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Determining complexity for recursive functions (Big O notation)

...) = a + 2 * T(n - 1) where a is some constant By induction: T(n) = a + 2a + 4a + ... + 2^(n-1) * a + T(0) * 2^n = a * 2^n - a + b * 2^n = (a + b) * 2^n - a = O(2 ^ n) where a, b are some constant. 5. T(n) = n / 2 + T(n - 5) where n is some constant Rewrite n = 5q + r where...
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What are some (concrete) use-cases for metaclasses?

...a couple functions I found that I was able to increment the figure count, call draw manually, etc, but I needed to do these before and after every plotting call. So to create both an interactive plotting wrapper and an offscreen plotting wrapper, I found it was more efficient to do this via metacla...
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Why does += behave unexpectedly on lists?

... The general answer is that += tries to call the __iadd__ special method, and if that isn't available it tries to use __add__ instead. So the issue is with the difference between these special methods. The __iadd__ special method is for an in-place addition, that i...
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difference between variables inside and outside of __init__()

Is there any difference at all between these classes besides the name? 10 Answers 10 ...
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What is the difference between class and instance attributes?

...just look in each instance's __dict__ and the class's __dict__. It just usually doesn't matter very much whether immutable types are shared or not. – abarnert Oct 29 '14 at 22:58 1...
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Can someone explain __all__ in Python?

I have been using Python more and more, and I keep seeing the variable __all__ set in different __init__.py files. Can someone explain what this does? ...
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How to join components of a path when you are constructing a URL in Python

... Specifically once I have that the prefix has to ends in / and that the target path can't begin in / I might as well just concatenate. In this case I am not sure if urljoin is really helping? – amjoconn ...
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Is this object-lifetime-extending-closure a C# compiler bug?

...L_000e: ldloc.0 IL_000f: ldc.r8 42 IL_0018: ldc.r8 1 IL_0021: call float64 [mscorlib]System.Math::Pow(float64, float64) IL_0026: stfld float64 ConsoleApplication1.Program/Foo/'<>c__DisplayClass1'::capturedVariable IL_002b: ldarg.0 IL_002c: ldloc.0 IL_002d: ldftn ins...
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Expand a random range from 1–5 to 1–7

...for some readers. It assumes rand5() is a function that returns a statistically random integer in the range 1 through 5 inclusive. int rand7() { int vals[5][5] = { { 1, 2, 3, 4, 5 }, { 6, 7, 1, 2, 3 }, { 4, 5, 6, 7, 1 }, { 2, 3, 4, 5, 6 }, { 7, 0, 0, 0, 0...
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How to import other Python files?

... importlib was added to Python 3 to programmatically import a module. It is just a wrapper around __import__, see the docs. import importlib moduleName = input('Enter module name:') importlib.import_module(moduleName) Note: the .py extension should be removed from mod...