex embeddings of K. ζK(s) is the Dedekind zeta function of K. hK is the class number, the number of elements in the ideal class group of K. RegK is the regulator of K. wK is the number of roots of unity contained in K.
HappeningA happening is a performance, event, or situation art, usually as performance art. The term was first used by Allan Kaprow during the 1950s to describe a range of art-related events. Allan Kaprow first coined the term "happening" in the spring of 1959 at an art picnic at George Segal's farm to describe the art pieces that were going on. The first appearance in print was in Kaprow's famous "Legacy of Jackson Pollock" essay that was published in 1958 but primarily written in 1956.
Cubic equationIn algebra, a cubic equation in one variable is an equation of the form in which a is nonzero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). All of the roots of the cubic equation can be found by the following means: algebraically: more precisely, they can be expressed by a cubic formula involving the four coefficients, the four basic arithmetic operations, square roots and cube roots.
Schema therapySchema therapy was developed by Jeffrey E. Young for use in treatment of personality disorders and chronic DSM Axis I disorders, such as when patients fail to respond or relapse after having been through other therapies (for example, traditional cognitive behavioral therapy). Schema therapy is an integrative psychotherapy combining theory and techniques from previously existing therapies, including cognitive behavioral therapy, psychoanalytic object relations theory, attachment theory, and Gestalt therapy.
Acceptance and commitment therapyAcceptance and commitment therapy (ACT, typically pronounced as the word "act") is a form of psychotherapy, as well as a branch of clinical behavior analysis. It is an empirically based psychological intervention that uses acceptance and mindfulness strategies along with commitment and behavior-change strategies to increase psychological flexibility. This approach was originally termed comprehensive distancing. Steven C.
Casus irreducibilisIn algebra, casus irreducibilis (Latin for "the irreducible case") is one of the cases that may arise in solving polynomials of degree 3 or higher with integer coefficients algebraically (as opposed to numerically), i.e., by obtaining roots that are expressed with radicals. It shows that many algebraic numbers are real-valued but cannot be expressed in radicals without introducing complex numbers. The most notable occurrence of casus irreducibilis is in the case of cubic polynomials that have three real roots, which was proven by Pierre Wantzel in 1843.
J-invariantIn mathematics, Felix Klein's j-invariant or j function, regarded as a function of a complex variable τ, is a modular function of weight zero for SL(2, Z) defined on the upper half-plane of complex numbers. It is the unique such function which is holomorphic away from a simple pole at the cusp such that Rational functions of j are modular, and in fact give all modular functions. Classically, the j-invariant was studied as a parameterization of elliptic curves over C, but it also has surprising connections to the symmetries of the Monster group (this connection is referred to as monstrous moonshine).
Operational intelligenceOperational intelligence (OI) is a category of real-time dynamic, business analytics that delivers visibility and insight into data, streaming events and business operations. OI solutions run queries against streaming data feeds and event data to deliver analytic results as operational instructions. OI provides organizations the ability to make decisions and immediately act on these analytic insights, through manual or automated actions.
