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Free state is a term occasionally used in the official titles of some states throughout the world with varying meanings depending on the context. In principle, the title asserts and emphasises a particular freedom of the state in question, but this is not always reflected in practice.
In the mathematical theory of free probability, the notion of free independence was introduced by Dan Voiculescu. [1] The definition of free independence is parallel to the classical definition of independence, except that the role of Cartesian products of measure spaces (corresponding to tensor products of their function algebras) is played by the notion of a free product of (non-commutative ...
The Irish Free State seceded from the United Kingdom of Great Britain and Ireland by agreement in accordance with the terms of the Anglo-Irish Treaty and the Irish Free State Constitution Act 1922, however Northern Ireland opted to exclude itself from the Irish Free State two days later creating the United Kingdom of Great Britain and Northern ...
In mathematics, a function is a rule for taking an input (in the simplest case, a number or set of numbers) [5] and providing an output (which may also be a number). [5] A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. [6]
The 2023 Index of Economic Freedom, published by The Heritage Foundation and The Wall Street Journal [1]. This article includes a partial list of countries by economic freedom that shows the top 50 highest ranking countries and regions from two reports on economic freedom.
The Voortrekkers proclaimed separate independent republics, most notably Natalia Republic, the Orange Free State and the South African Republic (the Transvaal). However, after the Second Anglo-Boer War (1899-1902), British rule led to the dissolution of the last two remaining Boer states (the Orange Free State and the South African Republic).
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.
Determinism is often contrasted with free will, although some philosophers claim that the two are compatible. [2] [3] A more extreme antonym of determinism is indeterminism, or the view that events are not deterministically caused but rather occur due to random chance.