Split term method, which is the concrete application of the idea of decomposition and combination in the summation of series. It is to decompose each item (general item) in the sequence, and then recombine it, so that it can eliminate some items and finally achieve the purpose of summation. The relationship between multiples of general term decomposition (split term). Usually used in algebra, fractions, and sometimes integers.
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Mathematics, which originated in ancient Greece, is a subject that studies concepts such as quantity, structure, change, space and information.
Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for studying and studying modern science and technology.
Aristotle defined mathematics as "quantitative mathematics", which lasted until18th century. /kloc-since the 0/9th century, mathematical research has become more and more rigorous, and it has begun to involve abstract topics such as group theory and projection geometry that have no clear relationship with quantity and measurement. Mathematicians and philosophers have begun to put forward various new definitions.
Some of these definitions emphasize the deductive nature of a lot of mathematics, some emphasize its abstraction, and some emphasize some themes in mathematics. Even among professionals, the definition of mathematics has not been reached.
Whether mathematics is an art or a science has not even been decided. [8] Many professional mathematicians are not interested in the definition of mathematics, or think it is undefined. Some just said, "Mathematics is done by mathematicians."
The three main mathematical definitions are called logicians, intuitionists and formalists, each of which reflects a different school of philosophical thought. Everyone has serious problems, no one generally accepts it, and no reconciliation seems feasible.