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5 days ago · There is a clear and compelling need to correctly write the equations of motion of structures in order to adequately describe their dynamics. Two routes, indeed very different from a philosophical standpoint, can be used in classical mechanics to derive such equations, namely the Newton vectorial approach (i.e., roughly, sum of forces equal to mass times acceleration) or the Euler–Lagrange ...
2 days ago · Leonhard Euler was born on 15 April 1707, in Basel to Paul III Euler, a pastor of the Reformed Church, and Marguerite (née Brucker), whose ancestors include a number of well-known scholars in the classics. He was the oldest of four children, having two younger sisters, Anna Maria and Maria Magdalena, and a younger brother, Johann Heinrich.
5 days ago · He is best known for having studied the differential equation which bears his name: y + p(x)y = g(x)y2 + h(x), where p, g, and h are some real-valued given functions. Riccati himself was concerned with solutions to so called special Riccati equation. y = ay2 + xα. Riccati was educated first at the Jesuit school for the nobility in Brescia, and ...
4 days ago · The compressible Euler equations consist of equations for conservation of mass, balance of momentum, and balance of energy, together with a suitable constitutive equation for the specific energy density of the fluid. Historically, only the equations of conservation of mass and balance of momentum were derived by Euler.
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6 days ago · What he has done is an interesting way of transferring heat and smoke through a plenum atop the firebox to which he has added both a throttle plate and a small dam to impose some Bernoulli affect to the air flow. This latter feature will do something similar to the scoop baffles we were discussing a week or two ago.
4 days ago · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
2 days ago · French Open Day 2 Predictions Panna Udvardy vs Anastasia Pavlyuchenkova. Jim: Anastasia Pavlyuchenkova looks like a long shot to reach a second French Open final this fortnight, but the Russian is still a good enough player to do some damage in Paris. Including to Panna Udvardy’s ambitions of reaching the second round. Prediction ...
