ThePolymathPlus solver is available as a web application or a Windows desktop application. A link to the online solver becomes visible on the left menubar after login. We are encouraging users to switch to the online version while keeping support for the Windows desktop application for paid licenses.
Our internal algorithms have been extensively used over the years by many engineering faculties in universities across the world. Students and professionals will appreciate the ease of use and the comprehensive solution reports of our application.
PolymathPlus can solve linear equations of any size. The number of equations should be equal to the number of unknown linear variables. Here's an example of 3 linear equations to be solved simultaneously:
When solving simultaneous nonlinear equations, the equations have to be written as root expressions (expressions that are equal to zero in the solution). In addition, an initial guess should be provided for each nonlinear variable.
Below is a sample problem and data entry for solving 2 nonlinear equations:
When entering the problem into PolymathPlus, we should enter the root expressions, each associated to a nonlinear variable function. We should also provide an initial estimate for each nonlinear variable. In the example below, we have 2 nonlinear variables x and y, hence 2 root functions, and we provide an initial guess of 1 for both x, and y.
In case we only have one nonlinear equation to solve (with any number of auxiliary expressions), we need to provide a min/max estimates for the nonlinear variable. For example, below is a PolymathPlus program for solving one nonlinear equation where we need to evaluate V:
PolymathPlus supports curve fitting for polynomial, multi-linear, and nonlinear regression. The report evaluates the model variables, generates a regression chart, residual plots, and provides statistics on the accuracy of the model.
Here is an example of the data entry required for solving a linear regression model for a given set of data points.
We solve a polynomial regression model with the order of 1 (hence linear regression) which best fits the linear equation matching the given data points.
Below is an example of a data entry for solving nonlinear regression model for a given set of data points. The model variables to be found are a and b, for which we should also provide an initial guess.
PolymathPlus enables users to customize the format of solution reports and the selection of algorithms using hints. These hints are stored within the PolymathPlus program file and are prefixed with #@.
The sample program below includes several hint lines, used to modify the number of digits displayed in the report, adjust the size and content of the chart, and display a table of intermediate data points in the solution report.
Access to the online solver requires users to be registered and logged in. Once logged in, users can access the online solver.
If you're a new user, please fill out the form below to register and gain login access.
This section pertains to organizations purchasing bulk licenses, who may also intend to utilize PolymathPlus on their public lab computers. To view or renew the site license, please access the site admin page using the form below. The site's admin page also contains information on how to distribute the software and the keys users will need to claim the advanced features.
PolymathPlus offers a free online package designed to solve various numerical problems. This includes tackling challenges such as nonlinear equations, ordinary differential equations, linear, polynomial, and nonlinear curve fitting, and more.
Additionally, PolymathPlus offers premium packages that are equipped to handle more complex tasks. For instance, these packages are capable of solving larger problems, such as situations involving more than five simultaneous nonlinear equations or ordinary differential equations. To access these solver packages, users are required to sign up by following a free simple registration process which grants users the access they need to leverage the capabilities offered by PolymathPlus.
Please note that the free package is designed for individual users. Organizations interested in utilizing our software are kindly requested to add their site to our database and purchase site licenses for their student and/or professional users.
Yes. The online version of PolymathPlus is accessible from all modern browsers and devices. This includes laptops and desktops running Windows or macOS, utilizing any of the following supported web browsers: Chrome, Safari, Opera, Firefox, and Edge.
The software can also be used on Android and iOS smartphones, as well as tablets, using the Chrome, Safari, Opera, and Firefox browsers.
Additionally, we offer a dedicated desktop version, currently available exclusively for Windows computers.
Simply visit the PolymathPlus main page and register by clicking the Register menu item on the left panel. Upon submission, a login password will be sent to your email. Registration is free and simple.
After the dissolution of the Polymath team/organization, the principal developer took the initiative to rekindle the project. Drawing from more than 25 years of software development and extensive research in numerical packages, a new package was crafted.
The new organization has its foundation in Georgia , specifically in Tbilisi. Our office, though modest, serves as a hub for our dedicated staff. We maintain ties with many US-based universities and others worldwide.
Once the user has registered and was able to test the free version of PolymathPlus he may follow these step to purchase a the advanced 'Student' license. Open the profile page (click 'My Profile' on the left menubar panel), on the bottom licenses section verify the 'Invidivual License' option is checked and then click the 'Buy Student License' button next to it. Once an invoice ID is showing, you may click the 'Pay' button to pay the invoice. When clicking the 'Pay' button, you will be directed to an external Paypal payment page. Once payment with a credit card or paypal account is complete, you may return to the profile page to activate the License by clicking the 'Confirm Payment' button. Note that after the first activation the user has to logout, and then log back in. The user may view and/or save the invoice at his convenience.
Users are required to complete online registration first. Afterward, they can proceed to their profile page and initiate the process of 'Claiming a Site License'. This entails entering a designated special key, which is exclusively provided by their organization's IT Administrator.
Here are the steps for users who are members of the site: Open the profile page (click 'My Profile' on the left menubar panel), on the bottom licenses section check the 'Claim Site License' option box Enter the site specific key that was provided by the Site IT Admin. Save the Profile. Logout, and then log back in. You should be able to see the license type on the title bar of the Solver page.
The linked site name will be shown on the status bar panel.
PolymathPlus embeds web content via the Microsoft Edge WebView2 Runtime. Hence, the Windows desktop application requires the WebView2 Runtime in case Microsoft Edge is not already installed on the computer. You can download the WebView2 Runtime from Microsoft Evergreen Bootstrapper.
If the application errors with 'The system cannot find the file specified (0x80070002)' you may need to manually download and install 'WebView2 Runtime' from this Microsoft web link:
WebView2 Evergreen Bootstrapper
This error occurs when the numerical solver algorithm uses an adaptive step size to maintain error control and reduces the step size excessively, hindering progress in solving the equation set. This is leading to too many steps for getting the solution.
The arithmetic operations generate numbers that are too large or too small leading to significant accuracy errors.Consider changing initial/final values or explicit variables values. Pay special attention to power operations which may result in huge numbers.
Additionally, we are actively seeking sponsors to support our work. We firmly believe that PolymathPlus has the potential to bring substantial benefits to universities, organizations, and their respective communities. By becoming a sponsor, your institution can play a pivotal role in advancing mathematical modeling and calculations while also receiving recognition for supporting this widely-used tool.
PolymathPlus began as a Windows desktop application and expanded its offerings to include an online web application. Our passion and dedication drive us to continually innovate and refine our solutions. We are committed to providing a top-notch numerical solver package to tackle mathematical challenges with ease and confidence.
We have recently initiated a new operation in the picturesque region of Georgia. With high hopes and aspirations, we aim to expand our reach and make a more significant and positive impact on the academic and scientific communities.
Firm NamePLMT Plus LLC Legal AddressOtar Kinkladze Street, N39
Chughureti District
Tbilisi 0101
Pre-scheduled calls: 08:00-10:00 AM ET Availability StatusMaintenance Status Our Vision Deliver the world's premier, user-friendly, yet advanced math solver, accessible and affordable for users worldwide, empowering learners, professionals, and enthusiasts to confidently conquer mathematical challenges. Terms and Conditions PolymathPlus does not warrant that the functions contained in the program will meet your requirements or that the operation of the program will be uninterrupted or error-free. In no event will PolymathPlus or its distributors or their dealers be liable to you for any damages, including any lost profit, lost savings, lost patience, or other incidental or consequential damage.
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Terms of Service (TOS)
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