![]() Notice that x + 3 = 7 and x = 4 are equivalent equations since the solution is the same for both, namely 4. Solution Subtracting 3 from each member yields Of an equation, the resulting equation is equivalent to the originalĮxample 1 Write an equation equivalent to If the same quantity is added to or subtracted from both members The following property, sometimes called the addition-subtraction property, is one way that we can generate equivalent equations. In solving any equation, we transform a given equation whose solution may not be obvious to an equivalent equation whose solution is easily noted. Notice in the equation 3x + 3 = x + 13, the solution 5 is not evident by inspection but in the equation x = 5, the solution 5 is evident by inspection. Thus,ģx + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5Īre equivalent equations, because 5 is the only solution of each of them. Hence, we need some mathematical "tools" for solving equations.Įquivalent equations are equations that have identical solutions. However, the solutions of most equations are not immediately evident by inspection. In Section 3.1 we solved some simple first-degree equations by inspection. SOLVING EQUATIONS USING ADDITION AND SUBTRACTION PROPERTIES The solutions to many such equations can be determined by inspection.Įxample 2 Find the solution of each equation by inspection. The first-degree equations that we consider in this chapter have at most one solution. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.Įxample 1 Determine if the value 3 is a solution of the equation The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. Will be false if any number except 4 is substituted for the variable. SOLVING EQUATIONSĮquations may be true or false, just as word sentences may be true or false. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7. The terms to the left of an equals sign make up the left-hand member of the equation those to the right make up the right-hand member. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. We call such shorthand versions of stated problems equations, or symbolic sentences. ![]() "Find a number which, when added to 3, yields 7"Īnd so on, where the symbols ?, n, and x represent the number we want to find. These techniques involve rewriting problems in the form of symbols. In this chapter, we will develop certain techniques that help solve problems stated in words.
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This allows us to see our CI checks running before we merge. Now that we have CI set up in our project from our last post it is good practice to switch to GitHub Flow where we work on branches and raise pull requests to merge into master. Next in our is-number project directory we want to make a new branch based off master which adds a new GitHub Actions workflow file. ![]() Now our token is available for use in our GitHub Actions workflows. ![]() We will give our secret a name of PYPI_PASSWORD and paste in the token that PyPI provided us. If we head to our repo on GitHub and then the Settings > Secrets page we should see a “New Repository Secret” button. We are going to add this token to our is-number repo as a secret. This is the only time we will see this token so we need to make note if it now. Let’s create one called is-number-publish for our is-number package. If you click “Add API Token” you will be able to give your token a name and select the scope. If we log into PyPI and head to our “Account Settings” page we will find an “API Tokens” section part way down the page. API keys have limited access to PyPI and can only push new versions to one specific project, this means if the key were to get out someone can only do limited damage with it. We could do the same thing in our GitHub Actions workflow, however it is better practice to use a more constrained API key instead. In part 3 we used twine to upload our package which prompted us for our username and password. The first thing we are going to need to do is allow GitHub Actions to publish packages to PyPI on our behalf. Conda Forge will then automatically detect this new version and update our feedstock over there, so we don’t need to worry about that. To automate our releases we are going to use GitHub Actions to build and publish our package to PyPI. In this post we are going to automate these steps so when we create our tag and push to GitHub everything else is done for us. ![]() In parts two and three of this series we tagged version 0.0.1 of our is-number package and manually distributed it to PyPI and Conda Forge. This is typically done by creating a tag on a specific commit in git and then packaging up the code at that commit and releasing it to the world. At some point the maintainers of the project will decide to release a new version. In many open source projects new code is added to a main branch via Pull Requests. Continuous DeliveryĬontinuous delivery (CD) is an automated process where software is packaged and delivered to the end user. In this post we will cover automatically packaging and releasing our project when a new git tag is pushed to GitHub. If you haven’t read the previous parts you may want to go back and check those out. 6 minute read #python, #github, #tutorialĬreating an open source Python project from scratch series. The newer Microsoft programming systems also require very large amounts of code to produce quite small results and the ASP.NET MVC version seems to be moving even more towards hand coding of javascript etc. NET and find the amount of effort to produce useful results is much higher and you also then need to create versions for the desktop, use ASP.NET/MVC or similar to create web browser versions and then further effort to target mobile devices and the focus is mainly on Microsoft based products with poor support for Apple/Android! I have also developed applications in Visual Studio and. It seems to prove my suspicion that it should still be possible to build today's applications using a simple language and IDE as we did in the past. My company has tried other mobile toolkits and the learning curve appears to be much greater than your intuitive product. Having mostly written applications using Visual Basic 6/SQL Server and various reporting tools over the last few years it was really easy to start working with your product and actually build something and see it working quickly. "I was very impressed with your NS Basic app studio product - my company will definitely purchase a copy shortly having tried out the demo version.Ī few comments (sorry this seems to be quite long!) So for me, NSB gets a thumbs up, and I am sure that in the future it will change to a big thumbs up as the GUI/Editor/documentation issues are resolved. But it sure is a lot easier if you only need to develop for one device and screen size. So far everything I tired worked, some better than others. Now I cannot afford to buy every device out there and I don't even own a Mac, but whenever I am near someone with a device I like to do a little test. Oh, and it had to look good, with either a full picture image background stretched to fit or tiled to fit, and all controls were re-sized and centered. But most important it had to run everywhere, on anything: PCs, Macs, Android and Apple devices. It connected to my server, exchanged data, sent email both from the app and the server, allowed for internal correspondence (social networking?), maintained a database (SQL on both the server and the app), used local storage in place of cookies, had a "coded" splash screen form which of course worked on iOS, and much much more. I wanted it to be an "everything/everywhere" app. My second app with NSB was a lot more aggressive. Third something or other: "monogamy is best but polygamy can work, just not as well". Oh, and don't forget the best "add-in" of all: this forum (thanks Less for that great procedure to ease building dual portrait/landscape apps). Solution, a java script add-in for the conversion and phonegap to save the file. I recently wrote an app that had to convert an html text file to pdf format and then save it to the device drive for printing with a separate device driver to a Brother printer. VB6 has many things missing but there are a plethora of DLLs, VBXs and OCXs that make up for this. It couldn't handle keyboard entry the way I wanted so I wrote a machine language routine. My first Basic compiler couldn't do drop down menus so I bought an add-in. I have never used an SDK that had everything I wanted. Second rule: "If you can't be with the one you love, love the one you're with". But it really is still apples and oranges. No way, damn why couldn't VB6 have this great capability like NSB? Thank you "Just for Fun" for this suggestion and the NSB team for listening. Did I like the quick response, advanced syntax checking, and debugging on my PC, yes, you bet I did? But then I kept finding myself highlighting groups of code and trying to right click to block comment. And then a few weeks ago I had some time on my hands and went back to a program in VB6. This is one reason I chose NSB, I could not do this in Java Script, even if I was proficient, the time to convert and debug, no thanks. I was trying to avoid rethinking the logic I used to create these routines and that was a success. I have since then gone back to many routines developed in VB6 and reused them in NSB, again after making some changes to syntax. ![]() ![]() I copied code directly from it to NSB, made a few syntactical changes, used the SDK to create the controls (similar to VB6) and that was it. ![]() My first app with NSB was a rewrite of a VB6 program. "First rule: don't compare SDKs, that's apples to oranges. |
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