theorem

English - Turkish

Definition of theorem in English Turkish dictionary

teorem

Eğer sistem istikrarlı değilse, son değer teoremi uygulanmaz. - The final value theorem does not apply if the system is not stable.

Pisagor teoremi bir dik üçgenin hipotenüs uzunluğunu hesaplaman için izin verir. - Pythagoras' theorem allows you to calculate the length of the hypotenuse of a right triangle.

kanıt

Şimdi, bu yardımcı önermenin nasıl ana önermemizi kanıtlamak için kullanılabileceğini gösteriyoruz. - Now, we show how this lemma can be used to prove our main theorem.

Fermat'ın Son Teoremi, nihayet 1994 yılında İngiliz matematikçi Andrew Vaylzom tarafından kanıtlandı. - Fermat's Last Theorem was finally proven by English mathematician Andrew Wiles in 1994.

sav

önerme

Şimdi, bu yardımcı önermenin nasıl ana önermemizi kanıtlamak için kullanılabileceğini gösteriyoruz. - Now, we show how this lemma can be used to prove our main theorem.

i., mat., man. teorem, kanıtsav

{i} kuram

kanıtsav

Related Terms

theorem of the cosine

kosinüs teoremi

intermediate value theorem

ara değer teoremi

central limit theorem

merkezi sınır teoremi

existence theorem

(Matematik) varlık teoremi

existence theorem

varlık savı

remainder theorem

(Matematik) kalan teoremi

uniqueness theorem

teklik savı

angle bisector theorem

açıortay teoremi

bernoulli's theorem

bernuulli önermesi

binomial theorem

binomial teoremi

cantor theorem

cantor teoremi

cauchy mean value theorem

cauchy ortalama değer teoremi

central limit theorem

merkezi kısıtlama teoremi

mean value theorem

ortalama değer teoremi

Coase theorem

Ronald Coase tarafından 1960 yılında geliştirilen ve Coase Teoremi olarak bilinen teoreme göre, dışsal ekonomilerde mülkiyet hakları tesis edilirse mübadele maliyetinin sıfır olması koşuluyla taraflardan biri diğerinin zararını karşılayarak sosyal optimuma ulaşılır ve ekonomik etkinlik sağlanır. Mülkiyet hakkının hangi tarafa tahsis edildiği ekonomik etkinlik açısından önem taşımamakta, ancak faydanın taraflar arasındaki dağılımını etkilemektedir

Pascal's theorem

Pascal teoremi, Pascal savı

cobweb theorem

örümcek ağı teoremı

pinching theorem

Sıkıştırma teoremi

pythagorean theorem

pisagor teoremi

pythagorean theorem

pitagor teoremi

pythagorean theorem

pisagor savı

remainder theorem

kalan teoremi, kalan savı

residue theorem

artık teoremi, artık savı

sandwich theorem

Sıkıştırma teoremi

squeeze theorem

Sıkıştırma teoremi

bernoulli theorem

bernulli varsayımı

bernoulli’s theorem

(Askeri) bernouilli teoremi

chinese remainder theorem

(Matematik) çinli kalan teoremi

cobweb theorem

örümcek ağı teoremi

existence theorem

varlik savi

fourier's integral theorem

(Matematik) fourier tümlev savı

fourier's integral theorem

(Matematik) fourier integral teoremi

nested intervals theorem

(Matematik) iç içe aralıklar teoremi

nested intervals theorem

(Matematik) iç içe aralıklar savı

rational root theorem

(Matematik) rasyonel kök teoremi

residue theorem

(Matematik) artık teoremi

residue theorem

(Matematik) artık savı

rolle's theorem

(Matematik) rolle savı

rolle's theorem

(Matematik) rolle teoremi

rouche's theorem

(Matematik) rouche savı

rouche's theorem

(Matematik) rouche teoremi

stokes' theorem

stokes teoremi

uniqueness theorem

teklik savi

English - English

Definition of theorem in English English dictionary

A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas

A mathematical statement that is expected to be true; as, Fermat's Last Theorem (as which it was known long before it was proved in the 1990s.)

a syntactically correct expression that is deducible from the given axioms of a deductive system

{n} a position of acknowledged truth

a string derived from an axiom in a formal system Hofstadter considers this definition different from that ofa Theorem A Theorem is a statement that has been proven true through logic and which considered true Hofstadter uses his own idea of theorems in his proofs

A mathematical statement that is expected to be true; as, Fermats Last Theorem (as which it was known long before it was proved in the 1990s.)

To formulate into a theorem

A consequence of a theory or mathematical system which is sufficiently useful to warrant special notice

a logical proposition that follows from basic definitions and assumptions

A theorem is a statement that has been proven to be true

A statement that can be proved (Lesson 15 1)

A statement of a principle to be demonstrated

{i} theoretical propositions which is to be proven (Mathematics); rule, law, basic premise; generally accepted rule

an idea accepted as a demonstrable truth a proposition deducible from basic postulates

A formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions (A theorem is the last step, after other statements have been proved )

A specific implication of a more general explanatory proposition, a postulate by means by deductive logic

an idea accepted as a demonstrable truth

painting [n] a type of painting, usually a still life, that was painted according to a list of instructions and sometimes with stencils; popular in the mid-nineteenth century

a proposition deducible from basic postulates

A formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions

A statement that can be proved

That which is considered and established as a principle; hence, sometimes, a rule

Let n be an integer greater than one Let m be the product of all of the positive integers less than n, but relatively prime to n (so m=(n-1)! if n is prime) n divides either m+1 or m-1

A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorems proof are called lemmas

A theorem is a statement in mathematics or logic that can be proved to be true by reasoning. a statement, especially in mathematics, that you can prove by showing that it has been correctly developed from facts (theorema, from , from theorein; THEORY). In mathematics or logic, a statement whose validity has been established or proved. It consists of a hypothesis and a conclusion, beginning with certain assumptions that are necessary and sufficient to establish a result. A system of theorems that build on and augment each other constitutes a theory. Within any theory, however, only statements that are essential, important, or of special interest are called theorems. Less important statements, usually stepping-stones in proofs of more important results, are called lemmas. A statement proved as a direct consequence of a theorem is a corollary of the theorem. Some theorems (and even lemmas and corollaries) are singled out and given titles (e.g., Gödel's theorem, fundamental theorem of algebra, fundamental theorem of calculus, Pythagorean theorem). Bernoulli's theorem binomial theorem central limit theorem Fermat's last theorem fundamental theorem of algebra fundamental theorem of arithmetic fundamental theorem of calculus Gödel's theorem Pythagorean theorem Rolle's theorem mean value theorems

Related Terms

Thurston's geometrization theorem

(Geometri) In geometry, Thurston's geometrization theorem or hyperbolization theorem implies that closed atoroidal Haken manifolds are hyperbolic, and in particular satisfy the Thurston conjecture

Bertrand-Chebyshev theorem

the theorem that there is at least one prime number between n and 2n for every n>1, i.e.:

\forall n\in\mathbb{N}:n>1\Rightarrow\exists p\in\mathbb{P}:n.

Cantor-Bendixson theorem

A theorem which states that a closed set in a Polish space is the disjoint union of a countable set and a perfect set

From the Cantor-Bendixson theorem it can be deduced that an uncountable set in \mathbb{R} must have an uncountable number of limit points.

Chebyshev's theorem

an alternative name for Chebyshev's inequality

Chebyshev's theorem

the theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:

\forall x\in\mathbb{N}:.

Chebyshev's theorem

an alternative name for Bertrand's postulate, as proven by Chebyshev

Goodstein's theorem

A theorem stating that every Goodstein sequence eventually terminates at zero

Green's theorem

A generalization of the fundamental theorem of calculus to the two-dimensional plane, which states that given two scalar fields P and Q and a simply connected region R, the area integral of derivatives of the fields equals the line integral of the fields, or

\iint_R \left( {\partial Q \over \partial x} - {\partial P \over \partial y}\right) dx \, dy = \oint_{\partial R} P\, dx + Q\, dy .

Green's theorem

Letting \vec G = (P, Q) be a vector field, and d\vec l = (dx, dy) this can be restated as

with the earlier formula resembling Stoke's theorem, and the latter resembling the divergence theorem.

Gödel's incompleteness theorem

A theorem in mathematical logic that states that no consistent system can be used to prove its own consistency

Noether's theorem

A theorem, proven by Emmy Noether in 1915 and published in 1918, stating that any differentiable symmetry of the action of a physical system has a corresponding conservation law

Pythagorean theorem

A generalization of the Pythagorean theorem (1) to Hilbert spaces

Pythagorean theorem

A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides

Vitali-Carathéodory theorem

A theorem which states that any real-valued Lebesgue integrable function can be approached arbitrarily closely from below by an upper semicontinuous function and also from above by a lower semicontinuous function

binomial theorem

A formula giving the expansion of a binomial such as ( a + b ) raised to any positive integer power, i.e. ( a + b )^{n} . It's possible to expand the power into a sum of terms of the form ax^{b}y^{c} where the coefficient of each term is a positive integer. For example:

x+y ^4 \;=\; x^4 \,+\, 4 x^3y \,+\, 6 x^2 y^2 \,+\, 4 x y^3 \,+\, y^4.

central limit theorem

The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed

central limit theorem

Any of various similar theorems

hairy ball theorem

Given a sphere covered in fur, one cannot brush all the hairs flat without creating at least two whirls

hairy ball theorem

There is no nonvanishing continuous tangent vector field on the sphere

infinite monkey theorem

The proposition that a monkey, hitting typewriter keys at random will produce a large amount of sensible text (typically a work by Shakespeare) given an infinite amount of time

intermediate value theorem

a statement that claims that for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value

mean value theorem

a statement that claims that given an arc of a differentiable curve, there is at least one point on that arc at which the derivative of the curve is equal to the average derivative of the arc

scallop theorem

A theorem which states that to achieve propulsion at low Reynolds number in simple (i.e. Newtonian) fluids, a swimmer must deform in a way that is not invariant under time-reversal

virial theorem

A theorem in mechanics showing the relationship between the kinetic energy of a system to the virial of Clausius

hyperbolization theorem

(Geometri) In geometry, Thurston's geometrization theorem or hyperbolization theorem implies that closed atoroidal Haken manifolds are hyperbolic, and in particular satisfy the Thurston conjecture

pinching theorem

In calculus, the squeeze theorem (also known as the pinching theorem or the sandwich theorem, sometimes the squeeze lemma) is a theorem regarding the limit of a function. The theorem asserts that if two functions approach the same limit at a point, and if a third function is "squeezed" ("pinched", "sandwiched") between those functions, then the third function also approaches that limit at that point

sandwich theorem

In calculus, the squeeze theorem (also known as the pinching theorem or the sandwich theorem, sometimes the squeeze lemma) is a theorem regarding the limit of a function. The theorem asserts that if two functions approach the same limit at a point, and if a third function is "squeezed" ("pinched", "sandwiched") between those functions, then the third function also approaches that limit at that point

squeeze theorem

In calculus, the squeeze theorem (also known as the pinching theorem or the sandwich theorem, sometimes the squeeze lemma) is a theorem regarding the limit of a function. The theorem asserts that if two functions approach the same limit at a point, and if a third function is "squeezed" ("pinched", "sandwiched") between those functions, then the third function also approaches that limit at that point

Bayes' Theorem

(Ticaret) A formula that considers the conditional probability of the existence of a given event or variable as being caused by a second variable, and the probability of the occurrence of the second variable

Fermat's last theorem

Statement that there are no natural numbers x, y, and z such that x^n + y^n = z^n, in which n is a natural number greater than

Fermat's last theorem

About this, Pierre de Fermat wrote in 1637 in his copy of Diophantus's Arithmetica, "I have discovered a truly remarkable proof but this margin is too small to contain it." Although the theorem was subsequently shown to be true for many specific values of n, leading to important mathematical advances in the process, the difficulty of the problem soon convinced mathematicians that Fermat never had a valid proof. In 1995 the British mathematician Andrew Wiles (b. 1953) and his former student Richard Taylor (b. 1962) published a complete proof, finally solving one of the most famous of all mathematical problems

Gödel's theorem

Principle of the foundations of mathematics. One of the most important discoveries of 20th-century mathematics, it states the impossibility of defining a complete system of axioms that is also consistent (does not give rise to contradictions). Any formal system (e.g., a computer program or a set of mathematical rules and axioms) powerful enough to generate meaningful statements can generate statements that are true but that cannot be proven or derived within the system. As a consequence, mathematics cannot be placed on an entirely rigorous basis. Named for Kurt Godel, who published his proof in 1931, it immediately had consequences for philosophy (particularly logic) and other areas. Its ramifications continue to be debated

Jordan curve theorem

The theorem that states that every simple closed curve divides a plane into two parts and is the common boundary between them

Pythagorean theorem

mathematical theory developed by Pythagoras (Greek mathematician)

Pythagorean theorem

n. The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse. Rule relating the lengths of the sides of a right triangle. It says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (the side opposite the right angle). That is, a^2 + b^2 = c^2, where c is the length of the hypotenuse. Triads of whole numbers that satisfy it (e.g., 3, 4, and 5) are called Pythagorean triples. See also law of cosines; law of sines

Rolle's theorem

A theorem stating that if a curve is continuous, has two x-intercepts, and has a tangent at every point between the intercepts, at least one of these tangents is parallel to the x-axis. Special case of the mean-value theorem of differential calculus. It states that if a continuous curve passes through the x-axis twice within a given interval and has a unique tangent line at every point of that interval, then somewhere between the two points of interception it has a tangent parallel to the x-axis

bayes' theorem

(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause

binomial theorem

{i} mathematical formula that provides the expansion of a binomial raised to any power

binomial theorem

a theorem giving the expansion of a binomial raised to a given power

binomial theorem

The theorem that specifies the expansion of any power (a + b). In algebra, a formula for expansion of the binomial (x + y) raised to any positive integer power. A simple case is the expansion of (x + y)^2, which is x^2 + 2xy + y^2. In general, the expression (x + y)^n expands to the sum of (n + 1)terms in which the power of x decreases from n to 0 while the power of y increases from 0 to n in successive terms. The terms can be represented in factorial notation by the expression [n!/((n -r)!r!)]x^n -ry^r in which r takes on integer values from 0 to n

binominal theorem

algebraic theorem developed by Sir Isaac Newton

central limit theorem

In statistics, any of several fundamental theorems in probability. Originally known as the law of errors, in its classic form it states that the sum of a set of independent random variables will approach a normal distribution regardless of the distribution of the individual variables themselves, given certain general conditions. Further, the mean (see mean, median, and mode) of the normal distribution will coincide with the (arithmetic) mean of the (statistical) means of each random variable

congruence theorem

formula which declares triangles to be exactly coinciding (Geometry)

fundamental theorem of algebra

Theorem of equations proved by Carl Friedrich Gauss in 1799. It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers

fundamental theorem of arithmetic

Fundamental principle of number theory proved by Carl Friedrich Gauss in 1801. It states that any integer greater than 1 can be expressed as the product of prime numbers in only one way

fundamental theorem of calculus

Basic principle of calculus. It relates the derivative to the integral and provides the principal method for evaluating definite integrals (see differential calculus; integral calculus). In brief, it states that any function that is continuous (see continuity) over an interval has an antiderivative (a function whose rate of change, or derivative, equals the function) on that interval. Further, the definite integral of such a function over an interval a x b is the difference F(b) -F(a), where F is an antiderivative of the function. This particularly elegant theorem shows the inverse function relationship of the derivative and the integral and serves as the backbone of the physical sciences. It was articulated independently by Isaac Newton and Gottfried Wilhelm Leibniz

multinomial theorem

The theorem that establishes the rule for forming the terms of the nth power of a sum of numbers in terms of products of powers of those numbers

theorems

plural of theorem

Turkish - English

Definition of theorem in Turkish English dictionary

Related Terms

Coase theorem

In law and economics, the Coase theorem, attributed to Ronald Coase, describes the economic efficiency of an economic allocation or outcome in the presence of externalities. The theorem states that when trade in an externality is possible and there are no transaction costs, bargaining will lead to an efficient outcome regardless of the initial allocation of property rights. Obstacles to bargaining are often sufficient to prevent this efficient outcome, leaving normative Coase theorem to prevail over positive Coase theorem

Hyphenation

the·o·rem

Turkish pronunciation

thîrım

Synonyms

lemma, proposition, statement, conjecture, assumption, axiom, belief, deduction, dictum, doctrine, formula, fundamental, law, postulate, principium

Antonyms

fact, proof

Pronunciation

/ˈᴛʜərəm/ /ˈθɪrəm/

Etymology

[ 'thE-&-r&m, 'thi(-& ] (noun.) 1551. Via Late Latin theōrēma, from Ancient Greek θεώρημα (theōrēma, “speculation, proposition to be proved”) (Euclid) θεωρέω (theōreō, “I look at, view, consider, examine”) θεωρός (theōros, “spectator”) θέα (thea, “a view”) + ὁράω (oraō, “I see, look”). See also theory, and theater.