Strict
Strictly or strictly is used in a mathematical sense to change various terms. It indicates that a term should be understood in its exclusive meaning. It could be said that it is the meaning that implies the other meanings.
The word is commonly used to refer to inequalities - the terms “strictly less than” and “strictly greater than” mean “less than and not equal to” and “greater than and not equal to”, respectively. It is used in a similar way when comparing numbers with zero - “strictly positive” and “strictly negative” mean “positive and not equal to 0” or “negative and not equal to 0”. In connection with functions , the adverb "strict" is used to change the terms "monotonous", "ascending" and "descending".
On the other hand, the inclusive meaning of terms should sometimes be used. In the context of comparisons, the terms "not negative," "not positive," "not increasing," and "not decreasing" may be used to indicate that the inclusive meaning is intended.
Using such a label helps avoid possible ambiguity and confusion. For example, if you use the expression “ x is positive”, it is not immediately clear whether x = 0 is also included, as some use the term “positive” more loosely and believe that x is not less than zero. Therefore it is usually better to write “ x is strictly positive” for x > 0 and “ x is not negative” for x ≥0. A specific term such as "non-negative" is never used with "positive" in the broad, loose sense that includes zero.
Examples:
