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Posts tagged with modelling

Motion in the Cellular Ocean

June7

A mathematical model that describes how cells change their shape during movement suggests that the movement is mainly driven by the contraction of the skeletal proteins, called “myosin.” The new model developed at Penn State can help researchers to better understand the various biological processes where cellular movement plays a key role and also could […]

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The Mathematical Genius Behind the oldest International Sport

June21

Team New Zealand is the crew sailing against America for “The Old Mug”, a rather ugly trophy that represents the Formula 1 of yachting and is the oldest international sporting competition. It was initially sailed in large sloops, but is now hi-tech in catamarans than lift off the ocean on complex “foils” – thereby providing […]

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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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Mathematicians take notice

June11

The Notices is the world’s most widely read magazine aimed at professional mathematicians. Notices provides opportunities for mathematicians and students of mathematics to find out what is going on in the field. Each issue contains one or two such expository articles that describe current developments in mathematical research, written by professional mathematicians. The Notices also […]

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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 […]

Mathematics creates computer games

October24

Missy is 6 years old and loves building things. MineCraft is based on blocks that link to make new spaces and gives her that stimulating, creative outlet. She is also enjoying and doing well in her Math. Mathematics is widely used for modelling real life situations via simulation or strategy games. These types of games […]

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Mathematics of Conflict

August31

In a recent issue of Nature was a paper by Juan Camilo Bohorquez, Sean Gourley, Alexander R. Dixon, Michael Spagat and Neil F. Johnson, which argued that all insurgencies–wars in which guerrilla-type units are fighting a standing military–share a single, predictable pattern in their violent attacks. In other words, according to their model, the decisions […]

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The Mathematics of Scale

April30

Hey – do you enjoy making model cars, boats, planes, dolls houses, or even F1 racing cars? Modelling is great fun and most model kits come with a scale on the front of the box, such as 1:50 or 1:100. I recently saw a modelling kit of the Starship Enterprise, which had a scale or […]

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Has Mathematics helped find Malaysia Airlines Flight MH370?

March24

At the time of this post the search for debris (or anything) from Malaysian Flight MH370 is warming up, with new reports of objects floating in the southern Indian Ocean, far off the west coast of Australia. One difficulty with such searches is that, so long after the disappearance of the airliner, that objects in […]

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Calculus and 3 types of Math Models

August22

  Why do we learn Mathematics? Why is Calculus important? How does Mathematics help in designing spacecraft? What are some practical applications of the kind of mathematics I might do when I get to college? Click on this short video for some ideas!

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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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