# Three High-Stakes Math Exams

## Related Articles

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To say one can give a mathematical or logical explanation for why the universe exists will no doubt sound preposterous. Nonetheless, it indeed would be a dream come true for physicists, mathematicians, and cosmologists. This article gives possibly the only logical, albeit mathematical,...

- Numerical Solutions to Dynamic Portfolio Problems: The Case for Value Function Iteration using Taylor Approximation. Garlappi, Lorenzo; Skoulakis, Georgios // Computational Economics;Mar2009, Vol. 33 Issue 2, p193
In a recent paper, van Binsbergen and Brandt ( Computational Economics, 29, 355â€“367, 2007), using the method of Brandt et al. ( Review of Financial Studies, 18, 831â€“873, 2005), argue, in the context of a portfolio choice problem with CRRA preferences, that value function iteration...

- On the Range of Universal Functions. Costakis, G.; Melas, A. // Bulletin of the London Mathematical Society;2000, Vol. 32 Issue 4, p458
We examine the range of universal Taylor series. We prove that every universal Taylor series on the unit disc assumes every complex number, with one possible exception, infinitely often. On the other hand, we prove that on any simply connected domain there exist universal functions that omit one...

- On the completeness of a system of analytic functions. Andriyanov, G. I. // Mathematical Notes;Feb2011, Vol. 89 Issue 1/2, p171
new method of establishing the completeness of systems of analytic functions in the space A( D) is considered. We indicate some applications of the results obtained to the case of the principle of doubly symmetric Kaz'min sets, to the Abel-Goncharov problem (the uniqueness and construction...

- On the normalizing multiplier of the generalized Jackson kernel. Vyazovskaya, M. S.; Pupashenko, N. S. // Mathematical Notes;Jul/Aug2006, Vol. 80 Issue 1/2, p19
We consider the question of evaluating the normalizing multiplier for the generalized Jackson kernel J n,k ( t). We obtain the explicit formula and the representation , where .

- The STFT in an Exponential Function Approximation. Perovich, Slavica M.; Bauk, Sanja I. // AIP Conference Proceedings;9/6/2007, Vol. 936 Issue 1, p416
The paper proposed an original method for an exponential function linear approximation, based upon recently developed Special Trans Function Theoryâ€”STFT, Perovich S.M. (1992â€“2007). It moves the exponential function analysis from the classical MacLaurin's series and the field of...

- The Method to Calculate the Length of the Catenary for Anchored Vessel. Jiabin Li; Guibin Zhu; Zhishan Ou // Applied Mechanics & Materials;2014, Issue 624, p356
The length of the anchor chain released directly influence the holding power of anchor and holding power of anchor decides the safety of the ship in the state of anchoring. In order to calculate the length of the catenary for anchored vessel in static hydraulic condition, Parabola and catenary...

- Generalized High Order Compact Methods. Spotz, William; Kominarczuk, Jakub // AIP Conference Proceedings;9/30/2010, Vol. 1281 Issue 1, p765
The fundamental ideas of the high order compact method are combined with the generalized finite difference method. The result is a finite difference method that works on unstructured, nonuniform grids, and is more accurate than one would classically expect from the number of grid points employed.

- Some inequalities for (a + b)p and (a + b)p + (a - b)p. JAMESON, G. J. O. // Mathematical Gazette;Mar2014, Vol. 98 Issue 541, p96
The article examines the corresponding inequalities for the simpler expression (a + b)p by using several elementary consequences. It explains various theorems in which one can formulate companion inequalities in the opposite direction. The equations for binomial expansion when applying the...