An educated person has mastered a system of symbols, which ones are included

The remainder if.

The remainder is 010% and the remainder is 1

Rarely used in C, a%b

That is, if a is divided by b, the remainder is 0

It's either divisible or how much remains, and the remainder is as much.

It's a kind of extracorporeal language.

Symbology. The symbol system is also a language system, just like it is not enough for people to express their thoughts by speaking, for example, they will also use their bodies, facial expressions, etc., so as to enrich our language expression. The same is true for symbology. Take the most common example to explain, stop at a red light, go at a green light, everyone understands this truth, in the traffic light plays the role of a symbology system, when the red light is on, people know to stop, and when the green light is on, everyone starts driving.

For example: we don't know how many pieces are given to 100 people each for 100 yuan, at this time the lead can be calculated in a column - 100 * 100 = 100000, when operating according to the rules of multiplication, what do the two 100 represent, whether it is a person or a number of money, the difference between Huai Potato is not important at all, there is no need to distinguish, as long as the product is obtained.

What human beings use to communicate is not real things, but symbols that represent things, and words are a kind of symbols that make the listener aware of the thing or phenomenon he represents. Symbols such as words are a unity of sound and meaning. The combination of form and meaning in linguistic symbols is completely "conventional" by society, it is a product of society, and it must be agreed by people and endowed with a certain value in order to play the role of a communicative tool.

Features: 1. The biggest feature of language symbols is that the combination of sound and meaning is arbitrary and made up of social conventions. (Arbitrariness).

However, the arbitrariness of the sign is only in the context of the creation of the sign. Once a sign enters communication, that is, after a certain phonetic form is combined with a certain meaning to represent a specific real phenomenon, it becomes mandatory for the person who uses it. If you change it without re-agreeing on it, you will inevitably be rejected by society.

2. Linearity. Linguistic symbols can only appear one after the other, stretching on the lines of time, and cannot be spread out on the surface of space.

3. Systematic. Linguistic symbols are not disparate patches of sand, but an organized and organized system. Most linguists summarize the language system as a hierarchical apparatus that operates by combination and substitution.

Language is a tool for thinking and communicating. It is closely related to thinking, and is the carrier of thinking, the material shell and the form of expression. Language is a symbol system, which is a system of lexical building materials and grammatical organization rules that combine phonetics and meanings with phonetics as the material shell and semantics as the meaning content.

Language is a social phenomenon, the most important communication tool for human beings, a tool for thinking and transmitting information, and a carrier for human beings to preserve the results of understanding. Language is solid and national.

The characteristics of language are: creative, structural, meaningful, referential, social and individual.

Structure of language: phonemes, morphemes, words, sentences.

Types of languages: conversational language, monologue language, written language, internal language.

As far as the brain is concerned, language is divided into "brain language" and "oral language", and brain language is something called "thinking" or "thinking" or "thinking" that we produce in the brain from time to time, and the brain language is expressed by the mouth is called "oral language". Brain language and spoken language are not the same thing, first.

1. Brain and oral language are distorted when expressed; Clause.

Second, oral language is not the only way to express brain language, because brain language can also be expressed through muscle groups: it is our behavior. Language is an important part of a person's abilities.

The double heart symbol has been played on the first line, and you can just copy it.

Obviously different from **.

Can you remove the loop in the middle?

Big guy. Can you add it for me? Small mood, small freshness.

Since it cannot be entered, the following a represents the full scale quantifier and e represents the existence of the quantifier, please pay attention to the correction.

2. Let f(x): x be a rational number. g(x): x is a real number. p(x): x is an integer, and the original proposition is symbolized as:

Premise: ax(f(x) g(x)), ex(f(x) p(x)) conclusion: ex(g(x) p(x)).

Proof of: (1) ex(f(x) p(x)) premise introduces (2) f(a) p(a) 1)ei

3) f(a) 2) Simplification.

4) ax(f(x) g(x)) premise introduces (5) f(a) g(a) 4) ui

6) g(a) 3)(5) hypothetical reasoning.

7) p(a) 2) Simplification.

8) g(a) p(a) 6) (7) synthesis, introduction (9) ex(g(x) p(x)) 8) eg3, let: f(x): x is trustworthy.

g(x):x is trustworthy. p(x)：

X is educated.

The original proposition is symbolized as:

Premise: ex( f(x) g(x)), ex(g(x) p(x)) conclusion: ex(p(x) f(x)).

Proof of: (1) ex(g(x) p(x)) premise introduces (2) g(a) p(a) 1)ei

3) g(a) 2) simplification.

4) ex( f(x) g(x)) premise introduces (5) ax(f(x) g(x)) 4) permutation (6) f(a) g(a) 5) ui

7) f(a) 6)(3) disjunctive syllogism.

8) p(a) 2) Simplification.

9) f(a) p(a) 7) (8) synthesis, introduction (10) ex(p(x) f(x)) 9) eg

Because it is more intuitive to hear, at first the human body cannot see the outside in the mother's body. Mostly auditory.