Way off on a Tangent
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A Fortnightly Electronic
Newsletter from the Hope
College Department of Mathematics
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The
Pennings family expands
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Recently
joining the household of Prof. Tim Pennings and dog Elvis is a bear cub
named Boo Boo. The young cub is shown to the left getting a good
taste of Prof. Swanson’s daughter Emma. When asked how Boo Boo
was adjusting to life in his new home, Prof. Pennings said, “I’m just
glad Boo Boo doesn’t have teeth yet. Hopefully he can be taught
not to eat and chew on everything (living or not) in sight.”
Just as Elvis comes to campus each
day, Prof. Pennings hopes to have Boo Boo join him soon. “Other
professors will probably have to keep food out of their offices or lock
their doors at all times. But I don’t think they will have any
problem with that.” Pennings commented.
Everyone can look forward to
welcoming Boo Boo in our hallways soon, but remember to keep your
distance and make sure you don't have any food in your backpack.
Prof.
Cinzori proves that 1 = 2
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Prof. Cinzori and a team of student
researchers recently made a startling
discovery that could have far
reaching consequences. It could revolutionize the dollar menu at
many fast food restaurants, how many wives or husbands a person is
allowed to have, and in almost everything in our daily lives. He
and his team has shown that 1 is the same
as 2. His proof is as follows. You start out with the fact
that -1/1 = 1/-1.
- Taking the square root of
both sides you get
.
- Simplifying this we have
.
- This then means that i/1 = 1/i.
- Multiplying both sides by a half we get i /
2 = 1
/ (2i).
- Adding 3/(2i)
to each
side we have i/2 + 3/(2i) = 1/(2i) + 3/(2i).
- Multiplying both sides by i gives us i(i/2
+ 3/(2i) ) = i(1/(2i)
+ 3/(2i)).
- Distributing the i
we
get
.
- We simplify to
get: (-1)/2 + 3/2 = 1/2 + 3/2.
- Final simplification leads to our result: 1 = 2.
This
summer, Cinzori and his team will work to try to show that 2 is the
same as 3. Proving this, will help with the justification of
changing 2-credit classes into 3-credits.
Math in
the News: Sleep
Number Bed introduces bed with a Pi setting
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The Sleep Number Bed Company recently
developed a circular bed. After its development, they found that
the integer sleep numbers just didn’t feel right for anyone.
About ready to scrap the idea, engineer Betty Bie came up with an
idea. “Instead of using integers, it would make sense to use
multiples of pi,” stated Bie. “When we made this switch, everyone
loved the feel of the new bed. It really gives you a
transcendental sleep experience."
Bie also mentioned that they have a
new bed that uses logarithmic sleep numbers. While she wouldn’t
tell us the shape of the new bed she did say when she uses it, she
sleeps like a log.
More
Math in
the News: Wake up to a bowl of mathematics!
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To help people become
more mathematically literate, cereal companies have started to include
mathematical names in their products. For example Honey Nut
Cheerios are now called Honey Nut Tori. The name of these
donut-shaped pieces of cereal are known mathematically as a
torus. (The plural form is tori.)
Other cereals have followed suit and now the store shelves contain
Crispy Hexagons, Golden Rectangles, Chocolate Peanut Butter Spheres,
Cinnamon Toast Quadrilaterals, and Ellipsoid Crunch.
The
Problem of the Fortnight
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Prove
that every even integer greater than 2 can be written as a sum of two
primes.
Write
your solution (not just the answer!) on the back of a hundred dollar
bill and drop
it off at Dr.
Pearson's office (VWF 212) by noon
on Wednesday, April 1.
As always, be sure
to write your name, the name(s) of your
professor(s), and your math class(es) on your solution (e.g. Yu R.
Smart, Professor Goldbach).
Good luck, and have
fun!
Problem
Solvers of the Fortnight
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The solution to the last problem of the
fortnight was is shown to the left. Congratulations
to the following problem solvers of the fortnight, who determined the
correct solution: Harriet Knight,
Carmine Dioxide, Rush Inuit, Turner Luce, Viola Fuss, Kurt Reply, Luke
Warm, Hugo First, Horatio Algebra, Art Majors, Billy Aiken, Eileen
Tudor-Wright, Hope Anna Prayer, Drew A. Blank, Major Error, Erasmus B.
Dragon, Perry Winkle, Les Ismore, Borden Drousy, Jay Walker, Ivana
Veekoff, Bud Inski, Ivan Inkling, Bjorn Liar, Les Digits, and Rick Shaw.
Doesn't
he mean differentiate?
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It is better
to keep your mouth closed and let people think you are a
fool than to open it and remove all doubt.
~Mark Twain