I'd guess that the weight was there to provide enough force on the spring-loaded cutoff-switch when the handset was in the cradle... Those things took some pressing. Modern phones have much lighter switches, which the weight of the plastic is enough to press down.
I guess what I meant is that the proof (or at least, the only one I can remember) is for the case of numbers which are coprime to 10...
See the other reply below about how it's also true for those cases... But for some reason I can't quite get my brain to cough up the proof for the general case... (Which is disappointing, time to turn in my Maths degree...) I can feel the slightest hint of a proof in the back, a gut feeling that it's right, but all that comes out is the routine proof as I studied it in Discrete Maths...
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Specifically, since the Totient of 10 is 4, any number which is coprime to 10 (i.e. not even and not a multiple of 5) when raised to a power of 4, yields a 1 in the units place, (i.e. N^4 = 1 mod 10 if gcd(N,10) = 1).
Since if a number is coprime to 10, then all its powers are coprime to 10, N^12 = (N^3)^4 also has a 1 in its units place.
Now N^13 = N*(N^12) will always have the same last digit as N, if N is coprime to 10.
Apparently, this took place over a long time... I didn't realise just how long it takes to shut down a government website... (or how quickly it goes from necessary and useful to redundant...)
Anyone who doesn't understand the importance of abstractions is likely to get left behind.
Equally, anyone who comes to rely on abstractions as a crutch will almost certainly get left behind as well... Joel on Software puts it, and other software design principles very nicely...
the website claims twice the lumen output of a 100W bulb - where I shop that's 26W worth of compact fluorescent juice, vs the claimed 22W. As I see it, these guys have built a maintenance-free version of an energy-saver bulb - 5 times the working life, resistant to shock and weather, and just as efficient.
That's assuming that the website claims pan out...
You said When there's a 2.6 that is actually useable on my system (crashes less than once every 30 mins) I'll believe that. But I don't think it's going to happen until 2.7 splits off.
The reality is more like When there's a 2.6 that is actually useable on my system (crashes less than once every 30 mins) I'll believe that. 2.7 is not ready to split off until then.
I'm usually not one to be a grammar nazi, but I suspect that when you said their reviews are objectionable, you meant something wildly different, like objective. I only point it out because it is quite the opposite of what you said... an appropriate time to make a comment about "irony", so the real grammar nazi's can duke it out over that word instead...
To be precise: * it's not my spooler, * I don't have, or even want, a GMail account, * I simply think it's a nice idea, and * I don't care if you donate any invites anyway.
Another interesting point - IBM actually runs Lotus WordPro internally. (The source file name for that PDF is LinuxChallenge-final 07.21.04.lwp)... While in an of itself that may not seem surprising, as IBM owns Lotus, it is interesting to not that this is a giant organisation which needs interoperability with thousands of other organisations, and they can still run an alternate office-suite...
Re:Transfers are between your own accounts.
on
Fishing for Phishers
·
· Score: 3, Informative
Which bank does not allow you to make payments to other people? What is the point of online banking if you can only shuffle money between your own accounts.
Of the four banks with which I have bank accounts, all allow me to make payments to anyone else whose account details I know. I can also make SWIFT (i.e. international) transfers to any account worldwide, by providing branch SWIFT code and account number.
Re:How is it possible to make money?
on
Fishing for Phishers
·
· Score: 2, Insightful
The only actions allowed are transferring money from one account to another
Slashdot Mirror
I'd guess that the weight was there to provide enough force on the spring-loaded cutoff-switch when the handset was in the cradle... Those things took some pressing. Modern phones have much lighter switches, which the weight of the plastic is enough to press down.
Because wars are a good excuse for gouging customers and profit-taking?
I guess what I meant is that the proof (or at least, the only one I can remember) is for the case of numbers which are coprime to 10...
x t seems like it might help... If my mind wakes up and helps, I might post the general solution later...
See the other reply below about how it's also true for those cases... But for some reason I can't quite get my brain to cough up the proof for the general case... (Which is disappointing, time to turn in my Maths degree...) I can feel the slightest hint of a proof in the back, a gut feeling that it's right, but all that comes out is the routine proof as I studied it in Discrete Maths...
http://www.gallup.unm.edu/~smarandache/euler-gn.t
it isn't always - it's only true for numbers which are not even and not multiples of 5...
As for why it's true otherwise, it's because of Fermat's Little Theorem and Euler's Totient Function...
Specifically, since the Totient of 10 is 4, any number which is coprime to 10 (i.e. not even and not a multiple of 5) when raised to a power of 4, yields a 1 in the units place, (i.e. N^4 = 1 mod 10 if gcd(N,10) = 1).
Since if a number is coprime to 10, then all its powers are coprime to 10, N^12 = (N^3)^4 also has a 1 in its units place.
Now N^13 = N*(N^12) will always have the same last digit as N, if N is coprime to 10.
Apparently, this took place over a long time... I didn't realise just how long it takes to shut down a government website... (or how quickly it goes from necessary and useful to redundant...)
m - they decide to cut funding, suggesting that the system be shut down.i cles/butler.html
m - decision to close... Comments invited...
= article&contentId=A17568-2002Nov20¬Found=tr ue - it's closed...
October 1999 http://www.pnl.gov/energyscience/11-99/art2.htm - PubScience opened.
http://arl.cni.org/info/frn/gov/pubscience02.html
2001 http://www.infotoday.com/newsbreaks/nb010709-1.ht
http://www.nature.com/nature/debates/e-access/Art
2002 http://www.infotoday.com/newsbreaks/nb020819-2.ht
2004 http://www.washingtonpost.com/ac2/wp-dyn?pagename
Anyone who doesn't understand the importance of abstractions is likely to get left behind.
Equally, anyone who comes to rely on abstractions as a crutch will almost certainly get left behind as well... Joel on Software puts it, and other software design principles very nicely...
the website claims twice the lumen output of a 100W bulb - where I shop that's 26W worth of compact fluorescent juice, vs the claimed 22W. As I see it, these guys have built a maintenance-free version of an energy-saver bulb - 5 times the working life, resistant to shock and weather, and just as efficient.
That's assuming that the website claims pan out...
You said
When there's a 2.6 that is actually useable on my system (crashes less than once every 30 mins) I'll believe that. But I don't think it's going to happen until 2.7 splits off.
The reality is more like
When there's a 2.6 that is actually useable on my system (crashes less than once every 30 mins) I'll believe that. 2.7 is not ready to split off until then.
Before:After:
is the touchpad a Synaptics or an ALPS Glidepoint? if so, there's an X driver for it...
http://www.openwatcom.org/?
Or something else?
http://www.thefreecountry.com/compilers/cpp.shtml
Hell, who needs a case?
who indeed?
It's a mystery...
or try some deep links...
1 877
4 431241
6 530489
http://www.morguefile.com/archive/?display=107839
http://www.morguefile.com/archive/?display=109531
http://www.morguefile.com/archive/?display=109626
If like me, it's not obvious to you how to proceed from that first page, try clicking the title image...
I'm usually not one to be a grammar nazi, but I suspect that when you said their reviews are objectionable, you meant something wildly different, like objective.
I only point it out because it is quite the opposite of what you said... an appropriate time to make a comment about "irony", so the real grammar nazi's can duke it out over that word instead...
for everyone else: he meant http://money.cnn.com/2004/01/21/technology/microso ft
Instructions for RH9 - should work anywhere...
The only dependency is on the allegro game library...
Trippy Tetris?
You want TOD!
Nice, expressive answer....
To be precise:
* it's not my spooler,
* I don't have, or even want, a GMail account,
* I simply think it's a nice idea, and
* I don't care if you donate any invites anyway.
if you have gmail invites to spare, consider donating some to the gmail-o-matic gmail invite spooler...
I'd think that they'd have the best reputation! ... except when they drop out unexpectedly in the middle of a call ...
Another interesting point - IBM actually runs Lotus WordPro internally. (The source file name for that PDF is LinuxChallenge-final 07.21.04.lwp)... While in an of itself that may not seem surprising, as IBM owns Lotus, it is interesting to not that this is a giant organisation which needs interoperability with thousands of other organisations, and they can still run an alternate office-suite...
Which bank does not allow you to make payments to other people? What is the point of online banking if you can only shuffle money between your own accounts.
Of the four banks with which I have bank accounts, all allow me to make payments to anyone else whose account details I know. I can also make SWIFT (i.e. international) transfers to any account worldwide, by providing branch SWIFT code and account number.
The only actions allowed are transferring money from one account to another
Like from your account to mine...