Lattice points visible from the origin « The Lumber Room [A test of LaTeX-to-Wordpress conversion. Bugs remain, point them out. Original PDF] Here is a problem I love. [The solution is not mine. Question. Let us first imagine that we are standing at the origin, and that the grid is that of the lattice (integer) points. The blue points are visible; the grey points are not We now want to examine the question of which pairs are visible from the origin. not visible? is not visible because the point is "in the way", and the point obscures it. is not visible precisely when there is another lattice point blocking it, which is when there is an integer pair such that . is not visible precisely when there is an integer dividing both and , and is visible when there is no such integer, i.e. when have no common factor. For two "random" integers and , what is the probability that they have no common factor? For this to happen, it must be the case that no prime number divides both . , the probability that is divisible by is , and the same for , and so the probability that .
Detailed logarithmic timeline This timeline shows the whole history of the universe, the Earth, and humanity in one table. Each row is defined in years ago, that is, years before the present date, with the earliest times at the top of the chart. In each table cell on the right, references to events or notable people are given, more or less in chronological order within the cell. Each row corresponds to a change in log(time before present) of about 0.1 (using log base 10), similar to Renard numbers. A logarithmic timeline can also be devised for events which should occur in the future, barring unforeseen circumstances and assuming that we can extrapolate into the future based on our science. See also[edit] References[edit] External links[edit]
Onze documentários para construir um novo olhar sobre a questão ambiental Documentários que vão te fazer repensar seu papel no meio ambiente, o impacto de suas ações e impelir mudanças em seus hábitos Como dizia o ditado, "uma imagem vale mais do que mil palavras”. Documentários, apesar de terem a premissa de retratarem a "realidade", também são filmes e, portanto, construções audiovisuais que a mostram a partir de certos pontos de vista. Mesmo assim, eles podem ter o poder de sensibilizar o espectador ao mesmo tempo em que informam. Existem grandes documentários sobre causas ambientais e aqui você irá conferir uma lista de alguns deles: O Sal da Terra (2014) O documentário, dirigido pelo alemão Wim Wenders e pelo brasileiro Juliano Salgado, retrata a trajetória do renomado fotojornalista Sebastião Salgado. Koyaanisqatsi (1982) Na língua hopi, Koyaanisqatsi significa "vida maluca, vida em turbilhão, vida fora de equilíbrio, vida se desintegrando, um estado de vida que pede uma outra maneira de se viver". Home (2009) 2012 - Time for Change (2010) Virunga (2014)
Planets From Hell - How the Universe Works Documentary | HD 720p Kardashev scale Measure of a civilization's evolution The Kardashev scale (Russian: Шкала́ Кардашёва, romanized: Shkalá Kardashova) is a method of measuring a civilization's level of technological advancement based on the amount of energy it is capable of harnessing and using. The measure was proposed by Soviet astronomer Nikolai Kardashev (1932–2019)[1] in 1964[2] and was named after him. The scale is hypothetical, and refers to energy consumption on a cosmic scale. Kardashev first outlined his scale in a paper presented at the 1964 Byurakan conference in Armenia, a scientific meeting that reviewed the Soviet radio astronomy space listening program. A Type I civilization is able to access all the energy available on its planet and store it for consumption. A number of scientists have conducted searches for possible civilizations, but with no conclusive results.[8] However, in part thanks to such searches, unusual objects, now known to be either pulsars or quasars, were identified.[9] [edit] For L. where
Resistance: The Movie That Will Make You Care About Antibiotic Misuse A few years ago I happened to get introduced to a pair of filmmakers, Michael Graziano and Ernie Park, who were starting to explore the topic of antibiotic resistance. They had the same questions about resistance that I obsess over, and the same shock about how enormous the problem is: according to a recent estimate, 700,000 deaths every year, likely to rise into the millions if nothing is done. They recognized their disbelief as the creative spark for a project, and three years later, have brought out Resistance, a documentary now available on iTunes. LV Anderson just said about it, in Slate: Regardless of your preexisting interest in public health or food politics, once you learn a little about antibiotic abuse, you won’t be able to stop caring about it. I think Resistance is a fantastic exploration of the problem, but I am likely to be biased, because I am in it. Here’s an edited chat with Michael Graziano about making the film. Turns out my calculations were wrong. Go Back to Top.
Into The Universe With Stephen Hawking: Aliens Technological singularity Hypothetical point in time when technological growth becomes uncontrollable and irreversible The technological singularity—or simply the singularity[1]—is a hypothetical future point in time at which technological growth becomes uncontrollable and irreversible, resulting in unforeseeable consequences for human civilization.[2][3] According to the most popular version of the singularity hypothesis, I. J. Good's intelligence explosion model of 1965, an upgradable intelligent agent could eventually enter a positive feedback loop of self-improvement cycles, each new and more intelligent generation appearing more and more rapidly, causing a rapid increase ("explosion") in intelligence which would ultimately result in a powerful superintelligence, qualitatively far surpassing all human intelligence.[4] Intelligence explosion [edit] I. Let an ultraintelligent machine be defined as a machine that can far surpass all the intellectual activities of any man however clever. In 1965, I. Frank S. J.
Global Restoration Network » Video/Audio Planet Earth: The Complete BBC Series You’ll be filled with awe and amazement every time you watch this stunning BBC series about our planet’s best-loved, wildest and most elusive creatures, captured on breathtaking, high-definition film in the Earth’s most extreme habitats. Forty cameramen and hundreds of producers, scientists and guides spent four years and $25 million to bring you this God’s-eye-view of rare action and intimate moments in impossible locations. Earth on EdgeFilmed in collaboration with the World Resources Institute, this PBS/Bill Moyers program assesses the state of the environment. The Long Emergency: Surviving the Converging Catastrophes of the 21st Century A five-part video series exploring the past, the present, and the quite possibly chaotic future of the industrial period. Hope in a Changing ClimateWhat is ecological restoration?
The Universe - How Big, How far, How fast - Documentary | HD 720p Ray Kurzweil Raymond "Ray" Kurzweil (/ˈkɜrzwaɪl/ KURZ-wyl; born February 12, 1948) is an American author, computer scientist, inventor, futurist, and is a director of engineering at Google. Aside from futurology, he is involved in fields such as optical character recognition (OCR), text-to-speech synthesis, speech recognition technology, and electronic keyboard instruments. He has written books on health, artificial intelligence (AI), transhumanism, the technological singularity, and futurism. Kurzweil was the principal inventor of the first CCD flatbed scanner,[2] the first omni-font optical character recognition,[2] the first print-to-speech reading machine for the blind,[3] the first commercial text-to-speech synthesizer,[4] the Kurzweil K250 music synthesizer capable of simulating the sound of the grand piano and other orchestral instruments, and the first commercially marketed large-vocabulary speech recognition.[5] Life, inventions, and business career[edit] Early life[edit] Mid-life[edit]
The Top 100 Documentaries We Can Use to Change the World By Films For Action / filmsforaction.org/ Jun 10, 2015 Documentaries have an incredible power to raise awareness and create transformative changes in consciousness both at the personal and global levels. Over the last 8 years, we've watched hundreds of social change documentaries and cataloged the best of them on the site. There's now so many that we realized we needed to filter this down even further. So what follows is our list of the very best 100 - hand-picked for their quality, insight and potential to inspire positive change. All of the films have been selected because they are either free to watch online, or can be rented online. Did we miss anything really good?
History Channel The Universe Backyard Astronomers Part 1 of 6 Futurist Futurists or futurologists are scientists and social scientists whose specialty is futurology, or the attempt to systematically explore predictions and possibilities about the future and how they can emerge from the present, whether that of human society in particular or of life on Earth in general. Definition[edit] The term "futurist" most commonly refers to authors, consultants, organizational leaders and others who engage in interdisciplinary and systems thinking to advise private and public organizations on such matters as diverse global trends, possible scenarios, emerging market opportunities and risk management. (Futurist is not in the sense of the art movement futurism.) Visionary writers such as Jules Verne, Edward Bellamy and H. Futures studies[edit] "Futures studies"—sometimes referred to as futurology, futures research, and foresight—can be summarized as being concerned with "three P's and a W", i.e. Futurists and futurology[edit] Notable futurists[edit] See also[edit]