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Browse College Algorithms
Stars indicate particularly interesting answers or
good places to begin browsing.
 Matching Invoices with Report Totals [10/31/2000]

I have 14 invoice values and 2 report totals. The sum of the invoices for
each report should be the report total. Is there a fast way of finding
which invoices go with each report, or determining if it is even
possible?
 Mathematical Formula for Erlang c [7/26/1996]

I would like to know the formula for erlang c, a formula that is used to
calculate the number of agents required to answer randomly delivered
calls into a call centre.
 Maximum Area Given Enclosing Lengths [11/21/2001]

I am given the lengths of a set of N line segments and I am supposed to
calculate the maximum area that can be enclosed using them. Is there an
efficient method of finding the solution?
 Monte Carlo Approximation of Pi [11/24/2001]

Using the circleinsquare model, find an algorithm to determine the
value of pi.
 Multiple Linear Regression [01/23/1997]

What are the formulas needed for multiple linear regression?
 Multiplying Sparse Matrices [12/01/2000]

Is there a reasonably fast way to multiply two matrices that are very
big, but sparse (they have many zeros)?
 The Official Euclidean Algorithm [11/16/2000]

Can you state briefly the "official" Euclidean Algorithm?
 Polynomial Congruence [02/28/2001]

Find a polynomial (F) in Field(7) with degree less then 4...
 Positive Unit Fractions [10/02/2002]

Find five different positive unit fractions whose sum is 1. (A unit
fraction is a fraction whose numerator is 1. All denominators must
also be natural numbers.)
 Power Spectrum [01/29/1998]

I'm currently writing a program that will show the power spectrum of a
sound using a microphone as an input... When I do a FFT I get a complex
number and just take the magnitude. Is there a more efficient way of
doing this?
 Producing MOD(x,y) with Arithmetic Operations [03/04/1998]

Is there any way to produce the "MOD(dividend,divisor)" spreadsheet
function using basic arithmetic operations?
 Programs to Find Prime Numbers [11/27/1996]

Can a program be written in BASIC to compute the number of prime numbers
smaller than n?
 The Risch Algorithm [11/30/1998]

Is there a known algorithm for simplifying and integrating mathematical
functions of one variable? What is the Risch algorithm?
 The Simplex Method [11/2/1996]

How does the simplex method work and what would I use it for?
 Solutions for Pell's Equation [12/11/2000]

Do you know of an algorithm to find solutions for Pell's equation (x^2 
Dy^2 = 1) for different values of D?
 Solving Nonlinear Systems with Many Variables [10/25/2000]

Do you know a numeric algorithm that solves systems of nonlinear
polynomial equations with up to 10 variables?
 Square Roots Without a Calculator [8/6/1996]

How do you get a square root without a calculator? What is the square
root of 7 to 5 decimal places?
 Strategy for Playing Mastermind and Similar Games [03/26/2007]

I'm trying to guess a 4digit number with unique digits and after each
guess I'm told how many digits are correct and in the right place and
how many are correct but in the wrong place. I use that feedback to
make better and better guesses until I find the correct number. Is
there a general strategy to minimize the guesses needed?
 Sum of Reciprocals [08/05/2008]

Find seven unique positive integers such that the sum of their
reciprocals is 1.
 Z Transforms and the Fibonacci Sequence [04/20/1998]

Can you suggest an example of using Z transforms to derive the equation
of a Fibonacci number?
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