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Linear independence. In the theory of vector spaces, a set of vectors is said to be linearly independent if there exists no nontrivial linear combination of the vectors that equals the zero vector. If such a linear combination exists, then the vectors are said to be linearly dependent. These concepts are central to the definition of dimension.
Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.Two events are independent, statistically independent, or stochastically independent [1] if, informally speaking, the occurrence of one does not affect the probability of occurrence of the other or, equivalently, does not affect the odds.
Independence is a condition of a nation, country, or state, in which residents and population, or some portion thereof, exercise self-government, and usually sovereignty, over its territory. The opposite of independence is the status of a dependent territory or colony. The commemoration of the independence day of a country or nation celebrates ...
An independent voter, often also called an unaffiliated voter or non-affiliated voter in the United States, is a voter who does not align themselves with a political party.An independent is variously defined as a voter who votes for candidates on issues rather than on the basis of a political ideology or partisanship; [1] a voter who does not have long-standing loyalty to, or identification ...
In probability theory and statistics, a collection of random variables is independent and identically distributed if each random variable has the same probability distribution as the others and all are mutually independent. [1] This property is usually abbreviated as i.i.d., iid, or IID. IID was first defined in statistics and finds application ...
Independent agencies exist outside the federal executive departments (those headed by a Cabinet secretary) and the Executive Office of the President. [1]: 6 There is a further distinction between independent executive agencies and independent regulatory agencies, which have been assigned rulemaking responsibilities or authorities by Congress.
Independent media refers to any media, such as television, newspapers, or Internet -based publications, that is free of influence by government or corporate interests. The term has varied applications. Independence stands as a cornerstone principle within media policy and the freedom of the press, representing an "essentially contested concept".
e. The Declaration of Independence, formally titled The unanimous Declaration of the thirteen united States of America in both the engrossed version and the original printing, is the founding document of the United States. On July 4, 1776, it was adopted unanimously by the 56 delegates to the Second Continental Congress, who convened at the ...