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  2. Equality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Equality_(mathematics)

    In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] [2] Equality between A and B is written A = B, and pronounced "A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side ...

  3. Fundamental Rights, Directive Principles and Fundamental ...

    en.wikipedia.org/wiki/Fundamental_Rights...

    The Preamble of the Constitution of India – India declaring itself as a country. The Fundamental Rights, Directive Principles of State Policy and Fundamental Duties are sections of the Constitution of India that prescribe the fundamental obligations of the states to its citizens and the duties and the rights of the citizens to the State. These sections are considered vital elements of the ...

  4. Declaration of Principles on Equality - Wikipedia

    en.wikipedia.org/wiki/Declaration_of_Principles...

    The need to formulate general legal principles on equality was defined on the basis of (i) acknowledging the pervasiveness of discrimination and the weaknesses in the protection of the right to equality at both international and national levels, (ii) the absence of comprehensive equality legislation in many countries around the world and the recognition that such legislation is necessary to ...

  5. Titu's lemma - Wikipedia

    en.wikipedia.org/wiki/Titu's_Lemma

    In mathematics, the following inequality is known as Titu's lemma, Bergström's inequality, Engel's form or Sedrakyan's inequality, respectively, referring to the article About the applications of one useful inequality of Nairi Sedrakyan published in 1997, [1] to the book Problem-solving strategies of Arthur Engel published in 1998 and to the book Mathematical Olympiad Treasures of Titu ...

  6. Identity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Identity_(mathematics)

    Visual proof of the Pythagorean identity: for any angle , the point (,) = (⁡, ⁡) lies on the unit circle, which satisfies the equation + =.Thus, ⁡ + ⁡ =. In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables ...

  7. Proportion (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(mathematics)

    A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means.. Proportion can be written as =, where ratios are expressed as fractions.

  8. Theory of pure equality - Wikipedia

    en.wikipedia.org/wiki/Theory_of_pure_equality

    The pure theory of equality contains formulas of first-order logic with equality, where the only predicate symbol is equality itself and there are no function symbols. Consequently, the only form of an atomic formula is x = y {\displaystyle x=y} where x , y {\displaystyle x,y} are (possibly identical) variables.

  9. Right to education - Wikipedia

    en.wikipedia.org/wiki/Right_to_education

    The right to education has been recognized as a human right in a number of international conventions, including the International Covenant on Economic, Social and Cultural Rights which recognizes a right to free, primary education for all, an obligation to develop secondary education accessible to all with the progressive introduction of free secondary education, as well as an obligation to ...