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A quick portait of Gerry, by Maria

January 10th, 2012 1 comment

My daughter loves to draw and doodle. She has the artistic gift, something that passed me by. She doodled this simple little portrait of me the other day and I was impressed how she had captured something about me, even though it’s a very simple sketch.

Here it is morphing out of the real thing. What do you think?

photo to sketch morph

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Broccoli Burritos with chickpea and roasted pepper filling

November 10th, 2011 No comments

This has been a staple favourite of mine if I’m entertaining as it works well as a party buffet snack (chopped in quarters) or as part of a main meal served with rice and salad. These are dead easy (a food processor is required) to prepare and turn out extremely tasty.

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Vegan chocolate tray bake topped with ganache

October 30th, 2011 No comments

Vegan chocolate tray bakeI went along to my first meetup of the Edinburgh Cinema group and Elise the facilitator had generously baked a chocolate cake for everyone. This was my first knowing encounter with ganache as an icing alternative and I was pointed towards Beatty’s Chocolate Cake for the recipe of the deliciously moist cake.

Inspired by this, I fancied adapting this into a vegan tray-bake and my first attempt turned out no’ too bad.
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Writing the script for Spain v Scotland

October 11th, 2011 Comments off

Even if, like me, you’re not a Scot, you probably still feel a sense of a pre-ordained script for tonight’s Euro 2012 qualifier in Alicante. Scotland have that traditional glimmer of a chance at making it to the next stage. It is even in their hands – beat Spain and they are through to the play-offs.

But Scottish sport doesn’t usually work like that. The script generally goes like this:

The small glimmer of hope is consolidated by valiant and sometimes heroic efforts.

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Here is a knockout formula

October 11th, 2011 No comments

a = 2 (n – R)

I always like a good real-world application of mathematics, in this case algebra.

FA Cup draw

Photo by Matlock

The question

If you’re organising a knockout tournament for something and the number of players or teams is not a neat power of two, how many players have to be drawn in round 1, so that round 2 is a neat power of two? I figured this out by solving this pair of equations:

a + b = n
0.5a + b = R

where a is the number of players to be drawn in round 1, b is the remainder of players to be drawn in round 2, n is the total no. of players and R is the largest power of two less than or equal to n.

Solving the equations

0.5a + (n-a) = R
a + 2n - 2a = 2R
2n - a = 2R
a = 2n - 2R
a = 2(n - R)

An example

91 players enter our tournament, how many must be drawn in round 1?
n = 91, R = 64
a = 2 x (91 - 64)
a = 54
So we draw 54 players in round 1, which produces 27 winners to meet the remaining 37 players in round 2.

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Top 100 twitter clients

September 11th, 2011 1 comment

I have repeated the sampling of Twitter’s “sprinkler hose” that I carried out in April 2010. The data suggests that less than 10% of Twitter users are using twitter.com to interact with Twitter. The sample is based on 116,293 tweets captured between 4pm and 5pm BST on 11 Sep 2011. Read more…

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