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Shave or dye, Irish Cancer Society

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Lca task exams this week. Best of luck everyone.

spring-of-mathematics

Golden Ratio φ = (1+sqrt(5))/2 = 1.6180339887498948482…

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0. Two quantities a and b are said to be in the golden ratio φ if

(a+b)/a = a/b = φ

One method for finding the value of φ is to start with the left fraction. Through simplifying the fraction and substituting in b/a = 1/φ:

(a+b)/a = 1+ b/a = 1+1/φ

Therefore: 1+1/φ = φ Multiplying by φ gives: φ^2 - φ - 1 = 0

Using the quadratic formula, two solutions are obtained::

φ = (1- sqrt(5))/2 or φ = (1+sqrt(5))/2

Because φ is the ratio between positive quantities φ is necessarily positive:

φ = (1+sqrt(5))/2 = 1.6180339887498948482…

See more at Golden Ratio.

Image: Phi (golden number) by Steve Lewis.

fencehopping

Physics.

Mythbusters fire a soccer ball at 50mph out of a cannon on a truck driving at 50mph in the opposite direction.

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while this looks cool and all, what, were people expecting something different?

Velocities are vectors. They’re cumulative. If you are moving at 50 mph and toss something 50mph relative to your speed in the opposite direction, of course they’re gonna cancel out.

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So I think I’ve said this before on this post, but theories require constant testing and verification. Expected results are as important science as unexpected results. Yes, we know that combining reference frames combines like vectors. How do we know this? Because people did these types of experiments again and again and again.

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also it’s just cool to see

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(x)

hatefuldreams

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75 · 100 · 1 · 6 · 2 · 7

For a target of: 640

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Crystal Math

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Student Interviews

RETURN APPLICATION FORMS

Anyone out there who has an application form to join Ballaghaderreen Youthreach needs to get it back to the office. Interviews will be held in the next couple of weeks, to start after Christmas.