Bayesian optimizationBayesian optimization is a sequential design strategy for global optimization of black-box functions that does not assume any functional forms. It is usually employed to optimize expensive-to-evaluate functions. The term is generally attributed to Jonas Mockus and is coined in his work from a series of publications on global optimization in the 1970s and 1980s. Bayesian optimization is typically used on problems of the form , where is a set of points, , which rely upon less than 20 dimensions (), and whose membership can easily be evaluated.
Saddle pointIn mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function. An example of a saddle point is when there is a critical point with a relative minimum along one axial direction (between peaks) and at a relative maximum along the crossing axis. However, a saddle point need not be in this form.
Good and evilIn religion, ethics, philosophy, and psychology "good and evil" is a very common dichotomy. In cultures with Manichaean and Abrahamic religious influence, evil is perceived as the dualistic antagonistic opposite of good, in which good should prevail and evil should be defeated. In cultures with Buddhist spiritual influence, both good and evil are perceived as part of an antagonistic duality that itself must be overcome through achieving Śūnyatā meaning emptiness in the sense of recognition of good and evil being two opposing principles but not a reality, emptying the duality of them, and achieving a oneness.
Position and momentum spacesIn physics and geometry, there are two closely related vector spaces, usually three-dimensional but in general of any finite dimension. Position space (also real space or coordinate space) is the set of all position vectors r in Euclidean space, and has dimensions of length; a position vector defines a point in space. (If the position vector of a point particle varies with time, it will trace out a path, the trajectory of a particle.
Value theoryIn ethics and the social sciences, value theory involves various approaches that examine how, why, and to what degree humans value things and whether the object or subject of valuing is a person, idea, object, or anything else. Within philosophy, it is also known as ethics or axiology. Traditionally, philosophical investigations in value theory have sought to understand the concept of "the good". Today, some work in value theory has trended more towards empirical sciences, recording what people do value and attempting to understand why they value it in the context of psychology, sociology, and economics.
Value (economics)In economics, economic value is a measure of the benefit provided by a good or service to an economic agent. It is generally measured through units of currency, and the interpretation is therefore "what is the maximum amount of money a person is willing and able to pay for a good or service?” Among the competing schools of economic theory there are differing theories of value. Economic value is not the same as market price, nor is economic value the same thing as market value.
Instrumental and intrinsic valueIn moral philosophy, instrumental and intrinsic value are the distinction between what is a means to an end and what is as an end in itself. Things are deemed to have instrumental value if they help one achieve a particular end; intrinsic values, by contrast, are understood to be desirable in and of themselves. A tool or appliance, such as a hammer or washing machine, has instrumental value because it helps you pound in a nail or clean your clothes.
Value (ethics and social sciences)In ethics and social sciences, value denotes the degree of importance of some thing or action, with the aim of determining which actions are best to do or what way is best to live (normative ethics in ethics), or to describe the significance of different actions. Value systems are prospective and prescriptive beliefs; they affect the ethical behavior of a person or are the basis of their intentional activities. Often primary values are strong and secondary values are suitable for changes.
Momentum operatorIn quantum mechanics, the momentum operator is the operator associated with the linear momentum. The momentum operator is, in the position representation, an example of a differential operator. For the case of one particle in one spatial dimension, the definition is: where ħ is Planck's reduced constant, i the imaginary unit, x is the spatial coordinate, and a partial derivative (denoted by ) is used instead of a total derivative (d/dx) since the wave function is also a function of time. The "hat" indicates an operator.
Subjective theory of valueThe subjective theory of value is an economic theory for explaining how the value of goods and services are not only set but also how they can fluctuate over time. Its development helped to better understand human action and decision making in economics. The theory follows that the value of any good is not determined by the inherent property of the good, nor by the cumulative value of components or labour needed to produce or manufacture it, but instead is determined by the individuals or entities who are buying or selling the object in question.
