Application Of Volume & Salt Conservation: Estuarine Circulation: Fill & Download for Free

Machine learning algorithms are being used in lots of places in interesting ways. It's becoming increasingly ubiquitous with more and more applications in places where we cannot even think of.Couple of simple (trivial) applications of Machine Learning with high impactAnomaly detection : Machine Learning (ML) are at play to flag any malpractice in very high volume high frequency data transactions / communications. ML powered systems can now detect a possible insider trading in a stock market, also ML can flag a rogue customer transaction as a fraudulent transaction in high volume business doing market place websites.Anomaly detection is not that simple as black sheep identificationClassification: When you are adding a question in Quora, it gets tagged to few topics automatically, you wondered how? Yes, Machine Learning. The same classification (or topic modelling) algorithms are behind how news articles from thousands of sources gets neatly segregated under topics in Google News or any major news aggregating portals.If you are interested in some not so simple applications you can read thisSix Novel Machine Learning ApplicationsTo quote from this link, ML applied to problems like predicting hospital readmissions, predicting strokes / heart failure / wait time etc... interesting read...In the ’90s and 2000s, software and the internet transformed the way that companies do business. Cutting-edge, tech-savvy companies such as Amazon and Google grew rapidly. Old, stodgy companies like Blockbuster and Borders failed to keep up.In the 2010s and 2020s, powerful analytics and machine learning are transforming industries again, just as software transformed the world over the past 30 years.Thanks for the A2A SivaPrakasam NagarajanReferencesU.S. SEC's newest enforcement weapon: powerful softwarePatent US20050060312 - Systems and methods for improving the ranking of news articlesHow does Google News automatically categorize articles into Tech/Science/Health/Entertainment/etc?

Triple integral is an integral that only integrals a function which is bounded by 3D region with respect to infinitesimal volume.A volume integral is a specific type of triple integral.Physical Applications of Triple Integrals :volume of sphere

The universe is overwhelmingly big, and the objects within it astoundingly massive. Let me take you on a little journey.Pluto & the MoonIt takes 5.61 times the mass of Pluto to get the same mass as the Moon. In terms of volume, however, Pluto fits into the Moon 3.15 times (2.33 times with sphere packing, which is the optimal way to pack spheres).Image source: Smithsonian National Air and Space Museum (edited to show a high resolution image of Pluto)Mass of Pluto: 1.31 × 10[math]^{22}[/math] kgMass of the Moon: 7.35 × 10[math]^{22}[/math] kgRadius of Pluto: 1,188 kmRadius of the Moon: 1,737 kmThe Moon & EarthIt takes 81.3 times the mass of the Moon to get the same mass as the Earth. In terms of volume, the Moon fits into Earth 49.3 times (36.51 times with sphere packing).Image source: Universe Today (edited)Mass of the Moon: 7.35 × 10[math]^{22}[/math] kgMass of the Earth: 5.97 × 10[math]^{24}[/math] kgRadius of the Moon: 1,737 kmRadius of the Earth: 6,371 kmEarth & JupiterIt takes 317.83 times the mass of the Earth to get the same mass as Jupiter. In terms of volume, the Earth fits into Jupiter 1,320 times (977.43 times with sphere packing).Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of the Earth: 5.97 × 10[math]^{24}[/math] kg (1 M[math]_{⊕}[/math])Mass of Jupiter: 1.90 × 10[math]^{27}[/math] kg (317.83 M[math]_{⊕}[/math])Radius of the Earth: 6,371 kmRadius of Jupiter: 69,911 kmJupiter & the SunIt takes 1047.58 times the mass of Jupiter to get the same mass as the Sun. In terms of volume, Jupiter fits into the Sun 990 times (733.08 times with sphere packing).Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of Jupiter: 1.90 × 10[math]^{27}[/math] kg (1 M[math]_{♃}[/math])Mass of the Sun: 1.99 × 10[math]^{30}[/math] kg (1047.58 M[math]_{♃}[/math])Radius of Jupiter: 69,911 kmRadius of the Sun: 695,500 kmThe Sun & VY Canis MajorisIt takes 17 ± 8 times the mass of the Sun to get the same mass as VY Canis Majoris—one of the largest known stars (though not the most massive one by far). In terms of volume, the Sun fits into VY Canis Majoris about 2.86 billion times! With sphere packing, the Sun fits into VY Canis Majoris 2.12 billion times.Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of the Sun: 1.99 × 10[math]^{30}[/math] kg (1 M[math]_{☉}[/math])Mass of VY Canis Majoris: 17 M[math]_{☉}[/math]Radius of the Sun: 695,500 km (1 R[math]_{☉}[/math])Radius of VY Canis Majoris: 1,420 R[math]_{☉}[/math]VY Canis Majoris & Sagittarius A*It takes 253,529.41 times the mass of VY Canis Majoris to get the same mass as Sagittarius A*, the supermassive black hole at the center of the Milky Way. In terms of volume, however, Sagittarius A* actually fits into VY Canis Majoris about 466,312 times!*Sagittarius is supermassive but very compact; its singularity may be compressed to a point, but its so-called Schwarzschild radius—the radius beyond which all paths lead to the singularity—is about 12.4 million km, which is 18.31 times the size of the Sun.* This is just to illustrate the differences in size, because in actuality if you “place” anything within the Schwarzschild radius of Sagittarius A*, it will gain mass and its Schwarzschild radius will expand proportionally, thus requiring more and more “VY Canum Majoris” to fill the volume of Sagittarius A* .Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of VY Canis Majoris: 17 M[math]_{☉}[/math]Mass of Sagittarius A*: 4.31 million M[math]_{☉}[/math]Radius of VY Canis Majoris: 1,420 R[math]_{☉}[/math]Schwarzschild radius of Sagittarius A*: 12.74 million (18.31 R[math]_{☉}[/math])Sagittarius A* & TON 618It takes 15,313.22 times the mass of Sagittarius A* to get the same mass as TON 618, which is the current record holder for the most massive supermassive black hole (sometimes referred to as an ultramassive black hole). In terms of volume, Sagittarius A* fits into TON 618 about 3.59 × 10[math]^{12}[/math] (3.59 trillion) times!Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of Sagittarius A*: 4.31 million M[math]_{☉}[/math]Mass of TON 618: 66 billion M[math]_{☉}[/math]Schwarzschild radius of Sagittarius A*: 12.74 million (18.31 R[math]_{☉}[/math])Schwarzschild radius of TON 618: 195.02 billion km (280.32 R[math]_{☉}[/math])TON 618 & the Milky WayIt takes 22.73 times the mass of TON 618 to get the same mass as the Milky Way. In terms of volume, TON 618 fits into the Milky Way about 2.14 × 10[math]^{17}[/math] (214 quadrillion) times.Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of TON 618: 66 billion M[math]_{☉}[/math]Mass of the Milky Way: 0.8–1.5 × 10[math]^{12}[/math] (0.8–1.5 trillion) M[math]_{☉}[/math]Schwarzschild radius of TON 618: 195.02 billion km (280.32 R[math]_{☉}[/math])Radius of the Milky Way: 50,000 light-years (thickness of 1,000 light-years)The Milky Way & Malin 1It takes 6.67–12.5 times the mass of the Milky Way to get the same mass as Malin 1. Malin 1 is one of the largest known galaxies.[1][1][1][1] In terms of volume, the Milky Way fits into Malin 1 about 1,268 times.Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of the Milky Way: 0.8–1.5 × 10[math]^{12}[/math] (0.8–1.5 trillion) M[math]_{☉}[/math]Mass of Malin 1: 10[math]^{12}[/math] (10 trillion) M[math]_{☉}[/math]Radius of the Milky Way: 50,000 light-years (thickness of 1,000 light-years)Radius of Malin 1: 325,000 light-years (thickness of 30,000 light-years)Malin 1 & the Laniakea SuperclusterIt takes 10,000 times the mass of Malin 1 to get the same mass as the Laniakea Supercluster, which is the 8th largest supercluster (a large group of galaxy clusters and/or galaxy groups), and the supercluster that contains the Local Group, which is a galaxy group that is home to the Milky Way. In terms of volume, Malin 1 fits into the Laniakea Supercluster about 7.40 billion times!Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of Malin 1: 10[math]^{12}[/math] (10 trillion) M[math]_{☉}[/math]Mass of the Laniakea Supercluster: 10[math]^{17}[/math] (100 quadrillion) M[math]_{☉}[/math]Radius of Malin 1: 325,000 light-years (thickness of 30,000 light-years)Radius of the Laniakea Supercluster: 260 million light-yearsThe Laniakea Supercluster & the Hercules–Corona Borealis Great WallIt takes 200 times the mass of the Laniakea Supercluster to get the same mass as the Hercules–Corona Borealis Great Wall, which is the largest known structure in the universe. In terms of volume, the Laniakea Supercluster fits into the Hercules–Corona Borealis Great Wall 3.06 times.Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of the Laniakea Supercluster: 10[math]^{17}[/math] (100 quadrillion) M[math]_{☉}[/math]Mass of the Hercules–Corona Borealis Great Wall: 2 × 10[math]^{19}[/math] (20 quintillion) M[math]_{☉}[/math]Radius of the Laniakea Supercluster: 260 million light-yearsDimensions of the Hercules–Corona Borealis Great Wall: 10 billion light-years × 150 million light-years × 150 million light-yearsHercules–Corona Borealis Great Wall & the observable universeIt takes 7,543.62 times the mass of the Hercules–Corona Borealis Great Wall to get the same mass as the observable universe. In terms of volume, the Hercules–Corona Borealis Great Wall fits into the observable universe 2,099,000 times.Images copyright © 2018 Martin Silvertant. All rights reserved.Mass of the Hercules–Corona Borealis Great Wall: 2 × 10[math]^{19}[/math] (20 quintillion) M[math]_{☉}[/math]Mass of the observable universe: 3 × 10[math]^{53}[/math] kg (1.5 × 10[math]^{23}[/math] M[math]_{☉}[/math][2])Dimensions of the Hercules–Corona Borealis Great Wall: 10 billion light-years × 150 million light-years × 150 million light-yearsRadius of the observable universe: 46.51 billion light-yearsHave a look at the following answer for the various mass estimates of the observable universe and the entire universe: Martin Silvertan’s answer to How large would the universe be if it was compressed?The observable universe & the entire universeIt takes about 6,666,666 times the mass of the observable universe to get the same mass as the entire universe—assuming the universe is finite. The universe almost certainly has a flat geometry, meaning it is infinite. However, measurements of the Cosmic Microwave Background indicate that Ω (the ratio of the density of the universe to the critical density) must be between 0.9916 and 1.0133 (with 95% confidence), while a flat geometry is Ω = 1. So based on the high end of those measurements (Ω = 1.0133), the smallest possible closed universe (a finite universe) consistent with our data can be calculated.In terms of volume, then, the observable universe fits into the entire universe about 251 times at a minimum—if not infinitely many times.[3][3][3][3]In the image above, you can see the surface of the whole Ω = 1.0133 universe, and the observable universe at the top. (Image source: Galactic Interactions)Mass of the observable universe: 3 × 10[math]^{53}[/math] kg (1.5 × 10[math]^{23}[/math] M[math]_{☉}[/math])Mass of the total universe: 2 × 10[math]^{60}[/math] kg (10[math]^{30}[/math] M[math]_{☉}[/math])Radius of the observable universe: 46.51 billion light-yearsRadius of the total universe: 42 Gpc[4] (136.99 billion light-years)Footnotes[1] List of largest galaxies - Wikipedia[1] List of largest galaxies - Wikipedia[1] List of largest galaxies - Wikipedia[1] List of largest galaxies - Wikipedia[2] Mass of the Universe[3] [1101.5476] Applications of Bayesian model averaging to the curvature and size of the Universe[3] [1101.5476] Applications of Bayesian model averaging to the curvature and size of the Universe[3] [1101.5476] Applications of Bayesian model averaging to the curvature and size of the Universe[3] [1101.5476] Applications of Bayesian model averaging to the curvature and size of the Universe[4] [1101.5476] Applications of Bayesian model averaging to the curvature and size of the Universe