The spectral graph theory studies the properties of graphs by means of an analysis of eigenvalues / eigenvectors / of characteristic polynomials of matrices that are connected with graphs (conjugacy matrix, Laplace matrix, unsigned Laplace matrix, etc.). The theory was actively developed in the 1970s, but now finds application in the analysis of graphs of social networks. The theory is related to the detection of communities and the partitioning of graphs. The sample that you will find below will be devoted to theoretical aspects (even proofs), and will be useful for applicants to understand why certain methods of generating features (based on spectra) are working. Continue reading

# Category Archives: Math assignment samples

## Histogram Example for Math Students

The histogram example is used to display the interval series. In order to construct a histogram from the data of the variational series at equal intervals, as for the construction of the polygon, the values of the argument are plotted on the abscissa axis and the frequencies or relative frequencies are plotted on the ordinate. Next, rectangles are constructed whose bases are segments of the abscissa, whose lengths are equal to the lengths of the intervals, and the heights are segments whose lengths are proportional to the frequencies or relative frequencies of the corresponding intervals. Continue reading

## Check Out a Bolted Joint Calculation Example

A joint calculation is performed in the case where it is required to give a quantitative estimate of the degree of curvilinearity of the correlation relation, while determining the coefficient of determination r2 and the point of the empirical line. If you need to do some calculations, our bolted joint calculation example will help you.

Start doing your assignment from reading through our example of bolted joint calculations. After that, you can deal with your task easily. The results will be much better if you decide to use the example. It is necessary to understand the topic in order to complete the assignment successfully, and our sample can help with that. You can also check out other samples presented on our blog, which can help with assignments for different disciplines. Each of the examples is done by an expert in the field. Read through our example to deal with your joint calculations easily.Continue reading

## Dijkstra’s Shortest Path Algorithm Example

Dijkstra’s shortest path algorithm finds the shortest paths between all nodes of the graph. In this article we will describe the operation principle of Dijkstra’s algorithm, which finds optimal routes. The disadvantage of this algorithm is that it will not work correctly if the graph has negative edge weights. In this tutorial you can read Dijkstra’s shortest path algorithm example. The author has solved a particular task and provided a vivid description of the solution. Following each step you will be able to solve a similar solution by yourself with ease.Continue reading

## Multisim Examples: Quick Functionality Overview Part I

Simulation is a mathematical technique for emulating circuit behavior. Simulation helps to define many properties of the circuit without assembling the circuit or using real devices. Nowadays, a lot of software is designed to ease the work of the engineer. Today we want to introduce you to the program of the company National Instruments – NI Multisim. In this article, we’ll look at the simplest examples of modeling electrical circuits using Multisim. This program will be useful both for students that need to solve problems in electrical engineering and electronics, and for teachers for scientific activities. While the interface of the program is quite simple, you will need some time to understand how to use it to the fullest. To help you, we have created Multisim examples that show a quick functionality overview.

You can find many Multisim examples on our blog. Each sample has a variety of screenshots and descriptions of actions that you need to complete the task successfully. Check out the sample below right away!Continue reading

## Generating White Gaussian Noise Using Randn Function in Matlab

Matlab is a great tool for conducting scientific and engineering calculations. This software has a great number of toolboxes that gives a wide variety of possible operations. In the following article we are going to talk about generating white Gaussian noise using Randn function and plot it. If you are just learning how to use Matlab, our guide should help. Besides you can check other samples available on our blog and find more essential information for your engineering classes.

Mathematics, programming, engineering – it’s not a complete list of disciplines that our expert can cover. If you will find out that your discipline is missing in the order form, simply mention it and we will find the expert that will be ready to complete your task. We strive to make the ordering process easy and fast, so it will take no more than five minutes to complete the order form. For your convenience, our service is available seven days a week. Value your time and choose Assignment.EssayShark.com.Continue reading

## An Example of Swap Without Temp

Here is a solution to the problem ofswap without temp. Now a similar problem that a student may have can be solved as follows in our example. If our sample has made a good impression on you then you should consider getting help from Assignment.EssayShark.com. Our expert will follow all of your requirements and academic standards while dealing with your order. Next, we should mention that we are available 24/7, so you can get our help any time you need.

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## Relationship Graph Construction Example

In the example you can read below, you can get information about the relationship graph solution that was written by one expert from Assignment.Essayshark. If you have problems with understanding a particular math assignment, you can ask for help from one of our math gurus!

When students are taking math classes, they frequently have problems with understanding all of the material. Also, math tutors usually give a lot of complex homework that not every student can do. Students can find assistance in books, but in a tight studying schedule you need to set priorities between disciplines and personal life. With the help of our service you can receive expert help with homework on various disciplines, so you can spend more time on more things that are important for you.

## Solve Ode: MATLAB Assignment Example

**Task:**

Solve the following second order linear homogeneous ODE using Matlab:

*y*” +4* y*‘ – 3*y* = 0,

*y*(0) = 1, *y*‘(0) = 0

## Check Out This Example of Polynomial With Solution

**Task:**

Check whether the polynomials p1(x)=x2+4x, p2(x)=1+x3+x2, p3(x)=x3+x, p4(x)=x2-5 form a basis in the space P3.

**Solution:**

The standard basis in the space P3 look like {1, x, x2, x3}, and they have 4 basis elements. To prove that polynomials p1, p2, p3, p4 form a basis in the space P3 it is sufficient to show that they are linearly independent.