The travelling salesman problem is a single step solution with a quantum model. Similarly to which path a quanta will take within photosynthesis, in a quantum model all possibilities are tried simultaneously in a single step.
I don't think this is true. There are quantum algorithms that are faster than the classical solution, at least for a subset of Traveling Salesman Problems, but they are by no means "a single step." Indeed, I believe the TSP algorithms use Grover's algorithm for quantum search, which has minimum complexity O(sqrt(N)).
I think what matters most is the traveling salesman choice of travel mode:bike, horse, car, plane, hot air balloon, boat along canals or rivers, motorcycle, skiing, etc. :)
Light usually takes the shortest path but it really takes a stationary path. Consider light going down a fibre optic, it actually takes the local longest path.
what is calculus? I got a B in GCSE maths and I never heard of calculus. I keep hearing people talk about it as if it's the most common and well known thing in the world, why is that?
Light takes a curved path cause it can go faster that way? Great mathematics talk here; wobbly physics. How about, "light always finds the shortest path?"
@NeilHunny No. The "curved path" that light takes is the shortest path. It is also a straight path, from the standpoint of the light, which proceeds at a constant velocity (no speed change, no turning) (assuming we're in a vacuum). It is spacetime itself that is curved, and what you see as light "curving" around a gravitational lens is light following the shortest path in that curved spacetime. This is analogous to an airplane following a great circle route. The plane flies straight along the shortest path, which just happens to look like curve when you plot it on a flat map.
Happy belated pi day brother did you know that it was Einsteins birthday and also the anniversary of Stephen Hawkins passing both went out at 76 and apparently Stephen received his Einstein award in 76. 76 - 21 = 55 also born 10/8 in 1942
Thank you for an enlightening tail of maths and shortcut as a key motivation. I would like to point out, however, that algebra was not invented by the Arabs, even though the name is suggestive. Muhammad ibn Musa al-Khwarizmi is known as the "Father of algebra". He was a Persian mathematician who wrote a book named Kitab Al Muhtasar fi Hisab Al Gabr Wa I Muqabala in the Arabic language, which was later translated into English as " The Compendious Book on Calculation by Completion and Balancing", from which the word ALGEBRA was derived. At the time, arabic was the scientific language and written work in that language should not be confuses with its source.
If the universe started from 0, then it could continue to the 0.0. But common math doesn't teach about the difference between 0 and 0.0 correctly. I could use real mathematics to calculate the birth of the universe.
Hmm. mathematics, art of shortcuts. you mentioned Egyptian, Babylonian to Newton but there is not a single mention of zero (0) ,an Indian invention. It is an efficient shortcut of memorising, representing and calculating large number sets. Strange.............
Yaaaay, more perspective jumps and thus another video I can't watch, regardless of how interesting the topic is. Sucks to have special needs. Put in some flashing lights next time to keep the epileptics out as well.
@Audrey right, this is actually the third time or so I make that remark, so, excuse me for having assumed some snarkiness by now, but of course let me explain the issue and thank you for your interest. Assume you just have a person talking into 1 camera. There's no problem. And that's what I recommend doing. However here, you have multiple cameras and though the talk is fluent, for some reason the video cuts between the various cameras. Look from the side, look from the front and so on. Now I have aspergers (&ADHD) and consequently sensory related issues. These can very from person to person. However a second factor which is quite common is that aspies are quite susceptible to interruptions. So for me what happens is that I listen to what the person is saying and thus I focus. Now the camera cuts to another angle and that is enough of an interruption to throw me off. For one it just cuts off my concentration, but it also causes stress. So if I were to watch this in full, I wouldn't remember what he said, yet be pretty stressed out. Imagine it as if you were to concentrate on solving a math problem and occasionally get slapped into the face. The disruption is similar. There are a lot of "artsy" ways to "ramp up the editing quality". These perspective jump-cuts seem to be the latest trend. Some people employ a battle-star-galactica like shakycam effect. Others go for a lot of flashes. All these are problematic for the same reason: What the camera does interferes with what your focus does or (over-)stimulates the wrong senses. For myself, when I was younger, I could compensate for that a bit more. Now that I'm getting older, I get more susceptible to it. Now the RI is one of the best places for free eduction in the world, bringing the brightest minds in sciece to the everyday person. Frankly, you do not need fancy editing techniques to make the video more "engaging" or what the latest buzzword is. The only thing that does is exclude people with sensory special needs. I hope that explains it enough, but please ask, if you have follow-up questions.
@@krotenschemel8558 not "special needs" imo, -albeit a minority of the populus experiencing sensory processing that is elevated ;from that of allistics, -the neurodivergent contingent is a feature of humanity (but) I hear whut' you are saying so to speak,✌️
Sounds like you had an awesome math teacher, we need more of those in this world.
Exactly!
The classic "mathematicians are lazy" and have spent 2000 years of hard work being as lazy as possible.
Nice energetic video - enjoyed it.
The travelling salesman problem is a single step solution with a quantum model. Similarly to which path a quanta will take within photosynthesis, in a quantum model all possibilities are tried simultaneously in a single step.
I don't think this is true. There are quantum algorithms that are faster than the classical solution, at least for a subset of Traveling Salesman Problems, but they are by no means "a single step." Indeed, I believe the TSP algorithms use Grover's algorithm for quantum search, which has minimum complexity O(sqrt(N)).
I think what matters most is the traveling salesman choice of travel mode:bike, horse, car, plane, hot air balloon, boat along canals or rivers, motorcycle, skiing, etc. :)
Math is like reading. The ones who are any good at all wanted to be good at it. The rest just saw it as an annoyance at school.
Great examples
Thanks for sharing your experience with all of us 👍😀
great explanation of p vs np, without even mentioning p vs np
Aaaaah the lecture that got me to think about the brachystochrone problem. Good times. Got me busy for months, so much fun
Is the brachystochrone problem an issue of dinosaur old age?
@@Neilhuny yes, 1696
Light usually takes the shortest path but it really takes a stationary path. Consider light going down a fibre optic, it actually takes the local longest path.
Will definitely check out the book from my library when it gets it. Hope the RI lecture he mentions at the end will be available soon?
thank you 🖤
Fantastic!
The factorial symbol ! Was made because a mathematician was tired of writing it all out each time
The joke is that Gauss actually summed the whole series of numbers without taking the short cut.
There are also 49 pairs of numbers that add up to 100 giving us 4900. 100 and 50 are left over. That makes 5050.
what is calculus? I got a B in GCSE maths and I never heard of calculus. I keep hearing people talk about it as if it's the most common and well known thing in the world, why is that?
Mathematics is indefinite when your only looking at a portion of a larger whole.
Isn't that story about Euler?
I've told that story about Leibniz, Newton, Einstein, Fourier and Laplace. The story isn't true anyhow, so using whomever is not important.
Ok I'll bite. Before you go on with the video, I immediately figured that 1+99=100, 2+98=100, so I guess the answer is 4950? now I continue watching.
ah, I see, you wanted us to include the 100 itself. well I would say my answer was right anyway considering my starting assumption.
ah, so I'm not lazy...I'm a mathematician, good to know.
Gauss…. Se non e vero, ė molto ben trovato!
Light takes a curved path cause it can go faster that way? Great mathematics talk here; wobbly physics. How about, "light always finds the shortest path?"
The shortest path doesn't explain gravitational lensing which a curved path does
@NeilHunny No. The "curved path" that light takes is the shortest path. It is also a straight path, from the standpoint of the light, which proceeds at a constant velocity (no speed change, no turning) (assuming we're in a vacuum). It is spacetime itself that is curved, and what you see as light "curving" around a gravitational lens is light following the shortest path in that curved spacetime. This is analogous to an airplane following a great circle route. The plane flies straight along the shortest path, which just happens to look like curve when you plot it on a flat map.
Happy belated pi day brother did you know that it was Einsteins birthday and also the anniversary of Stephen Hawkins passing both went out at 76 and apparently Stephen received his Einstein award in 76. 76 - 21 = 55 also born 10/8 in 1942
Thank you for an enlightening tail of maths and shortcut as a key motivation. I would like to point out, however, that algebra was not invented by the Arabs, even though the name is suggestive. Muhammad ibn Musa al-Khwarizmi is known as the "Father of algebra". He was a Persian mathematician who wrote a book named Kitab Al Muhtasar fi Hisab Al Gabr Wa I Muqabala in the Arabic language, which was later translated into English as " The Compendious Book on Calculation by Completion and Balancing", from which the word ALGEBRA was derived. At the time, arabic was the scientific language and written work in that language should not be confuses with its source.
If the universe started from 0, then it could continue to the 0.0. But common math doesn't teach about the difference between 0 and 0.0 correctly. I could use real mathematics to calculate the birth of the universe.
Hmm. mathematics, art of shortcuts. you mentioned Egyptian, Babylonian to Newton but there is not a single mention of zero (0) ,an Indian invention. It is an efficient shortcut of memorising, representing and calculating large number sets. Strange.............
@2:20 "... in the 2000 years we've been doing mathematics"
Really?
The real shortcut is ignoring 20, 000 + years of mathematics history.
😄
We have a new shortcut. How long can a woke math professor talk before bringing out the wokeness? 30 minutes.
fail! But at least he didn't blame the climate.
Yaaaay, more perspective jumps and thus another video I can't watch, regardless of how interesting the topic is. Sucks to have special needs.
Put in some flashing lights next time to keep the epileptics out as well.
You can always listen.
@Audrey right, this is actually the third time or so I make that remark, so, excuse me for having assumed some snarkiness by now, but of course let me explain the issue and thank you for your interest.
Assume you just have a person talking into 1 camera. There's no problem. And that's what I recommend doing.
However here, you have multiple cameras and though the talk is fluent, for some reason the video cuts between the various cameras.
Look from the side, look from the front and so on.
Now I have aspergers (&ADHD) and consequently sensory related issues. These can very from person to person. However a second factor which is quite common is that aspies are quite susceptible to interruptions.
So for me what happens is that I listen to what the person is saying and thus I focus. Now the camera cuts to another angle and that is enough of an interruption to throw me off. For one it just cuts off my concentration, but it also causes stress. So if I were to watch this in full, I wouldn't remember what he said, yet be pretty stressed out.
Imagine it as if you were to concentrate on solving a math problem and occasionally get slapped into the face. The disruption is similar.
There are a lot of "artsy" ways to "ramp up the editing quality". These perspective jump-cuts seem to be the latest trend. Some people employ a battle-star-galactica like shakycam effect. Others go for a lot of flashes. All these are problematic for the same reason: What the camera does interferes with what your focus does or (over-)stimulates the wrong senses. For myself, when I was younger, I could compensate for that a bit more. Now that I'm getting older, I get more susceptible to it.
Now the RI is one of the best places for free eduction in the world, bringing the brightest minds in sciece to the everyday person. Frankly, you do not need fancy editing techniques to make the video more "engaging" or what the latest buzzword is. The only thing that does is exclude people with sensory special needs.
I hope that explains it enough, but please ask, if you have follow-up questions.
@@krotenschemel8558 not "special needs" imo, -albeit a minority of the populus experiencing sensory processing that is elevated ;from that of allistics,
-the neurodivergent contingent is a feature of humanity (but) I hear whut' you are saying so to speak,✌️