A theorem is a statement in mathematics or logic that can be proved to be true by reasoning.
Synonyms: proposition, statement, formula, rule More Synonyms of theorem
theorem in British English
(ˈθɪərəm)
noun
mathematics, logic
a statement or formula that can be deduced from the axioms of a formal system by means of its rules of inference
Derived forms
theorematic (ˌθɪərəˈmætɪk), theoremic (ˌθɪəˈrɛmɪk) or obsolete theorematical (ˌθɪərəˈmætɪkəl)
adjective
theorematically (ˌtheoreˈmatically)
adverb
Word origin
C16: from Late Latin theōrēma, from Greek: something to be viewed, from theōrein to view
theorem in American English
(ˈθiərəm; ˈθɪrəm)
noun
1.
a proposition that is not self-evident but that can be proved from accepted premises and so is established as a law or principle
2.
an expression of relations in an equation or formula
3. Ancient Mathematics and Physics
a proposition embodying something to be proved
Derived forms
theorematic (ˌtheoreˈmatic) (ˈθiərəˈmætɪk)
adjective
Word origin
< Fr or L: Fr théorème < L theorema < Gr theōrēma < theōrein, to look at, view < theoros, spectator: for IE base see theater
Examples of 'theorem' in a sentence
theorem
You'll see there's an article on the famous `Bardi theorem ".
Nabb, Magdalen, Vagheggi, Paolo PROSECUTOR (2002)
Do you think you'll be able to solve this problem or theorem -- or whatever it's called?
Scarlett Thomas GOING OUT (2002)
All related terms of 'theorem'
Bayes' theorem
the fundamental result which expresses the conditional probability P ( E /A ) of an event E given an event A as P ( A/E ). P ( E ) /P ( A ); more generally , where En is one of a set of values Ei which partition the sample space , P ( En/A ) = P ( A/En ) P ( En ) / Σ P ( A/Ei ) P ( Ei ). This enables prior estimates of probability to be continually revised in the light of observations
Gödel's theorem
either of two theorems published by the mathematician Kurt Gö del in 1931 that prove all mathematical systems are incomplete in that their truth or consistency can only be proved using a system of a higher order
binomial theorem
a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n . It contains n + 1 terms: ( x + a ) n = xn + nx n – 1 a + [ n ( n –1)/2] xn – 2 a 2 +…+ ( nk ) xn – kak + … + an , where ( nk ) = n !/( n– k )! k !, the number of combinations of k items selected from n
deduction theorem
the property of many formal systems that the conditional derived from a valid argument by taking the conjunction of the premises as antecedent and the conclusion as consequent is true
Poynting theorem
the theorem that the rate of flow of electromagnetic energy through unit area is equal to the Poynting vector , i.e. the cross product of the electric and magnetic field intensities
Bernoulli's theorem
an expression of the conservation of energy in streamline flow, stating that the sum of the ratio of the pressure to the mass density , the product of the gravitational constant and the vertical height, and the square of the velocity divided by 2 are constant
mean value theorem
the theorem that for a function continuous on a closed interval and differentiable on the corresponding open interval, there is a point in the interval such that the difference in functional values at the endpoints is equal to the derivative evaluated at the particular point and multiplied by the difference in the endpoints
Pythagoras' theorem
the theorem that in a right-angled triangle the square of the length of the hypotenuse equals the sum of the squares of the other two sides
Pythagorean theorem
the theorem that in a right triangle the hypotenuse squared is equal to the sum of the squares of the other sides (i. e ., c 2 =a 2 + b 2 )
central limit theorem
the fundamental result that the sum (or mean) of independent identically distributed random variables with finite variance approaches a normally distributed random variable as their number increases, whence in particular if enough samples are repeatedly drawn from any population , the sum of the sample values can be thought of, approximately , as an outcome from a normally distributed random variable
Fermat's last theorem
(in number theory) the hypothesis that the equation xn + yn = zn has no integral solutions for n greater than two
Heine-Borel theorem
the theorem that in a metric space every covering consisting of open sets that covers a closed and compact set has a finite collection of subsets that covers the given set
Nernst heat theorem
the principle that reactions in crystalline solids involve changes in entropy that tend to zero as the temperature approaches absolute zero
Weierstrass approximation theorem
the theorem that for any continuous function on a closed interval , there is a polynomial such that the difference in values of the function and the polynomial at each point in the interval is less in absolute value than some positive number
Gresham's law
the economic hypothesis that bad money drives good money out of circulation ; the superior currency will tend to be hoarded and the inferior will thus dominate the circulation
(noun)
Definition
a proposition, esp. in maths, that can be proved by reasoning from the basic principles of a subject
He postulated a theorem and proved it.
Synonyms
proposition
the proposition that monarchs derived their authority by divine right
statement
formula
The new peace formula means hostilities have ended.
rule
An important rule is to drink plenty of water.
principle
the principles of quantum theory
thesis
This thesis does not stand up to close inspection.
hypothesis
Different hypotheses have been put forward.
deduction
dictum
his dictum that the priority of the government must be the health of the people
Additional synonyms
in the sense of dictum
Definition
a formal statement
his dictum that the priority of the government must be the health of the people
Synonyms
decree,
order,
demand,
statement,
command,
dictate,
canon,
fiat,
edict,
pronouncement
in the sense of formula
Definition
a plan or set of rules for doing or producing something
The new peace formula means hostilities have ended.
Synonyms
method,
plan,
policy,
rule,
principle,
procedure,
recipe,
prescription,
blueprint,
precept,
modus operandi,
way
in the sense of hypothesis
Definition
a suggested explanation for a group of facts, accepted either as a basis for further verification or as likely to be true
Different hypotheses have been put forward.
Synonyms
theory,
premise,
proposition,
assumption,
thesis,
postulate,
supposition,
premise
Synonyms of 'theorem'
theorem
Explore 'theorem' in the dictionary
Additional synonyms
in the sense of principle
Definition
a general law in science
the principles of quantum theory
Synonyms
rule,
idea,
law,
theory,
basis,
truth,
concept,
formula,
fundamental,
assumption,
essence,
proposition,
verity,
golden rule,
precept
in the sense of rule
An important rule is to drink plenty of water.
Synonyms
precept,
principle,
criterion,
canon,
maxim,
tenet,
axiom
in the sense of thesis
Definition
an opinion supported by reasoned argument
This thesis does not stand up to close inspection.