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Showing posts with the label Problem WinError 2 Solution

Prove that (f+g)(x) is an odd function, if f and g are odd functions (Stewart, Calculus)

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Suppose f(x) and g(x) are odd functions. Prove that (f+g)(x) is also an odd function.  Answer:  1. Strategy By definition, f is an odd function if and only if f(-x) = - f(x) To show (f+g) is an odd function, we need to show (f+g)(-x) = - (f+g)(x) 2. Explanation Since $f(x)$ and $g(x)$ are odd functions $\Rightarrow f(-x) =-f(x)$ and $g(-x) =-g(x)$ By definition of sum of functions. $(f+g)(-x) =f(-x)+g(-x)$ $=-f(x)-g(x)$ $=-(f(x)+g(x))$ $=-(f+g)(x)$ (by definition of sum of functions) $\Rightarrow(f+g)(-x) =-(f+g)(x)$ $\Rightarrow f+g$ is an odd function. Q.E.D. 
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[Python] Sublime Text: set a build on Python 2.7 creating a sublime-build file (solution to WinError 2 problem)

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If anyone attempts to install Sublime Text, faces an error message [WinError 2], and notices your Python code does not work (like I did), I suggest you to do the following: (note: I am working this on Windows 10)  Situation: error message on my computer when I run "Build" by pressing ctrl+B  1. Make sure your Python code is saved (e.g. I saved my HelloWorld.py file on my C:\Brian\PythonLab)  2. Go to Tools > Build System > New Build System 3. on the untitled.sublime-build, type the following {     "cmd": ["( your directory for Python goes here )", "-u", "$file"],     "file_regex": "^[ ]*File \"(...*?)\", line ([0-9]*)",     "selector": "source.python" } In my case, I installed Python 2.7 on the directory C:\python27 Note that the directory should be represented using double \ (\\).  That is, C:\\Python27\\python.exe  So in my case: { "cmd": ["C:\\Python27\\python.exe...
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