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Posts tagged with equations

Equations decode the chaos of cancer

January19

A recent news article (in the NZ Herald) indicated some hope in the chase to find effective cancer cures. It noted, “A cancer forms when a cell in the body goes awry, multiplying out of control to form a tumour. A typically-sized cancer tumour is made up of more cells than there are people on […]

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Talking about Math…let’s change the subject!

May11

So, you are at a friend’s party and they ask, “What did you do in the weekend?” You reply, “Well, I did a bit of Math and…” Whaaat?” they say, startled. “You did What???” “Mathematics!” “And what kind of Math did you do that made your weekend so exciting?” “Change the subject!” you say to […]

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New Tools to Explain old Newton Equations

May5

One of history’s great geniuses, Isaac Newton (yes, the mathematician with the curly hair sitting under the apple tree), developed differential equations in the 1600s. But we aren’t all geniuses, so here’s the definition given in Differential Equations for Dummies (caution – this link downloads over 300 pages!) such equations “involve derivatives, which specify how […]

Using Math to predict the future…

October3

Predicting the future to make money – that’s what Ernie Chow does for an investment funds manager. His skill in developing differential equations to model future trends in the stock market, along with his ability to solve those same equations means he can predict the future. Or at least do it as well as science […]

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Toroidal Bubbles

July7

A quite amazing phenomena, toroidal bubbles can be found in many fluids. Technically, During the collapse of a bubble near a surface, a high-speed liquid jet often forms and subsequently impacts upon the opposite bubble surface. The jet impact transforms the originally singly-connected bubble to a toroidal bubble, and generates circulation in the flow around […]

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Earthquake equations to help in disaster planning

April29

New Zealand scientists are surveying several hundred people about their experiences in the February 2011 earthquake which devastated many parts of Christchurch, in the South Island. “Teams of scientists will scour the quake-shattered eastern suburbs of Christchurch to gather vital information to improve earthquake hazard and risk assessments in New Zealand. Where owners or occupiers […]

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Living Equations = Math Beauty on Steroids

November8

This video by Yann Pineill & Nicolas Lefaucheux, gives a dynamic view into living equations. The animated triptych (triple picture frame) shows an equation on the left, its quantified schematics in the center, and its real world manifestation on the right. “We wanted to explore beauty with an angle as objective as possible, and we […]

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Why we love equations, especially simple ones!

September19

This 50min youtube video from the BBC is a great overview of the use of equations in Mathematics and Science. Click on the image of Einstein’s famous equation below to gain a greater understanding of the exciting world of equations (PS: first half of video is probably the best):

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The Mathematics of Sailing

July20

As the previous post indicated, Mathematics is at the heart of every top sport – whether in the data collection and analysis or in the calculation of successful equations to balance performance against each parameter. In this article from WhyDoMath the goal in yacht design is to find the most efficient shape of the hull its […]

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Cracking the Sailing Equation…

July16

“The cat was let out of the bag – so to speak – very early on in Team NZ’s testing programme in the new AC72 class, after a sailing enthusiast and amateur photographer snapped pictures of the team out training, which appeared to show both hulls of the Kiwi boat flying clear of the water. […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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