What is the difference between necessary and sufficient conditions examples?
For example, while air is a necessary condition for human life, it is by no means a sufficient condition, i.e. it does not, by itself, i.e. alone, suffice for human life.
What is the meaning of necessary condition?
1 : a state of affairs that must prevail if another is to occur : prerequisite. 2 : a proposition whose falsity assures the falsity of another.
What is the necessary and sufficient condition for stability?
Abstract: The problem of determining the stability of a feedback system in the presence of perturbation is considered. A necessary and sufficient condition under which the perturbed system remains stable is obtained.
What does necessary mean in philosophy?
Necessity, in logic and metaphysics, a modal property of a true proposition whereby it is not possible for the proposition to be false and of a false proposition whereby it is not possible for the proposition to be true.
What is an example of sufficient?
The definition of sufficient is enough or as much as is needed. An example of sufficient is when you have just enough food. Possessing adequate talents or accomplishments; of competent power or ability; qualified; fit. A two-week training course is sufficient to get a job in the coach-driving profession.
What are examples of conditions?
The definition of condition is the state something or someone is in or can also refer to a specific illness. An example of condition is a brand new sofa with no defects. An example of a condition is a harsh work environment. An example of a condition is a cold or the flu.
What is a sufficient condition in logic?
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. In general, a necessary condition is one that must be present in order for another condition to occur, while a sufficient condition is one that produces the said condition.
What is the condition for stability?
The stability condition of a system in its final state is where all the links are | xij | ≈ 1 and xij dxij/dt > 0; either xij increases to 1 or it decreases to − 1. Fig. 5 represents a jammed state, where positive links are within a triad, and negative links are between different triads.
What is the condition for stability of a system?
What is Stability? A system is said to be stable, if its output is under control. Otherwise, it is said to be unstable. A stable system produces a bounded output for a given bounded input.
What does sufficient mean in logic?
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. The assertion that a statement is a “necessary and sufficient” condition of another means that the former statement is true if and only if the latter is true.
What kind of word is sufficient?
Sufficient comes from a Latin verb meaning “to meet the need.” If something is sufficient it has met, or satisfied, a need. Enough is often used as a synonym for sufficient, and when something is not sufficient, it is too little to take care of what’s needed.
What is the condition of a person?
a particular mode of being of a person or thing; existing state; situation with respect to circumstances. state of health: He was reported to be in critical condition.
What is the difference between “necessary” and “sufficient”?
Another important difference between the two words, ‘necessary’ and ‘sufficient’ is that the former is used in the sense of definiteness while the latter is used in the sense of indefiniteness.
What is necessary condition?
Definition of necessary condition. 1 : a state of affairs that must prevail if another is to occur : prerequisite. 2 : a proposition whose falsity assures the falsity of another.
What are necessary conditions?
necessary condition. a condition that is indispensable for the achievement of an objective. A necessary condition is usually contrasted with sufficient condition, which is viewed as the adequacy of a condition to achieve an objective.
What is necessary condition logic?
Bad logic. Necessary and sufficient conditions is a logical phrase that describes the relationship between two statements when one statement is true if and only if another statement is true. If a given statement is a necessary condition of another it must be true for the second statement to be true.