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Rogue research with Mathematics


Rogue waves (also known as freak waves, monster waves, killer waves, extreme waves, and abnormal waves) are relatively large and spontaneous surface waves that occur far out in open water, and are a threat even to large ships and ocean liners. (source: Wikipedia). Some of these waves can reach up to 10 storeys high. A recent article found on the abc network described research being done by a Physics team at the Australian Australian National University (ANU) in Canberra. “Rogue waves are more than two times the average height of the highest waves, they are unpredicted and unexpected,” research leader Nail Akhmediev said.

rogues1Professor Akhmediev’s physics team has been explaining what rogue waves are using mathematical terms. “Data from buoys and satellites around the world is already being collected and analysed,” he said. “Combined with observations of the surrounding ocean from the ship, this would give enough information to predict rogue waves.”

In future, scientists hope equipment could be developed for ships which could predict dangerous waves in the area.The wave research has been published in the prestigious journal, The Proceedings of the Royal Society. What a great, practical application of Mathematics, especially if you like swimming or boating!

rogues2rogues3Check out Professor Akhmediev’s details and research at ANU here.

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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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