What is a theorem and what does a theorem mean

A theorem is a conclusion that starts from a true proposition (an axiom or other theorem that has been proven) and proves to be correct after deductive deduction that is limited by logic, i.e., another true proposition. For example, "the opposite sides of a parallelogram are equal" is a theorem in plane geometry.

Generally speaking, in mathematics, only important or interesting statements are called theorems. Proving theorems is a central activity in mathematics.

Mathematics that is believed to be true but not proven is described as a conjecture, and when it is proven to be true, it is a theorem. It is theorem's, but it's not the only one. A mathematical narrative derived from other theorems can become a theorem without going through the process of becoming a conjecture.

As mentioned above, theorems require certain logical frameworks, which in turn form a set of axioms (axiom systems). At the same time, a process of reasoning that allows new theorems and other previously discovered theorems to be derived from axioms.

In propositional logic, all proven narratives are called theorems.

You know what a proposition is, right?

A theorem is a true proposition that has been proven.

Question 1: What does the theorem mean? All right!

Axioms, theorems, inferences, these three, to explain to you, the axiom is that everyone thinks he is correct, (probably this means), there is no need to prove, the theorem is artificially prescribed, artificially qualified conditions, and the results are introduced, such as this, artificially assuming that a set of parallel lines with Qingmao is in a straight line, which is the axiom pushed down, question 2: What does the theorem mean The so-called theorem is that there is a certain truth (* In mathematics, a theorem refers to a conclusion that has been proven to be correct through logical deduction.

Question 3: What does the pendulum theorem mean... Lenz's theorem? The law of inertia in electromagnetism.

Question 4: What is the difference between a formula and a theorem The actual meaning should be: we use letters to represent numbers, whether it is in the expression of quantitative relations, the relationship between operations or the calculation formula, which will make people feel concise and easy to understand.

For example: a+b=b+a, a*b=b*a This is the exchange rate, which belongs to the square of the law of operation (a+b) = a square + 2ab + b square, which is the calculation formula.

Question 5: What is this theorem? 5 points ab2=adac

Meaning: to prove by theory a proposition or formula that can be used as a principle or law; The eternal truth.

Pronunciation]: [dìng lǐ].

synonyms]: truth [zhēn lǐ]: i.e., the correct reflection of objective things and their laws in the human mind.

Law [dìng lǜ]: A generalization of objective laws, which embodies the inevitable relationship between things in a certain environment.

Principles [yuán lǐ]: Pufu annihilation or basic laws.

Rules [guī zé]: canon, law, law; means a certain way of conforming to the shape, structure or distribution; Neat.

Antonyms]: fallacy [miù wù]: error; Mistake.

Fallacy [miù lùn]: absurd, erroneous statement.

Sentence formation]: They are the Pythagorean theorem, the Chinese remainder theorem, and Euler's theorem.

In this paper, the Pythagorean theorem and the projective theorem are studied.

A minimum-maxima comparison theorem of two nonlinear functionals on a topological space is given.

The kinetic energy theorem of the system is used to deal with the traction and power problems of the conveyor belt.

If the square root is calculated according to the binomial theorem, the calculation of p can be simplified.

Output: Gives up to four natural numbers satisfying the quadripartite theorem.

The method of counterproof cannot be proved with a counter-theorem.

Solved the problem that the three-prime theorem generalized to the fact that prime numbers are taken from arithmetic progression.

Coulomb's law is perfectly equivalent to Gauss's theorem for electrostatic fields.

A theorem is a proposition that is proved on the basis of an existing proposition.

These pre-existing propositions can be other theorems or widely accepted statements, such as axioms. The proof of a mathematical theorem is a process of inference about the proposition of the theorem in a formal system. The proof of a theorem is often interpreted as a verification of its authenticity.

It can be seen that the concept of theorem is basically deductive, which is different from other scientific theories that need to be supported by experimental evidence.

There are many mathematical theorems that are conditional, and the proof of the theorem is based on a hypothesis and a conclusion. Because proof is often linked to truth, conclusions are often seen as a corollary of hypothesis. In other words, if the assumption is true, the conclusion is also true, and no additional conditions need to be added.

However, it should be pointed out that conditional sentences can be interpreted differently under different formal systems, depending on how the rules of reasoning and implicit symbols are interpreted.

The difference between theorem and law is as follows:

1. The nature is different.

A theorem is a statement that has been proved true by logical limitations. The law is a judgment that reflects the development and change of things under certain conditions, as proved by practice and facts.

2. The characteristics are different.

Theorems are based on axioms and assumptions, and can describe the internal relationship between things after rigorous reasoning and proof, and theorems have inherent rigor and cannot exist logical contradictions. The law is provable, and it has been proven over and over again. A law is a theoretical model that describes the real world at a particular scale, which may be invalid or inaccurate at other scales.

3. Different methods of obtaining.

Theorems are propositions that are mathematically proven by starting from the laws. A law is a law that is summarized by experiments.

4. The conclusions are different.

The theorem is derived. When the law does not change, the derived theorem is constant. Laws are observed experimentally, and the same laws may have different conclusions in different experimental environments.