I want to multiply this number:     5374711027510012111075768211110475111691021051041057653548210911210211112250867   66690120741165250567278571217510410482757487   with this number:     4956889911565576581818287977011111065876967103548749122901151091038910610511189   But when I cast the result to string I get this:     2.66418508698446E+201   Which is:     266418508698446000000000000000000000000000000000000   000000000000000000000000000000000000000000000000000000000000   000000000000000000000000000000000000000000000000000000000000   0000000000000000000000000000000   Not exactly the precise number, those zeros represent loss of precision, am I right?  Is it possible to get the precise number (every single digit) out of this calculation using C#?  Thanks
When doing calculations on very large numbers where integral data types such as double or int64 falls short, a separate class to handle such large numbers may be needed.    Does anyone care to offer an efficient algorithm on how best to do this?
I recently made my pen-drive bootable with Ubuntu 14.04. But I need to unboot my pen-drive now. I formatted my pen-drive once,But the size of the pen-drive still shows 2.25 MB. Whereas,this is an 8GB pen-drive. How can I get rid of this problem. I'm still using Windows 7. Sort by author in Alpha bibliography I am a newbie in combinatorics and still don't have enough tools to handle this kind of problems.  Assuming I have a set of integers: $ \{1,2,3,4,\dots,n\} $  In how many ways, can I choose $k$ numbers out of those $n$, such that none of them are consecutive?  For instance, for the following set $ \{1,2,3,4,5\} $  For $ k=3 $ I have only 1 option: $\{1,3,5\}$  My purpose is first of all to understand the way you would think about this  problem, not necessarily the solution itself (I have the final answer for it).  Thanks. Where are my installed applications? I would like to convert tab to spaces in gVim. I added the following line to my _vimrc:  set tabstop=2   It works to stop at two spaces but it still looks like one tab key is inserted (I tried to use the h key to count spaces afterwards).  I'm not sure what should I do to make gVim convert tabs to spaces? Do positive semidefinite matrices have to be symmetric? Can you have a non-symmetric matrix that is positive definite? I can't seem to figure out why you wouldn't be able to have such a matrix, but all my notes specify positive definite matrices as "symmetric $n \times n$ matrices."  Can anyone help me with an example of a non-symmetric positive definite matrix, or some insight into a proof for why it would need to be symmetric should that be the case? Thanks! "Was" or "were" for "half a dozen" In Microsoft Word, the following sentence is flagged.  It tells me to use "was" instead of "were"     There were half a dozen books strewn about the floor.   I would think that you would use "were" since it's a quantity more than one.  You wouldn't say, "There was twelve books strewn about the floor."  Does the use of the "half" modify it somehow? I read a collection of Sci-Fi short stories back in the 1970's or early 80's that had one about a couple in love who kept losing each other. The book was my dad's so the story itself could be much older than that. I am very fuzzy on the details as I was young when I read it and it was so long ago. I believe the woman/girlfriend was "taken" (by some bad guy aliens??) while she was sleeping. I think it involved time travel and the man had to search through time to find her. After he found her, when he was asleep one time, he somehow was then "taken" and I think transported through time and had to fight his way back to her again. He may have been some sort of police officer. I just remember in the end, at night when they went to bed, the couple always wore handcuffs so they were never separated when they went to sleep ever again. Does this ring a bell with anyone?  (There is a possibility it is in a short story collection that also contained " The Twonky " by Lewis Padgett (1942), as I remember reading that story around the same time) Can a Half-Elf have Drow Ancestry? In ZFC set theory, every element object is a set. We know or feel that if $X$ and $Y$ are sets, their cartesian product $X\times Y$ is a set.  My question is: Why if $X$ and $Y$ are sets, their cartesian product $X\times Y$ is a set? Why is spectrum obtained by sunlight, said to be continuous? My teacher spoke about atomic spectra today, and he explained that, unlike the spectrum obtained by analyzing the sunlight, the spectra of atoms are not continuous.     I have a question about this - even the sunlight has the radiations emitted by the atoms of the elements which compose the sun, still spectra is continuous, which is in opposition to the statement that atomic spectra is discontinuous. So, spectrum obtained by sunlight is continuous even though it atomic spectra. In order to account for spectrum obtained by the sunlight to be continuous and atomic spectra to be discontinuous, can we confirm that sun consists of all those elements (sodium, helium, neon, mercury, etc) which emit the colors of frequency belonging to visible region? I'm told by smart people that $$0.999999999\ldots=1$$ and I believe them, but is there a proof that explains why this is? I'm looking for a word which indicates that a person has adopted a quality suggested by their name, e.g. a person named Grace who is indeed graceful, or perhaps someone named Shepherd who has become a shepherd.  I have a strong notion that I once learned such a word, but I have forgotten it and have never re-discovered it. Preventing Brute Force Logins on Websites As a response to the recent  and , what is the best way to secure your website against brute force login attacks?  Jeff's post suggests putting in an increasing delay for each attempted login, and a suggestion in the comments is to add a captcha after the 2nd failed attempt.  Both these seem like good ideas, but how do you know what "attempt number" it is?  You can't rely on a session ID (because an attacker could change it each time) or an IP address (better, but vulnerable to botnets).  Simply logging it against the username could, using the delay method, lock out a legitimate user (or at least make the login process very slow for them).  Thoughts? Suggestions? XPath select node with namespace Abort Ajax requests using jQuery Is it possible that using jQuery, I cancel/abort an Ajax request that I have not yet received the response from? How to find files containing two strings in different lines Inconsistent line spacing I'm going on a vacation from Europe to the US and was planning of bringing along some Xbox360 or PS3 games, but now I'm curious if they will be compatible with my European Xbox.  In that past there would be a clear difference between NTSC and PAL games, but is this still the case with the current gen of consoles? How do I go about porting Ubuntu Touch to different devices? I would like to port Ubuntu Touch to a device that is currently not supported. What are the requirements for doing this and where do I begin?