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Carnot, Lazare Nicolas Marguerite

(Encyclopedia)Carnot, Lazare Nicolas Marguerite kärnōˈ [key], 1753–1823, French revolutionary, known as the organizer of victory for his role in the French Revolutionary Wars. A military engineer by training,...

Valéry, Paul

(Encyclopedia)Valéry, Paul pōl välārēˈ [key], 1871–1945, French poet and critic. A follower of the symbolists, Valéry was one of the greatest French poets of the 20th cent. He was encouraged by Pierry Loü...

infinity

(Encyclopedia)infinity, in mathematics, that which is not finite; it is often indicated by the symbol ∞. A sequence of numbers, a1, a2, a3, … , is said to “approach infinity” if the numbers eventually b...

number theory

(Encyclopedia)number theory, branch of mathematics concerned with the properties of the integers (the numbers 0, 1, −1, 2, −2, 3, −3, …). An important area in number theory is the analysis of prime number...

complex variable analysis

(Encyclopedia)complex variable analysis, branch of mathematics that deals with the calculus of functions of a complex variable, i.e., a variable of the form z=x+iy, where x and y are real and i=−1 (see number). A...

Gupta

(Encyclopedia)Gupta go͝opˈtə [key], Indian dynasty, a.d. c.320–c.550, whose empire at its height encompassed much of N India. Ancient Indian culture reached a high point during this period. Gupta paintings ado...

equation

(Encyclopedia)equation, in mathematics, a statement, usually written in symbols, that states the equality of two quantities or algebraic expressions, e.g., x+3=5. The quantity x+3, to the left of the equals sign (=...

Lorentz contraction

(Encyclopedia)Lorentz contraction lôrˈĕnts [key], in physics, contraction or foreshortening of a moving body in the direction of its motion, proposed by H. A. Lorentz on theoretical grounds and based on an earli...

series

(Encyclopedia)series, in mathematics, indicated sum of a sequence of terms. A series may be finite or infinite. A finite series contains a definite number of terms whose sum can be found by various methods. An infi...

Hariri, Rafik

(Encyclopedia)Hariri, Rafik or Rafiq räfēkˈ härēˈrē [key], 1944–2005, Lebanese tycoon and political leader, b. Sidon. The son of a poor Sunni Muslim farmer, he moved to Saudi Arabia in 1965. After teaching...