Comments on Earlier Problems 76:60 Peter Weinberger Let jfj
... 2. prove that if k 4 then there are in nitely many primes whose digits sum to k. Remarks: Jean-Marie provided a table of values of (k), the smallest prime whose digits add up to k, for 2 k 83, k not a multiple of 3. Your editor notes that (56) , (55) = 2999999 , 2998999 = 1000 and asks whet ...
... 2. prove that if k 4 then there are in nitely many primes whose digits sum to k. Remarks: Jean-Marie provided a table of values of (k), the smallest prime whose digits add up to k, for 2 k 83, k not a multiple of 3. Your editor notes that (56) , (55) = 2999999 , 2998999 = 1000 and asks whet ...
File - PROJECT MATHS REVISION
... let the real parts equal to each other and separately, let the imaginary parts equal to each other, therefore creating two equations. Example 1 If a bi c di Then we can say that a c and b d Please note, that when equating complex numbers, we never use the i part of the questions; we just u ...
... let the real parts equal to each other and separately, let the imaginary parts equal to each other, therefore creating two equations. Example 1 If a bi c di Then we can say that a c and b d Please note, that when equating complex numbers, we never use the i part of the questions; we just u ...
Problem Set 1
... The hypotheses are: 1. (G, ·, e), (H, ·, e) and (I, ·, e) are groups. Notice that this is implicit in the statement of the theorem, and not explicit; only G, H, and I are given as symbols. But in order for f and g to be group homomorphisms, G, H, and I have to have group structures. We use the conv ...
... The hypotheses are: 1. (G, ·, e), (H, ·, e) and (I, ·, e) are groups. Notice that this is implicit in the statement of the theorem, and not explicit; only G, H, and I are given as symbols. But in order for f and g to be group homomorphisms, G, H, and I have to have group structures. We use the conv ...
B. Addition, Subtraction, Multiplication and Division of Polynomials
... Example 1 By using the synthetic division, find the quotients and remainders of the following: (a) x 4 3x 2 5 x 4 x 2 ; (b) x 3 x 2 3x 1 x 3 ; (c) 2 x 4 3x 3 4 x 2 8x 2 x 3 . ...
... Example 1 By using the synthetic division, find the quotients and remainders of the following: (a) x 4 3x 2 5 x 4 x 2 ; (b) x 3 x 2 3x 1 x 3 ; (c) 2 x 4 3x 3 4 x 2 8x 2 x 3 . ...
