DerivativeIn mathematics, the derivative shows the sensitivity of change of a function's output with respect to the input. Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
African diaspora religionsAfrican diaspora religions, also described as Afro-American religions, are a number of related beliefs that developed in the Americas in various nations of the Caribbean, Latin America and the Southern United States. They derive from traditional African religions with some influence from other religious traditions, notably Christianity and Islam. Afro-American religions involve ancestor veneration and include a creator deity along with a pantheon of divine spirits such as the Orisha, Loa, Vodun, Nkisi and Alusi, among others.
Ethnic religionIn religious studies, an ethnic religion is a religion or belief associated with a particular ethnic group. Ethnic religions are often distinguished from universal religions, such as Christianity or Islam, in which gaining converts is a primary objective and, therefore, are not limited in ethnic, national or racial scope. A number of alternative terms have been used instead of ethnic religion. Another term that is often used is folk religion.
EvolutionIn biology, evolution is the change in heritable characteristics of biological populations over successive generations. Evolution occurs when evolutionary processes such as natural selection (including sexual selection) and genetic drift act on genetic variation, resulting in certain characteristics becoming more or less common within a population over successive generations. The process of evolution has given rise to biodiversity at every level of biological organisation.
Evolutionary origin of religionThe evolutionary origin of religion and religious behavior is a field of study related to evolutionary psychology, the origin of language and mythology, and cross-cultural comparison of the anthropology of religion. Some subjects of interest include Neolithic religion, evidence for spirituality or cultic behavior in the Upper Paleolithic, and similarities in great ape behavior. Religious behavior in animals Humanity's closest living relatives are common chimpanzees and bonobos.
Anthropology of religionAnthropology of religion is the study of religion in relation to other social institutions, and the comparison of religious beliefs and practices across cultures. Al-Biruni (973–1048), wrote detailed comparative studies on the anthropology of religions and cultures across the Mediterranean Basin (including the so-called "Middle East") and the Indian subcontinent. He discussed the peoples, customs, and religions of the Indian subcontinent.
Generalizations of the derivativeIn mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, geometry, etc. The Fréchet derivative defines the derivative for general normed vector spaces . Briefly, a function , an open subset of , is called Fréchet differentiable at if there exists a bounded linear operator such that Functions are defined as being differentiable in some open neighbourhood of , rather than at individual points, as not doing so tends to lead to many pathological counterexamples.
Evolution and the Catholic ChurchThe Catholic Church holds no official position on the theory of creation or evolution, leaving the specifics of either theistic evolution or literal creationism to the individual within certain parameters established by the Church. According to the Catechism of the Catholic Church, any believer may accept either literal or special creation within the period of an actual six-day, twenty-four-hour period, or they may accept the belief that the earth evolved over time under the guidance of God.
EvolutionismEvolutionism is a term used (often derogatorily) to denote the theory of evolution. Its exact meaning has changed over time as the study of evolution has progressed. In the 19th century, it was used to describe the belief that organisms deliberately improved themselves through progressive inherited change (orthogenesis). The teleological belief went on to include cultural evolution and social evolution. In the 1970s, the term "Neo-Evolutionism" was used to describe the idea that "human beings sought to preserve a familiar style of life unless change was forced on them by factors that were beyond their control.
Philosophy of religionPhilosophy of religion is "the philosophical examination of the central themes and concepts involved in religious traditions". Philosophical discussions on such topics date from ancient times, and appear in the earliest known texts concerning philosophy. The field is related to many other branches of philosophy, including metaphysics, epistemology, and ethics. The philosophy of religion differs from religious philosophy in that it seeks to discuss questions regarding the nature of religion as a whole, rather than examining the problems brought forth by a particular belief-system.
Second derivativeIn calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object with respect to time is the instantaneous acceleration of the object, or the rate at which the velocity of the object is changing with respect to time. In Leibniz notation: where a is acceleration, v is velocity, t is time, x is position, and d is the instantaneous "delta" or change.
Derivative testIn calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local maximum, a local minimum, or a saddle point. Derivative tests can also give information about the concavity of a function. The usefulness of derivatives to find extrema is proved mathematically by Fermat's theorem of stationary points. The first-derivative test examines a function's monotonic properties (where the function is increasing or decreasing), focusing on a particular point in its domain.
