Meaning & Definition of word "Theorem"
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Theorem
/ˈθiːərəm/
noun:
- 1. A proposition that has been or is to be proved on the basis of explicit assumptions and previously established statements, such as other theorems.
- Example: According to the Pythagorean theorem, in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
- 2. A general principle or law that has been established by reasoning or mathematical proof.
- Example: Cantor's theorem demonstrates that there are different sizes of infinity.
- 3. An idea or principle believed to be true but not yet proven.
- Example: The scientist proposed a new theorem regarding the behavior of subatomic particles.
- 4. In mathematics, a formal statement, often formulated as a mathematical equation, that can be derived from an axiomatic system.
- Example: The fundamental theorem of calculus links the concept of differentiation and integration.
Etymology
From Greek 'theorein' meaning 'to view, to contemplate'.
Common Phrases and Expressions
fundamental theorem:
A theorem that is central to a particular field of study.
theorem of calculus:
A key theorem in calculus that ties together the concepts of differentiation and integration.
Related Words
proof:
A logical argument demonstrating the truth of a theorem.
axiom:
A statement or proposition that is regarded as being self-evidently true.
lemma:
A subsidiary or intermediate theorem in an argument or proof.
Slang Meanings of theorem
Meaning: A clever or smart solution to a problem.
Example Sentence: That idea is a real theorem for getting out of this mess!
Meaning: A joke or humorous take on a complex idea.
Example Sentence: I came up with a hilarious theorem about why cats always land on their feet.