**Calculators of the Harmony in Gradation**

**Sampling Error Of Area Coverage Clusters****Multiple Pythagrorean****Link & Match Between Employment and Education Link & Match****Performance Simulation of 5G Cellular Network Explanation****Measurement of Competition Level in the Industry****Explanation VIDEO 1 VIDEO 2****Consistency Test****Explanation****Measurement of the Income Equality Index and Level****Explanation VIDEO 1 VIDEO 2****Channel Cavity on Data Communications****Explanation****Measurement Index of “the Fairness over Inequality”****Explanation****Equality Correlation****Explanation****The Human Development Index Inequality****Explanation****Linear Regression Without Intercept****Explanation VIDEO 1****Smart_Estimation_ver H.1.0****Explanation****The Equity Level of an Internet Service****Explanation****Competition Levels among Students****Explanation****Fair Policy of TAX RATE****Explanation****A New Equilibrium Index for the science of Physics and Astronomy****Explanation****Linear Regression With Intercept****Other Calculator is not related to my formula (Haryadi Index or Harmony in Gradation)**: a.**Calculation of the Mean Opinion Score of Telephone Service;**- b.
**Basic Calculation of the Telecommunication Network Availability and Reliability** - c.
**Internet calculator of the Quality of Service of Telecommunication Message Service** - d.
**Internet Calculator of Quality of Service of the Internet Service**

**Brief Explanation of the Calculators**

**1.****The ****Competition Law**

**(Explanation of the “Measurement of Competition**

*Level in the Industry”*Calculator)

*Harmony in Gradation is proposed to replace the Herfindahl Index*- One method used to measure emotional stability is the Pauli & Kraepelin test, which tells people to do the basic summation for 20 @ 3 minutes, then calculates 16 of the 20 measurement samples and interprets the average deviation as a consistency score. This shows that this method uses a formula that contains only “The Gradation”, and will cause the possibility that people with different emotional stability have been assessed equally. As a simple example of a test on two people, A who scores {5, 7, 5, 7, 5, 5, 7, 5, 5, 7, 7} and B {4, 6, 8, 6, 4, 6, 8, 6, 6, 4, 6, 8, 8, 6, 8, 4} will be judged to have the same emotional stability, since A and B are “seen” to have the same gradation. However, if the formula involves “The Harmony”, then B which has “the Harmony” more, but has the same average as A, will “look” has a larger gradation, meaning “The Harmony in Gradation” will cause B score will be smaller than A.

**3.Inequality Index**

**(Explanation of the Measurement of the Income Equality Index and Level**

**and**

**Human Development Index Inequality**

**Calculator)**

**Harmony in Gradation is proposed to replace the Gini Index**

**4.Information Entropy**

**(Explanation of the**

**Channel Cavity on Data Communications (modified Information Entropy Formula)**

**Calculator)**

**5.The Fairness Index**

**(Explanation of the**

**Measurement Index of “the Fairness over Inequality**

**Calculator)**

- The assumption used is that although there is an imbalance on an affected variable, X, but the level of fairness of the action or policy against the affecting variable X expressed by variable Y, is fairer if the distribution of Y is more like the X distribution.
- The simple example in the field of taxation policy of a country, for example, there is an imbalance in the distribution of income of the population (affected variable), then the tax policy of the country may be fair if the tax rate distribution imposed is like the distribution of income population. Take a look at the reference, there is proof that by referring to my theory, the more “fair” this policy, then the state income derived from the tax will be the most optimum.
- Another example, in the field of a cellular telecommunication industry, for example, there is an imbalance in the distribution of the market share of its providers (affected variable), but if the distribution of the spectrum bandwidth provided by the state to the providers (affecting variable) is like the distribution of its market share, then the condition is said to be fair.

**6.Equality Correlation**

**(Explanation of the**

**Equality Correlation**

**and Linear Regression Without Intercept**

**Calculator)**

*Equality correlation method is a statistical measure showing the extent to which the random variable being measured has similarities with the reference variable, where the determination of the correlation index is done by calculating the Harmony in Gradation Index of the relationship between the random variable as measured by the reference variable. In this case, an index equal to one represents a perfect similarity between the elements of the variable as measured by the pairs of elements of the reference variable, let R be the reference variable = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and Y is random variable measured = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22}, then Y has an equity correlation index equal to one through the relationship function Y = 2R, since all elements of Y are equal to twice of the pairing elements of R.*

*The Advantages compared to Pearson’s correlation are:*

*It would be better to use when we are sure that the regression equation has no intercept, which means the dependent variable is zero when the independent variable = zero**The hypothesis of the Regression equation, the correlation index between variables, and the confidence level of the regression equation will be obtained directly without the t test and F test**The result remains accurate for any sample population (sample > = 2).*

**Note**: I did not make the Harmony in Gradation calculator for regression that has an intercept, because it assumes that the statistical software experts more proficient to develop it. The formula made here is to produce a perfect “Fairness over Inequality”, in the sense that the distribution of tax percentages to groups of people is exactly the same as the income distribution of these groups. Thus, the index of Harmony in Gradation is the same as one, and it can be proven that the state income from the income tax sector will be the maximum. In a real implementation, the government can modify the results of the calculation, but it must be remembered that this modification action will cause the state income from the tax sector to be not optimal.

- In this calculator, the postulate used is “There cannot be a perfect equilibrium of a pair of objects in a union if we do not consider all objects in the union”.
This very simple postulate is the key to compiling “Theory of Everything” or “Science of Everything”, which has been aspired by physicists since the last tens of years.
Some examples of implementing the postulate are:
1. When we are studying the nature or property of celestial objects in the universe, where we are in a situation that until now we still don’t know the existence of all celestial objects in the universe, which means we cannot be in a state of perfect equilibrium, no matter how small the imbalance is, then it is obligatory for the use of a formula which contains both elements of “the Harmony” and “the Gradation”. Vice versa, if we use a formula that only contains one of the Harmony or the Gradation, then there are two types of errors that will occur, the first is a very small error, sometimes can negligible when calculating the property of a celestial body in the form of a planet or star, and the second is a big mistake when interpreting the nature of the universe.
2. When we are observing an object by applying Newton’s classical physical law “the magnitude of the reaction force of an object is the same as the force of action of the object”, where we often ignore the forces of many objects that we consider small, this shows that we have erroneously made the assumption that there has been perfect equilibrium in the system we observe. In other words, the formula we use should not only consist of one of the Harmony or the Gradation, but must involve both. Vice Versa, there will be a wrong conclusion.
3. When we are observing a moving object by applying the law of special relativity, where the existing formula derived by Lorenz only observes a system consisting of one light that moves at the speed of c and one object that moves at the speed v, even though in the real world conditions it must be very many objects that do not belong to our observation object that move at speeds of v1, v2, and so on and also many other lights that move at the speed of c/n1, c/n2 and so on. Thus, the act of not involving the whole objects and lights in the universe shows that equilibrium cannot be perfect. Then, the formula we use should not only consist of one of the Harmony or the Gradation, but must involve both. Vice Versa, there will be significantly wrong conclusions. Another possibility that must be considered is that the formula for the dilation of time and length derived by Lorenz is not experienced by the moving objects with velocity v, but precisely experienced by the light or anything that has the light-like nature moving at c or very close to c which “lives itself” and does not affect the surrounding environment. Thus, the lights can be assumed as a separate union whose members are themselves in the form as an object and in the form of a wave. So, a perfect equilibrium can occur in the light itself. Moreover, following the quantum theory, then the light causes itself to have a time and length dilation which the amount does not depend on all objects around it. Thus, the process of special relativity can be explained as follows: the occurrence of changes in the frequency experienced by light in its form as a wave is related to causation with the dilation of time experienced by light in its form as an object and/or the changes in the wavelength of light in its form as a wave, if it occurs, is correlated with changes in the length of light in its shape as objects.
### 9. Smart Estimation Ver .1.o.

**(Explanation of the**__Smart_Estimation_ver H.1.0__**Calculator)** Picture source (25/11//2018): https://pixabay.com/en/businessman-board-immediately-soon-2556923/

- In this calculator, Harmony in Gradation is only used to calculate the degree of confidence of the estimation results, while the estimation method on this calculator, which I call the H.1.0 version is to consider that the future events will be more affected by the events that have just happened than the effects of events that have taken place long time before.

- In many cases, students who do not succeed in a school are due to receiving unfair actions from their teachers and/or schoolmates, and also because of the unfair school policies. This calculator can be used to measure the extent to which students in a school have received fair treatment by considering the student’s test score. If it is found that the level of fairness in the education process is not good, then the teachers are advised to examine the unfairness that may happen to some of their students.
### 10. Internet Service Equity

**(Explanation of The Equity Level of an Internet Service****Calculator)** Picture source (25/11/2018): https://pixabay.com/en/social-media-social-networks-media-1635574/

- Currently, internet service is a human right in the world, thus it is fair if the government and/or the provider should provide the internet services with the same level of service for residents who live in the different cities or provinces.

### 11. Teacher Fairness

**(Explanation of the****Competition Levels among Students****Calculator)** Picture source (25/11/2018):**https://pixabay.com/en/social-media-personal-552411/****12. Performance Simulation of 5G Cellular Network****(Explanation of the Performance Simulation of 5G Cellular Network Calculator)**This calculator describes the implementation of the author’s invention of the fairness theory in the field of performance engineering in 5G mobile communication, especially in the new concept of the 5G cellular network that the 5G Ultra-Dense Cellular Networks, in which a macro cell has tens of G bps of throughput in a coverage area about 1 square km. However, the presence of tens of Evolved Node B on a 5G network macro cell may cause a performance loss in the form of latency and packet loss if every Evolved Node B (ENB) has a large variation of traffic intensity. Therefore, this calculator proposes a technique of arranging all Evolved Node B in the macro cell to have a traffic intensity of approximately the same value by adjusting the throughput allocation of each backhaul of the Evolved Node B so that its value is proportional to its traffic. In detail, the article in the reference proposes a new method of the resource allocation for the 5G ultra-dense cellular network based on the fairness concept the Harmony in-Gradation Resource Allocation. This fairness concept uses the harmony-in-gradation index which is a novel formula proposed as the fundamental key in reaching a good network performance on the 5G ultra-dense cellular network. The architectures of 5G network used in this calculator are a macro cell with one gateway and multiple gateways. In a single gateway architecture, a macrocell consists of one gateway and dozens of small cells. Each backhaul traffic from the small cell base station is forwarded to the gateway in the macro cell. The macrocell transmits data management and small cells transmit user data. Therefore, the task of a gateway is to allocate the backhaul throughput of the small cells which has a corresponding distribution to the traffic distribution of each Evolved Node B sent to the gateway. Therefore, the perfect allocation of resources reached wherein the distribution of throughput to the backhaul of each Evolved Node B (ENB) is exactly the same as the distribution of its traffic sent to the gateway. Contrarily, if the gateway does not set the resource allocation, then the backhaul throughput of each ENB is proportional to the effective radiated power of each transmitter, not by its traffic value, and cause the probability of unfair resource allocation will be very high. Then, unfairness in resource allocation will lead to a decrease in network performance. For that reason, it is necessary to have a method of resource allocation based on the theory of fairness, where there is a way to measure the index of fairness, then determine the level of fairness is in perfect, fair, unbalanced or unfair conditions, which corresponds to the level of network performance has been in a perfect, good, less good or poor conditions.

- In many cases, students who do not succeed in a school are due to receiving unfair actions from their teachers and/or schoolmates, and also because of the unfair school policies. This calculator can be used to measure the extent to which students in a school have received fair treatment by considering the student’s test score. If it is found that the level of fairness in the education process is not good, then the teachers are advised to examine the unfairness that may happen to some of their students.