In mathematics, exponentiation, denoted , is an operation (mathematics), operation involving two numbers: the ''base'', , and the ''exponent'' or ''power'', . When is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, is the product (mathematics), product of multiplying bases: b^n = \underbrace_.In particular, b^1=b. The exponent is usually shown as a superscript to the right of the base as or in computer code as b^n. This binary operation is often read as " to the power "; it may also be referred to as " raised to the th power", "the th power of ", or, most briefly, " to the ". The above definition of b^n immediately implies several properties, in particular the multiplication rule:There are three common notations for multiplication: x\times y is most commonly used for explicit numbers and at a very elementary level; xy is most common when variable (mathematics), variables are used; x\cdot y is used for emphasizing that one ta ...

Exponential may refer to any of several mathematical topics related to exponentiation, including: * Exponential function, also: ** Matrix exponential, the matrix analogue to the above * Exponential decay, decrease at a rate proportional to value * Exponential discounting, a specific form of the discount function, used in the analysis of choice over time * Exponential growth, where the growth rate of a mathematical function is proportional to the function's current value * Exponential map (Riemannian geometry), in Riemannian geometry * Exponential map (Lie theory), in Lie theory * Exponential notation, also known as scientific notation, or standard form * Exponential object, in category theory * Exponential time, in complexity theory *in probability and statistics: ** Exponential distribution, a family of continuous probability distributions ** Exponentially modified Gaussian distribution, describes the sum of independent normal and exponential random variables ** Exponential famil ...

Population may refer to: * Population (biology), a group of individuals ** Wildlife population, group of non-human individuals * ''Population'' (album), by The Most Serene Republic, 2007 * Population (human biology), a group of human individuals * ''Population'' (journal), published by Institut national d'études démographiques * Statistical population, a set of similar items or events which is of interest for some question or experiment * Stellar population, categorized groups of stars within the Milky Way * World population, total number of living humans on Earth See also * Demography, the statistical study of human populations * List of continents and continental subregions by population * List of countries and dependencies by population * People (other) * Population density {{Disambiguation Population ...

Michael may refer to: People * Michael (given name), a given name * Michael (surname), including a list of people with the surname Michael Mononymously known as * Michael (bishop elect), English 13th-century Bishop of Hereford elect * Michael (Khoroshy) (1885–1977), cleric of the Ukrainian Orthodox Church of Canada * Michael Donnellan (1915–1985), Irish-born London fashion designer, often referred to simply as "Michael" * Michael (footballer, born 1982), Brazilian footballer * Michael (footballer, born 1983), Brazilian footballer * Michael (footballer, born 1993), Brazilian footballer * Michael (footballer, born February 1996), Brazilian footballer * Michael (footballer, born March 1996), Brazilian footballer * Michael (footballer, born 1999), Brazilian footballer Rulers Byzantine emperors * Michael I Rangabe (), married the daughter of Emperor Nikephoros I * Michael II (770–829), called "the Stammerer" and "the Amorian" * Michael III (840–867), called "the ...

Hippocrates of Kos (; ; ), also known as Hippocrates II, named after his grandfather ''Hippocrates'' I (also Hippocrates of Kos or Hippocrates I of Kos) was a Greek physician and philosopher of the classical period who is considered one of the most outstanding figures in the history of medicine. He is traditionally referred to as the "Father of Medicine" in recognition of his lasting contributions to the field, such as the use of prognosis and clinical observation, the systematic categorization of diseases, and the (later discredited) formulation of humoral theory. His studies set out the basic ideas of modern-day specialties, including surgery, urology, neurology, acute medicine and orthopedics, and advanced the systematic study of clinical medicine. The Hippocratic school of medicine revolutionized ancient Greek medicine, establishing it as a discipline distinct from other fields with which it had traditionally been associated ( theurgy and philosophy), thus establ ...

Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier ...

Greek may refer to anything related to: * Greece, a country in Europe * Ancient Greece, the ancient civilization before the end of Antiquity ** Greek mythology, a body of myths originally told by the Ancient Greeks * Greeks, an ethnic group * Greek language, a branch of the Indo-European language family ** Proto-Greek or Proto-Hellenic language, the assumed last common ancestor of all known varieties of Greek ** Hellenic languages, a branch of the Indo-European language family whose principal member is the Greek language ** Mycenaean Greek, most ancient attested form of the language (16th to 11th centuries BC) ** Ancient Greek, forms of the language used c. 1000–330 BC ** Koine Greek, common form used during Classical antiquity, ** Medieval Greek or Byzantine Greek, spoken during the Middle Ages up until the fall of Constantinople in 1453 AD ** Modern Greek, varieties spoken in the modern era (from 1453 AD) * Greek alphabet, script used to write the Greek language * Greek Orthod ...

Graduate may refer to: Education * The subject of a graduation, i.e. someone who has been awarded an academic degree ** An alumnus/alumna, a former student who has either attended or graduated from an institution ** In the U.S., when used without qualification, usually someone who has obtained a bachelor's degree * High school graduate, someone who has completed high school (in the U.S.) Arts and entertainment * Graduate (band), the band that Roland Orzabal and Curt Smith were in before forming Tears for Fears * The Graduate, a 1967 American film * ''Graduate'' (film), a 2011 Telugu-language film * "Graduate" (song), by Third Eye Blind, 1997 Other uses * Graduate (dinghy), a type of sailing vessel * A trim level of the Alfa Romeo Spider sports car See also * Graduation (other) * The Graduate (other) * Graduate diploma, a postgraduate qualification * Graduate school, a school that awards advanced degrees * Postgraduate education, a phase of higher ...

American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the " United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * ''American'' (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Conference (NCAA), an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Spo ...

The present also called the present moment, is the period of time that is occurring right now. The present is in contrast to the past, the period of time that has already occurred; and the future, the period of time that has yet to occur. It is sometimes represented as a hyperplane in space-time, typically called "now", although modern physics demonstrates that such a hyperplane cannot be defined uniquely for observers in relative motion. The present may also be viewed as a duration. Historiography Contemporary history describes the historical timeframe immediately relevant to the present time and is a certain perspective of modern history. Philosophy and religion Philosophy of time "The present" raises the question: "How is it that all sentient beings experience ''now'' at the same time?" There is no logical reason why this should be the case and no easy answer to the question. The present moment has also been investigated through the perspective of subjective experien ...

Latin ( or ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally spoken by the Latins in Latium (now known as Lazio), the lower Tiber area around Rome, Italy. Through the expansion of the Roman Republic, it became the dominant language in the Italian Peninsula and subsequently throughout the Roman Empire. It has greatly influenced many languages, including English, having contributed many words to the English lexicon, particularly after the Christianisation of the Anglo-Saxons and the Norman Conquest. Latin roots appear frequently in the technical vocabulary used by fields such as theology, the sciences, medicine, and law. By the late Roman Republic, Old Latin had evolved into standardised Classical Latin. Vulgar Latin refers to the less prestigious colloquial registers, attested in inscriptions and some literary works such as those of the comic playwrights Plautus and Terence and the author P ...