What was not affected by the mechanics proposed by the author of Philosophiae Naturalis Principia Mathematica?
three-dimensional objects
Title: GridMathematica
Passage: gridMathematica is a software product sold by Wolfram Research which extends the parallel processing capabilities of its main product Mathematica.
Title: Bird migration
Passage: Aristotle noted that cranes traveled from the steppes of Scythia to marshes at the headwaters of the Nile. Pliny the Elder, in his Historia Naturalis, repeats Aristotle's observations.
Title: Alfred North Whitehead
Passage: Whitehead and Russell had thought originally that Principia Mathematica would take a year to complete; it ended up taking them ten years. To add insult to injury, when it came time for publication, the three-volume work was so massive (more than 2,000 pages) and its audience so narrow (professional mathematicians) that it was initially published at a loss of 600 pounds, 300 of which was paid by Cambridge University Press, 200 by the Royal Society of London, and 50 apiece by Whitehead and Russell themselves. Despite the initial loss, today there is likely no major academic library in the world which does not hold a copy of Principia Mathematica.
Title: Portugaliae Mathematica
Passage: Currently, Portugaliae Mathematica is published by the European Mathematical Society with the support of the Portuguese Science Foundation ("Fundação para a Ciência e Tecnologia").
Title: Philosophiæ Naturalis Principia Mathematica
Passage: The French mathematical physicist Alexis Clairaut assessed it in 1747: "The famous book of "Mathematical Principles of Natural Philosophy" marked the epoch of a great revolution in physics. The method followed by its illustrious author Sir Newton ... spread the light of mathematics on a science which up to then had remained in the darkness of conjectures and hypotheses."
Title: Force
Passage: Newton's laws and Newtonian mechanics in general were first developed to describe how forces affect idealized point particles rather than three-dimensional objects. However, in real life, matter has extended structure and forces that act on one part of an object might affect other parts of an object. For situations where lattice holding together the atoms in an object is able to flow, contract, expand, or otherwise change shape, the theories of continuum mechanics describe the way forces affect the material. For example, in extended fluids, differences in pressure result in forces being directed along the pressure gradients as follows:
Title: Timoshenko Medal
Passage: The Timoshenko Medal, widely regarded as the highest international award in the field of applied mechanics, was established in 1957 in honor of Stephen Timoshenko, world-renowned authority in the field. The Medal "commemorates his contributions as author and teacher."
Title: Groncho
Passage: Groncho is the third b-side album by Argentine rock group Babasónicos. It's completely made of tracks that didn't make the cut for 1999's "Miami".
Title: Inventiones Mathematicae
Passage: Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. , the managing editors are Helmut Hofer (Institute for Advanced Study, Princeton) and Jean-Benoît Bost (University of Paris-Sud).
Title: Philosophiæ Naturalis Principia Mathematica
Passage: Philosophiæ Naturalis Principia Mathematica (Latin for "Mathematical Principles of Natural Philosophy"), often referred to as simply the Principia (), is a work in three books by Isaac Newton, in Latin, first published 5 July 1687. After annotating and correcting his personal copy of the first edition, Newton published two further editions, in 1713 and 1726. The "Principia" states Newton's laws of motion, forming the foundation of classical mechanics; Newton's law of universal gravitation; and a derivation of Kepler's laws of planetary motion (which Kepler first obtained empirically).
Title: Blue Country Heart
Passage: Blue Country Heart is a Jorma Kaukonen studio album released in June, 2002. It was his first album on a major label since 1980's "Barbeque King". Kaukonen didn't write any new compositions for the album, and instead played mostly country-blues cover songs.The album features performances by Sam Bush, Jerry Douglas, Byron House and Bela Fleck, and was nominated for a Grammy award in 2003 for "Best Traditional Folk Album."
Title: Monetary policy of the United States
Passage: Though the Federal Reserve authorizes and distributes the currency printed by the Treasury (the primary component of the narrow monetary base), the broad money supply is primarily created by commercial banks through the money multiplier mechanism. One textbook summarizes the process as follows:
Force Philosophiæ Naturalis Principia Mathematica