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theorem

theorem

26 6.3
A statement that can be shown true by logic or math
  • noun
  • /ˈθiːərəm/
  • Specialized
translation icon : teorema
  • According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the other two sides.
  • theorem prover
  • theorem and proof
  • theorem proving

Do you by any chance know the cosin theorem?

Examples

  • Here on Earth, we've been discussing the Pythagorean Theorem.

  • Will I be stuck here teaching the Pythagorean Theorem over and over for the rest of my life?

    Fiction book (1998)
  • But the key result of Block's theorem is not here.

  • I want you to understand the Swiss theorem, OK?

  • Here's the proof of the theorem before it.

  • Proving such a theorem, if it were valid, would be a challenging problem.

    Fiction book (2002)
  • The sequence has an interesting connection to Pythagoras' theorem of the Golden Section.

  • Based on this reasoning, automated theorem provers can soundly prove deep properties about computer programs.

    Academic text (2011)
  • We want to write papers where we prove theorems about different compactness metrics.

    Academic text (2017)
  • An unbroken tradition stretches from Pythagoras and his theorems to Copernicus and his planetary circles.

    Fiction book (1994)

Synonyms

proposition
vstheorem
  • Specialized
49 7.2

A statement that can be true or false

is a claim established as true by proof rather than any assertive sentence
mathematical statement
vstheorem
  • Specialized
1 5.6

A clear sentence that shows a math relation or idea

is a claim proved true by logical or mathematical proof

Antonyms

513 3.5

A belief people accept as true without proof

43 7.8

An opinion formed without enough proof, like a guess

Compounds

binomial theorem
  • Specialized
1 8.4

A formula in algebra for expanding expressions like (a+b)^n into a sum of terms

Bayes' theorem
  • Specialized
1 7.3

A rule to calculate how likely a reason is from known facts and new evidence

How Proven

theorem
  • Specialized
26 6.3
proposition
  • Specialized
49 7.2
hypothesis
138 6.1
conjecture
43 7.8
guess
768 1.0

Surface Forms

theorem singular
theorems plural

Etymology

Theorem comes from the Greek word theorema, from theorein which means 'to look' or 'to observe', and it shares the same root as theatre and theory. So a theorem is a statement you can 'show' or 'see' clearly by a proof, which is why it must be proven true.