Exam
... potential Ф both inside and outside of the sphere, by solving the Poisson’s equation in spherical coordinates ( 2 / 0 ). Assume that the solution depends on r only: Ф=Ф(r). 6. (7) Consider two point charges located at Cartesian points (0,0,0) and (2,0,0), with electric charges equal to Q ...
... potential Ф both inside and outside of the sphere, by solving the Poisson’s equation in spherical coordinates ( 2 / 0 ). Assume that the solution depends on r only: Ф=Ф(r). 6. (7) Consider two point charges located at Cartesian points (0,0,0) and (2,0,0), with electric charges equal to Q ...
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... Chapter 2: LINEAR EQUATIONS When solving an equation, you must remember that whatever you do to one side must also be done to the other. You are therefore allowed to add the same amount to both side subtract the same amount from each side multiply the whole of each side by the same amount di ...
... Chapter 2: LINEAR EQUATIONS When solving an equation, you must remember that whatever you do to one side must also be done to the other. You are therefore allowed to add the same amount to both side subtract the same amount from each side multiply the whole of each side by the same amount di ...
Full text
... numbers can be written as the sum and difference of other n-gonal numbers. Although Hansen gives several examples of pentagonal numbers written as the product of two other pentagonal numbers, the existence of an infinite class was left in doubt. In this paper we show that for every n there are infin ...
... numbers can be written as the sum and difference of other n-gonal numbers. Although Hansen gives several examples of pentagonal numbers written as the product of two other pentagonal numbers, the existence of an infinite class was left in doubt. In this paper we show that for every n there are infin ...
Find the Missing Number
... 4. I can use 9 because I can start from 6 and count up 3 numbers. So 6, …7, 8,9. So 6 + 3 is the same as 9. This equation should look like this: 6 + 3 = 9. 5. I can use 5 because I know that 5 plus 4 more is 9. This equation should look like this: 9-5=4. Board B and Board C will should have similar ...
... 4. I can use 9 because I can start from 6 and count up 3 numbers. So 6, …7, 8,9. So 6 + 3 is the same as 9. This equation should look like this: 6 + 3 = 9. 5. I can use 5 because I know that 5 plus 4 more is 9. This equation should look like this: 9-5=4. Board B and Board C will should have similar ...
Algebra 2 CPA Summer Packet
... 3. http://www.math.com/homeworkhelp/Algebra.html - for help with solving equations, linear equations, functions, exponents, and more 4. http://www.teacherschoice.com.au/mathematics_how-to_library.htm - for help with factoring, the quadratic formula, systems of equations, functions, and solving equat ...
... 3. http://www.math.com/homeworkhelp/Algebra.html - for help with solving equations, linear equations, functions, exponents, and more 4. http://www.teacherschoice.com.au/mathematics_how-to_library.htm - for help with factoring, the quadratic formula, systems of equations, functions, and solving equat ...
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.