integral

What's the most performant way to divide two integral values and obtain a floating point quotient in .NET?

Consider the following signature in C#: double Divide(int numerator, int denominator); Is there a performance difference between the following implementations? return (double)numerator / denominator; return numerator / (double)denominator; return (double)numerator / (double)denominator; I'm assuming that both of the above return ...

Best way to write a Python function that integrates a gaussian?

In attempting to use scipy's quad method to integrate a gaussian (lets say there's a gaussian method named gauss), I was having problems passing needed parameters to gauss and leaving quad to do the integration over the correct variable. Does anyone have a good example of how to use quad w/ a multidimensional function? But this led me t...

C# integral types inconsistency

I just started reading up on the C# language, and one of the first sections in my reading material is, naturally, variables and types. In short order I came across the integral types table, which listed sbyte, byte, short, ushort, int, uint, long, ulong and char. The exception to the pairing here is char, so let's disregard it and have ...

LaTeX puts too much space next to integrals

Integrals with limits take up width horizontally that includes their limits. In other words, if you have an integral with large limits below (or above) the integral \int\limits_{-\infty < x < c} (c - x) \ dP(x) you are left with a large amount of space to the left and right of the integral before the integrand (c - x) starts. This i...

C++ Integration Solution using Riemann Sum : Loses validity for greater than 10 partitions

In an effort to code the briefest solution I could for an approximation of the integral using Riemann sums, I ran into a strange problem: if the user requested a partition count in excess of 10, the program failed. Any thoughts? Here's the code: // The Integral #include <algorithm> #include <iomanip> #include <ios> #include <iostream> ...

Algorithm for calculating definite integrals with bounds at infinity

Suppose I have an integral that's bounded on one (or both) end by (-)infinity. AFAICT, I can't analytically solve this problem, it takes brute force (e.g. using a Left Riemann Sum). I'm having trouble generalizing the algorithm so that it sets the proper subdivisions; I'll either do far too much work to calculate something trivial, or ...

Min and Max value of integral type in C#

Whats the mathematical formulae to calculate the MIN and MAX value of an integral type using your calculator. I know you can use Integer.Max or Integer.Min etc or look it up on msdn however I want to know how to calculate it. ...

Output integral to ostringstream as binary?

I just realized that one can use bitset to output binary data to a stream based on the (fixed) size of the bitset. What's the least-extra-syntax way to output binary data to a stream using integrals? To show what I mean, here's a program and its output. I'd like the second line of output from this program to be identical to the first li...

What does 'Conditional expressions can be only boolean, not integral.' mean?

What does 'Conditional expressions can be only boolean, not integral.' mean? I do not know Java and I know C++ deffenetly not enought to understend what it means.. Please help (found in http://www.javacoffeebreak.com/articles/thinkinginjava/comparingc++andjava.html in Comparing C++ and Java item 7 sub item 1) ...

Determining the input of a function given an output (Calculus involved)

My Calculus teacher gave us a program on to calculate the definite integrals of a given interval using the trapezoidal rule. I know that programmed functions take an input and produce an output as arithmetic functions would but I don't know how to do the inverse: find the input given the output. The problem states: "Use the trapezoidal...