Hint  'M' Answer 
Most known for developing the π approximation π/4 = 4 arctan 1/5  arctan 1/239; similar formulae are denoted _____like formulae named after him.  
Two events which cannot occur simultaneously are said to be this.  
A corollary of Rolle's Theorem, this states that there exists a c in [a,b] such that f'(c) = (f(b)f(a))/(ba) for a function f(x) continuous on [a,b] and differentiable on (a,b).  
Also known as the Law of Detachment, this argument states that ((P → Q) ∧ P ) → Q.  
The process of making something as large as possible. If the object is a function, calculus will come in handy.  
A measure of how large an object is; the _____ of a complex number a+bi is represented by sqrt(a^2 + b^2).  
Indian mathematician (c. 1350  c. 1425) known for discovering power series approximations for trigonometric functions.  
This constant is the primenumber analogue of the EulerMascheroni constant.  
A probability puzzle in mathematics concerning goats, cars, and the reason why you should always switch doors when asked. It is based on the game show Let's Make a Deal.  
An n x n array of numbers, typically the integers from 1 to n^2, such that every row, column, and main diagonals has the same sum.  
Mathematician who developed the notion of a fractal, a selfsimilar, infinitely intricate shape.  
French mathematician most known for his prime numbers, those which can be expressed as 2^p  1 for prime numbers p. e.g. 3, 7, 31, 127, 2147483647.  
Roughly speaking, a polynomial with only one term.  
The number of times a member of a multiset appears in that multiset. This notion appears most commonly when dealing with polynomial roots.  
 Hint  'M' Answer 
An equation which serves to represent realworld behavior. These are commonly used in analysis of business or the economy in general.  
He introduced μ(n), a function with average order of zero, a statement equivalent to the prime number theorem. However, he is perhaps more famous for his onesided strip.  
A rational number expressed with its whole and fractional part separately, e.g. 4 2/3.  
The global _____ of the parabola y = x^2  4x + 2 occurs at its vertex.  
Given a partition of an interval on the real line, the _____ of the partition is the longest subinterval. It is referred to as the 'norm' in some countries.  
The formal definition of the 'size' of a set in ndimensional Euclidean space. Intuitively, the Lebesgue _____ of the interval [0,1] is 1.  
The most frequent element in a given sample.  
A point on a line segment dividing each part into half of the whole.  
The geometric _____ of a sample of n numbers is found by taking the nth root of their product. Also, the 'M' in the inequality 'RMS ≥ AM ≥ GM ≥ HM.'  
A topological space that has a neighborhood that is homeomorphic to a euclidean space at every point.  
This mathematical operation represents iterated addition.  
In various branches of mathematics, this term is used equivalently to 'function.' One may also say that, e.g., a function f : R ↦ C ___s the real numbers to the complex numbers.  
A probabilistic primality test similar to the Fermat primality test. The deterministic version relies on the truth of the Riemann Hypothesis.  
This set of seven problems were given a bounty of $1,000,000 in 2000 by the Clay Mathematics Institute. Only one, the Poincaré conjecture, has been correctly proven.  
 Hint  'M' Answer 
This theorem relating the way two cevians of a triangle divide each other and two of the triangle's sides. It is commonly expressed as AF/FB * BD/DC * CE/EA = 1.  
1,000,000.  
A _____ is a function defining the distance between elements of a set making it a _____ space. For example, the standard _____ for Euclidean space is absolute difference/  
In the measurement of angles, this is one sixtieth of a degree.  
Branch of calculus involving the Gradient, Divergence, Stokes', and Green's theorems.  
In a triangle, a line segment formed by a vertex and the midpoint of the opposite side. Also, the middle element of a sample.  
A special case of the Taylor series, this type of power series is always centered about 0.  
A numerical computing environment and programming language developed by MathWorks.  
A mathematical system that undergoes changes from one state to another on a state space. These have been used to calculate the most commonly landed on Monopoly properties.  
A complex analytic function with large connections with number theory. It was famously used to prove the TaniyamaShimura conjecture and, thus, Fermat's Last Theorem.  
A rectangular array of elements in rows and columns. They can be added, subtracted, and multiplied together if their size is right  it won't help you dodge any bullets though!  
Also known as 'clock arithmetic,' this system is concerned with the remainder of integers when divided by a certain positive integer n.  

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