Math Skill Questions
Skills are something that people develop through a lot of practice and you can’t be a professional without the skills. The quiz below is designed to test your math skills and see if you are all that! Give it a try and see if you should polish up on some problems.
- 1.
Anosov automorphism is defined as a what?
- A.
Hyperbolic Linear Map
- B.
Integral
- C.
Derivative
- D.
Theory
- E.
Geometric Proof
Correct Answer
A. Hyperbolic Linear MapExplanation
Anosov automorphism is defined as a hyperbolic linear map Rn → Rn with integer entries in the transformation matrix and determinant ±1 is an Anosov diffeomorphism of the n-torus, called an Anosov automorphism (or hyperbolic automorphism). Here, the term automorphism is used in the group theory sense.Rate this question:
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- 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.
Correct Answer
C. A polyhedron whose faces are all rectangles. -
- 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.
Correct Answer
D. Elliptic sine defined as an odd Mathieu function ser(z , q ) with characteristic value ar. -
- 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.
Correct Answer
B. A -
- 5.
Calculus can be applied as polynomials.
- A.
True
- B.
False
- C.
Can't be determined with the information give.
Correct Answer
A. True -
- 6.
If f(x) = x2, then...
- A.
F'(x) = x/2x
- B.
X = f'
- C.
F'(x) = 2x
- D.
F'(x) =2x(f'(x))
- E.
X = x(x=1)
Correct Answer
C. F'(x) = 2xExplanation
The process of finding a derivative is called differentiation. The process which is reverse of differentiation is known as integration. The two processes are the central concepts of calculus and the relationship between them is the fundamental theorem of calculus.Rate this question:
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- 7.
Which is an example of a complemented subspace?
- 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?
Correct Answer
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 ∈ NExplanation
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 be the projection of X on M along N. Then the following statements are equivalent:
1. Φ is a homeomorphism.
2. M and N are closed in X and π |N is a homeomorphism.
3. M and N are closed and P:X → M is a bounded projection.
The subspaces M and N are called topologically complemented or simply complemented if each of the above equivalent statements holds.
Every finite dimensional subspace is complemented and every algebraic complement of a finite codimension subspace is topologically complemented. In a Banach space X, two closed subspace are algebraically complemented if and only if they are complemented.Rate this question:
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- 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
Correct Answer
C. Pascal's Formula -
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Aug 29, 2018Quiz Edited by
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Feb 04, 2009Quiz Created by
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