# Bruce Raine

I like to solve most kinds of maths problems that I come across. I have used MATLAB for around 7 years and really enjoy programming it to solve maths and statistics problems. I hold a Masters degree entitled: Master of Computing and Mathematical Sciences (Hons).

Professional Interests: Maths and Programming

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Solved

Frobenius Norm

Write your own version of Frobenius Norm without using the 'norm' function.

mer än 10 år ago

Problem

Frobenius Norm

Write your own version of Frobenius Norm without using the 'norm' function.

mer än 10 år ago | 1 | 91 solvers

Solved

Simple date to serial no. conversion

Convert a date string to a serial date number. For example if you take x='19-May-2001' then the result is 730990 x...

mer än 10 år ago

Solved

Find the definite integral of various linear functions

A definite integral had a minimum and maximum limit. When you solve this type of problem you must use both quad and the trapz fu...

mer än 10 år ago

Problem

Find the definite integral of various linear functions

A definite integral had a minimum and maximum limit. When you solve this type of problem you must use both quad and the trapz fu...

mer än 10 år ago | 1 | 51 solvers

Problem

How long do each of the stages of the rocket take to burn?

A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

mer än 10 år ago | 1 | 212 solvers

Solved

How long do each of the stages of the rocket take to burn?

A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

mer än 10 år ago

Problem

Find the nearest integer

Given a vector of integers and a real number find the closest integer. EX: >> a = [2 4 5 6 8 10]; >> b = 4.6; >> nea...

mer än 10 år ago | 2 | 331 solvers

Solved

Find the nearest integer

Given a vector of integers and a real number find the closest integer. EX: >> a = [2 4 5 6 8 10]; >> b = 4.6; >> nea...

mer än 10 år ago

Problem

How many days does the cat take to climb out of the hole?

A cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for ever...

mer än 10 år ago | 4 | 75 solvers

Solved

How many days does the cat take to climb out of the hole?

A cat accidentally falls down a hole with sloping but rough sides. It can climb out of the hole of height h metres, but for ever...

mer än 10 år ago

Solved

Penny flipping - calculate winning probability (easy)

Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

mer än 10 år ago

Solved

Sorted highest to lowest?

Return 1 if the input is sorted from highest to lowest, 0 if not. Example: 1:7 -> 0 [7 5 2] -> 1

mer än 10 år ago

Solved

Bottles of beer

Given an input number representing the number of bottles of beer on the wall, output how many are left if you take one down and ...

mer än 10 år ago

Solved

radius of a spherical planet

you just measured its surface area, that is the input.

mer än 10 år ago

Solved

Swap the input arguments

Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

mer än 10 år ago

Solved

Multiply a column by a row

* Given a column vector C and and a row vector R. * Output a matrix M. * Every column of M equals to C multiplied by correspon...

mer än 10 år ago

Solved

Distance walked 1D

Suppose you go from position 7 to 10 to 6 to 4. Then you have walked 9 units of distance, since 7 to 10 is 3 units, 10 to 6 is 4...

mer än 10 år ago

Solved

Extract leading non-zero digit

<http://en.wikipedia.org/wiki/Benford%27s_law Benford's Law> states that the distribution of leading digits is not random. This...

mer än 10 år ago

Solved

Replace multiples of 5 with NaN

It is required to replace all values in a vector that are multiples of 5 with NaN. Example: input: x = [1 2 5 12 10 7] ...

mer än 10 år ago

Solved

The Answer to Life, the Universe, and Everything

A variation of a previous Hitchhiker's Guide to the Galaxy problem. *Inputs:* Life, the Universe, and Everything *Output:*...

mer än 10 år ago

Solved

Rotate a Matrix by 90 degrees

Rotate a Matrix by 90 degrees Example: If the input is: X = 1 2 3 4 5 6 7 8 9 ...

mer än 11 år ago

Solved

Convert from Base 10 to base 5

Convert the input number from base 10 into base 5: for example: if a(in base 10)= 5 then a(in base 5)= 10

mer än 11 år ago

Solved

Matrix indexing with two vectors of indices

Given a matrix M and two index vectors a and b, return a row vector x where x(i) = M(a(i),b(i)).

mer än 11 år ago

Solved

Compute a dot product of two vectors x and y

x and y are input vectors, d is a number and contains their dot product

mer än 11 år ago

Solved

Whether the input is vector?

Given the input x, return 1 if x is vector or else 0.

mer än 11 år ago

Problem

Is A the inverse of B?

Given a matrix A and a matrix B, is A the inverse of B? >>A=[2,4;3,5]; >>B=[-2.5,2;1.5,-1]; >>isInverse...

mer än 11 år ago | 11 | 723 solvers

Solved

Sum of first n terms of a harmonic progression

Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

mer än 11 år ago