Idempotent Potables
In an inner product space V, this type of linear map satisfies ⟨Px ,y⟩ = ⟨x Py⟩ for all x y ∈ V.
What is an orthogonal projection?
This is a simplification for the value i2021, where i is the complex number such that i2 = -1
What is i?
Found naturally in pinecones and sunflowers, the spiral arrangement of structures and seeds follow this geometric sequence.
The Fibonacci Sequence
In what subject would you learn about Heron’s Formula?
What is geometry?
The number of NCAA national championships has Carolina won.
What is 43?
This is its set of discontinuities of the floor function (greatest smaller integer, "round down") on the real line, relative to the standard topology.
What is the set of integers?
This is the value of 39×41.
What is 1,599?
Due to their unique molecular structure of ice crystals, snowflakes always form this type of prism.
What is an hexagonal prism?
In which field might one need to use Abhyankar’s Lemma?
What is algebraic geometry?
This Super Bowl was played in 2018.
What is Super Bowl LII? (I.e., Super Bowl 52.)
If s is an element other than 0 or 1 of a ring R such that s2 = s, then R is not an integral domain because s is this type of element.
What is a zero divisor?
If φ denotes the golden ratio φ = (1+√5)/2, then this is the value φ - 1/φ.
What is 1?
Located in St. Louis, Missouri, the famous Gateway Arch is an example of this type of geometric curve.
What is a catenary?
In what field might you learn about the Cook-Levin Theorem?
What is theoretical computer science?
This former NFL guard for the Baltimore Ravens is now studying for his Ph.D. at MIT.
Who is John Urschel?
If S is a subset of a metric space X, then this set is the union of S with its limit points in X.
What is the closure of S?
This is the lowest-terms expression for the continued fraction [1; 1, 1, 1] = [1; 1, 2].
What is 5/3?
Often found in tile patterns and in the artwork of M.C. Escher, this concept refers to the repeated arrangement of interlocking figures and shapes.
Tessellations
In which subject might you use Peixoto’s theorem?
What is/are dynamical systems?
This is the most innings played at a professional baseball game.
What is 26? (May 1, 1920: Brooklyn Robins vs. Boston Braves)
If S is a subset of Rn, then the set { tx + (1-t)y : x, y ∈ Rn, t ∈ [0,1] } has this name.
What is the convex hull of S?
Although the harmonic series 1+½+⅓+¼+... is known to diverge, the alternating harmonic series 1-½+⅓-¼+⅕-... converges to this irrational number.
What is ln 2?
Due to surface tension and air resistance, raindrops form this geometric shape as they fall.
Oblate spheroid
In what subject might you encounter the intermediate value theorem?
What is calculus/real analysis?
This Danish mathematician competed in the 1908 Olympics. His older brother won a Nobel Prize in 1922 for his contributions to partial physics.
Who is Harald Bohr?