- necessary and sufficient conditions

*Philosophy dictionary.
Academic.
2011.*

- necessary and sufficient conditions

*Philosophy dictionary.
Academic.
2011.*

**Necessary and sufficient condition**— This article is about the formal terminology in logic. For causal meanings of the terms, see Causality. In logic, the words necessity and sufficiency refer to the implicational relationships between statements. The assertion that one statement is … Wikipedia**necessary and sufficient condition**— condition that without which nothing will happen and upon whose fulfillment there is no need for any other conditions (Logic) … English contemporary dictionary**necessary**— necessariness, n. /nes euh ser ee/, adj., n., pl. necessaries. adj. 1. being essential, indispensable, or requisite: a necessary part of the motor. 2. happening or existing by necessity: a necessary change in our plans. 3. acting or proceeding… … Universalium**Integrability conditions for differential systems**— In mathematics, certain systems of partial differential equations are usefully formulated, from the point of view of their underlying geometric and algebraic structure, in terms of a system of differential forms. The idea is to take advantage of… … Wikipedia**Leibniz: truth, knowledge and metaphysics**— Nicholas Jolley Leibniz is in important respects the exception among the great philosophers of the seventeenth century. The major thinkers of the period characteristically proclaim the need to reject the philosophical tradition; in their… … History of philosophy**Socrates and the beginnings of moral philosophy**— Hugh H.Benson INTRODUCTION Cicero in Tusculan Disputations famously tells us that Socrates first called philosophy down from the sky, set it in cities and even introduced it into homes, and compelled it to consider life and morals, good and evil … History of philosophy**If and only if**— Iff redirects here. For other uses, see IFF (disambiguation). ↔ ⇔ ≡ Logical symbols representing iff. In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between… … Wikipedia**Maxima and minima**— For other uses, see Maxima (disambiguation) and Maximum (disambiguation). For use in statistics, see Maximum (statistics). Local and global maxima and minima for cos(3πx)/x, 0.1≤x≤1.1 In mathematics, the maximum and minimum (plural: maxima and… … Wikipedia**harbours and sea works**— Introduction harbour also spelled harbor any part of a body of water and the manmade structures surrounding it that sufficiently shelters a vessel from wind, waves, and currents, enabling safe anchorage or the discharge and loading of… … Universalium**Karush–Kuhn–Tucker conditions**— In mathematics, the Karush–Kuhn–Tucker (KKT) conditions (also known as the Kuhn–Tucker conditions) are necessary for a solution in nonlinear programming to be optimal, provided that some regularity conditions are satisfied. Allowing inequality… … Wikipedia