| Subject | Date Asked | Expert |
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| modular proof | 9/29/2008 | Vijilant |
Q: i am having a real difficulty in proving this statement by induction. == is congruent symbol d> or ...
A: This could be proved directly using the binomial theorem, but if you need a proof by induction here ...
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| Number theory Proof | 9/26/2008 | Vijilant |
Q: Let m and k be positive integers. Then the number of positive integers less than or equal to m*k ...
A: My most sincere apologies for my horrendous mistake. I've answered so many questions successfully ...
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| a counting and enumeration problem | 9/24/2008 | Vijilant |
Q: I have a question that maybe I could have answered when I was taking probability 19 years ago but am ...
A: This is an interesting problem I can help you with. Let us look at an example. How many selections ...
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| Number theory Proof | 9/24/2008 | Vijilant |
Q: Let m and k be positive integers. Then the number of positive integers less than or equal to m*k ...
A: This is not true as stated. A counter-example is m=6, k=4. phi(6) = 4 so that k*phi(m) = 4*4 = 16. ...
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| Odd and Even Multiples | 9/21/2008 | Vijilant |
Q: I must find out how many multiples of 3 there are from 1-2008, then state how many and odd and even. ...
A: This sounds like some Maths coursework where you have to put some graft in. Carefully list your ...
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| how to find the primes in just a few seconds | 9/19/2008 | Vijilant |
Q: i just want to ask how to find the 3 largest primes of 555,555,555,555.I know it's 37, 9901 and 101.
A: Your number certainly has the factor 555. It is 555*(10^9+10^6+10^3+1) = 5*3*37*(10^6+1)(10^3+1) ...
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| Number Theory | 9/18/2008 | Vijilant |
Q: I'm so confused, I have no idea how to solve these... can you answer them for me? It would be a ...
A: 1) You need to use the Euclidean algorithm property. (a,b) = (a, b-ka) or (a, ka-b). here we use a = ...
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| Number Theory | 9/17/2008 | Vijilant |
Q: I am new to this class and have never taken a proof class. I dont even know where to start on these. ...
A: I'm not going to do all of these for you. They can all be proved by using the unique prime ...
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| maths | 9/14/2008 | Vijilant |
Q: if A equals 1 and Z equals 26 what word when times adds up to 1 million
A: I can only help you with the maths of this question. After that it is up to try different ...
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| terms and sequence | 9/13/2008 | Vijilant |
Q: My daughter has a homework on terms and sequence with no real explanation of how or what they mean. ...
A: A sequence is simply an ordered set of numbers, usually without end. e.g. 1,3,5,7,9,..... ...
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| Explain" Every number can be written as difference of two squares" | 8/18/2008 | Vijilant |
Q: "Every number can be written as difference of two squares" For example 24=7^2-5^2, 32= ...
A: Welcome to my answer service. The difference of two squares is factorisable. x^2 - y^2 = (x+y)(x-y) ...
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| number theory | 8/17/2008 | Vijilant |
Q: 1.solve 6x+10y+15z=1 find x and y,z 2.if(a,4)=2,(b,4)=2,then prove that(a+b,4)=4; exibit three ...
A: 4y+3z =1 mod 6 multiply by 2 8y + 6z = 2 mod 6 8y = 2 mod 6 1. Suppose there are only a finite ...
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| number theory | 8/16/2008 | Vijilant |
Q: 1.solve 6x+10y+15z=1 find x and y,z 2.if(a,4)=2,(b,4)=2,then prove that(a+b,4)=4; exibit three ...
A: You are asking a lot of questions. I hope you are trying to solve them yourself before you ask me. ...
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| number theory | 8/15/2008 | Vijilant |
Q: 1.for every positive integer k show that (5^2)^k congruent to 1+3*2^(k+2) 2.let Fn=((2^2)^n)+1 Nth ...
A: 1. You asked this earlier and I said it was impossible to answer, as you haven't specified a ...
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| number theory | 8/15/2008 | Vijilant |
Q: 1.prove that product of k consiquetive intigers is divisable by k1! 2.for every positive integer k ...
A: 1. Let the largest of the integers be n. Then nCk, the number of ways to choose k objects from n is ...
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| number theory | 8/11/2008 | Vijilant |
Q: 1.find last two digits of 2^1000 2.(a,a+k)/k for a,knot equel to 0 3.(a,b)=1 and c>0 prove that an ...
A: 1. 2^10 = 1024 =24 mod 1000 2^20 = 24^2 = 576 = 76 = -24 mod 1000 2^30 = -576 = 24 mod 100 Odd ...
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| prime | 8/10/2008 | Vijilant |
Q: Find all prime numbers(p,q,r) , that numbers pq+pr+rq and p^3+q^3+r^3-2pqr are divided by p+q+r.
A: I'm afraid I don't have the time at present to do justice to this problem, but I would not be ...
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| number theory | 8/10/2008 | Vijilant |
Q: 1.find the no of solutions of x^2congruent x mod m and for all positive integers of m 2.pi(m)=pi(mn) ...
A: 1. x(x-1) congruent to 0 mod m for every m, can only have the solutions x=0 and x=1. 2. I'm ...
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| Watts & Watt-Hours | 8/8/2008 | Vijilant |
Q: Can you explain the difference between watt-hours per hour and watts per hour? I thank you for any ...
A: Suppose we take the example of a 1 watt indicator lamp. It is using energy at the rate of 1 joule ...
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| combos | 8/6/2008 | Vijilant |
Q: using 0-9 how many combinations are possible in a 9 digit combination
A: Let's put it into a real situation. You are the manager of a team which plays 9 a side martian ...
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| find the remainder when 7^51 is divided by 144 | 8/4/2008 | Vijilant |
Q: find the remainder when 7^51 is divided by 144
A: We can use Euler's generalisation of Fermat's little theorem: a^phi(n) = 1 mod n if a is prime to n ...
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| (a,p)=1,(n,p-1)=1 then x^n congruent a mod p has exactly one solution | 8/2/2008 | Vijilant |
Q: (a,p)=1,(n,p-1)=1 then x^n congruent a mod p has exactly one solution
A: I will have to assume that you mean p is prime. The p-1 numbers, 1,2,...p-1 form a multiplicative ...
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| number theory | 8/1/2008 | Vijilant |
Q: 1.x^3+4x+8 congruent to 0 mod 15 using chinese remainder theorem 2.how to solve 15x+12y+30z=24
A: We need to solve x^3 + 4x +8 = 0 mod 3 and also mod 5. The first is true for x=2 mod 3. The second ...
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| math | 7/29/2008 | Vijilant |
Q: how many 6 digit combinations can you make from 17 to 47 EX- 17 19 20 22 33 47? and can you send me ...
A: This is 31C6 as there are 31 to choose from and we need to choose 6. Most scientific calculators ...
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| plz enlighten me. | 7/25/2008 | Vijilant |
Q: what about well ordering property,is there any proof in this?
A: I think I said that the well ordering property is exactly that, a property and is part of the ...
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| Probability | 7/24/2008 | Vijilant |
Q: What is the probability of (a) two randomly chosen sides and (b) two randomly angles being equal in ...
A: There is a subtle difference here, as the consecutive property is now given. Since every pair of ...
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| Probability | 7/24/2008 | Vijilant |
Q: What is the probability of (a) two randomly chosen sides and (b) two randomly angles being equal in ...
A: (a) There are 3 different ways to choose the sides of the triangle, and only one is the equal sides, ...
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| im bothered! | 7/21/2008 | Vijilant |
Q: how to prove well ordering principle?
A: I don't think this is something you can prove. It is one of the properties of the set of natural ...
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| odd numbered fractions that dont equal 1 | 7/13/2008 | Vijilant |
Q: I was just running through some numbers and wondering how almost all odd numbered fractions don't ...
A: Your calculator can't show a recurring decimal. 1/3 is 0.3 recurring. A reasonably modern ...
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| Number Theory | 7/11/2008 | Vijilant |
Q: What is the formula to factor the binomial: 2^ab + 1 OR the binomial 2^ab - 1 (where a and b are ...
A: If ab is a power of 2 there is no algebraic factorisation for 2^(ab) + 1 in real numbers. But we ...
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| number puzzle | 6/25/2008 | Vijilant |
Q: Can you answer this: work out the logic of these numbers and state which other number completes the ...
A: Something tells me that this is not really a maths problem. Your sequence can be written 1*19, 2*12, ...
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| Hello, please take a look at my question. | 6/8/2008 | Raja Rama Gandhi |
Q: If you do not mind. How would you show that if a and b are positive integers and a^3 | b^2, then a ...
A: as you said, a|b. this is nothi9ng but, a=bk for k is some integer. Now, the claim is, a^3|b^2 = ...
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| number theory | 6/3/2008 | Vijilant |
Q: I'm having trouble with this problem it's my first class in number theory so I don't have much of a ...
A: Proofs in number theory are notoriously difficult, but don't despair. As you progress it gets ...
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| math | 6/2/2008 | Vijilant |
Q: The width of a rectangle is half as long as the length.The rectangle has an area of 128 square ...
A: We need to use some algebra and denote the width of the rectangle by w feet. Then the length of the ...
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| Can the following problem be solved using the Euclidean Algorithm? | 5/15/2008 | Vijilant |
Q: This is a follow-up to my subject question about the local village gala The problem was solved for ...
A: This has already been done. Here is a copy of my previous answer. We have two equations using pence. ...
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| 6-digit combination | 5/5/2008 | Vijilant |
Q: How can I get every possible 6-number combinations using numbers 0 to 49 on an excel spreadsheet?
A: With great difficulty. You would need about 84 million cells. You could use a simple basic program ...
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| Last question in my sons homework. | 5/1/2008 | Vijilant |
Q: My sons homework is number sequences. example 7n-3 = 4, 11, 18, 25 etc. I understand how this works. ...
A: Sorry for the delay. I didn't get the email. My ISP is sometimes too careful about eliminating ...
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| proof | 4/27/2008 | Vijilant |
Q: how can i prove that the number 1/square root of 2 is not a rational? how can i prove square of 2 is ...
A: Sorry for the delay. I didn't get the email. My ISP is sometimes too careful about eliminating ...
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| Euclidean Algorithm | 4/27/2008 | Vijilant |
Q: Can the following problem be solved using the Euclidean Algorithm? At a local village gala, the ...
A: Sorry for the delay. I didn't get the email. My ISP is sometimes too careful about eliminating ...
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| Finding the nth term with no constant increase | 4/10/2008 | Vijilant |
Q: I am stuck on finding nth terms when there doesn't appear to be a constant increase or decrease. is ...
A: Sequences where there is a constant difference are called arithmetic sequences. Sequences where ...
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