Mathematics is the study of what laws, and what mathematics is the study of

I'm in a hurry, you're so clever in asking this question.

My answer is also 14.

mathematics [English: mathematics, from the ancient Greek máthēma); Abbreviated as math or maths, Chang Zheng Tang is a discipline that studies concepts such as quantity, structure, change, space, and information. Mathematics is a universal means for humans to strictly describe the abstract structure and pattern of things, and can be applied to any problem in the real world.

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.

In the historical development and social life of mankind, mathematics plays an irreplaceable role, and it is also an indispensable basic tool for learning and researching modern science and technology. 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.

Mathematics is a fundamental discipline that studies concepts such as number, quantity, structure, change, and space, as well as their interrelationships. It uses reasoning and deduction to improve the relationships and laws between various mathematical concepts, so as to establish mathematical models and provide solutions to practical problems.

Specifically, mathematics includes many sub-fields such as number theory, algebra, geometry, topology, mathematical analysis, probability theory, and statistical theory, which involve a wide range of contents. Mathematics has become an important tool in modern science and technology, and is widely used in computer science, physics, engineering, economics, finance, biology and other fields, playing an important role.

Mathematics is the study of concepts such as quantity, structure, change, space, and information.

Mathematics is used in many different fields, including science, engineering, medicine, and economics. The application of mathematics in these areas is often referred to as applied mathematics and sometimes provokes new mathematical discoveries and the development of entirely new mathematical disciplines.

Mathematicians also study pure mathematics, that is, mathematics itself, without aiming for any practical application.

Specifically, there are sub-fields that explore the connections between the core of mathematics and other fields: from logic and set theory (the foundations of mathematics), to empirical mathematics in different sciences (applied mathematics), and more recently to the study of uncertainty (chaos and fuzzy mathematics).

Mathematics is a discipline that studies concepts such as quantity, structure, change, space, and information, and is 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.

The basic characteristics of mathematics are:

1. A high degree of abstraction and strict logic.

2. The extensiveness of the application and the accuracy of the description.

Mathematics is the language and tool of all sciences and technologies, and the concepts, formulas, and theories of mathematics have permeated textbooks and research literature in other disciplines.

Many mathematical methods have been written into software, some mathematical software as a commodity, and some have been made into chips and installed in hundreds of millions of computers and various advanced equipment, becoming the core of high-tech content of products.

3. The diversity of research objects and the unity of internal research.

Mathematics is an "organic" whole, which is like a vast, multi-layered, ever-growing, infinitely extending network. A higher-level network is made up of low-level networks and nodes, which are various concepts, propositions, and theorems.

The networks and nodes at all levels are connected by strict logic. This connection is a reflection of the inner logic of objective things.

Logicism.

Represented by Russell and Whitehead. They believe that all mathematical concepts boil down to the concepts of arithmetic of natural numbers, and that arithmetic concepts can be given by definition with the help of logic. They tried to build a system of logical axioms that included all mathematics, and from this they deduced all mathematics.

Logicism believes that mathematics is an extension of logic, and in Russell's axiom system, the non-logical axioms of choice and the axioms of infinity have to be invoked. Without these two axioms, it is impossible to derive all arithmetic, let alone all mathematics. Of course, Russell's axiom system fully developed the axiom system of mathematical logic, and on this basis, it showed rich mathematical content, which played a great role in promoting the study of mathematical logic and mathematical foundations, and made great contributions.

Intuitionism. Also known as constructivism. Its exponent is Brouwer. Intuitionists believe that mathematics arises from intuition, and that arguments can only be constructed, and they believe that natural numbers are the basis of mathematics.

When proving that a mathematical proposition is correct, it must be constructed, otherwise it is meaningless, intuitionism holds that classical logic is abstracted from infinite sets and their subsets, and applying it to infinite mathematics will inevitably cause contradictions. They oppose the use of exclusion in infinite sets. They do not recognize the real infinity, and think that the infinite is potential, but only the possibility of infinite growth.

Constructability plays an important role in the development of mathematical logic and computational technology. But intuitionism makes math very cumbersome and complex. It has lost the beauty of mathematics and is therefore not accepted by most mathematicians.

Formalism. Take DHilbert is the representative, which can be said to be Hilbert's mathematical views and mathematical fundamental views. Hilbert advocated the defense of the law of exclusion, arguing that paradoxes in mathematics should be avoided by formalizing mathematics and standardizing proofs.

In order to make the formalized mathematical system free of contradictions, he founded the theory of proof (metamathematics). He tried to prove the harmony of the various branches of mathematics in an exhaustive way. 1931 k

Gödel proved the incompleteness theorem, showing that Hilbert's scheme could not succeed. The Hilbert program was later improved by many. Keeling used the method of transcendent induction to prove that there is no contradiction in arithmetic.

In the study of the foundations of mathematics, Robinson and Cohen called themselves formalists (Hilbert himself did not consider himself a formalist), and they believed that mathematics was nothing more than a system of symbols with no content, and that "infinite sets", "infinite wholes", etc., did not exist objectively. Although Hilbert's ideas were not realized, they created proof theory and promoted the development of recursion theory, so they made a great contribution to the study of mathematical foundations.

The main research is quantitative relationship and spatial relationship.

Specifically, it is:

Algebra: Quantitative relations.

Geometry: Spatial relationships.

Trigonometry: Quantitative and spatial relationships.

And all that.

Mathematics has its roots in ancient Greece and is the study of concepts such as quantity, structure, change, and spatial models.

It is a discipline that studies concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, it is generated from counting, calculating, measuring, and observing the shape and motion of objects. The basic elements of mathematics are:

Logic and intuition, analysis and reasoning, commonality and individuality.

Mathematics is the study of concepts such as quantity, structure, change, space, and information.

Mathematics, abbreviated as maths or math, is a discipline that studies concepts such as quantity, structure, change, space, and information, and belongs to a formal science from a certain point of view.

To borrow the words of "A Brief History of Mathematics", mathematics is the science of studying various structures (relationships) on a set, which shows that mathematics is an abstract discipline, and the rigorous process is the key to mathematical abstraction.

Mathematics 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.

Mathematics is a science that studies quantitative relations and spatial forms. - New Curriculum Standards

It is said that mathematics is a tool, and I think mathematics is the study of logic.

Commutative law of addition: two numbers are added together, and the positions of the added numbers are exchanged, and their sum is invariant. i.e. a+b=b+a;

Associative law of addition: add three numbers, add the first two numbers first, and add the third number; Or add the last two numbers and add the first number, and their sum will not change.

These two laws of addition can be generalized to the addition of any number of numbers.

Therefore, the multi-digit addition calculation rule is: the same digits are aligned, and the single digit is added.

Multiplicative commutative law: When two numbers are multiplied, the position of the exchange factor does not change.

Multiplicative associative law: multiply three numbers, first multiply the first two numbers, and then multiply by the third number; Or multiply the last two numbers and then multiply them with the first number, and their product remains the same.

Multiplicative distributive law: the sum of two numbers is multiplied by one number, you can multiply the two additive numbers with this number respectively, and then add the two products, and the result will remain the same.

Multiplicative commutative and associative properties can be generalized to multiplication of multiple numbers. The multiplicative distributive property can be generalized not only to the case of multiple additions, but also to the case where the difference between two numbers is multiplied by one number.

Multiplication of multi-digit numbers by single digits and multiplication of multi-digit numbers by multiplication of multi-digit numbers are derived from the generalized multiplicative distributive law.

Question: I have a set of number rules, you and I can help you solve it.

2+5+4+7+(？1+0+6+(？Will 0+1 be?

I can't imagine that no one can really solve the question? If you can solve it, you don't have to work part-time.

Landlord, first of all, I want to tell you that the Kuqi formula is wrong.

The correct formula should be 6(1+2+......n）

According to the method of finding the number of rectangles, the number of rectangles should be equal to the number of line segments at the bottom multiplied by the number of line segments at the highest.

From the figure, we know that the bottom of each figure is unchanged, the number of line segments is 1+2+3, and the change of 6 height is 1+2+......n

So the thought is stupid.

In the nth graph, there are 6(1+2+......n) rectangles.

The formula is wrong, when n=1, there are 3x4=12 rectangles, not 6.

The line connecting the focal points of a quadrilateral with equal diagonals is a parallelogram.

When solving the problem, when the distance between the two sides of the angle is equal, the angle bisector needs to be used;

When it comes to equal distances to both ends of a line segment, a perpendicular line (perpendicular bisector) is used.

First draw a line segment, the length is measured as a, make a perpendicular line, at one end of the previous line segment, take the end point as the center of the circle, take a as the radius as the circle, the circle must have an intersection point with the perpendicular line, the ruler connects the intersection point and another end point of the line segment, and the figure formed is a regular triangle!

Quadrilaterals with equal diagonals connect the midpoint of four triangles, and the inner circumscribed circle of the triangle is bisector of the angle, and the circumscribed triangle of the triangle is bisector perpendicular.

is a diamond, any quadrilateral connecting the midpoint is a parallelogram, a quadrilateral with a perpendicular diagonal connecting the midpoint is a rectangle, and a diagonal that is both perpendicular and equal is a square.