The price of digital currency Sigma

1.

In normal distribution σ Represents the standard deviation, μ Represents the mean. x= μ It is the symmetry axis of the image

3 σ The principle is that

values are distributed in μ-σ,μ+σ) The probability of 0.6827

in is distributed in the μ- two σ,μ+ two σ) The probability of 0.9545

is 0.9545 μ- three σ,μ+ three σ) The probability of Y is 0.9973

it can be considered that the values of Y are almost all concentrated in the μ- three σ,μ+ three σ) Within the range, the probability of exceeding this range is less than 0.3%

extended materials:

the introction of Sigma into quality management needs to be attributed to Bill Smith, an engineer of Motorola (some website materials show that he only joined Motorola in 1987)

according to the records on Mike J. Harry's personal website, Bill Smith had been studying the relationship between potential defects and proct failure as early as 1984, and published a white book on the relationship between potential defects, design allowance and proct failure in 1985

based on the research of the relationship between manufacturing defects and proct failure, Bill Smith concluded that six times standard deviation (6 σ Only in this way can we ensure that the proct will not have defects from the source, and create the concept of "Six Sigma" to describe the expected level of design margin and proct quality

2.

hope to adopt, thank you

3.

1、 Six sigma = 3.4 failures / million opportunities - excellent management, strong competitiveness and loyal customers

two or five sigma = 230 mistakes / million opportunities - excellent management, strong competitiveness and loyal customers

three or four sigma = 6210 failures / million opportunities - means better management and operation ability, satisfied customers

four or three sigma = 66800 mistakes / million opportunities - it means ordinary management and lack of competitiveness

five or two sigma = 308000 mistakes / million opportunities - it means that one third of the enterprise resources are wasted every day

six or one sigma = 690000 mistakes / million opportunities - two thirds of the enterprises that do wrong things every day cannot survive

the principle behind six sigma is that if you detect the number of defects in your project, you can find out how to systematically rece the defects and make the project as perfect as possible. If an enterprise wants to reach the Six Sigma standard, its error rate should not exceed 3.4 parts per million

In the mid-1990s, Six Sigma has been evolved by Ge from a total quality management method to a highly effective enterprise process design, improvement and optimization technology, and provides a series of new proct development tools that are equally applicable to design, proction and service

and then go hand in hand with GE's globalization and service-oriented strategy, becoming the most important strategic move for enterprises pursuing management excellence all over the world. Six Sigma has graally developed into a management philosophy which takes customers as the main body to determine the yardstick of proct development and design and pursues continuous progress

Six Sigma includes two processes:

Six Sigma DMAIC and Six Sigma DMADV, which are the two main steps in the whole process. Six Sigma DMAIC is the process of defining, measuring, analyzing, improving and controlling the current projects that are lower than six sigma specifications

Six Sigma DMADV is the process of defining, measuring, analyzing, designing and verifying new procts or projects that try to achieve six sigma quality. All six sigma projects are carried out by the Six Sigma Green belt or six sigma black belt, and then supervised by the Six Sigma Black Belt master created by Motorola

4.

In normal distribution σ Represents the standard deviation, μ Represents the mean. x= μ It is the symmetry axis of the image

3 σ The principle is that

values are distributed in μ-σ,μ+σ) The probability of 0.6827

in is distributed in the μ- two σ,μ+ two σ) The probability of 0.9545

is 0.9545 μ- three σ,μ+ three σ) The probability of Y is 0.9973

it can be considered that the values of Y are almost all concentrated in the μ- three σ,μ+ three σ) Within the range, the probability of exceeding this range is less than 0.3%

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extended data

sigma includes two processes:

< P > Six Sigma DMAIC and Six Sigma DMADV, which are the two main steps in the whole process. Six Sigma DMAIC is the process of defining, measuring, analyzing, improving and controlling the current projects that are lower than six sigma specifications

Six Sigma DMADV is the process of defining, measuring, analyzing, designing and verifying new procts or projects that try to achieve six sigma quality. All six sigma projects are carried out by the Six Sigma Green belt or six sigma black belt, and then supervised by the Six Sigma Black Belt master created by Motorola

5.

In normal distribution σ Represents the standard deviation, μ Represents the mean. x= μ It is the symmetry axis of the image

3 σ The principle is that

values are distributed in μ-σ,μ+σ) The probability of 0.6827

in is distributed in the μ- two σ,μ+ two σ) The probability of 0.9545

is 0.9545 μ- three σ,μ+ three σ) The probability of Y is 0.9973

it can be considered that the values of Y are almost all concentrated in the μ- three σ,μ+ three σ) Within the range, the probability of exceeding this range is less than 0.3%

extended data

one or six sigma = 3.4 mistakes / million opportunities excellent management, strong competitiveness and loyal customers

two or five sigma = 230 mistakes / million opportunities - excellent management, strong competitiveness and loyal customers

three or four sigma = 6210 failures / million opportunities - means better management and operation ability, satisfied customers

four or three sigma = 66800 mistakes / million opportunities - it means ordinary management and lack of competitiveness

five or two sigma = 308000 mistakes / million opportunities - it means that one third of the enterprise resources are wasted every day

six or one sigma = 690000 mistakes / million opportunities - two thirds of the enterprises that do wrong things every day cannot survive

the principle behind six sigma is that if we detect how many defects there are in the project, we can find out how to systematically rece the defects and make the project as perfect as possible. If an enterprise wants to reach the Six Sigma standard, its error rate should not exceed 3.4 parts per million

6.

The 3 Sigma principle is that the probability of numerical distribution of

(mu -, Mu +) is 0.6827

The probability of value distribution in

(mu-2, Mu + 2) is 0.9545

The probability of value distribution in

(mu-3, Mu + 3) is 0.9973

in the normal distribution, it means the standard deviation and Mu means the average. X = u is the symmetry axis of the image

the results show that Y values are almost all concentrated in the (mu-3, Mu + 3) interval, and the probability of exceeding the interval is less than 0.3%

extended materials:

1, 6 sigma = 340 failures / million opportunities - excellent management, strong competitiveness and loyal customers

2, 5 sigma = 230 failures / million opportunities - excellent management, strong competitiveness and loyal customers

3, 4 Sigma or 4 sigma = 6210 failures / millions of opportunities - means better management and operational capabilities, and meet customer needs

4, 3 or 3 sigma = 66800 failures / millions of opportunities - means ordinary management and lack of competitiveness

5, 2 sigma = 308000 failures / million opportunities - this means that one third of the enterprise's resources are wasted every day

6, Sigma or one sigma = 690000 failures / million opportunities - two thirds of enterprises that make mistakes every day cannot survive

the principle of Six Sigma is that if you find out how many defects there are in the project, you can find out how to systematically rece the defects and make the project as perfect as possible. If an enterprise wants to reach the Six Sigma standard, its error rate should not exceed 34% of ten thousand

reference source: network Sigma

7. If you want to triple the sum of (a1 + B1 + C1 + D1 + E1), enter the formula in F1: = proct (sum (A1: E1), 3)
sorry, I can only understand 3 Σ in this way.

8. Example: Σ An = a1 + A2 + + an
∑ is the abbreviation of sequence summation. The K ^ 2 after it is the general term formula. The k = 1 below is the number of terms at the beginning of the initial term, and the N at the top is the number of terms at the end
n
∑ K ^ 2 = 1 ^ 2 + 2 ^ 2 +... + n ^ 2 (1)
k = 1
n
∑ (2k + 1) = 3 + 5 +... + (2n + 1) (2)
k = 1
then (1) + (2) =
n
∑ (K + 1) ^ 2 = 2 ^ 2 + 3 ^ 2 +... + (n + 1) ^ 2
k = 1
the expansion of the famous binomial theorem can be expressed as
n
∑ C (n, K) a ^ (n-k) B ^ K.
k = 0

9.

The usage of sum formula Sigma:

I means the lower bound, n means the upper bound, K takes the number from I to N, all of which add up

examples are as follows:

∑ (I = 1, n = 5) k = 1 + 2 + 3 + 4 + 5 = 15. The specific writing method is as follows:

∑ (sum sign)

English Name: sigma

Chinese Name: Sigma Σ， a lowercase letter σ

the eighteenth Greek letter. In Greek, if the last letter of a word is a lowercase sigma, the letter should be written as & #, This letter is also called final sigma (Unicode: U + 03c2). In modern Greece, the number stands for six

extended data:

other summation formulas:

1. 1+2+3+......+n=n(n+1)/2

2 1^2+2^2+3^2+......+n^2=n(n+1)(2n+1)/6

3 1^3+2^3+3^3+......+n^3=( 1+2+3+......+n)^2=n^2*(n+1)^2/4

4 1*2+2*3+3*4+......+n(n+1)=n(n+1)(n+2)/3

10. Σ basically represents summation in all disciplines< br /> σ In statistics, it represents standard deviation, but in other disciplines, its meaning is different.