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A principle is a fundamental truth or proposition that serves as the foundation for a system of beliefs or behavior or a chain of reasoning. [2] That is a guide for behavior or evaluation. In law, it is a rule that has to be or usually is to be followed. It can be desirably followed, or it can be an inevitable consequence of something, such as ...
In Latin, most verbs have four principal parts.For example, the verb for "to carry" is given as portō – portāre – portāvī – portātum, where portō is the first-person singular present active indicative ("I carry"), portāre is the present active infinitive ("to carry"), portāvī is the first-person singular perfect active indicative ("I carried"), and portātum is the neuter supine.
In philosophy and science, a first principle is a basic proposition or assumption that cannot be deduced from any other proposition or assumption. First principles in philosophy are from first cause [1] attitudes and taught by Aristotelians , and nuanced versions of first principles are referred to as postulates by Kantians .
Le Chatelier's principle (pronounced UK: / lə ʃæˈtɛljeɪ / or US: / ˈʃɑːtəljeɪ / ), also called Chatelier's principle (or the Equilibrium Law ), [1] [2] is a principle of chemistry used to predict the effect of a change in conditions on chemical equilibrium. [3] The principle is named after French chemist Henry Louis Le Chatelier ...
Principal ideal domain. In mathematics, a principal ideal domain, or PID, is an integral domain in which every ideal is principal, i.e., can be generated by a single element. More generally, a principal ideal ring is a nonzero commutative ring whose ideals are principal, although some authors (e.g., Bourbaki) refer to PIDs as principal rings.
Title or rank. Principal (academia), the chief executive of a university. Principal (education), the head of a school. Principal (civil service) or principal officer, the senior management level in the UK Civil Service. Principal dancer, the top rank in ballet. Principal (music), the top rank in an orchestra.
Principal ideal. In mathematics, specifically ring theory, a principal ideal is an ideal in a ring that is generated by a single element of through multiplication by every element of The term also has another, similar meaning in order theory, where it refers to an (order) ideal in a poset generated by a single element which is to say the set of ...
Although the pigeonhole principle appears as early as 1624 in a book attributed to Jean Leurechon, it is commonly called Dirichlet's box principle or Dirichlet's drawer principle after an 1834 treatment of the principle by Peter Gustav Lejeune Dirichlet under the name Schubfachprinzip ("drawer principle" or "shelf principle").