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Number Theory/Questions Answered by Expert Scott A Wilson
| Subject | Date Asked |
| Best book | 12/29/2011 |
| 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/zero | 12/4/2011 |
| 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 ... | |
| Boomerang - Laws of Physics and Geometrical Shape | 11/21/2011 |
| 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 Shape | 11/21/2011 |
| 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. ... | |
| Hi ,Scott | 10/28/2011 |
| 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 ... | |
| Number Theory : (p-1)! mod p proof | 10/5/2011 |
| 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 numbers | 10/3/2011 |
| 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 proof | 10/3/2011 |
| 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 proof | 9/30/2011 |
| 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. | 9/27/2011 |
| 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. | 9/27/2011 |
| 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. | 9/26/2011 |
| 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 numbers | 9/24/2011 |
| 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 Application | 9/22/2011 |
| 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 Application | 9/21/2011 |
| 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 Application | 9/20/2011 |
| 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 Numbers | 9/13/2011 |
| 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 Numbers | 9/12/2011 |
| 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 Interface | 9/12/2011 |
| 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 root | 9/10/2011 |
| 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 ... | |
| Trignometric Equations | 9/9/2011 |
| 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 Equations | 9/8/2011 |
| 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 ... | |
| Maths Symbols Dictionary or Maths Symbols Quick Reference Guide | 9/5/2011 |
| Q: Can we have a Maths Symbols Dictionary or Maths Symbols Quick Reference Guide similar to Oxford or ... A: I thought had answered this, but there was another copy sent to me. Such a book exists already as ... | |
| Zero | 7/22/2011 |
| Q: 1. When we divide any number by the same, we get 1. What for 0/0? 2. Is infinity really exist? ... A: It is so because we don't know what else could be there. Are you familiar with limits? The limit as ... | |
| Zero | 7/21/2011 |
| Q: 1. When we divide any number by the same, we get 1. What for 0/0? 2. Is infinity really exist? ... A: 1. The number 0/0 is undefined. For example, if we had 2x/x and let x not be 0, the value would be 2 ... | |
| Number Theory | 6/29/2011 |
| Q: I had the following questions for my assignment. Please help me out from these questions. 1. Prove ... A: 1. Every integer there is can be expressed as 4n, 4n+1, 4n+2, or 4n+3. If it is less than 4n, ... | |
| Maths | 6/8/2011 |
| Q: How do i find the nth term in the series 480 + 240 + 120+... A: Notice that 480/240 = 2, and 240/120 = 2, so the nth term is 480/2^n. That is,, term 0 is 480, term ... | |
| Unique solution | 5/15/2011 |
| Q: I tried all my best to answer the question in the attachment. Please help. Thanks Aba A: The derivative is f'(x) = 3x^2 - 6x + 4 This says a=3, b=-6, and c=4. By the quadratic equation, b^2 ... | |
| Which number is larger? | 5/7/2011 |
| Q: Which of these numbers is larger (10^80 - 1)! (Note that it's FACTORIAL) OR ... A: Take log base 10 of each of these numbers. We know that log(10^70,000,000,000,000) = 70 trillion. ... | |
| Grid Creation? | 4/15/2011 |
| Q: I have a practical problem that I believe is mathematically impossible to solve. But, being barely ... A: To solve this problem involves a time line of 10 weeks. I will take the employees as A, B, C, D, E, ... | |
| Adding & Subtracting Fractions | 4/8/2011 |
| Q: Is there another method to use in order to add and to subtract fractions other than by converting ... A: Well, they could both be converted to fractions. For example, 1/2 = 0.5 and 1/3 = 0.333333..., so ... | |
| about addition and multiplication digit limitation | 4/6/2011 |
| Q: You--Using this method, a 257 digit number can be done in Excel on my PC. This can be done for ... A: Using many rows of my spreadsheet, I too can add together numbers with vast amount of digits. I ... | |
| prime number | 4/5/2011 |
| Q: Answer of you quires as per my previous question. 1.You don't say where your 'unique' set of numbers ... A: If it is done right, it can go to many digits in Excel. As an example, if we have 111,222,333, put ... | |
| Modular Arithmatic / Properties of Functions | 4/1/2011 |
| Q: Given a positive integer m, prove that the assignment a |-> a <bold>mod</bold> m defines a function ... A: It looks like the function maps a number into itself. Using this, if we pick a number, it is mapped ... | |
| Number generator/program | 3/23/2011 |
| Q: How would I use excel or whatever to generate every possible combination of 6 numbers from a 9 ... A: In Excel in cell A1, put 9. In A2, put =A1-1 Copy A2 to A3 or type in A3 =A2-1. In B1, put ... | |
| prime number | 3/16/2011 |
| Q: Answer of you quires as per my previous question. 1.You don't say where your 'unique' set of numbers ... A: I believe you're looking for something to do MOD on a large number. In A1, I put 1000. In B1, I put ... | |
| prime number | 3/15/2011 |
| Q: Answer of you quires as per my previous question. 1.You don't say where your 'unique' set of numbers ... A: Having answered thousands of questions from around the world, I tried to find yours, but didn't, ... | |
| a new method | 3/13/2011 |
| Q: If I am not mistaken, I have developed a method that makes it much easier to solve many probability ... A: For C(150,25), I get the same answer each time for my number. I would look for them to write ... | |
| a new method | 3/12/2011 |
| Q: If I am not mistaken, I have developed a method that makes it much easier to solve many probability ... A: If the event has 2/3 probability and it occurs 3 times in a row, the probability would be ... | |
| abstract algebra | 2/20/2011 |
| Q: I am stuck....please help. Prove that any prime of the form 3m+1 for some m (notation for member of ... A: If m is odd, 3m is odd, and 3m+1 is then even. For any positive m, this is divisible by 2 and is ... | |
| sum of two irrational numbers | 2/16/2011 |
| Q: this is a follow up of the question, see ... A: It is known that pi = 4*sum(1 to infinity)[1/(2n-1)]. It is known that e = sum(1 to infinity)[1/n!]. ... | |
| sum of two irrational numbers | 2/15/2011 |
| Q: Statement:Ae+Bπ=C is not possible where A,B,C are integers. how do you mathematically prove ... A: To be a rational number, there must be a common divisor on the bottom. Yes, 4+29(sqrt(35))) and ... | |
| sum of two irrational numbers | 2/13/2011 |
| Q: Statement:Ae+Bπ=C is not possible where A,B,C are integers. how do you mathematically prove ... A: The variable n can be solved for, giving The result is n = (C - Ae)/B. The value of e is irrational. ... | |
| Circle & Pythagorean trple | 2/2/2011 |
| Q: Can you help this question, pleasse? PS see the attached document. Thanks Aba A: Since x = a/b and y = c/d, we know that (a/b)² + (c/d)² = 5². Multiplying the equaion (a/b)² + ... | |
| arithmetic number theory | 1/13/2011 |
| Q: 1.find the remainder of 2375x 5421 on division by 22...using the multiplication of modulo... 2. find ... A: 1. 22*100=2200, and 2375 - 2200 = 175, and 7*22 = 154, so 2375 = 107*22 + 21. 22*200 = 4400, and ... | |
| Algebra | 1/2/2011 |
| Q: A man has a physical balance and a stone of mass 40 kg . He divides the stone into four parts ... A: What we are doing in this problem is adding up number that are 3^n where n goes from 0 to 3. It is ... | |
| Algebra | 12/31/2010 |
| Q: A man has a physical balance and a stone of mass 40 kg . He divides the stone into four parts ... A: This is because 1, 3, 9, and 27 are all powers of 3; that is 3^0 = 1, 3^1 = 3, 3^2 = 9, 3^3 = 27. ... | |
| nth term | 11/20/2010 |
| Q: I have a data table as seen below and need to find the formula for the nth term: 2 4 6 8 ... A: I'm not sure about the 1st row, but the 2nd row goes 8 - 3 = 5, 15 - 8 = 7, and 24 - 15 = 9. As can ... | |
| number theory | 11/18/2010 |
| Q: Scott A. Wilson, Expert: Given: x and y < z; n>2 Given: x^2 + y^2 = z^2 ... A: I see: x^2+ y^2 = z^2 z^n-2(x^2)+ z^n-2(y^2)= z^n-2(z^2) if 3^2 + 4^2 = 5^2, then ... | |
| number theory | 11/16/2010 |
| Q: Scott A. Wilson, Expert: Given: x and y < z; n>2 Given: x^2 + y^2 = z^2 ... A: No, I disagree. The line "z^n-2(x^2)+ z^n-2(y^2)= z^n-2(z^2)= z^n is true." really goes ... | |
| mathematic number theory | 11/6/2010 |
| Q: 1) How to find the order of 3 modulo 31? 2) Let p be an odd prime. Prove that the order of 4 modulo ... A: 1) To find the modulo, subtract off any integer multiples of the number. Since 3 is less than 31, ... | |
| Properties of Arcs | 10/18/2010 |
| Q: Sir , why equal arcs subtent equal angles at the centre inside a circle . Can you pleas prove this ... A: If the measure of an angle is Θ in radians measured at the center of a circle, there is an ... | |
| number theory | 10/16/2010 |
| Q: Expert: Scott Wilson I am following up on previous questions submitted in September. In particular, ... A: I see there is an error in my answer. Instead of a^4 + b^4 + c^4 = d^4, it should be a^4 + b^4 + c^4 ... | |
| Square numbers | 10/16/2010 |
| Q: I've been searching on the web for a list of square numbers, classified by the number of digits, up ... A: For the numbers ending in 1904, I input the numbers with 7 and 8 digts that ended in 1904 by adding ... | |
| Square numbers | 10/14/2010 |
| Q: I've been searching on the web for a list of square numbers, classified by the number of digits, up ... A: The square of the first 25 numbers is, from 1 to 25, 1² = 1, 2² = 4, 3² = 9, 4² = 16, 5² = 25, 6² = ... | |
| Indeces | 10/13/2010 |
| Q: Sir why x^0 = 1 . Can you please prove this result ? A: It can be shown in a variety of ways. Here are 4 of them: Proof 1 ---------------- When a^b is ... | |
| polynomial approx of log | 10/10/2010 |
| Q: You told me last time that i can only get a (preferably cubic)polynomial that approximates the log ... A: When I answered this, I was thinking in particular of using cubic splines or using higher powers on ... | |
| polynomial approx of log | 10/5/2010 |
| Q: Is there a polynomial that approximates log10(log to base 10)accurately(at least within some certain ... A: Yes, there is one, but the bound on the error has to be for x in a certain range. As x goes off to ... | |
| nth term | 10/3/2010 |
| Q: Am trying to work out formula for nth term for the following numbers: 6,13,32,69,130. Please could ... A: I construxcted a difference table in Excel. To see how difference tables are made, read ... | |
| Determining the Common Ratio of an unknown Geometric Series | 9/21/2010 |
| Q: I have the starting value and the sum of the first twenty values in the series. eg: * Sum of ... A: Take 1000 = 100 * (1 - r^20) / (1 - r) and divide both sides by 10. This gives 10 = (1 - r^20) / (1 ... | |
| Bernoulli | 9/21/2010 |
| Q: I understand Bernoulli's law of large numbers but my question is: Is there an actual equation ... A: If you have a coin and you flip it three times, with each outcome being equally likely, that is an ... | |
| number theory | 9/16/2010 |
| Q: Expert: Scott A. Wilson In a previous answer you provided some examples where irrational numbers ... A: MAIN RESPONSE Upon looking through my past notes, I found the old question. Upon looking at the ... | |
| simple number of way | 9/14/2010 |
| Q: There is parking lot with six rows of twenty cars each. There are 105 cars parked in the lot. What ... A: Now the number of ways of arranging the cars can be found by counting the blank spots in each row. ... | |
| number theory | 9/12/2010 |
| Q: if M, N € Z+, gcd (M, N) = 1 and MN is a perfect square, then M and N must be perfect squares. ... A: To be a perfect square, the number must have each of the prime factors in it twice. Since there are ... | |
| Number Theory | 9/11/2010 |
| Q: Scott A. Wilson, Expert: Reasoning for the proof for x^n + y^n != z^n, n>2 in whole numbers. ... A: I just answered your last question, but in further reference, it has been shown to get a cube it ... | |
| Number Theory | 9/10/2010 |
| Q: Expert: Scott A Wilson Thank you for your response to my question regarding my "proof" of Fermat's ... A: I follow the reasoning so far. The only part that is not clear is where it says, "Assuming X^n + ... | |
| Number theory | 9/10/2010 |
| Q: How do you prove that a product of any number of odd integers is odd using induction? A: 1 is the first odd integer. 1*1 = 1, and that is still odd. Assume for any two odd numbers n, m we ... | |
| 6-digit numbers | 9/7/2010 |
| Q: How many 6 digit numbers can you make with using 0-9, using the digits only once? A: Since there are 10 choices for the 1st element, choosing one if them leaves 9 choices for the next ... | |
| divisibility | 8/7/2010 |
| Q: Prove that the product of four consecutive integers is divisible by 24. A: Take the first four integer - 1,2,3,4 - and multiply them together. That is since 24 = 4!. You know ... | |
| Number Theory | 7/30/2010 |
| Q: Sir what is the connection between the two terms : a out of b , a divided by b . For example , if a ... A: I will say that 9 out of 10 is the same as 0.9. If 9 out of 10 are gotten right, then the score is 9 ... | |
| Number Theory | 7/29/2010 |
| Q: Sir, I read in a book the method of expressing a non-terminating decimal in the form p/q where p ... A: This is because 9's and 11's are interchangeable. What I mean is 1/9 = .11111111…, a series of ... | |
| modulus of a fraction | 7/17/2010 |
| Q: Is it possible to do somethng like 0.6mod7 or even 3.4mod5.6?If this is possible how is it done and ... A: Yes, any number mod any other number is defined as a mod b = c when nb+c=a for some integer n. For ... | |
| Algebra | 7/16/2010 |
| Q: This is a response on your previous answer. See below for that question. Thanks for your response. ... A: Now if the tax is 142.12, half of the tax is 71.06, and when 71.06 is added to 928.93, the result is ... | |
| number theory | 7/5/2010 |
| Q: How to find whether congruence x^2= 6(mod 223)is solvable. A: This can be seen to be not solvable since 6 mod 223 = 6, and 6 is not x². If, however, the problem ... | |
| express sum as product | 6/17/2010 |
| Q: Is it possible to express y in terms of x and possibly a constant in the following ... A: Take the ln() of both sides, giving ln(a^x+1) = ln(a^y). Note that ln(a^b) = b*ln(a), so ln(a^y) = ... | |
| [Discrete Mathematics]Definition of permutation and set of permutations? | 6/16/2010 |
| Q: 4 speedly questions: 1) What is exactly a PERMUTATION in a set (for example): {1,2,3,4,5} ? 2) What ... A: 1) To be commutative, A maps B of x to the same place that B maps A of x. Let A map {1,2,3} -> ... | |
| express sum as product | 6/15/2010 |
| Q: Greetings, Is it possible to solve for y in the following a^x+1=a^y; thanks. A: Take the ln() of both sides. This gives ln(a^x+1) = ln(a^y). Remember on ln(), the power can be ... | |
| [Discrete Mathematics]Definition of permutation and set of permutations? | 6/15/2010 |
| Q: 4 speedly questions: 1) What is exactly a PERMUTATION in a set (for example): {1,2,3,4,5} ? 2) What ... A: A permutation refers to the ways of ordering a sample. For example, there are 2 ways with 2 elements ... | |
| maths | 6/12/2010 |
| Q: in a class, 72 students drink only tea,50% of the students drink coffee,25% of the students drink ... A: I find it best to draw table with two choices as seen in the attachment. It is known that A + 25% = ... | |
| maths of class 13 | 5/23/2010 |
| Q: Explain the concept of limits & continuity by giving practical applications. (number theory chapter) A: The limit as x->x0 of f(x) is f(x0) if f(x) is continuous at x0. For an example, any polynomial is ... | |
| maths of class 13 | 5/23/2010 |
| Q: Prove that no natural number can be both even and odd. A: To be even, a number must be divisible by 2. To be odd, it must be divisible by 2 after 1 is ... | |
| A little abstract | 4/26/2010 |
| Q: Okay so here is my question I need to find three units in Z[√2] I know that the first two ... A: The method of finding squareroots was learned by my brother before there were calculators. I was ... | |
| number combinations | 4/4/2010 |
| Q: How do I find a list of number combinations? The digits I can use are 0-9, and the combination is 6 ... A: For 1 digit, there are 10 - 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. For 2 digits, there are 100 - 00, 01, ... | |
| QUANTATIVE TECHNIQUES AND ANALYSIS | 3/27/2010 |
| Q: 1. General Buck Twigidson is preparing to make his annual budget presentation to the U.S. senate and ... A: 1. The total chances are of getting 25% - 49%, 50% - 74%, and 75% to 99%, since 100% and 0-24% are ... | |
| Rational Numbers | 3/24/2010 |
| Q: I read in a book the criteria for checking whether a rational number will be terminatting or non ... A: That is because all rational numbers are a ratio between two integers. In the number system that is ... | |
| Number Theory | 3/19/2010 |
| Q: Prove or disprove that it is possible to find a consecutive string of ninety-nine integers, the ... A: Note that even number have the property tat every 2nd number is divisible by 2 and every 4th number ... | |
| Riddle | 3/10/2010 |
| Q: I have been asked to "Find all six-digit numbers such that if the number is split into tow parts, ... A: The goal is to find d and e such that 1000*d + e is the same as (d+e)². Thus, we need to find ... | |
| Brain Teaser | 2/25/2010 |
| Q: IF: 2 + 3 = 10 7 +2 = 63 6 +5 = 66 8 + 4 = 96 THEN: 9 + 7 = ??? A: Instead of a '+' symbol, lets use a ~, since it is not addition. Thus, 2~3 = 10, 7~2 = 63, 6~5 = 66, ... | |
| real number | 2/9/2010 |
| Q: if 'a' and 'b' two real number if a > 0 then -a < 0 proof:- a > 0 a-a>0-a 0>-a if a < 0 then -a ... A: Say a = -56, then -a = 56. It is seen that 56 > 0. If x were the right positive number, we would ... | |
| Indices | 2/8/2010 |
| Q: Sir, I find these questions really hard to be answered.Hope you can help me solve them. 1)2^(x+4) - ... A: 1) 2^(x+4) - 2^(x+2) = 3. Factor out 2^x and get 2^x(2^4 - 2^2) = 3. Note that 2^4 = 16 and 2^2 = 4, ... | |
| Coin exchange problem | 2/5/2010 |
| Q: Recently,I read some articles regarding the coin exchange problem and its solution. All the ... A: As far as dynamic programming is concerned, the answer is yes. I believe it would take the large ... | |
| Coin exchange problem | 2/3/2010 |
| Q: Recently,I read some articles regarding the coin exchange problem and its solution. All the ... A: To be sure and get every value, a coin with a value 1 is needed. In the US, a note of currency is ... | |
| Rational Numbers | 1/26/2010 |
| Q: The number 1/3=0.333333333333333... 3(1/3) or (1/3+1/3+1/3) is exactly equal to 1, when we solve ... A: We need to prove that 0.9999.... = 1. To do this, choose any value as small as desired and it can ... | |
| negative numbers | 1/16/2010 |
| Q: 1. How the rule of Multiplication with negative numbers work? How can one say that it is right? or ... A: 1. I just answered the question, but I'll answer it in a different way. All you have to do is ... | |
| negative numbers | 1/16/2010 |
| Q: How the rule of Multiplication with negative numbers work? How can one say that it is right? or ... A: Suppose you have 10 pencils. If you are asked to give 2 away, that would be -2 to the number of ... | |
| numbers | 1/14/2010 |
| Q: Sir-Thanks in advance for math help. If A = {r belongs to Q such that r^2<2} and B = {r belongs to Q ... A: Since x²<2, that means (x+a)²=2 for some a, so the number x + a/2 is greater than x and less than ... | |
| number theorey for excercise | 12/20/2009 |
| Q: to Scott A Wilson I want to solution of proof for answer because I must a report infront a room ... A: 1. The lcm(n,n+1) is n*(n+1) for there can be no number besides 1 that divides evenly into n and ... | |
| Number Theory Correction | 12/10/2009 |
| Q: This is a clarification to my earlierFor s and g positive integers, prove there exist integers x and ... A: One way to look at this is that since the gcd(x,y)=g, x=ng and y=mg where n and m are integers. ... | |
| math | 10/19/2009 |
| Q: I just don't know where to start on these questions just some advanced questions that I didn't have ... A: 1) If |x-2|<δ, then |2x-4|<ε, ε = 0.01. Looking at |x-2| and |2x-4|, it can be seen ... | |
| mobius inversion | 10/15/2009 |
| Q: let f be an arithmetic function and let g(n) = Summation (over d|n) of mew(d)f(n|d) show that f(n) ... A: g(n) = summation (over d|n) (mew(d)f(n|d)); show f(n) summartion(over d|n) of g(d) questions: what ... | |
| theory used to estimate pumkin seeds | 10/8/2009 |
| Q: A few years a go I was in a workshop for teaching math. In that workshop the instructor referred to ... A: No, I don't know what the thing to look at would be. Maybe you could use how far the rabbit runs in ... | |
| One more question, advanced calculus | 10/7/2009 |
| Q: suppose that xn --> a, prove that the lim (1/xn)=(1/a). provided that xn is not equal to zero and a ... A: For xn->a, for n=k large enough, this means that for n>=k, all |xn - a| < ε for any ε ... | |
| proof, advanced calculus | 10/7/2009 |
| Q: I'm not quite sure if this is your area of study, but I thought that I would give it a shot. Prove ... A: It almost looked like |xn| was the absolute value of |xn|, but this can easily be disproved. What ... | |
| number theory | 10/4/2009 |
| Q: What will be the 28383rd term of the series 1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,….. ? thank u! ... A: So, you mean to keep counting. I was wondering why it started out with a 1,2,3,4,5,6,7,8,9, but now ... | |
| numerical sequences | 10/3/2009 |
| Q: Is there an algorithm or formula that can be used to solve most of the commonest numerical ... A: Take n(i) to be the ith term. The formula is then n(i) = 5*n(i-1) + 3. If we're looking for a ... | |
| number theory | 10/3/2009 |
| Q: What will be the 28383rd term of the series 1,2,3,4,5,6,7,8,9,1,0,1,1,1,2,1,3,1,4,….. ? thank u! A: Well, I ignored the first 9 digits, since I'm not sure what to do with them. If you look at ... | |
| Abstract Algebra | 9/30/2009 |
| Q: suppose G is a group and g ∈ G. Prove that if the order of g is 5, then the centralizers of g ... A: If G is only of order 5, that means it contains 0, 1, 2, 3, and 4. 0³ = 0, 1³ = 1, 2³=8, which ... | |
| three digit number combinations | 9/28/2009 |
| Q: How do I find out how many three digit numbers have digits whose sum is = to a specific number x? ... A: If you are looking for a way to count number, there are 999 numbers - 99 below that are not ... | |
| math | 9/26/2009 |
| Q: This is question from absolute value properties Question |a|>= and |a|>=-a Proof: if a>=0 then ... A: Is the first line '|a|>= and |a|>=-a,' suppose to say, '|a|>=0 then |a|>=-a'? The second line is ... | |
| SI units | 9/26/2009 |
| Q: express 90micrograms in centigrams???? A: From en.wikipedia.org/wiki/Microgram , I got In the metric system, a microgram (μg or ... | |
| three digit number combinations | 9/25/2009 |
| Q: How do I find out how many three digit numbers have digits whose sum is = to a specific number x? A: Think of one digit. The sum of one digit is where S is sum and T is times. S T 0: 1 2: 1 3: 1 4: 1 ... | |
| ap calculus preparation | 9/24/2009 |
| Q: 9. For question 9, find the standard equation of the circle satisfying the given conditions. A ... A: 9. The center is at ((2+0)/2, (0+2)/2) = (1, 1) and the radius is √2. This means the equation ... | |
| number theory | 9/14/2009 |
| Q: show that if p is a prime such that n < p < 2n, then p divides (2n choose n) I know that (2n ... A: If p is a prime between n and 2n, it must be n+i for n between 1 and n-1. All of those numbers are ... | |
| nuber theory | 9/12/2009 |
| Q: Working with the integers numbers I discovered a pair of consecutive numbers, 14 and 15, which have ... A: I have done a lot with factoring numbers, but have not yet looked into the sums of the factors being ... | |
Scott A Wilson
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