We Provin'
Random Math Time
LA facts
CTY fun facts
200
This method of proof starts with the premises, and then shows using inference rules that the truth of the premises guarantees the truth of the conclusion.
What is a deductive proof (proof using natural deductions, direct proof, etc) ?
200
Find this limit:
lim_{x->0} sin x/x
What is 1?
200
This private, Jesuit, research university is located on the west side of Los Angeles near Playa Vista.
What is Loyola Marymount University?
200
This CTY student's fun fact is:
Enjoys playing sports and hanging out with his friends
Who is Toji?
400
This method of proof starts by assuming the opposite of the intended conclusion, and then showing that that assumption cannot possibly happen.
What is a proof by contradiction?
400
The mathematical name for this shape in topology.
What is a torus?
400
This western European country, whose name starts with "B", has a smaller population than the Los Angeles metropolitan area.
What is Belgium?
400
This CTY student's fun fact is:
they are writing a fun fact!
Who is Andy?
600
This method of proof starts with a base case, hypothesis, and a key step to get from the nth case to the (n+1)th case.
What is induction (or a proof by induction)?
600
What is $200?
600
This second busiest airport in the LA region serves as a gateway to many of the region's popular tourist attractions, including Disneyland Resort.
What is John Wayne Airport (SNA) ?
600
This CTY student's fun fact is:
can solve a Rubik’s cube
Who is Scott?
800
When trying to prove a statement like P ⟹ Q, this method of proof starts by assuming ~Q, and then showing that this necessarily leads to ~P.
What is a proof by contrapositive?
800
The number of degrees for an interior angle of a regular heptadecagon (rounded to the nearest integer)
What is
((17-2)*180)/17 = 158.8 approx 159
800
The current mayor of Los Angeles.
Who is Karen Bass?
800
This CTY student's fun fact is:
they are nocturnal
Who is Bao Nhi?
1000
These three Latin words (often abbreviated as QED) are written at the end of a proof to signify that the conclusion has been successfully reached.
What is quod erat demonstrandum?
1000
Find the following sum:
sum_{n=0}^\infty (4(-1)^n)/(2n+1)
What is
pi
1000
The decade in which the city of Los Angeles was founded
What are the 1780s? (September 4, 1781, under Spanish governor Felipe de Neve)
1000
This CTY student's fun fact is:
at 4:58am when he was three he snored for the first time in his life (probably)
Who is Taisei?