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College Mathematics Journal, ISSN 0746-8342, 03/2018, Volume 49, Issue 2, pp. 109 - 113
Journal Article
The College Mathematics Journal, ISSN 0746-8342, 10/2019, Volume 50, Issue 5, pp. 375 - 377
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 01/2018, Volume 125, Issue 1, pp. 80 - 80
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 03/2020, Volume 127, Issue 3, pp. 249 - 256
We describe surfaces of revolution with the parallel equal zones property, where equally-spaced planes parallel to the axis of rotation cut the surface into... 
MSC: Primary 51N20 | Secondary 26A06
Journal Article
The College Mathematics Journal, ISSN 0746-8342, 03/2018, Volume 49, Issue 2, pp. 126 - 135
We provide a proof of Euler's sine product formula using simple techniques of calculus and illustrate how our method can be used to prove similar product... 
26A06 | 00A05
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 11/2019, Volume 126, Issue 10, pp. 945 - 945
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 08/2018, Volume 125, Issue 7, pp. 648 - 649
We consider mildly smooth flat functions and improve upon the celebrated Denjoy-Carleman conditions that involve the function and its derivatives of all... 
Primary 26A06 | Secondary 26D15 | MATHEMATICS
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 10/2019, Volume 126, Issue 9, pp. 845 - 849
In this note, we discuss the challenges that arise when teaching the intermediate value theorem and suggest responses to these challenges. 
Secondary 97I20 | MSC: Primary 26A06 | MATHEMATICS | MSC
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 09/2019, Volume 126, Issue 8, pp. 754 - 754
Journal Article
Analysis Mathematica, ISSN 0133-3852, 12/2018, Volume 44, Issue 4, pp. 501 - 519
We consider the partial theta function $$\theta (q,z): = \sum\nolimits_{j = 0} \infty {{q {j(j + 1)/2}}{z j}} $$ θ ( q , z ) : = ∑ j = 0 ∞ q j ( j + 1 ) / 2 z... 
partial theta function | 26A06 | Mathematics | spectrum | Analysis | separation in modulus | MATHEMATICS | ASYMPTOTIC EXPANSIONS
Journal Article
Analysis, ISSN 0174-4747, 05/2018, Volume 38, Issue 2, pp. 63 - 79
A -integral is a definite integral of a function of having an expansion in non-negative powers of for ( -series). In his book on hypergeometric series, N. J.... 
30B10 | 26A06 | 11F20 | Dedekind eta function | 33D05 | q-integrals | q-series
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 1 - 9
Journal Article
Journal of Number Theory, ISSN 0022-314X, 02/2016, Volume 159, pp. 89 - 100
In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for... 
Bernoulli number | Bernoulli polynomial | Stirling numbers of the second kind | Determinant | Closed form | FUNCTION (B(X)-A(X))/X | MATHEMATICS | INEQUALITIES | IDENTITIES | EXPLICIT FORMULAS | STIRLING NUMBERS
Journal Article
Numerische Mathematik, ISSN 0029-599X, 11/2018, Volume 140, Issue 3, pp. 755 - 790
Journal Article
Advances in Calculus of Variations, ISSN 1864-8258, 01/2018, Volume 11, Issue 1, pp. 89 - 93
We illustrate a Bellman function technique in finding the modulus of uniform convexity of spaces. 
52A20 | 28A10 | 52A40 | 42B35 | 42B20 | 26A06 | Bellman function | 47A30 | concave envelopes | Uniform convexity | MATHEMATICS | MATHEMATICS, APPLIED | Convexity
Journal Article
Afrika Matematika, ISSN 1012-9405, 3/2019, Volume 30, Issue 1, pp. 297 - 309
The objective of this paper is to introduce and study some sequence spaces over the geometric complex numbers by means of Museilak–Orlicz function. We make an... 
08A05 | Paranorm space | Geometric complex numbers | Mathematics | History of Mathematical Sciences | Orlicz functions | 46A35 | Mathematics, general | Mathematics Education | Non-Newtonian calculus | 26A06 | 40A05 | Applications of Mathematics
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 11/2015, Volume 46, Issue 8, pp. 1259 - 1264
Let f be a real-valued function defined over a subset of . In the following article, we investigate the graph of f under rotation by a fixed angle about the... 
differentiable functions | plane rotation | Secondary 26A24 | mean value theorem | Primary 26A06
Journal Article
Real Anal. Exchange, 2015, Volume 40, Issue no. 1, pp. 141 - 156
In 1966, Kiesswetter found an interesting example of continuous everywhere but differentiable nowhere functions using base-4 expansion of real numbers. In this... 
26A27 | 26A06 | continuous functions | 26A15 | non-differentiable functions
Journal Article
Acta Universitatis Sapientiae, Mathematica, ISSN 1844-6094, 12/2017, Volume 9, Issue 2, pp. 348 - 359
In the paper, the authors derive an explicit formula for derivative polynomials of the tangent function, deduce an explicit formula for tangent numbers, pose... 
open problem | 16A24 | explicit formula | tangent number | derivative polynomial | 26C99 | 33B10 | 26A06 | tangent function | 26A09 | 42A05 | Tangent function | Open problem | Tangent number | Derivative polynomial | Explicit formula
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 11/2014, Volume 11, Issue 4, pp. 1081 - 1097
This article addresses the problem of maximizing the lateral displacement of a projectile that is launched from atop a tower and is subject only to gravity.... 
optimal launch angle | Projectile ballistics | Mathematics, general | Mathematics | Secondary 49K15 | enveloping parabola | Primary 26A06 | Enveloping parabola | Optimal launch angle | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
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