Tag Archives: computer

“Digital”, the new buzword

Now for more exiting and less mathematical stuff.

I don’t know if this is “the way forward” or “just bullshit”, but McKinsey knows (something).

So on with “Digital” in education:

This is the introduction –

Companies today are rushing headlong to become more digital. But what does digital really mean?

For some executives, it’s about technology. For others, digital is a new way of engaging with customers. And for others still, it represents an entirely new way of doing business. None of these definitions is necessarily incorrect. But such diverse perspectives often trip up leadership teams because they reflect a lack of alignment and common vision about where the business needs to go. This often results in piecemeal initiatives or misguided efforts that lead to missed opportunities, sluggish performance, or false starts.

And the rest of it is here

http://www.mckinsey.com/industries/high-tech/our-insights/what-digital-really-means

Have fun. The words are easy.

 

 

 

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Matrix inversion, row ops, program added

The row operation matrix inversion method is so neat and ingenious, and it has the same operations for all dimensions of matrix.

Here is a step by step approach, where firstly the dimension is chosen, then the first of the buttons is selected (Start). After which the buttons are selected in order. The states of the left and right matrices are displayed at each stage, and finally the identity matrix appears on the left, and the inverse of the original matrix appears on the right.

http://mathcomesalive.com/mathsite/matrix%20prog%203.html

matrix-inverse-screen-dump-0

The first display shows the original matrix on the left. Nothing has been done yet.

 

matrix-inverse-screen-dump

The second one is the 2 x 2 matrix inverted.

matrix-inverse-screen-dump-2

The third is the 4 x 4 matrix inverted.

The matrices can be altered with the file name for the application, “matrix prog 3.html”. using right click and “view page source”. You are then on your own, with javascript !!!!!!!!

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Filed under arithmetic, computer, discrete model, engineering, javascript, Uncategorized

Matrix inversion made relatively easy

This is the standard way of inverting a matrix. I came across this first in 1960. Oh so long ago! Goodbye Cramer’s Rule.
matrix-inverse-theory

matrix-inverse-theory-p2

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A fun math/computing problem

I found this on http://www.playwithyourmath.com/ and adapted it a little.

The number 25 can be broken up in many ways, like 1+4+4+7+9

Let’s multiply the parts together,  getting 504 (or something near)

Problem 1: Find the break-up which gives the max product of the parts. 1+1+1+…+1 is not much use.

Problem 2: Find a rule for doing this for any whole number.

Problem 3: Put this rule in the form of a computer algorithm (pseudocode is OK)

Problem 4: Write the rule as a single calculation (formula)

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Filed under algebra, math, operations