- published: 08 Jun 2013
- views: 2124479
In linguistics, a numeral is a member of a word class (or sometimes even a part of speech) designating numbers, such as the English word 'two' and the compound 'seventy-seven'.
Numerals may be attributive, as in two dogs, or pronominal, as in I saw two (of them).
Many words of different parts of speech indicate number or quantity. Quantifiers do not enumerate, or designate a specific number, but give another, often less specific, indication of amount. Examples are words such as every, most, least, some, etc. There are also number words which enumerate but are not a distinct part of speech, such as 'dozen', which is a noun, 'first', which is an adjective, or 'twice', which is an adverb. Numerals enumerate, but in addition have distinct grammatical behavior: when a numeral modifies a noun, it may replace the article: the/some dogs played in the park → twelve dogs played in the park. (Note that *dozen dogs played in the park is not grammatical, so 'dozen' is not a numeral.)
Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.
The founder of the organization, Salman Khan, was born in New Orleans, Louisiana, United States to immigrant parents from Bangladesh and India. After earning three degrees from the Massachusetts Institute of Technology (a BS in mathematics, a BS in electrical engineering and computer science, and an MEng in electrical engineering and computer science), he pursued an MBA from Harvard Business School.
In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.
Brady John Haran (born 18 June 1976) is an Australian independent film-maker and video journalist who is known for his educational videos and documentary films produced for BBC News and for his YouTube channels, such as Numberphile and Periodic Videos.
Brady Haran studied journalism for a year before being hired by The Adelaide Advertiser. In 2002 he moved from Australia to Nottingham, United Kingdom. In Nottingham he worked for the BBC, began to work with film, and reported for East Midlands Today, BBC News Online and BBC radio stations.
In 2007, Haran worked as a filmmaker-in-residence for Nottingham Science City, as part of an agreement between the BBC and The University of Nottingham. His "Test Tube" project started with the idea of producing a documentary about scientists and their research, but he decided to upload his raw footage to YouTube; from that point "Periodic Videos" and "Sixty Symbols" were developed. Haran then left the BBC to work full-time making YouTube videos.
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at https://twitter.com/jamesgrime Regarding the equation at the end - James says it should be e^-t dt NOT e^-n dn ... sorry for the mix-up! Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran Brady's other channels include: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/numberphile (Numbers and maths) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the sce...
Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile This video features Matt Parker and James Grime - https://twitter.com/standupmaths and https://twitter.com/jamesgrime Videos by Brady Haran A run-down of Brady's channels: http://periodicvideos.blogspot.co.uk/2012/06/here-are-my-channels.html
Ten factorial is 10x9x8x7x6x5x4x3x2x1 - or six weeks! More links & stuff in full description below ↓↓↓ Featuring Dr James Grime, aka singingbanana. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
A bit about zero - including a discussion of its even-ness!? Featuring Dr James Grime (https://twitter.com/jamesgrime) and Professor Roger Bowley (University of Nottingham). Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Videos by Brady Haran Brady's other channels include: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/numberphile (Numbers and maths) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the scenes) http://www.youtube.com/foodskey (Food science) http://www.youtube.com/BackstageScience (Big science facilities) http://www.y...
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James . Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! Numberphile on Facebook: . Ten factorial is 10x9x8x7x6x5x4x3x2x1 - or six weeks! Featuring Dr James Grime, aka singingbanana. Website: Numberphile on . Zero Factorial - Numberphile 0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James .
Zero Factorial - Numberphile 0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James . BECAUSE I'M SO BORED IN MY HOUSE, I'VE DECIDED TO MAKE A VIDEO THAT WILL PROVE THAT 0! = 1 By the way, I am sorry if this short video has no . The video is about the common problem that how is zero factorial is 1. Why does 0! equal one? This is weird! Multiply together all the digits from one up to zero and get one??? This video explains simply why mathematicians choose .
Type 0.5! in your calculator to see what the factorial of one-half is. The result will be 0.886..., and the exact answer is the square root of pi divided by 2--amazing! How is this possible, when the factorial of a number n is defined as n! = n(n-1)(n-2)...1 and this definition only makes sense for whole numbers? The calculator result is not an error, and in this video I explain how the factorial can be extended beyond the whole numbers for all real numbers by the gamma function. Once we extend the factorial function beyond whole numbers, you can see why the factorial of one-half is equal to the square root of pi divided by 2. Bohr-Mollerup theorem http://en.wikipedia.org/wiki/Bohr%E2%80%93Mollerup_theorem Applications https://www.math.washington.edu/~morrow/336_10/papers/joel.pdf Nume...
Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimevideos NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occ...
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutations-and-combinations-1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/possible-three-letter-words?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probab...
The video is about the common problem that how is zero factorial is 1
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at https://twitter.com/jamesgrime Regarding the equation at the end - James says it should be e^-t dt NOT e^-n dn ... sorry for the mix-up! Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran Brady's other channels include: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/numberphile (Numbers and maths) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the sce...
Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile This video features Matt Parker and James Grime - https://twitter.com/standupmaths and https://twitter.com/jamesgrime Videos by Brady Haran A run-down of Brady's channels: http://periodicvideos.blogspot.co.uk/2012/06/here-are-my-channels.html
Ten factorial is 10x9x8x7x6x5x4x3x2x1 - or six weeks! More links & stuff in full description below ↓↓↓ Featuring Dr James Grime, aka singingbanana. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
A bit about zero - including a discussion of its even-ness!? Featuring Dr James Grime (https://twitter.com/jamesgrime) and Professor Roger Bowley (University of Nottingham). Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Videos by Brady Haran Brady's other channels include: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/numberphile (Numbers and maths) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the scenes) http://www.youtube.com/foodskey (Food science) http://www.youtube.com/BackstageScience (Big science facilities) http://www.y...
0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James . Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! Numberphile on Facebook: . Ten factorial is 10x9x8x7x6x5x4x3x2x1 - or six weeks! Featuring Dr James Grime, aka singingbanana. Website: Numberphile on . Zero Factorial - Numberphile 0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James .
Zero Factorial - Numberphile 0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James . BECAUSE I'M SO BORED IN MY HOUSE, I'VE DECIDED TO MAKE A VIDEO THAT WILL PROVE THAT 0! = 1 By the way, I am sorry if this short video has no . The video is about the common problem that how is zero factorial is 1. Why does 0! equal one? This is weird! Multiply together all the digits from one up to zero and get one??? This video explains simply why mathematicians choose .
Type 0.5! in your calculator to see what the factorial of one-half is. The result will be 0.886..., and the exact answer is the square root of pi divided by 2--amazing! How is this possible, when the factorial of a number n is defined as n! = n(n-1)(n-2)...1 and this definition only makes sense for whole numbers? The calculator result is not an error, and in this video I explain how the factorial can be extended beyond the whole numbers for all real numbers by the gamma function. Once we extend the factorial function beyond whole numbers, you can see why the factorial of one-half is equal to the square root of pi divided by 2. Bohr-Mollerup theorem http://en.wikipedia.org/wiki/Bohr%E2%80%93Mollerup_theorem Applications https://www.math.washington.edu/~morrow/336_10/papers/joel.pdf Nume...
Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimevideos NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occ...
Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutations-and-combinations-1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/possible-three-letter-words?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probab...
The video is about the common problem that how is zero factorial is 1
Vote for Vsauce in the WEBBYS! https://pv.webbyawards.com/2016/online-film-video/video-channels-and-networks/science-education Sources and links to learn more below! I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it. I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin. And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, i...
Dividing by zero, zero divided by zero and zero to the power of zero - all pose problems! Numberphile on Facebook: . 0! = 1 Dr James Grime tries to explain why this is the case - follow James on Twitter at Regarding the equation at the end - James . Discussing the brain-bending Grandi's Series and Thomson's Lamp - featuring Dr James Grime. A little bit of extra footage from the very end of this interview at: . A bit about zero - including a discussion of its even-ness!? Featuring Dr James Grime ( and Professor Roger Bowley (University of .
Alan's album on iTunes: http://bit.ly/1sdwTHF Subscribe to alankey86 - http://www.youtube.com/user/AlanKey86 Links to videos mentioned are below. Alan Stewart makes music for many of Brady's videos, including here on Numberphile. In this video he explains some of his compositions. SOME VIDEOS MENTIONED IN THE VIDEO (roughly in order): Pi with Pies: http://youtu.be/ZNiRzZ66YN0 Good Will Hunting: http://youtu.be/iW_LkYiuTKE Caesium Slo Mo: http://youtu.be/D4pQz3TC0Jo Dragon Curve: http://youtu.be/NajQEiKFom4 Everest Boiling: http://youtu.be/JTL4dj3Gx1o Rubiks Cube Solves: http://youtu.be/tivvYl8ZRvA Fibonacci Tartan: http://youtu.be/e4sF_Z5oJek Phi Heavy Metal: http://youtu.be/nBgQPSUTWVM Phil's Pi Sounds: http://youtu.be/wPn4tgmU8ek Messier's Grave: http://youtu.be/W3-hwKQqy0I Website: ...
Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels
Brady just talks about whatever... Brady's channels: http://www.youtube.com/periodicvideos (Chemistry stuff) http://www.youtube.com/sixtysymbols (Physics and astronomy) http://www.youtube.com/computerphile (Computer stuff) http://www.youtube.com/numberphile (Numbers and maths) http://www.youtube.com/DeepSkyVideos (Space stuff) http://www.youtube.com/nottinghamscience (Science and behind the scenes) http://www.youtube.com/foodskey (Food science) http://www.youtube.com/BackstageScience (Big science facilities) http://www.youtube.com/favscientist (Favourite scientists) http://www.youtube.com/bibledex (Academic look at the Bible) http://www.youtube.com/wordsoftheworld (Modern language and culture) http://www.youtube.com/PhilosophyFile (Philosophy stuff) http://www.youtube.com/PsyFile (Psychol...
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Videos by Brady Haran Brown papers: http://bit.ly/brownpapers A run-down of Brady's channels: http://bit.ly/bradychannels
Here is the biggest (?) unsolved problem in maths. The Riemann Hypothesis. Prime Number Theorem: Fermat's Last Theorem: . L-Functions are likely play a key role in proving the Riemann Hypothesis, says Professor Jon Keating from the University of Bristol. L-Function & Modular Form . The Riemann Hypothesis is one of the Millennium Prize Problems and has something to do with primes. What's that all about? Rather than another hand-wavy . Okay, the links. 1. New vid on the Riemann Hypothesis explains where -1/12 comes from: 2.The original videos at .
The science of Star Trek has, in the past, been discussed in great detail - but what about the maths of Star Trek? Star Trek: The Original Series contains a surprising amount of mathematics, including; the probability we are alone in universe; a paradox that upset 20th century mathematicians as well as 23rd century androids; and the most important question of all -- when on a dangerous away mission, does the colour of your shirt really affect your chances of survival? Mathematician James Grime is joined by the relatively normal Stuart Laws as they discuss new vs old Star Trek. More from Stuart Laws http://youtube.com/turtlecanyoncomedy http://twitter.com/thisstuartlaws More from James Grime http://youtube.com/singingbanana http://twitter.com/jamesgrime Full article by James Grime her...
Games shown at double speed! Main video is at: http://youtu.be/00Qu1kgsGpM Music by Alan Stewart who now has an album (highly recommend): http://bit.ly/1sdwTHF PLAY THE GAME: http://bit.ly/2048num
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