8 Questions

Questions and Answers

- 1.Anosov automorphism is defined as a what?
- A.
Hyperbolic Linear Map

- B.
Integral

- C.
Derivative

- D.
Theory

- E.
Geometric Proof

- 2.A box classified in geometric terms is a what?
- A.
A polyhedron.

- B.
A shape.

- C.
A polyhedron whose faces are all rectangles.

- D.
A polyhedron with multiple sides.

- E.
A rectangular prism.

- 3.Elliptic sines are defined as what? Hint: It is represented as: S (
*a*, 0 ,*z*) = sin (√*a**z*)- A.
Elliptic cosine defined as an odd Mathieu function ser(z , q ) with characteristic value ar.

- B.
Elliptic sine defined as an even Mathieu function ser(z , q' ) with characteristic value ar.

- C.
Euclydian geometry.

- D.
Elliptic sine defined as an odd Mathieu function ser(z , q ) with characteristic value ar.

- E.
None of the above.

- 4.If a=b, b=c, c=d, d=?
- A.
D-(abc)

- B.
A

- C.
C+b

- D.
D-c

- E.
None of the above.

- 5.Calculus can be applied as polynomials.
- A.
True

- B.
False

- C.
Can't be determined with the information give.

- 6.If
*f(x)*= x^{2}, then...- A.
F'(x) = x/2x

- B.
X = f'

- C.
F'(x) = 2x

- D.
F'(x) =2x(f'(x))

- E.
X = x(x=1)

- 7.
- A.
Let X be a normed space, M and N be algebraically complemented subspaces of X i.e. M+N = X and M ∩ N = {0}, Φ:X → X/M be the quotient map, Φ:MxN → X be the natural isomorphism (x,y)| → x+y, and P:X → M,P(x+y) = x,x ∈ M,y ∈ N

- B.
M ∩ N = {0}, Φ:X → X/M be the quotient map, Φ:MxN → X be the natural isomorphism (x,y)| → x+y, and P:X → M,P(x+y

- C.
X be the disk algebra, i.e., the space of all analytic functions on {z ∈ C:|z| < 1} which are continuous on the closure of D. Then the subspace of C(T) consisting of the restrictions of functions of X to T = {z ∈ C:|z| = 1} is not complemented in X.

- D.
(x,y)| → x+y, and P:X → M,P(x+y) = x,x ∈ M,y ∈ N be the projection of X on M along N.

- E.
None of the above?

- 8.The following is an example of what?
- A.
Binary Bracketing

- B.
Abel's Binomial Theorem

- C.
Pascal's Formula

- D.
Stanley's Identity

- E.
Bernoulle Triangle