Anabelian geometry
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Anti-isomorphismIn category theory, a branch of mathematics, an antiisomorphism (or anti-isomorphism) between structured sets A and B is an isomorphism from A to the ...
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Anti-homomorphismIn mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomo ...
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数学数学是研究数量、结构以及空间等概念及其变化的一门学科,属于形式科学的一种。数学利用抽象化和逻辑推理,从计数、计算、量度、对物体形状及运动的观察发展而成。数学家们拓展这些概念,以公式化新的猜想,以及从选定的公理及定义出发,严谨地推导出一些定理。基础数学的知识与运用是生活中不可或缺的一环。对数学基本概念 ...
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概率学暂无描述
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运算最常见的运算是实数的加法和乘法。例如,在加法中,$3+2=5$表示给定一个整数的有序对$(3,2)$,有一个对应的数字$5$。通过观察这个性质,我们可以在更一般的集合论背景中,定义运算。 ...
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Algebraic structureAn algebraic structure is a non-empty set equipped with a collection of operations such that some additional axioms are satisfied. Common examples of ...
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GroupsGroup is one of the algebraic structure in mathematics. The concept of groups was originated by Galois in the 19th century from his research on polyno ...
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Abstract algebraAbstract algebra is a branch of mathematics which focuses on the study of algebraic structures. It mainly studies the abstract aspect of algebra. In o ...
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Arithmetic geometryAlgebraic geometry studies the set of solutions of a multivariable polynomial equation (or a system of such equations), usually over $\mathbb{R}$ or $ ...
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Algebraic geometryAlgebraic geometry is a branch of mathematics, which makes use of techniques of abstract algebra to study geometry. Algebraic geometry is wide and pro ...
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Homological algebraHomological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose orig ...
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