Q.E.F.

/ˌkjuː iː ˈɛf/

प्रमाण समाप्त/सिद्ध हुआ (गणितीय प्रमाण के अंत में लिखा जाने वाला संक्षेप)

Origin & History

From Latin (traditionally expanded as “quod erat faciendum,” ‘which was to be done’), used in geometry and proofs; often treated as interchangeable in practice with Q.E.D.

लैटिन से (परंपरागत विस्तार: “quod erat faciendum,” अर्थात ‘जो किया जाना था’), ज्यामिति और गणितीय प्रमाणों में प्रयुक्त; व्यवहार में प्रायः Q.E.D. के समान माना जाता है।

Definition

Q.E.F. is used at the end of a mathematical proof to indicate that the required statement has been proved; it is essentially equivalent to Q.E.D. and comes from Latin.

Q.E.F. गणितीय प्रमाण के अंत में लिखा जाता है ताकि बताया जा सके कि अपेक्षित कथन सिद्ध हो गया है; यह मूलतः Q.E.D. के बराबर है और इसका स्रोत लैटिन है।

Parts of Speech

Abbreviation:
Therefore the sequence converges, Q.E.F.
अतः श्रेणी अभिसरित होती है, Q.E.F.

Usage Examples

After completing the proof, the author wrote “Q.E.F.” to mark its conclusion.
In older texts you may see Q.E.F. used where modern books prefer Q.E.D.
The lemma is now established—Q.E.F.

Antonyms

Unproved Disproved Unestablished

Related Forms

Noun
Proof / Demonstration / Lemma / Theorem
Verb
Adjective
Adverb

Idioms & Phrases

Q.E.F.
सिद्ध हुआ (प्रमाण का समापन सूचक संक्षेप)