
Nick Hobson
21.3K posts

Nick Hobson
@quintic
Geeky lover of maths, science, language, history, programming, chess. Supporter of free speech, secularism, skepticism, and numerous Indian restaurants.
UK Katılım Şubat 2009
937 Takip Edilen473 Takipçiler


@crockpics Seven years to the day since their first television appearance.
beatlesbible.com/1962/08/22/liv…
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The Beatles' final photo session, August 22, 1969. Captured at John Lennon’s Tittenhurst Park estate, these images mark the final time John, Paul, George, and Ringo would ever be photographed together as a band. Photo by Ethan Russell. Taken just two days after their last recording session for Abbey Road

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Nick Hobson retweetledi

The deadly shooting in Minneapolis today was a straight-up execution of a protester by Trump's federal brownshirts.
The thugs wrestled him to the ground. They pistol-whipped him, then shot him multiple times. They murdered him.
The videos don't lie. A man is dead, killed in cold blood. There is no conceivable justification for this intentional homicide. And make no mistake, that intentional, unjustified homicide was committed on behalf of Donald J. Trump.
Trump's militarization of Minneapolis and other parts of our nation isn't about illegal immigration. It's not about enhancing public safety. It's about destroying any sense of that safety—to intimidate political opponents, and to punish dissent. It's about a corrupt, out-of-control regime's effort to provoke citizens in order to justify the violence it desires to commit against them so that it can expand and retain its power.
That is fascism. It is tyranny. It is governmental criminality.
And the ultimate legal check the Framers of our Constitution provided to stop this kind of tyranny and criminality in the executive branch is impeachment and removal of the executive.
Congress needs to do its job.
Now.
Before it's too late.
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@Bailyan12 In the order I discovered them:
Chrissie Hynde
Joni Mitchell
Dolores O'Riordan
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@Hoainguyen888 An amazing voice, indeed, but the years shown are way off.
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@KTrain939913 Happy birthday to Noel!
Dolores wrote the music herself for a fair number of their songs, including "Zombie". For many other songs, such as "Linger", Noel contributed the guitar chords and Dolores the melody and lyrics.
americansongwriter.com/how-the-cranbe…
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@mrB_1970 @Riazi_Cafe_en We're already dealing with quite an irregular rope where some sections burn faster than others! I think it's plausible that such a rope, which could have a non-uniform density along its length, would show small differences in burn rate depending on direction.
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@quintic @Riazi_Cafe_en Right, so as I initially said you would have to assume a rope where the burn time is different depending on the direction the flame is travelling. That does seem to go against common sense, but strictly speaking I guess it should be explicitly ruled out in the problem statement
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You have 2 ropes, each takes exactly 1 hour to burn completely, but they burn unevenly (some parts faster, some slower). With just these ropes and a lighter, how can you measure exactly 45 minutes?

Math Cafe@Riazi_Cafe_en
40 people line up to buy $5 tickets for Oppenheimer: 25 have $5 bills, 15 have $10 bills. The cashier starts with no money and must give $5 change whenever someone pays with a $10. In how many possible orders can this line form so the cashier never runs out of $5 bills?
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@mrB_1970 @Riazi_Cafe_en It does make sense, counterintuitive though it might seem!
Consider rope AB with X somewhere along the rope. Burn times in mins:
A to X: 29
X to B: 31
So A to B: 60
B to X: 29
X to A: 31
So B to A: 60
Lit at both ends, the flames meet at X after 29 mins.
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@quintic @Riazi_Cafe_en This makes no sense. How can all of a one hour rope burn in 29 minutes with two flames? After 29 minutes there will still be 2 minutes on the slower burning section, where two flames will meet after a further minute. Whatever you try, meeting must happen after 30 mins
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@mrB_1970 @Riazi_Cafe_en Take two ropes A1-B1 and A2-B2, where An to Bn takes 29 mins and Bn to An takes 31 mins.
Join B1 to B2 and the new rope will burn either end to the other end in 1 hour but only 29 mins when lit at both ends. Or join A1 to A2 and the new rope will take 31 mins lit at both ends.
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@quintic @Riazi_Cafe_en False conclusion. Join 29-min rope A to 31-min rope B, and light from both ends. After 29 min, one flame will have consumed A, and the other flame will still be on B, but then think what happens next. The A flame *continues* to the B rope and meets B flame after 1 min.
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@mrB_1970 @Riazi_Cafe_en Take two ropes, each of which takes 29 mins to burn in one direction and 31 mins in the other direction. I think that's plausible, given some asymmetry of construction.
Then join these two ropes. The new rope would take an hour either way, but 29 (or 31) mins lit at both ends.
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@quintic @Riazi_Cafe_en Your say that the burn time from X to B is 30 minutes. So, OK, you've got me, I am assuming that the burn time from B to X would also be 30 minutes. I suppose the burn rate on any section might be directionally-dependent but how then could it total 1 hour both ways?
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@mrB_1970 @Riazi_Cafe_en If we light one end, A, after 30 minutes the flame would reach a point, X, and then take a further 30 minutes to reach the other end, B. That's given in the problem statement. But we don't know that a flame lit at B would take 30 minutes to reach X. That's an assumption.
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@quintic @Riazi_Cafe_en I don't think you need any other assumptions to solve the problem. I think all you need is knowing that a flame at one end will proceed along the length turning any unburnt part into a burnt part and without interruption it will reach the other end in 1 hour.
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@StudyMaths What is the serious point? That multiplication is commutative?
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A slightly silly question, but with a serious point to make.
#1001MathsBots
mathsbot.com/tasks

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