Quotient: In mathematics, a quotient is the result of division. It refers to the number obtained when one quantity is divided by another. In a broader sense, it can be used to refer to a ratio or a proportion in non-mathematical contexts. It is used predominantly in written contexts, especially in academic and educational materials, although it can also appear in oral mathematics discussions.
Retract: To retract means to draw back or withdraw a statement, a promise, or a claim. It usually pertains to the reversal or withdrawal of something previously said or written. It is often used in formal and written contexts, such as legal documents or official statements.
Frequency of Use
Quotient: Moderately frequent in mathematical contexts; more common in written form.
Retract: Frequently used in both written and spoken contexts, often in legal, formal, and academic discussions.
Example Sentences
Quotient retract: The mathematician noted that the quotient retracts to a lower value when both numbers decrease in size.
Translation: El matemático observó que el cociente se retracta a un valor más bajo cuando ambos números disminuyen de tamaño.
Quotient retract: In a debate, the speaker had to quotient retract some of the earlier arguments made during the discussion.
Translation: En un debate, el orador tuvo que retractar algunos de los argumentos anteriores expuestos durante la discusión.
Quotient retract: If we calculate the quotient retract, we may find that assumptions made earlier need adjustments.
Translation: Si calculamos el cociente retractado, podemos encontrar que las suposiciones hechas anteriormente necesitan ajustes.
Idiomatic Expressions
The combination "quotient retract" does not commonly appear in idiomatic expressions. However, both words have their idiomatic uses:
Quotient:
"The final quotient of their efforts was a successful project."
Translation: "El cociente final de sus esfuerzos fue un proyecto exitoso."
Retract:
"He had to eat his words and retract his earlier statement."
Translation: "Tuvo que tragarse sus palabras y retractar su declaración anterior."
"She decided to retract her offer after reconsideration."
Translation: "Decidió retractar su oferta tras reconsiderarlo."
"It’s hard to retract a promise once it’s made."
Translation: "Es difícil retractar una promesa una vez hecha."
Etymology
Quotient: From Middle English "quotiens," derived from Latin quotientem, meaning “how many times” (from quot, meaning "how many").
Retract: From Middle English retracten, from Latin retractare, which combines re- (back) and tractare (to drag or pull).
Synonyms and Antonyms
Quotient:
Synonyms: Result, outcome, ratio
Antonyms: N/A (as it is a specific mathematical term)