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It reads as follows:1. Geometric symbols: constant equals or congruences.
(Triangle.) similar). 2. Algebraic notation: less than or equal to) (greater than or equal to) infinity.
3. Set symbols.
Assemble and merge) (Assemble Junction).
4. Special symbols.
(Pi.) 5. Reasoning symbols:
The role of symbols.
A symbol is not only universal, but also extremely changeable. It is possible to express the same meaning in different languages, and it is also possible to express certain ideas and concepts in different words within the same language. "The true human symbol is not reflected in its uniformity, but in its multifacetedness, but in its flexibility".
Cassirer argues that it is these three characteristics of symbols that make symbols transcend signals.
The "symbols" of man are not "factual" but "ideal", part of the world of human meaning. The signal is the "operator", and the symbol is the "referent", the signal has a certain physical or physical existence, while the symbol is a conceptual, meaningful existence, and has functional value.
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Positive, symbol, plus, minus, multiplication, division, equal, greater than, less than, greater than or equal sign, less than or equal sign, absolute value sign, root sign, etc.
Definition of mathematical symbols,Concept B is a species attribute of concept A, and concepts with this relationship are called concepts with genus and species relations. Among the two concepts that have a genus and species relationship, the essential property that concept B has and concept A does not have is called the species difference.
Learn the importance of mathematics, which is the study of concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, take notes in class to focus on the lesson. Learning should be arranged with a simple and feasible plan to improve the learning method.
At the same time, it is also necessary to participate in school activities appropriately.
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Mathematical sets have symbols: n, n+, z, q, r, c, etc. The details are as follows:
1. The set of all non-negative integers is usually referred to as the set of non-negative integers (or the set of natural numbers) and is denoted as n.
2. The set that excludes 0 in the set of non-negative integers, also known as the set of positive integers, is denoted as n+ (or n*).
3. The set of all integers is usually called the set of integers and is denoted as z.
4. The set of all rational numbers is usually referred to as the set of rational numbers, which is denoted as q.
5. The set of all real numbers is usually referred to as the set of real numbers, denoted as r.
6. The sum of the complex sets is c.
Extended information: 1. A set refers to a collective of concrete or abstract objects with a specific nature, which are called the elements of the collection. For example, the collection of all Chinese, its element is every Chinese. We usually use capital letters such as a, b, s, t,..
Represents a set with lowercase letters such as a, b, x, y, ,..An element that represents a collection.
2. There are two kinds of relationship between elements and sets: "belonging" and "not belonging".
3. The operation of the set:
1) Commutative property of sets: a b = b a; a∪b=b∪a。
2) Set associativity: (a b) c=a (b c); (a∪b)∪c=a∪(b∪c)。
3) Set distributive property: a (b c) = (a b) (a c); a∪(b∩c)=(a∪b)∩(a∪c)。
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Mathematical notation: add (+) subtract (-) multiply ( ) divide (
Addition and subtraction are first-level operations, and multiplication and division are second-level operations; In the four mixed operations, the second level of operation should be calculated first, and then the first level of operation, that is, "multiplication and division first, then addition and subtraction".
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1.Operator Symbols:
For example, the plus sign (+), the minus sign ( ), the multiplication sign ( or ·), the division sign ( or ), the union ( ) intersection ( ) of two sets ( ) the root sign ( logarithm (log, lg, ln, lb), ratio ( :) absolute value sign | |Differentiation (D), integration ( ), closed surface (curve), integration ( ), etc.
2.Relationship Symbols:
For example, "=" is an equal sign, " is an approximate sign (i.e., approximately equal to), "is an equal sign," > is a greater than sign, "is less than a sign," is greater than or equal to a sign (can also be written" i.e., not less than), "is less than or equal to a sign (can also be written" "i.e., not greater than)," indicates the trend of variable change, " is a similar sign, " is a full equal sign, " is a parallel sign, " is a perpendicular sign, " is a proportional sign (the reciprocal relation can be used when representing inverse proportionality), "is a belonging sign," is included in the sign, " is the containing symbol, "|means "divisible" (e.g. a|.)b stands for "a divisible by b"), any letter such as x, y, etc., can represent an unknown.
3.Bonding Symbol:
For example, parentheses in parentheses "()" [ curly braces "", dash "—".
4.Nature Symbols:
Such as "positive sign" + "minus sign" - "plus or minus".
5.Ellipses:
Because. So.
6.Permutations and Combinations:
c Number of combinations.
a (or p) permutation.
The total number of n elements.
r The number of elements involved in the selection.
Factorial, such as 5! =5 4 3 2 1=120, specifying 0! =17.Discrete mathematical notation.
Full Scale. Quantifiers exist.
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There are many, many mathematical symbols, such as addition, subtraction, multiplication and division, equals, roots, fractions, alpha, and so on.
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1. Geometric symbols: Constant equals or congruence) triangle) (similar).
2. Algebraic notation: less than or equal to) (greater than or equal to infinity).
3. Set symbols. Assemble and merge) (Assemble Junction).
4. Special symbols. (Pi.)
5. Reasoning symbols:
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1. Geometric symbols:
Geometry is the study of the structure and properties of space. It is one of the most basic research contents in mathematics, and common theorems include Pythagorean theorem, Euler's theorem, Stewart's theorem, etc.
Common symbols are: (perpendicular), parallel), angle), arc), circle).
2. Algebraic notation
The object of study of algebra is not only numbers, but various abstract structures. In it we are concerned only with the relations and their nature, and not with the question of what is the number itself.
Commonly used symbols are: (proportional), logical and), logical or), integral), not equal), less than or equal to), greater than or equal to), approximately equal to), infinite).
3. Operator symbols:
The operation symbol is the symbol used in the calculation of mathematics, and the calculation symbol includes plus sign, minus sign, multiplication sign, and division sign.
Common symbols are: (multiplication), division, root sign), addition and subtraction).
4. Set Symbols:
A collection is a collective of concrete or abstract objects with a specific nature, which are called elements of the collection. A certain range, a definite, and distinguishable thing, when viewed as a whole, is called a set, or set for short.
Commonly used symbols are: (and), intersection, belonging).
5. Special symbol: shirt cavity.
A particular symbol is often used in mathematics to represent an element.
Commonly used symbols are: (sum), pi).
6. Greek symbols:
In mathematics, the Greek letter is often used to represent vertical numbers, special functions, and certain variables. In the field of mathematics, it is common for uppercase and lowercase Greek letters to have different meanings and are not related to each other.
Commonly used symbols are: Alpha), Beta), Gamma), Delta), Epsilon), Zeta), Ehta), Sita), Iota), Kampa), Ramda), Falla).
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Mathematical symbols were invented and used later than numbers, but they outnumbered numbers. There are now more than 200 commonly used mathematical symbols.
Types of Mathematical Symbols:
1. Quantity symbol.
2. Budget symbol.
3. Relationship symbols.
4. Combine symbols.
5. Nature symbols.
6. Ellipses.
7. Permutation and combination of symbols.
8. Discrete mathematical notation.
9. Greek letters, all Greek letters.
Greek Alphabet Pronunciation and Common Meanings:
Greek alphabet pronunciation commonly used meaning.
Alpha Angle, Coefficient, Angular Acceleration, First.
Beta Pita flux coefficient, angle, coefficient.
Gamma Ganma conductivity coefficient, angle, specific heat capacity ratio.
delta-delta delta variation, heating in chemical reactions, diopters, discriminants in one-dimensional quadratic equations.
Epsilon The cardinal number of logarithms, the dielectric constant.
Zeta coefficient, azimuth, impedance, relative viscosity.
Ita Eita hysteresis coefficient, efficiency.
West Tower: Temperature, angle.
Iota: Tiny, a little.
Kampa medium constant, adiabatic index.
Lambda wavelength, volume, thermal conductivity.
Fallacy Permeability Coefficient, Micro, Number of Kinetic Friction System (Factor), Hydrodynamic Viscosity, Micro (1/1000), Amplification Factor (lowercase).
Magnetoresistive coefficient, fluid kinematic viscosity, photon frequency, stoichiometric number.
Coss random variable, an unknown specific value within a (small) interval.
Eucliomy Mikoron Higher-order infinitesimal functions.
Pi = circumference diameter.
Resistivity, Polar Diameter in Cylindrical and Polar Coordinates, Density, Sigma Sum, Surface Density, Transconductance, Normal Stress.
Set camel time constant, shear stress, 2 (twice pi).
Yu (A) Ppsiloon displacement.
Magnetic flux, auxiliary angle, lens power, heat flux.
Kay Coyyi has a chi-square (2) distribution in statistics.
Cypsy Psi angular velocity, dielectric flux, function.
Omega Eumaga Ohm, angular velocity, electrical angle of alternating current, mass fraction in chemistry.
The Greek alphabet is the alphabet used in the Greek language, and it is also widely used in mathematics, physics, biology, astronomy, and other subjects. The Greek alphabet is the world's first vowel alphabet. The Cyrillic and Georgian alphabets used in Russian, Ukrainian, etc., were developed from the Greek alphabet.
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"+" is used as a plus sign, "- is used as a minus sign, etc.
There have been more than a dozen types of multiplier signs, and two are common in modern mathematics. One is " " was first proposed by the English mathematician Auquert in 1631; One is "·" It was first pioneered by the British mathematician Heriott.
German mathematician Leibniz.
Think: "The number is like the Latin alphabet."
x", which may cause confusion and oppose it, and favor the use of "·" (in fact, dot multiplication can be confused with decimal points in some cases). Later he also proposed to use " " to denote multiplication. This notation has been applied to set theory in modern times.
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In the eighteenth century, the American mathematician Odelee determined that " " was used as a multiplication sign. He argues that " " is a rotational deformation of "+" and is another symbol that denotes an increase.
Originally used as a minus, it has long been popular on the European continent. It was not until 1631 that the English mathematician Autter used ":" to denote division or ratio, and some people used " and "dividing line) to denote division.
Later, in his book "Algebra", the Swiss mathematician Raha officially divided " " as a division sign according to the creation of the masses.
Mathematical symbols. The pronunciation is pa.
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