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Basic Concepts of Mathematics and English Translation
English translation of basic concepts of mathematics 1 score: score

Molecules: molecules

Denominator: Denominator

Addition, subtraction, multiplication and division of fractions: addition, subtraction, multiplication and division of fractions.

Complex Fractions and Pseudo Fractions: Mixed Numbers and Inappropriate Fractions

Complex fraction means that a number consists of an integer and a fraction.

A false score refers to a score whose numerator is greater than the denominator. For example: 7/3

Decimal: Decimal

Scientific notation: scientific notation

Sometimes decimals are expressed as the product of a number with only one digit to the left of the decimal point and the power of 10. This is called scientific notation. For example, 23 1 can be written as 2.31x102, and 0.023 1 x10-2. When a number is expressed in scientific terms, the exponent of 10 indicates the number of digits in the number to be multiplied by the power of 10 to get the product. If the index is positive, the decimal point moves to the right; if the index is negative, the decimal point moves to the left. For example, 20.13x103 equals 20, 130, 1.9 1× 10-4 equals 0.00019/kloc.

Basic Concepts of Mathematics and English Translation 2 1, mode

One or several numbers with the highest frequency in a pile number, such as 1, 1, 1, the modes of 2,3,0,0,5 are 1 and 0.

2. Scope (scope)

The difference between the maximum number and the minimum number in a pile, for example, the range 1, 1, 2,3,5is5-1= 4.

3. Average value

Arithmetic average (arithmetic average), geometric average (geometric average: the n-th root of the product of n numbers)

4. Median (median)

After sorting a pile of numbers, the middle number (odd number) or the average of the middle two numbers (even number), such as "the median of 65438 +0, 7, 4, 9, 2, 2, 2, 5, 8 is 2" and "the median of 65438 +0, 7".

5, standard error (standard deviation)

In a pile of numbers, the sum of the absolute values of the difference between each number and the average value is divided by the number (n) of the pile. For example:

The standard errors of 0, 2, 5, 7 and 6 are:

(|0-4|+|2-4|+|5-4|+|7-4|+|6-4|)/5=2.4

6. Standard deviation

In a pile of numbers, the sum of the squares of the differences between each number and the average value, and then divided by n, for example, the standard deviation of 0, 2, 5, 7 and 6 is 6.8.

7. Standard deviation

Is the square root of the standard deviation, the formula of standard deviation is: d 2 = [(a1-a) 2+(a2-a) 2+...+(an-a) 2]/n, and d is the standard deviation.

8. Triangle Cosine Theorem

C 2 = a 2+b 2-2 AB cost, where t is the included angle between two lines of AB.

9.y = k 1x+b 1, y = k2x+B2, and the condition that two straight lines are perpendicular is K 1K2=- 1.

10. Characteristics of multiples of three

The sum of all numbers is divisible by 3.