theorem
/ˈθiː.ə.ɹəm/
Meanings
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noun
A mathematical statement that has been proven to be true.
- "Fermat's Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than 2."
- "Pythagorean Theorem is a fundamental principle in geometry, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides."
Synonyms
lemma , proposition , statement , conjecture
Rhymes
Words rhyming with theoremthemes , seems , beams
Variants
List of all variants of theorem that leads to same resulttheorem , theorematic , theorems , Bayes theorem , Bayes' theorem , Bayes's theorem , binomial theorem , binomial theorems , central limit theorem , central limit theorems , DeMoivre's theorem , DeMoivre's theorems , Fermat's last theorem , Fermat's last theorems , Fourier's theorem , Fourier's theorems , Godel's incompleteness theorem , Godel's theorem , Jordan curve theorem , Jordan curve theorems , mean value theorem , mean value theorems
Etymology
origin and the way in which meanings have changed throughout history.From the Greek word 'theorema' meaning 'something seen, viewed, or contemplated'.
Trivia
Any details, considerations, events or pieces of information regarding the word-
The first recorded use of the word 'theorem' was in Euclid's Elements, around 300 BC.
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The longest proof of a theorem in mathematics is the proof of the Four Color Theorem, which has over 1,400 pages.
Related Concepts
informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to-
Proposition: A mathematical statement that is yet to be proven or disproven. A theorem is a proven proposition.
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Axiom: A statement that is taken to be true without proof. A theorem is a proven statement.
Culture
Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.Theorem has been a fundamental concept in mathematics since ancient times. It has been used extensively in various mathematical fields such as algebra, geometry, and calculus. Theorems have been named after mathematicians, and have been the subject of famous proofs and mathematical discoveries.
How to Memorize "theorem"
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visualize
- Imagine a mathematical proof being built step by step. Each statement in the proof is a theorem.
- Visualize the process of deriving a theorem from other theorems or axioms. -
associate
- Associate the word 'theorem' with the word 'truth'.
- Think of theorems as proven facts in mathematics. -
mnemonics
- Use the acronym T-R-U-E to remember that a Theorem is a True Result in Mathematics.
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Highlighting:
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