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https://blog.csdn.net/COCO56/article/details/85218517Innovative thinking and mathematics
First, multiple choice (title: 50, a total of 50.0 points)
- Any sequence of period n on the order linear constant coefficient Z2 recurrence relations are produced d, what conditions should be satisfied so d? (1.0 min)
• A, the Ad-the I = 0
• B, the Ad-the I =. 1
C •, the I-Ad = 2
• D, the I-Ad = 3
the correct answer: C my answer: C - If a, b∈Z, not all 0, then their greatest common factor there () a. (1.0 points)
• A, 3
• B, 5
• C, 4
• D, 2
correct answer: D My answer: D - Sidelobe value of the pseudo random sequence are close (). (1.0 min)
• A,. 1
• B, -1
• C, 2
• D, 0
correct answer: B I Answer: B - From p (x) in F [x] of | f (x) g (x ) can be introduced (). (1.0 min)
• A, P (X) | G (X)
• B, P (X) | F (X)
• C, G (X) F (X) | P (X)
• D, P (X ) | f (x) or p (x) | g (x )
the correct answer: D my answer: C - The matrix has zero Ω (). (1.0 min)
• A, at most there are 2n
• B, up to a 3n-1
• C, at least the 3n
• D, at most 2n-1 th
correct answer: D I answer: D - If α cycle from the side lobes of the correlation function values are equal to 0, then this sequence is called what? (1.0 points)
• A, 0 sequence
• B, perfect sequence
• C, disorderly sequence
• D, the proposed sequence perfectly
correct answer : B my answer: B - Several root x ^ 5-1 (1.0 points) in the complex domain
• A, 2.0
• B, 2.0
• C, 4.0
• D, 5.0
correct answer: D I answer: D - (x ^ 2 + 1) ^ 2 is the number of times (1.0 minutes)
• A, 1.0
• B, 2.0
• C, 3.0
• D, 4.0
correct answer: D I answer: D - Now the communications are basically the kind of communication (1.0 points)?
• A, image communication
• B, lightwave communications
• C, digital communications
• D, nuclear communications
correct answer: C My answer: C - Division with remainder of f (x) = g (x ) h (x) + r (x), degr (x) and degg (x) of the magnitude relation is? (1.0 min)
• A, DEGR (X) < degg (the X-)
• B, DEGR (the X-) = degg (the X-)
• C, DEGR (the X-)> degg (the X-)
• D, can not determine the
correct answer: a my answer: a - The real domain is irreducible polynomial (1.0 min)
• A, X ^ + 2-2x. 1
• B, X ^ 2 + 2x +. 1
• C, X ^ 2-1
• D, X +. 1
correct answer: D my answer: D - F [X], n is a polynomial of degree (n> 0) with a few roots in F? (1.0 min)
• A, up to n
• B, at least n
• C, and only the n
• D, up to the n-1
correct answer: a my answer: a - 1010101 key sequence can be expressed as a decimal (1.0 points)
• A, 83.0
• B, 84.0
• C, 85.0
• D, 86.0
correct answer: C My answer: C - If A is the generator matrix, the f (A) = (1.0 min)
• A, -1.0
• B, 0.0
• C, 1.0
• D, 2.0
correct answer: B I Answer: B - Polynomial 3x ^ 4 + 4x ^ 3 + x ^ 2 + constant term is 3 (1.0 min)
• A, 1.0
• B, 2.0
• C, 3.0
• D, 4.0
correct answer: C my answer: C - The residue classes modulo m Z having properties not included (1.0 min)
• A, associativity
• B, distributive law
• C, closed law
• D, zero-membered
correct answer: C my answer: C - If A is the generator matrix, the f (A) = (). (1.0 min)
• A, 2
• B, 0
• C, -1
• D,. 1
correct answer: B I Answer: B - The difference D is set three different parameters v, k, satisfying the relation between λ is (). (1.0 min)
• A, lambda V = K2
• B, [lambda] (V-. 1) = K (K +. 1)
• C, [lambda] (V +. 1) = K (K +. 1)
• D, [lambda] (V-. 1 ) = k (k-3)
correct answer: a my answer: a - The first time there is a quadratic equation root formula is when (1.0 points)
• A, 1680 BC
• B, 1690 BC
• C, 1700 BC
• D, 1710 BC
correct answer: C my answer: C - For the ring R () may constitute one group. (1.0 points)
• A, division
• B, multiplication
• C, subtraction
• D, the addition
correct answer: D My answer: D - Set f (x), g (x ) ∈F [x], then what is established? (1.0 points)
• A, deg (f (the X-) G (the X-)) = deg (f (the X-) + G (the X- ))
• B, deg (F (X) G (X)) <deg (F (X) + G (X))
• C, deg (F (X) G (X)) = degF (X) + degg (the X-)
• D, deg (f (the X-) + G (the X-))> degF (the X-) + degg (the X-))
the correct answer: C my answer: C - Number is greater than 0 in a polynomial () must have root. (1.0 points)
• A, complex domain
• B, Rational Numbers
• C, the real domain
• D, there is no
correct answer: A My answer: A - p and any number a there (p, a) = 1 or p | relationship a, then p is (1.0 points)
• A, integer
• B, Real
• C, plural
• D, prime
the correct answer: D My answer : D - Ring R S isomorphic ring, if the ring R S is an integer (1.0 min)
• A, may be whole rings
• B, can not be an integer ring
• C, must be an integer ring
• D, the entire ring is not necessarily
correct answer: C my answer: C - Mapping f: A → B, A, if any two elements x1 ≠ x2 has different f (x1) ≠ f (x2 ), then f is (1.0 min)
• A, single shot
• B, surjective
• C, bis shot
• D, reflecting
the correct answer: a my answer: a - Euler Euler multiplication identity is presented and proved at what time (1.0 minutes)?
• A, 1700 Nian
• B, 1727 Nian
• C, 1737 Nian
• D, 1773 Nian
correct answer: C My answer: C - Characterized in domain 2 (1.0 min)
• A, the Z
• B, Z2 of
• C, Z3
• D, Z5
correct answer: B I Answer: B - Equation x ^ 4 + 1 = 0 with a () on the complex domain root. (1.0 points)
• A, 3
• B, 1
• C, 2
• D, 4
correct answer: D My answer: D - φ (10) = () ( 1.0 min)
• A, 2
• B,. 4
• C,. 3
• D,. 1
correct answer: B I Answer: B - In Z7, mold x = {1,2,3,4,5,6}, then x ^ 2 = (1.0 min)
• A, {}. 1
• B, {1,2}
• C, {. 1, } 2, 4
• D, {0,1,3,5}
the correct answer: C my answer: C - x ^ 3-6x ^ 2 + rational root 15x-14 = 0 is (1.0 min)
• A, -1.0
• B, 0.0
• C, 1.0
• D, 2.0
correct answer: D I answer: D - Z6 is reversible yuan (). (1.0 points)
• A, 1
• B, 3
• C, 2
• D, 0
correct answer: A My answer: A - The date of the collection collection of seven beg Monday to Sunday and set to go to (). (1.0 points)
• A, natural numbers
• B, integers
• C, decimals set
• D, irrational number set
the correct answer: B I answer: B - There are several possible not only about the relationship (1.0 points) between a polynomial and any polynomial
• A, 1.0
• B, 2.0
• C, 3.0
• D, 4.0
correct answer: B I Answer: B - The Z2 period quasi perfect in sequence a = 01011100010 ... a212 = (1.0 min) to 11
• A, -1.0
• B, 0.0
• C, 1.0
• D, 2.0
correct answer: C my answer: C - The inventors of the Cartesian coordinate system is (). (1.0 points)
• A, Newton
• B, Galois
• C, Descartes
• D, Cauchy
correct answer: C My answer: C - Generation matrix is invertible matrix, when the matrix Ω 2n which are non-zero matrix, then there is one pair of I, j satisfy equation holds what? (1.0 min)
• A, Ai = Aj
• B, Ai = Aj +. 1
• C, Ai + Aj = -1
• D, AiAj = 1
correct answer: a my answer: a - Zm * is a cyclic group, then m should be what conditions? (1.0 points)
• A, m = 2, 4, PR, 2Pr
• B, m must be prime
• C, m must be even
• D, m must be odd primes
correct answer: a my answer: a - Let p be a prime number, and p≡-1 (mod4), Zp of the square of all non-zero element is composed of a set of the additive group D (). (1.0 points)
• A, intersection
• B, and set
• C, difference sets
• D, complement
correct answer: C My answer: C - For the function φ (z) = 1 / f (z), domain is C, when | Z | tends to when something limφ (z) = 0 (1.0 min)?
• A, 1.0
• B, 0.0
• C, ∞ +
• D, can not determine the
correct answer: C my answer: C - The Riemann zate function to expand s> 1 person is (). (1.0 points)
• A, Euler
• B, Chebyshev
• C, Descartes
• D, Riemann
correct answer: B I answer: B - Provided g (x), f (x ) ∈F [x], the presence of d (x) ∈F [x] , with a d (x) | f (x ) and d (x) | g (x ), then said is f (x) What is d (x), g (x ) in (1.0 min)?
• a, common factor
• B, the Greatest common Factor
• C, the smallest common divisor
• D, a common function
correctly answer: a my answer: a - Z9 * is in the order of 4 (1.0 points)
• A, 1.0
• B, 2.0
• C, 3.0
• D, 4.0
correct answer: C My answer: C - The relationship between the elements and the set is (1.0 points)
• A, binary relations
• B, equivalence relation
• C, it contains relations
• D, belong to the relationship between
the correct answer: D My answer: D - The Riemann zate function to expand s> 1 person is (1.0 points)
• A, Euler
• B, Riemann
• C, Descartes
• D, Chebyshev
correct answer: D My answer: D - The function f (x) is defined in the vicinity of x0 (x0 can in no sense) if a constant C such that when x x0 approaching but not equal to x0 when | f (x) -C | can be arbitrarily small, is called C when x approaches what f (x) in x0 time (1.0 minutes)?
• a, differential value
• B, maximum
• C, limit
• D, the minimum value of
the correct answer: C my answer: C - The first to recognize five general equation solving unavailable radical people are (1.0 points)
• A, Lu Buni
• B, Abel
• C, Lagrange
• D, Galois
correct answer: C I the answer: C - In the field F consisting of monohydric set of polynomials satisfies the addition and multiplication can verify what is it? (1.0 min)
• A, Class exchange
• B, the equivalent loop
• C, equivalent domain
• D, commutative ring
correct answer : D my answer: D - Let R and S is an equivalence relation on the set A, the R∪S symmetry (1.0 min)
• A, must satisfy
• B, must not satisfied
• C, do not necessarily meet
• D, can not satisfy the
correct answer: a my answer: a gac (234,567) = (1.0 points)
• A, 3.0
• B, 6.0
• C, 9.0
• D, 12.0
correct answer: C My answer: CSecond, determine the title (title number: 50, a total of 50.0 minutes)
- Φ (z) in the disk | Z | is a continuous function bounded on ≤r open set. (1.0 points)
The correct answer: × My answer: × - For all P, p is an odd number, then Zp is a field. () (1.0 points)
The correct answer: × My answer: × - Dissatisfied matrix multiplication is associative nor commutative. (1.0 points)
The correct answer: × My answer: × - RSA public-key cryptosystem is the decomposition of large numbers. (1.0 points)
The correct answer: √ My answer: √ - Each element is reversible element Zm or zero factor. (1.0 points)
The correct answer: √ My answer: √ - In group G, for all m, n is a positive integer, the aman = amn (1.0 min).
The correct answer: × I answer: × - Domain has the smallest number of finite elements. (1.0 points)
The correct answer: × My answer: × - Z9 * is a cyclic group. (1.0 points)
The correct answer: √ My answer: √ - Complex function in the mold closed bounded sets no maximum. (1.0 points)
The correct answer: × My answer: × - Feedback shift register configured to sequence a large linear period is due to the complex computer-linear recursion relations, it is very difficult to achieve. (1.0 points)
The correct answer: × My answer: × - D = {1,2,4} is a (7,3,1) Z7 of the additive group - difference set. (1.0 points)
The correct answer: × My answer: × - For all P, p is an odd number, then Zp is a field. (1.0 points)
The correct answer: × My answer: × - Z91 34 in equivalence class is zero factors. (1.0 points)
The correct answer: × My answer: × - p is a prime number, the field must be Zp. (1.0 points)
The correct answer: √ My answer: √ - If p is Z (s) is a nontrivial zero, 1-p is the Z (s) is a nontrivial zero. () (1.0 points)
The correct answer: √ My answer: √ - If two equivalence classes are not equal then their intersection is the empty set. (1.0 points)
The correct answer: √ My answer: √ - Mold is D = {1,2,4} Z7 a (7,3,1) - Set difference. () (1.0 points)
The correct answer: √ My answer: √ - If a number is divisible by 6 plus 5 can, minus 5 can divisible by 7, the minimum number is 20. (1.0 points)
The correct answer: × My answer: × - F [x], if f (x) g (x) = p (x), then any matrix a∈F, there is f (A) g (A) = p (A). (1.0 points)
The correct answer: √ My answer: √ - Kpol and K [x] is homogeneous. () (1.0 points)
The correct answer: √ My answer: √ - φ (24) = φ (4 ) φ (6) () (1.0 min)
the correct answer: × I answer: × - Computing the greatest common divisor of two numbers of the most effective methods is to division with remainder. () (1.0 points)
The correct answer: × My answer: × - C in the complex domain, x ^ 2 + 1 is an irreducible polynomial. (1.0 points)
The correct answer: × My answer: × - Z (s) has zeros on the Re (s). (1.0 points)
The correct answer: × My answer: × - "Han Xin Troops" is the solution of congruence elementary number theory. (1.0 points)
The correct answer: √ My answer: √ - Membered ring is not a unit, which is not possible with unit subring. () (1.0 points)
The correct answer: × My answer: × - ξ (s) has zeros on the Re (p) = 1. (1.0 points)
The correct answer: × My answer: × - Let R and S is an equivalence relation on the set A, then it must be R∪S equivalence relation. (1.0 points)
The correct answer: × My answer: × - A∩Φ = A () (1.0 points)
The correct answer: × My answer: × - Lobachevsky geometry is a non-Euclidean geometry. (1.0 points)
The correct answer: √ My answer: √ - A primitive polynomial number is greater than 0, g (x) can be approximately on Q, then g (x) may be decomposed into a product of lower frequency than g (x) is a primitive polynomial of two times. (1.0 points)
The correct answer: √ My answer: √ - Nonzero polynomial g (x), f (x ) must exist Greatest Common Factor. () (1.0 points)
The correct answer: √ My answer: √ - 1 is f (x) and Sufficient Conditions in the root domain F [x] is x-1 | f (x) . () (1.0 points)
The correct answer: √ My answer: √ - Congruence theory is the core elementary mathematics. (1.0 points)
The correct answer: √ My answer: √ - The prime number theorem must prove complex analysis. (1.0 points)
The correct answer: √ My answer: √ - Euler made but no evidence Ming Oula product identity. (1.0 points)
The correct answer: × My answer: × - Φ (z) in the complex plane parsing C. (1.0 points)
The correct answer: √ My answer: √ - If f (x) | x ^ d -1, d is the period of any of the sequences of n-th order recursion relation generated. (1.0 points)
The correct answer: √ My answer: √ - Solutions of the above five equations and algebraic equations can be used in the fifth root formula obtained. () (1.0 points)
The correct answer: × My answer: × - φ (m) = φ (m1 ) φ (m2) established must meet (m1, m2) = 1 ( 1.0 points).
The correct answer: √ My answer: √ - RSA public-key cryptosystem has two keys, namely a public key and a private key. () (1.0 points)
The correct answer: √ My answer: √ - a = 1001011 ... Z2 is a period of 7 quasi perfect sequence. () (1.0 points)
The correct answer: √ My answer: √ - Is a prime number theorem when x approaches ∞, π (x) with x / ln x to infinity of the same order. (1.0 points)
The correct answer: √ My answer: √ - In the number field F number ≥1 polynomial f (x) unique factorization. (1.0 points)
The correct answer: √ My answer: √ - Analogy mathematics can be φ (z) in the disk | ≤r this maximum value is not bounded closed set, there is no minimum value | z. (1.0 points)
The correct answer: × My answer: × - Lagrange proved four times higher than the general equation solving unavailable radicals. () (1.0 points)
The correct answer: × My answer: × - F [x], if (f (x), g ( x)) = 1, called f (x) and g (x) relatively prime. () (1.0 points)
The correct answer: √ My answer: √ - f (x) = xn + 5 on Q is a reducible. () (1.0 points)
The correct answer: × My answer: × - Given any k a positive integer less than ((22) 2) 2) 2) 2) 2) 100k having a length of a prime number in the arithmetic sequence of k (1.0 min)?
Correct answer: √ I answer: √ Univariate polynomial representation is unique. () (1.0 points)
The correct answer: √ My answer: √