Search Results for: fraction
frac inequality
Question : Let where is the largest integer . Prove that as . Answer 1 : Maybe you mean ?............
$frac{a}{b}+frac{b}{c}+frac{c}{a}
Question : Let a,b,c >0.Prove that:
............
Pharmacia AKTA Frac-100 Fraction Collector for PARTS
Fraction eBay auctions you should keep an eye on:
[wprebay kw="fraction" num="46" ebcat="all"]
[wprebay kw="fraction" num="47" ebcat="all"]............
Pharmacia GradiFrac Controller / Fraction Collector
Fraction eBay auctions you should keep an eye on:
[wprebay kw="fraction" num="78" ebcat="all"]
[wprebay kw="fraction" num="79" ebcat="all"]............
The sum of the fractional part of frac{ri}{n}
Question : Let be integers and be positive integers such that is not the multiple of , and let be the greatest common measure of and . Prove that where is the fractional part, that is to say, which means the value............
frac of the elements bigger than frac of AM_GM
Question : prove or dispove that for I hope that at least one of my conjectures become true , just for a change Answer 1 : I think that it is not true for . Answer 2 : Yes, I have the same conclusion.
I tried to take............
frac(e^n)
Question : Could anyone tell me where (book, website) could I find a proof of this theorem?:
frac(e^n); for n=1,2,3... is equidistributed (or at least dense) on the interval [0,1].
(frac(x) is the fractional part of x;
a^b is a on the power b)
Thanks,
Yegreg Answer 1 : http://en.wikipedia.org/wiki/Equidistribution_theorem discusses related ideas, but the............
[SOLVED] frac with choose
Question : How can one present fraction with combinations above and below?
For example, frac{ 4choose 4 48choose 9 }{ 52choose 13 } gives this: I've already searched for "choose" in "Latex Help Forum". Answer 1 : ............
Divide Frac by whole numb
Question : 4 3/5 divided by 5 please solve and explain how it was done. Answer 1 : ok, when we are dividing fractions, what we do is that we take the inverse of the fraction............
Another Frac. Decomposition Problem
Question : Find the integer that is closest to Answer 1 : 4everwise wrote:Find the integer that is closest to Hidden TextThe sum telescopes so the answer becomes The last four terms can be approximated to become . So then which becomes which is closest to . Answer............
$frac{a}{b}+frac{b}{c}+frac{c}{d}+frac{d}{a}=4$
Question : Find the greast value of , where are distinct reals satisfying and . Answer 1 : My solution. Answer 2 : toanhocmuonmau wrote:My solution.Chưa hết hạn gửi bài .. nên đừng thảo luận
thay 4 bới k............... Answer 3 : VANCHANH123 wrote:toanhocmuonmau wrote:My solution.Chưa hết hạn............
Linear Eqs with Fracs
Question : Find the ordered pair (x,y) that satisfies:
Answer 1 : Hidden Text Say that and . Thus,andSolving the pair of linear equations, we find that So, and . Answer 2 : Ignite168 wrote:Find the ordered pair (x,y) that satisfies:solutionMultiply the first equation............
trig with frac of cos and sin
Question : Let two angles of a triangle
Find in function of B,C such that
Answer 1 : .............
Frac inequality,nice
Question : for ,Prove:
for and
for Answer 1 : It doesn't seem easy . Answer 2 : zhaobin wrote:for ,Prove: for If n = 1, it's easy, but the original should be:
Answer 3 : After a while, I cannot find the equality in the first problem.
Is............
Nice inequality with frac 45
Question : Let be an integer, and let be positive real numbers such that Prove that the following inequality takes place Bogdan Enescu, Mircea Becheanu Answer 1 : instinct tells me cauchy will work (i'm trying the prb neway) Answer 2 : apply cauchy schwarz to
sum [(a_i)^2*{(a_(i+1)^2+1]............
frac{m}{2}
Question : Let and function so is continuous on such that and .Prove that for all Answer 1 : Choose any . We have and . Thus , so , as desired. Answer 2 : to JBL: distinct ............
Frac, Dec, and Per -- Connecting Representations
http://faculty.wheelock.edu/dborkovitz/content/fracdecper/fdp16.doc
George Kiroff MS, FRACS
http://www.aphernia.com/images/members/GK%20brief%20CV.doc
frac of AM-GM smaller than sum of frac of the numbers
Question : This may be a piece cake for the advanced guys but it is interesting:
for prove :
2.prove or dispove
Answer 1 : for the second ineq we have
Similarly for the other and the conclusion follows!!! Answer 2 : The first is solved exploiting Cebasev's inequality:
Assume............
Divide Frac by whole numb 2
Question : Another Fraction divided by whole number. My answer is 54 but somehow I doubt that's right.
Question
2 1/3 : 18 = ?
2 1/3 2x3= 6 + 1 = 7
7/3 : 18 = 7/3 : 18/1 = 0/3 x 1/18 =............
frac{1}{a^2+a}
Question : For all of positive such that prove
Answer 1 : so we are to prove
which follows from AM-GM. Answer 2 : The second step, , is just Holder. Answer 3 : Xevarion wrote:so we are to provewhich follows from AM-GM. Very nice. Indeed, I have............
frac{1+a}{1-a}
Question : Let are non negative number such that then
find min and max of:
............
With the magic frac{3}{2}
Question : If with prove that
Answer 1 : When , by Nesbitt Inequality. Answer 2 : I edit my post. Answer 3 : silouan wrote:If with prove that sorry.I think it is wrong.... Answer 4 : I want from the moderators to............
exponentes 1-frac{1}{n}
Question : Let and Prove that
Answer 1 : This is very beautiful!!!!!!!!!!!!
It seems to be a very difficult problem!
Silouan ,who is the constructor of this inequality? Answer 2 : Yes, thank you for this nice one. It seems to be hard. Answer............
[SOLVED] Complex Frac to Decimal no Calculator
Question : change
into a decimal without a calculator. Method please. Answer 1 : Solved. Someone taught me a method
do 3:11
11 goes into 3 no times.
Add a 0 to 3
11 goes into 30 two times. Put a two............
$frac{1}{2}+frac{1}{3}+...+frac{1}{n}$
Question : Let be a positive integer with . Prove that is not an integer Answer 1 : Solution:
Let and ,so i want to prove that .It is easy to understand,because if we denote then .But for even we have .So . Answer 2 :............
frac{1}{x}+frac{1}{y}=frac{2}{z}
Question : Solve for positive integers . Answer 1 : where and is positive and it is all solutions............
frac{1}{x^2}+frac{1}{y^2}=frac{1}{z^2}
Question : Find all solution of the equation where and . Answer 1 : Multiply both sides by . Then we get
Now, note that Thus these are the squares of primitive pythagorean triples. Now dividing any pythagorean triples by the lcm of their squares give us the desired............
frac{43}{197} < frac { alpha }{ beta } < frac{17}{77}
Question : Let and be positive integers such that . Find the minimum possible value of . Answer 1 : We have With calculations we find that the smallest and the value and we are done. Answer 2 : I type alpha,beta in a,b
The problem............
Down with fractions!
Question : Do you agree? - Professor: Fractions should be scrapped - USATODAY.com Answer 1 : Absolutely not. Children encounter fractions frequently, e.g. cutting up a cake, telling time. They don't need to be taught how to halve, but they do need............