Math Teacher Speaking English, Python, Mathematics Daily brain teasers & puzzles. ✏️📚 #MathOlympiad #Geometry #Math
Where Numbers Meet Words
Joined December 2023
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If power towers are evaluated starting from the top, why are infinite power towers notated with the dots going up instead of dots going down?
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Some of the best introductory texts I followed in my postgrad which helped me grasp the subjects and top exams
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about the new math results being “ugly” , humans have been dabbling in those types of math for a long time
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Yale’s free lecture notes on the Theory of Distributed Systems by James Aspnes.
Excellent resource covering the mathematical foundations of distributed computing.
PDF: cs.yale.edu/homes/aspnes/cla…
Limit of sin(x)/x as x → 0 is 1.
Proof via Taylor series:
sin x = x − x³/3! + x⁵/5! − …
(sin x)/x = 1 − x²/3! + x⁴/5! − …
→ limit = 1
(Giant pencil for scale 😂)
THE FIBONACCI SEQUENCE
In Liber Abaci (1202), Fibonacci asked:
A pair of rabbits produces a new pair every month from month 2. None die. How many pairs after a year?
Rule:
new adults = prev adults + prev young
new young = prev adults
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…
Circles r=3 & r=6 are ext. tangent to each other & int. tangent to circle r=9. The r=9 circle has a chord that is common ext. tangent to the two smaller circles. Find square of chord length.
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How far is the matchbox from the 4th corner?
Rectangular room. Matchbox is 6 ft from one corner, 27 ft from opposite corner, and 21 ft from a 3rd corner.
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The area of the circle?
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what's the area of the red triangle?
the top edges of the two squares are collinear. the left
edge of the red triangle is on a line that makes a 45° angle.
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What fraction of the rectangle is colored? Assume that M and N are midpoints of the sides of the rectangle.
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Green area / Red area = ?
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by al_gebra_1452
Find read area - triangle AEF is equilateral
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