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• Efficient way to manipulate large powers of two

  - by bguiz

  The most efficient way to code powers of two is by bit shifting of integers. 1 << n gives me 2^(n-1) However, if I have a number that is larger than the largest value allowed in an int, what can I use to efficiently manipulate powers of 2?

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• Is there any sence in performing binary AND with a number where all bits are set to 1

  - by n535

  Greetings everybody. I have seen examples of such operations for so many times that i began to think that i am getting something wrong with binary arithmetics. Is there any sense to perform the following: byte value = someAnotherByteValue & 0xFF; I don't really understand this, because it does not change anything anyway. Thanks for help. …

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• Determine if point intersects 35km radius around another point? Possible in Linq?

  - by Xaisoft

  Assume I have a point at the following location: Latitude: 47°36'N Longitude: 122°19'W Around the above point, I draw a 35Km radius. I have another point now or several and I want to see if they fall within the 35Km radius? How can I do this? Is it possible with Linq given the coordinates (lat, long) of both points?

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• Code computing the cross-product

  - by WizardOfOdds

  This is not a dupe of my question: http://stackoverflow.com/questions/2532810/detecting-one-points-location-compared-to-two-other-points If I have the following piece of pseudo-C/Java/C# code: int a[]= { 30, 20 }; int b[] = { 40, 50 }; int c[] = {12, 12}; How do I compute the sign of the cross-product ABxAC? I'm only interested in the…

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• Tangent of a parametric discrete curve

  - by gregseth

  I have a parametric curve, say two vectors of doubles where the parameter is the index, and I have to calculate the angle of the tangent to this curve at any given point (index). Any suggestion or link about how to do that? Thanks.

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• Determine Whether Two Date Ranges Overlap

  - by Ian Nelson

  Given two date ranges, what is the simplest or most efficient way to determine whether the two date ranges overlap? As an example, suppose we have ranges denoted by DateTime variables StartDate1 to EndDate1 and StartDate2 to EndDate2.

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• Using JavaCC to infer semantics from a Composite tree

  - by Skice

  Hi all, I am programming (in Java) a very limited symbolic calculus library that manages polynomials, exponentials and expolinomials (sums of elements like "x^n * e^(c x)"). I want the library to be extensible in the sense of new analytic forms (trigonometric, etc.) or new kinds of operations (logarithm, domain transformations, etc.), so a…

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• How can you represent mathematical constant "e" as a value in JavaScript?

  - by austin cheney

  How can you represent mathematical constant "e" as a value in JavaScript?

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• What's a good matrix manipulation library available for C ?

  - by banister

  Hi, I am doing a lot of image processing in C and I need a good, reasonably lightweight, and above all FAST matrix manipulation library. I am mostly focussing on affine transformations and matrix inversions, so i do not need anything too sophisticated or bloated. Primarily I would like something that is very fast (using SSE perhaps?),…

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• posmax: like argmax but gives the position(s) of the element x for which f[x] is maximal

  - by dreeves

  Mathematica has a built-in function ArgMax for functions over infinite domains, based on the standard mathematical definition. The analog for finite domains is a handy utility function. Given a function and a list (call it the domain of the function), return the element(s) of the list that maximize the function. Here's an example of…

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• PRIME1 problem in SPOj. i get a SIGSEGV error y?pls help me out

  - by R Karthikeyan

  #include<stdio.h> main() { long long int m,n,i,j; int t; scanf("%d",&t); while(t--) { scanf("%lld",&m); scanf("%lld",&n); long long int a[n+2]; for(i=0;i<=n;i++) { a[i]=1; } for(i=2;i<=sqrt(n);i++) { j=2; …

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• Can my loop be optimized any more? (C++)

  - by Sagekilla

  Below is one of my inner loops that's run several thousand times, with input sizes of 20 - 1000 or more. Is there anything I can do to help squeeze any more performance out of this? I'm not looking to move this code to something like using tree codes (Barnes-Hut), but towards optimizing the actual calculations happening inside,…

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• Interconversion between decimal and any other base-n number system

  - by Webbisshh

  Hello there, I have written some general functions to convert between decimal and any other base-n number system(n<=36 for now) and vice-versa. Don't want to make things messy here so i have posted the code here. Could anybody suggest any better way for this? May be more effective and Rubyish? Thanks

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• Does Python/Scipy have a firls( ) replacement (i.e. a weighted, least squares, FIR filter design)?

  - by delicasso

  I am porting code from Matlab to Python and am having trouble finding a replacement for the firls( ) routine. It is used for, least-squares linear-phase Finite Impulse Response (FIR) filter design. I looked at scipy.signal and nothing there looked like it would do the trick. Of course I was able to replace my remez and freqz…

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• Is there any sense in performing binary AND with a number where all bits are set to 1

  - by n535

  Greetings everybody. I have seen examples of such operations for so many times that I begin to think that I am getting something wrong with binary arithmetic. Is there any sense to perform the following: byte value = someAnotherByteValue & 0xFF; I don't really understand this, because it does not change anything anyway.…

  Read the article

• help with multiplying polynomials in lisp

  - by iulia

  for example:( 3x2-5x+2)(7x+1) and you simlify it like this: ((3 2)(-5 1)(2 0))((7 1)(1 0)) ((21 3)(3 2)(-35 2)(-5 1)(14 1)(2 0)) (21 3)(32 2)(9 1)(2 0) and you get this answer: 21x2+32x2+9x+2 i need this solution in lisp please help

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• Fastest primality test

  - by Grigory Javadyan

  Hi. Could you suggest a fast, deterministic method that is usable in practice, for testing if a large number is prime or not? Also, I would like to know how to use non-deterministic primality tests correctly. For example, if I'm using such a method, I can be sure that a number is not prime if the output is "no", but what…

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• Mapping Hilbert values to 3D points

  - by Alexander Gladysh

  I have a set of Hilbert values (length from the start of the Hilbert curve to the given point). What is the best way to convert these values to 3D points? Original Hilbert curve was not in 3D, so I guess I have to pick by myself the Hilbert curve rank I need. I do have total curve length though (that is, the maximum value…

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• Animation with Initial Velocity

  - by abustin

  I've been trying to solve this problem for a number of days now but I must be missing something. Known Variables: vi = Initial Velocity t = Animation Duration d = Distance The function I'm trying to create: D(t) = the current distance for a given time Using this information I want to be able to create a smooth animation…

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• Divide and conquer method to compute roots [SOLVED]

  - by hellsoul153

  Hello, Knowing that we can use Divide-and-Conquer algorithm to compute large exponents, for exemple 2 exp 100 = 2 exp(50) * 2 exp(50), which is quite more efficient, is this method efficient using roots ? For exemple 2 exp (1/100) = (2 exp(1/50)) exp(1/50) ? In other words, I'm wondering if (n exp(1/x)) is more efficient…

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• How can I transform latitude and longitude to x,y in Java?

  - by hory.incpp

  Hello, I am working on a geographic project in Java. The input are coordinates : 24.4444 N etc Output: a PLAIN map (not round) showing the point of the coordinates. I don't know the algorithm to transform from coordinates to x,y on a JComponent, can somebody help me? The map looks like this: …

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• PHP Code to Generate Simple Flowchart

  - by revbackup

  I am making a flowchart out the subjects in the curriculum of our school. a flowchart is generated through its preRequisite.... for example FIRST YEAR FIRST SEMESTER SUBJECTS ---- PREREQUISITE MATH 1 ---- NONE MATH 2 ---- NONE ENGL 1 ---- NONE SOCIO 1 ----- NONE POLSCI 1 ----- NONE FIRSTE YEAR…

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• Java Polynomial Multiplication with ArrayList

  - by user1506919

  I am having a problem with one of my methods in my program. The method is designed to take 2 arraylists and the perform multiplication between the two like a polynomial. For example, if I was to say list1={3,2,1} and list2={5,6,7}; I am trying to get a return value of 15,28,38,20,7. However,…

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• mod,prime -> inverse possible

  - by Piet

  Hi all. I was wondering if one can do the following: We have: X is a product of N-primes, thus I assume unique. C is a constant. We can assure that C is a number that is part of the N-primes or not. Whichever will work best. Thus: X mod C = Z We have Z and C and we know that X was a…

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• Linear regression confidence intervals in SQL

  - by Matt Howells

  I'm using some fairly straight-forward SQL code to calculate the coefficients of regression (intercept and slope) of some (x,y) data points, using least-squares. This gives me a nice best-fit line through the data. However we would like to be able to see the 95% and 5% confidence intervals…

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