GENERAL MATH
IT HAS FOUR EQUAL SIDES AND FOUR EQUAL ANGLES
What is a square?
WHEN x + 20 = 30, x IS THIS
What is 10?
POSITIVE
What is negative?
PYTHAGORAS IS FAMOUSLY RELATED TO THIS THEOREM, WHICH HELPS COMPUTE THE SIDES OF RIGHT TRIANGLES
What is the Pythagorean Theorem?
e ≈ 2.71828
What is Euler's number?
IT IS THE ONLY EVEN PRIME NUMBER
What is 2?
4 + 3 * 2 - 1 IS THIS
What is 9?
MULTIPLICATION
What is division?
IN THE 1660'S, NEWTON AND LEIBNIZ WOULD DISCOVER THIS BRANCH OF MATHEMATICS, WHICH INTRODUCED DERIVATIVES AND INTEGRALS
What is calculus?
eix = cos(x) + isin(x)
What is Euler's formula?
THE THREE MOST BASIC CONCEPTS IN GEOMETRY ARE THE POINT, THE LINE, AND THIS
What is the plane?
THE DERIVATIVE OF 20x2 + 3 IS THIS
What is 40x?
DIFFERENTIATION
What is integration?
IN 3RD CENTURY B.C., ARCHIMEDES FOUND THE BOUNDS FOR THIS NUMBER, WHICH IS ALSO A DELICIOUS TREAT
What is pi?
eiπ = -1
What is Euler's identity?
WHEN EVALUATING A DEFINITE INTEGRAL, WE CAN INTERPRET IT AS FINDING THE AREA UNDER THIS
What is a curve?
THE INTEGRAL OF ex + 1 IS THIS
What is ex + x + C?
PRIME
What is composite?
DAILY DOUBLE!
VIETE AND BERNOULLI WERE ADVOCATES OF THE SQUARE ROOTS OF NEGATIVE NUMBERS, ALSO CALLED THESE
What are imaginary numbers?
γ ≈ 0.57721
What is Euler's constant?
ONE OF THE SOLUTIONS TO x2 - x - 1 = 0 IS THIS NUMBER, WHICH CAN FAMOUSLY BE FOUND IN NATURE AND OTHER FACETS OF LIFE
What is the golden ratio?
(3!)2 IS THIS
What is 36?
EXPONENTIATION
What is the (natural) logarithm?
INDIAN MATHEMATICIANS USED HALF-CHORDS TO OBTAIN JYA AND KOTI-JYA, BUT THEY WERE JUST MODERN EQUIVALENTS OF THESE TWO TRIGONOMETRIC FUNCTIONS
What are sine and cosine?
aφ(n) ≡ 1 (mod n)
What is Euler's theorem?