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Number Theory/Questions

SubjectDate AskedExpert
Rates1/15/2012Vijilant
  Q: I need the solution to have the form of (A X B X C)/( D X E) for the following. All cooks baking ...
  A: The amount of work that is done is the number of cook-hours. 4*6 cook hours are needed for 8 pies, ...
Number Theory1/8/2012Vijilant
  Q: I have the followingIs the following equation unique: A**n + B**m = C, where A, B,C, n and m are ...
  A: Once again, it will depend on the values of C and r. And also there will be multiple solutions if ...
Number Theory1/6/2012Vijilant
  Q: I have the followingIs the following equation unique: A**n + B**m = C, where A, B,C, n and m are ...
  A: Clearly this depends on the value of C. For example, if C = 2, we must have A = B = 1, but n and m ...
Best book12/29/2011Scott A Wilson
  Q: Which is the best textbook(top rated) that I can choose to study Number Theory(which has clarity and ...
  A: I'm not sure since I graduated back in 1986 with an MS in mathematics and haven't kept up on books ...
philosophy of number/zero12/4/2011Scott A Wilson
  Q: what is the number zero("0") a description of? how is zero related to whole numbers like 1, 2 ,3 , ...
  A: The number 0 took a long time to develop. It pertains to what's at hand. You might hage 0 cookbooks ...
Maths Application Example ?11/25/2011Vijilant
  Q: The Above Attached Example of Children becomes which Maths application ? Multiplication Probability ...
  A: Once again it isn't a number theory question, but these are all permutations of male and female. Not ...
Boomerang - Laws of Physics and Geometrical Shape11/21/2011Scott A Wilson
  Q: http://en.wikipedia.org/wiki/Boomerang How does a Boomerang and Returning Boomerang works ? What ...
  A: If the material is changed, a heavier material would be harder to throw. It seems like it would be ...
Boomerang - Laws of Physics and Geometrical Shape11/21/2011Scott A Wilson
  Q: http://en.wikipedia.org/wiki/Boomerang How does a Boomerang and Returning Boomerang works ? What ...
  A: Boomerangs can be made of almost any material, though a light-weight material works better. ...
number representation11/9/2011Vijilant
  Q: i was wondering if there is any computer implementable method to determine the minimum number of ...
  A: Of course. It is very easy. Assuming you are thinking about positive integers, round up ...
Olympics Games Medals.11/8/2011Vijilant
  Q: http://en.wikipedia.org/wiki/Olympic_Games http://en.wikipedia.org/wiki/Olympic_medal ...
  A: This a rather tongue in cheek question, but I will answer it. First of all 3 is a very special ...
Non-Integral Prime Numbers10/30/2011Vijilant
  Q: Do Non-Integral Primes exist, and if so what are the example between 0 and 3pi?
  A: It depends on what number field you are working in. Clearly if you are in the integers, then you ...
none10/28/2011Vijilant
  Q: how many combination at 1 to 45 numbers
  A: You don't say how many you need to select from the 45. There would be 45C2 ways = 45*44/2 ways to ...
Hi ,Scott10/28/2011Scott A Wilson
  Q: Scott ,May I ask some questions , for me , it's hard : 1. Evaluate 1*1! + 2*2! + 3*3! +.....+n*n! ...
  A: 1. If n = 1, 1*1! = 1*1 = 1, the sum is 1, but we won't look at n=1; even though we know it, it ...
Ratios10/13/2011Vijilant
  Q: Can ratios have units? For example, if there are three combs and 5 pencils on a table, is the ratio ...
  A: A discrete variable is one which can take only a finite set of values. The most usual is whole ...
Ratios10/13/2011Vijilant
  Q: Can ratios have units? For example, if there are three combs and 5 pencils on a table, is the ratio ...
  A: I think that there is a great difference between discrete and continuous. The rates examples are ...
Number Theory : (p-1)! mod p proof10/5/2011Scott A Wilson
  Q: I'm working on a proof that shows (p-1)! mod p is congruent to (p-1) mod p. My problem is I'm ...
  A: How is(4*1)(3*2) congruent to 4 * 1 mod p? How is (6*1)(5*3)(4*2) congruent to ≡ 6 * 1 * 1 ...
Number different from other numbers10/3/2011Scott A Wilson
  Q: Choose the number which is different from the others in the given group:416 981 149 636 436
  A: The factors are 416=2*2*2*2*2*13, 981=3*3*109, 149 is prime, 636=2*2*3*53, and 436=2*2*109. It could ...
Number Theory : (p-1)! mod p proof10/3/2011Scott A Wilson
  Q: I'm working on a proof that shows (p-1)! mod p is congruent to (p-1) mod p. My problem is I'm ...
  A: I still don't see this as being true. Take p as 5 (which is prime), so p-1 = 4, and (p-1)! = 24. ...
Number Theory : (p-1)! mod p proof9/30/2011Scott A Wilson
  Q: I'm working on a proof that shows (p-1)! mod p is congruent to (p-1) mod p. My problem is I'm ...
  A: I don't see this as being true. Take p as 4, so p-1 = 3, and (p-1)! = 6. Now p mod p-1 is 4 mod 3, ...
Chess Indoor Game - Reinventing - Maths Application.9/27/2011Scott A Wilson
  Q: Re engineered Chess Board Layout. where the Total Number of squares will be 144 i.e. 12 square ...
  A: That sounds really great to me. Note that what a the squares a Jack and a Knight can move to are the ...
Chess Indoor Game - Reinventing - Maths Application.9/27/2011Scott A Wilson
  Q: Re engineered Chess Board Layout. where the Total Number of squares will be 144 i.e. 12 square ...
  A: Here's another thought. What if the board had a blank row and column of squares inserted in the ...
Chess Indoor Game - Reinventing - Maths Application.9/26/2011Scott A Wilson
  Q: Re engineered Chess Board Layout. where the Total Number of squares will be 144 i.e. 12 square ...
  A: Another thought - what about pieces that moved differently? Maybe we could invent a piece that ...
complex numbers9/24/2011Scott A Wilson
  Q: Can you solve this questions: arg[z/(z-2)]=1/2pi arg((z+i)/z-1))=3/2pi
  A: To do complex number division and since we are looking for an argument, convert the numnbers to ...
Card Indoor Game - Reinventing - Maths Application9/22/2011Scott A Wilson
  Q: Can we manufacture/create another 13 Cards for say Lotus, 13 Cards for Daffodil, 13 Cards for ...
  A: The colors sound alright, but perhaps more should be added? For example, make two new suits orange ...
Card Indoor Game - Reinventing - Maths Application9/21/2011Scott A Wilson
  Q: Can we manufacture/create another 13 Cards for say Lotus, 13 Cards for Daffodil, 13 Cards for ...
  A: Yes, that sounds great. As I'm thinking about it, different rules could be added to almost any card ...
Card Indoor Game - Reinventing - Maths Application9/20/2011Scott A Wilson
  Q: Can we manufacture/create another 13 Cards for say Lotus, 13 Cards for Daffodil, 13 Cards for ...
  A: If we are adding cards to the deck and we still want to be able to deal out evenly to 12 people, we ...
Computing Mean/Averages and Median of Numbers9/13/2011Scott A Wilson
  Q: The mean (or average) of a set of data values is the sum of all of the data values divided by the ...
  A: The first list gives 2.3, 4.5, 6.712, 23.78, 31.456, 65.12, 657.7. There are seven numbers, so the ...
Computing Mean/Averages and Median of Numbers9/12/2011Scott A Wilson
  Q: The mean (or average) of a set of data values is the sum of all of the data values divided by the ...
  A: 1. Yes, the average of 2.3, 4.5, 6.712, 31.456, 657.7, 23.78, and 65.12 is (2.3 + 4.5 + 6.712 + ...
Mathematical Keyboard Software Interface9/12/2011Scott A Wilson
  Q: Can we have a Mathematical Keyboard Layout Software Interface ? The Designed Mathematical Keyboard ...
  A: Perhaps for the operators, we also need = { for just equality, so the result would be yes or no} ...
nth root9/10/2011Vijilant
  Q: plzzzz explain me the best method of finding nth root of a number.I studied nth root algorithm but ...
  A: . You haven't mentioned complex numbers. If that is what you mean you need to question me again. ...
nth root9/10/2011Scott A Wilson
  Q: plzzzz explain me the best method of finding nth root of a number.I studied nth root algorithm but ...
  A: I know of know system for finding root besides the one for squareroots. For example, lets find the ...
Number Theory9/10/2011Vijilant
  Q: Sir, I had the following questions in my exercise, I failed to solve. Please look at these problems ...
  A: You only have to work out some terms and look for a pattern. It goes 0,1,4,13 = 2,7,22=0. So every ...
Algebraic Square, Cube Formulas / Equations.9/10/2011Vijilant
  Q: We have the following formulas 1. (a + b)^2 = a^2 + 2ab + b^2 2. (a − b)^2 = a^2 − 2ab ...
  A: Blaise Pascal investigated this while at school. Because he was so intelligent he got bored easily. ...
Trignometric Equations9/9/2011Scott A Wilson
  Q: http://en.wikipedia.org/wiki/Trigonometric_functions Some Formulas ------------- sin(A + B) = ...
  A: The formulas area sin(2x) = 2sin(x)cos(x), cos(2x) = cos^2(x) - sin^2(x), sin(x+y) = sin(x)cos(y) + ...
Trignometric Equations9/8/2011Vijilant
  Q: http://en.wikipedia.org/wiki/Trigonometric_functions Some Formulas ----------------- sin(A + B) = ...
  A: Once again you have asked me a question on a topic other than on number theory. But I can assure ...
Trignometric Equations9/8/2011Scott A Wilson
  Q: http://en.wikipedia.org/wiki/Trigonometric_functions Some Formulas ------------- sin(A + B) = ...
  A: Any value can be used to compute the sin(), cos(), or tan(). If 360 is added on and the trig ...
Quadratic Equation9/7/2011Vijilant
  Q: http://en.wikipedia.org/wiki/Quadratic_equation As seen from the definition, a quadratic equation ...
  A: Q1 everywhere. For example finding the max or min values of a cubic expression. Take an A4 sheet ...
Mathematics Quick Reference Guide or Maths Symbols Dictionary9/6/2011Vijilant
  Q: Can we have a Maths Symbols Dictionary or Maths Symbols Quick Reference Guide similar to Oxford or ...
  A: Let's keep trying to save the planet! There is absolutely no need to cut down trees for paper to ...
whole numbers and midpoints9/6/2011Vijilant
  Q: Find three whole numbers such that the average of any pair is not a whole number. Find 5 points in ...
  A: Both of these are impossible. For 3 integers, there must be either at least two even or at least 2 ...
Sets Operations Order of Computations9/5/2011Vijilant
  Q: Sets Operations Order of Computations ---------------------------------------------- Example ...
  A: Just as multiplication takes precedence over addition, so intersection takes precedence over union, ...

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Scott A Wilson

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I can answer almost anything that is sent in. If I can't, I'll let you know, but I don't expect that to happen much.

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I have known about it since the mid 80's. There were a few questions in Number Theory in this software. I have answered several thousand other questions in mathematics.

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My credentials are an MS in Mathematics at Oregon State and a BS in Mathematics at the same place.

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