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| Relative Frequency Formula |
This article "What is relative frequency formula" will leads towards relative frequency meaning.
What Is Relative Frequency Formula?
What is the relative frequency formula for a time series? The answer to this question is pretty simple, and is a very useful tool in time-series forecasting. So let us discuss it one by one!
What is the relative frequency formula?
A relative frequency formula can be defined as "all the frequencies of an observation that are present in the series. Like there are several frequencies present in a car engine. So we can describe any car engine as a set of several frequencies."
If one wants to know what is the amplitude of any two data points (x1 and x2), then we need to compute the frequency of that set of frequencies. To know how many frequency of our car engine it has, we take the square root of its absolute value, subtract it from half the speed, then multiply with frequency to get the number of times that we see every frequency. Hence frequency can be expressed as, "the numbers of times per second" or "times per second". If you want to count, you have to count more than just once the number of times per second. We say frequency is the number of times it takes your car engine to deliver the output of power. Our model is just a representation of all the frequencies present in the system.
It is like saying there are several cars on the road - some of them are on heavy loads, while others are on light loads. But if you have three cars, they cannot do double the load of their counterparts. Therefore if you can measure the total weight of the car from left to right, and compare that with the total load capacity of each car, you know that whether your car will face heavy or light loads. There are many factors to consider when calculating the load capacity of a vehicle - fuel efficiency, noise level, etc. So it is important to first know what a vehicle has, how much load it can bear on the roads, what kind of power it has. In other words, the load capacity of vehicles can be calculated by adding up weight of all parts of the body of the car, then dividing with load of the whole body.
When we speak about the load capacity of the car itself, the load capacity of the vehicle to do more work is also called load capacity. An example is the load capacity of the car engine, which is usually represented as Load capacity of the car engine. Another example would be the load capacity of different gas engines and electric motors - the capacity of gas engines are usually represented as load capacity while the capacity of electricity engines is indicated as load capacity. This has been taken care by inventors and scientists of various countries.
Another factor that can affect the load capacity of vehicles is their size and shape. Different materials used in making vehicles have varying levels of load capacity and some are heavier than some others. That's why we need to consider how many parts of the car are made of the material used in manufacturing vehicles. For the same reason, the load capacity of machines is also different between these two types of machine. Similarly, some larger machines are lighter than smaller ones. And we often find out that large machines can carry less weight at a given level of effort. Some machines can be found in industries that produce heavy loads such as aircrafts, ships, etc. On the other hand, some small machines are lightweight, so they can be transported easily. Thus, the load capacity of a given type of machine depends upon the structure of the material used in making it. Since humans make machines using only some materials, and the remaining part is manufactured by robots, the load capacity can reflect the fact the part was made more efficiently and cheaper. It does not mean the load capacity cannot be increased with time. So the overall capacity of that machine can increase but it cannot go down.
Now that you know the main factors that effect the load capacity of engines, let us discuss about the relative frequency distribution of cars.
What is RFS?
RFS is a mathematical distribution used in statistical analysis of time series. From the name we can expect many definitions to come up. Let us begin with the basic definition of RFS:
RFS = log(time/frequency)
In physics, the energy of motion and potential energy of atoms are quantized over space. Therefore, the average kinetic energy can be approximated. Theoretically, we can say that the average total physical energy is always limited in finite domains, however, the energy of motion in higher dimensions could not be quantized because time itself has no definite domain, time is in fact infinite. Any variable of the form t-t is continuous but finite. Time itself is continuous over infinitely large periods. As shown on the diagram above, the graph shows that, for any real point t-t, it is possible that t=t+1 and t=t-1. At time-space axis t=1, the variables of the form t-t and t+1 are both discrete. However, for any t=t-1, there are still continuous variables in t=t-1. So time-space remains intact even for long period. As shown below, for long periods, the variable t=1 is always continuous.
The probability of finding time t=1 is given by the integral of the time-frequency distribution. At time-space axis t=0, it is known to exist. This parameter is called Probability of existence and it is given by Integral of the normal distribution. As mentioned before, time-space is a continuous matrix, therefore the sum of probabilities of time-space is equal to 1.
Now coming back to the RFS, we can define the following relationship in the equation:
Where N is the total amount of observations and F is the time-frequency distribution of observations.
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