What is mathematics made up of 5, the difference between representation and composition in mathemati

In mathematics, "representation" and "composition" are two different concepts.

Representation usually refers to the way in which a mathematical object is described or expressed. For example, a vector can be represented by coordinates, a function can be represented by a formula, a set can be represented by a list of elements or descriptive text, and so on.

Composition refers to the basic elements that make up a mathematical object. For example, a polynomial can be composed of coefficients and powers of terms, a matrix can be composed of elements, a fraction can be composed of numerators and denominators, and so on.

In some cases, representation and composition are closely related. For example, in the high impulse of the sex generation, the representation of a matrix can be changed to affect its composition, because different representations may lead to different arrangements of matrix elements. But in other cases, representation and composition are independent, for example, in mathematical analysis, the way a function is represented does not affect its grouping, because the basic elements of a function are its own defined and valued domains.

1. Mathematical composition refers to the mathematical structure, also known as the relational structure, referred to as the structure, which is a basic concept of modern slow orange round mathematics and a general term for various mathematical objects. In mathematics, a structure on a set, or more generally a type, is made up of mathematical objects attached to the set that make the set easier to manipulate or give them special meaning. Common structures include metrics, algebraic structures, topologies, metric geometry, perturbation order, and equivalence relations.

2. Mathematics is a discipline that studies concepts such as quantity, structure, change, space, and information, and belongs to a kind of formal science from a certain point of view. Mathematicians and philosophers have a range of opinions about the exact scope and definition of mathematics. Mathematics also plays an irreplaceable role in the historical development and social life of mankind, and is also an indispensable basic tool for learning and researching modern science and technology.

1. Mathematics is a discipline that studies the concepts of quantity, structure, change, space, and information.

2. Mathematics is a general means for human beings to strictly describe the abstract structure and pattern of things, which can be applied to any problem in the real world, and all mathematical objects are essentially artificially defined. In this sense, mathematics belongs to the formal sciences, not the natural sciences. Different mathematicians and philosophers have a range of opinions on the exact scope and definition of mathematics.

3. Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for learning and researching modern science and technology.

Mathematics is called arithmetic, also known as arithmetic, and finally changed to mathematics.

Mathematics (Hanyu pinyin: shù xué; Greek: English: mathematics or maths), which derives from the ancient Greek máthēma), means to learn, to learn, to learn.

Ancient Greek scholars regarded it as the starting point of philosophy, "the foundation of learning". In addition, there is a narrower and more technical meaning - "mathematical research". Even within its etymology, its adjective meaning, which is related to learning, is used for exponentialism.

A Brief History of Western Mathematics.

The evolution of mathematics can be seen as a continuous development of abstraction, or an extension of subject matter, and Eastern and Western cultures have adopted different perspectives, with European civilization developing geometry and China developing arithmetic. The first abstract concept was probably the number (Chinese arithmetic), and the recognition of something in common between two apples and two oranges was a breakthrough in human thought.

In addition to knowing how to count the number of physical objects, prehistoric humans also knew how to count the number of abstract concepts such as time—days, seasons, and years. Arithmetic (addition, subtraction, multiplication, and division) also comes naturally.