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The first and the second solutions are respectively given by the arithmetic and the geometric sequences.
It follows from the hypergeometric equation theory that the first and the second solutions for the hyperbolic parabolic equation are Pi_{1} z) =g a,b c z) =F biggl sigma -l,C+sigma-l+1; frac{1}{2};z biggr) and begin{aligned} Pi_{2} z) =z^{1/2}F biggl( sigma-l+frac{1}{2},C+ sigma-l+frac{3}{2},frac {3}{2};z biggr), end{aligned} respectively.
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The first solution is to improve the soil with plastic waste material and the second solution is to improve the soil with cement.
This equation is solved with unknown wave propagation coefficients at two locations, one solution for the volume above the stiffeners and the second solution for the volume below the stiffeners.
Further, it should be mentiond that the first solutions of f 0) and -θ'(0) are stable and physically realizable, while the second solutions are not.
The analysis reagent was prepared from 40 mL acid mixture and 20 mL of the second solution and used immediately.
As noted by Merkin [28], Postelnicu and Pop [29], the first solution is stable and physically realizable, while the second solution is unstable.
As was mentioned by Merkin [36], Merrill et al. [37] and Rosali et al. [35], the first solution is stable and physically realizable, while the second solution is unstable.
And the third solution — the big megillah — is Mr. Paulson's plan to create a new government mechanism to buy mortgage-backed securities from big banks and investment houses.
The second and the third solution propose different mathematical models.
However, the endometrial tests and the fourth solution need to add an embryo cryopreservation step.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com