strict adj

1 (of rules) stringently enforced; "hard-and-fast rules" [syn: hard-and-fast]

2 rigidly accurate; allowing no deviation from a standard; "rigorous application of the law"; "a strict vegetarian" [syn: rigorous]

3 incapable of compromise or flexibility [syn: rigid]

4 not indulgent; "strict parents" [syn: nonindulgent]

5 unsparing and uncompromising in discipline or judgment; "a parent severe to the pitch of hostility"- H.G.Wells; "a hefty six-footer with a rather severe mien"; "a strict disciplinarian"; "a Spartan upbringing" [syn: severe, spartan]

6 severe and unremitting in making demands; "an exacting instructor"; "a stern disciplinarian"; "strict standards" [syn: stern, exacting]

English

Etymology

From strictus

Pronunciation

• /strɪkt/
• Rhymes with: -ɪkt

Adjective

1. Strained; drawn close; tight; as, a strict embrace; a strict ligature.
2. Tense; not relaxed; as, a strict fiber.
3. Exact; accurate; precise; rigorously nice; as, to keep strict watch; to pay strict attention.
4. Governed or governing by exact rules; observing exact rules; severe; rigorous; as, very strict in observing the Sabbath.
5. Rigidly interpreted; exactly limited; confined; restricted; as, to understand words in a strict sense.
6. Upright, or straight and narrow; — said of the shape of the plants or their flower clusters.
7. Severe in discipline

Translations

• Arabic:
• Chinese: 嚴格, 严格 (yángé)
• Dutch: streng
• Finnish: tarkka, ankara
• French: strict
• German: streng
• Hungarian: szigorú
• Italian: severo
• Japanese: 厳しい (kibishii)
• Korean: 엄격한 (eomkyeokhan)
• Portuguese: severo
• Russian: строгий (strógij)
• Spanish: estricto
• Swedish: sträng

French

Etymology

From strictus

Pronunciation

Adjective

1. strict

In mathematical writing, the adjective strict is used to modify technical terms which have multiple meanings. It indicates that the exclusive meaning of the term is to be understood. (More formally, one could say that this is the meaning which implies the other meanings.) The opposite is non-strict. This is often implicit but can be put explicitly for clarity.

This term is commonly used in the context of inequalities — the phrase "strictly less than" means "less than and not equal to" (likewise "strictly greater than" means "greater than and not equal to"). More generally a , strict total order and strict weak order exclude equality and equivalence.

A related use occurs when comparing numbers to zero — "strictly positive" and "strictly negative" mean "positive and not equal to zero" and "negative and not equal to zero", respectively. Also, in the context of functions, the adverb "strictly " is used to modify the terms "monotonic", "increasing", and "decreasing".

On the other hand, sometimes one wants to specify the inclusive meanings of terms. In the context of comparisons, one can use the phrases "non-negative", "non-positive", "non-increasing", and "non-decreasing" to make it clear that the inclusive sense of the terms is intended.

Using such terminology helps avoid possible ambiguity and confusion. For instance, upon reading the phrase "x is positive", it is not immediately clear whether x = 0 is possible, since some authors might use the term positive loosely, and mean that x is not less than zero. Therefore, it is prudent to write "x is strictly positive" for x>0 and "x is non-negative" for x≥0. (A precise term like non-negative is never used with the word negative in the wide, loose sense that includes zero.)

The word "proper" is often used in the same way as "strict." For example, a "proper subset" of a set S is a subset that is not equal to S itself, and a "proper class" is a class which is not also a set.

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