Want this question answered?
Look through a mathematics, physics, chemistry, or economics text to find equations.
Horizontal : y = 0Vertical: x = 2.
This starts with the collocation circle to go through the three points on the curve. First write the equation of a circle. Then write three equations that force the collocation circle to go through the three points on the curve. Last, solve the equations for a, b, and r.
Only one line can pass through two points, but this line can have different equations that could represent it. These are called dependent equations (because they represent the same line). * * * * * That is true for the Euclidean plane. But on surfaces that are not flat, there can be infinitely many lines through any pair of points.
Eliminate them from the equation. Note: This must be accomplished through the use of legitimate algebraic operations. Erasure is not permitted.
Gheorghe Micula has written: 'Differential and integral equations through practical problems and exercises' -- subject(s): Problems, exercises, Differential equations, Integral equations
differential equations. You have 2 constraints; vz=0 @ r=R1 and r=R2
You need a differentiator circuit, the simplest of which passes the input through a capacitor to the inverting terminal of a fedback op-amp. The R and C you choose to use depends on the frequency and gain of the signal you are trying to output. See the wikipedia article on operational amplifiers, and find the differentiator, not the differential amplifer (totally different)
One thing about math is that sometimes the challenge of solving a difficult problem is more rewarding than even it's application to the "real" world. And the applications lead to other applications and new problems come up with other interesting solutions and on and on... But... The Cauchy-Euler equation comes up a lot when you try to solve differential equations (the Cauchy-Euler equation is an ordinary differential equation, but more complex partial differential equations can be decomposed to ordinary differential equations); differential equations are used extensively by engineers and scientists to describe, predict, and manipulate real-world scenarios and problems. Specifically, the Cauchy-Euler equation comes up when the solution to the problem is of the form of a power - that is the variable raised to a real power. Specific cases involving equilibrium phenomena - like heat energy through a bar or electromagnetics often rely on partial differential equations (Laplace's Equation, or the Helmholtz equation, for example), and there are cases of these which can be separated into the Cauchy-Euler equation.
A differential equation is a mathematical equation used to identify an unknown variable using other known variables that directly affect the unknown variable. An example of this would be discovering the velocity of a planet we cannot physically see by studying the effect it has on its parent star, through variables such as gravity, lensing, and Doppler motion. This method relies on the known variables to have predictable effects on the unknown variable, thereby allowing one to discover the answer.
less current flowing through them
Sunn amplifiers can be purchased from a variety of places. They can be purchased directly through the companies website. The amps can also be found on eBay and Craigslist.
They do if close enough
The best ways to remember chemistry equations is through flashcard memorization or acronyms.
The book I used in college, and still use when needed, is A First Course in Differential Equations, by Dennis Zill. It's very clearly written with tons of problems and examples.The book Mathematics From the Birth of Numbers, by Jan Gullberg, is a cool book in general and also has a short and sweet introduction to ordinary differential equations (ODEs) at the end. He derives the general theories of ODEs pretty much entirely through the use of applications.Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, which is a must-own book for mathematicians and scientists anyways, also has a rather short, but surprisingly detailed section on ODEs toward the end. I wouldn't recommend this for a novice, but it's a great reference to have once you've become familiar with differential equations.Mathematical Methods in the Physical Sciences, by Mary Boas, is a classic text covering many topics, including ODEs and PDEs (partial differential equations). I'd get this book simply for the immense amount of very useful topics it introduces in all the fields of mathematics, including the calculus of variations, tensor analysis, and functional analysis.Eventually, you'll need or want to learn about PDEs, and the most intuitive and comprehensible book I've seen regarding them is Partial Differential Equations for Scientists and Engineers, by Stanley Farlow. It's almost (if such a thing can be said about a rigorous math book) entertaining.
experience, intellect, and creativity
There is no differential on trains as compared to the differential in a car or truck. When going through a turn the wheels go at different speeds because one is traveling further than the other. Without a differential one wheel would be dragged through the turn. The railroad replaces the differential with a tapered tread on the wheel. As the train goes through the curve the taper on the wheels allows for the different rotation speeds.