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theorem
noun(the-o-rem)a formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions
theorem
noun(the-o-rem)an idea accepted or proposed as a demonstrable truth often as a part of a general theory : proposition
theorem
noun(the-o-rem)stencil
theorem
noun(the-o-rem)a theorem about conditional probabilities: the probability that an event A occurs given that another event B has already occurred is equal to the probability that the event B occurs given that A has already occurred multiplied by the probability of occurrence of event A and divided by the probability of occurrence of event B
theorem
noun(the-o-rem)a theorem that specifies the expansion of a binomial of the form ...
theorem
noun(the-o-rem)any of several fundamental theorems of probability and statistics that state the conditions under which the distribution of a sum of independent random variables is approximated by the normal distribution; especially : one which is much applied in sampling and which states that the distribution of a mean of a sample from a population with finite variance is approximated by the normal distribution as the number in the sample becomes large
theorem
noun(the-o-rem)a theorem of complex numbers: the nth power of a complex number has for its absolute value and its argument respectively the nth power of the absolute value and n times the argument of the complex number
theorem
noun(the-o-rem)a theorem in number theory: the equation xⁿ + yⁿ = zⁿ has no solutions when x, y, z, and n are all positive integers and n is greater than 2
theorem
noun(the-o-rem)a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series
theorem
noun(the-o-rem)a theorem in advanced logic: in any logical system as complex as or more complex than the arithmetic of the integers there can always be found either a statement which can be shown to be both true and false or a statement whose truth or falsity cannot be deduced from other statements in the system —called also Godel's incompleteness theorem
theorem
noun(the-o-rem)a fundamental theorem of topology: every simple closed curve divides the plane into two regions for which it is the common boundary
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noun(the-o-rem)a theorem in differential calculus: if a function of one variable is continuous on a closed interval and differentiable on the interval minus its endpoints there is at least one point where the derivative of the function is equal to the slope of the line joining the endpoints of the curve representing the function on the interval
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noun(the-o-rem)a theorem in integral calculus: if a function of one variable is continuous on a closed interval and differentiable on the interval minus its endpoints, there is at least one point in the interval where the product of the value of the function and the length of the interval is equal to the integral of the function over the interval