theorem
A theorem is a rule in mathematics or science that has been proven to be true using logic. It is a statement that follows from other facts and is often used to solve complex problems.
Examples
3 of 5I used a basic theorem to help me calculate the distance.
I used a basic theorem to help me calculate the distance.
The professor published a paper demonstrating a new mathematical theorem.
The professor published a paper demonstrating a new mathematical theorem.
Do you remember the theorem we talked about in school today?
Do you remember the theorem we talked about in school today?
Antonyms
Word Family
Memory Tip
Think of the 'm' at the end of theorem as standing for 'Math.' A theorem is a math theory that is 100% proven.
Quick Quiz
The student had to _______ the theorem during the math competition.
Correct!
The correct answer is: prove
Examples
I used a basic theorem to help me calculate the distance.
everydayI used a basic theorem to help me calculate the distance.
The professor published a paper demonstrating a new mathematical theorem.
formalThe professor published a paper demonstrating a new mathematical theorem.
Do you remember the theorem we talked about in school today?
informalDo you remember the theorem we talked about in school today?
Students must understand the Pythagorean theorem before starting the geometry exam.
academicStudents must understand the Pythagorean theorem before starting the geometry exam.
The architectural design relies on a specific geometric theorem for structural stability.
businessThe architectural design relies on a specific geometric theorem for structural stability.
Antonyms
Word Family
Common Collocations
Common Phrases
Pythagoras' theorem
Pythagoras' theorem
binomial theorem
binomial theorem
limit theorem
limit theorem
Often Confused With
A theory is a general idea or explanation, while a theorem is a specific, proven rule in mathematics.
Usage Notes
The word 'theorem' is primarily used in mathematics and logic to describe a statement that has been formally proven. It is rarely used in casual conversation unless discussing academic subjects.
Common Mistakes
Learners often use 'theory' when they mean 'theorem.' Remember that a theorem is a proven fact, while a theory might still be tested.
Memory Tip
Think of the 'm' at the end of theorem as standing for 'Math.' A theorem is a math theory that is 100% proven.
Word Origin
Derived from the Greek 'theōrēma,' which means 'a thing to be looked at' or 'a sight.'
Grammar Patterns
Quick Quiz
The student had to _______ the theorem during the math competition.
Correct!
The correct answer is: prove
Related Vocabulary
Logic is the systematic study of valid inference and the pri...
geometryGeometry is a branch of mathematics that studies shapes, siz...
calculusCalculus is a high-level branch of mathematics that studies...
equationA mathematical statement asserting the equality of two expre...
axiomAn axiom is a statement or proposition that is regarded as b...
proofProof is a fact or a piece of information that shows somethi...
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