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A STRAIGHTFORWARD SET UP OF
A STRAIGHTFORWARD SET UP OF

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ICTAM Mikolaj Krutnik version final(1)

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...  Isolate the exponential expression on one side.  Take the logarithm of both sides. The base for the logarithm should be the same as the base in the exponential expression. Alternatively, if you are only interested in a decimal approximation, you may take the natural log or common log of both side ...
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... is consistent. If the system has no solutions, it is inconsistent. If a system of two linear equations in two variables has an infinite number of solutions, the equations are dependent. Otherwise, they are independent. ...
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... (mathematical verbs are usually things like =, <, >, and things like that). An expression can have variables in it, but it cannot be solved for any of the variables, because an expression is not stating that anything is true. Something like 3x + 4 is an expression. You can’t find x because nothing i ...
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Electro-osmotically actuated oscillatory flow of a physiological fluid

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The van der Waals gas: This form of the equation of state modifies the I

... interesting to think about how the modification should be done. The first person to suggest how to modify it was van der Waals. He proposed two modifications of the I.G. equation to include molecular interactions. The first modification is to realize that molecules take up space. This means that the ...
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Derivation of the Navier–Stokes equations

The intent of this article is to highlight the important points of the derivation of the Navier–Stokes equations as well as the application and formulation for different families of fluids.
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