Results 111 to 120 of about 1,464,296 (288)

Parts of the Whole: Teaching Quantitative Reasoning in an Exponential Decay Model

open access: yesNumeracy, 2016
The simple calculus example of exponential decay can be an excellent vehicle for teaching quantitative reasoning in calculus or differential equations.
Dorothy Wallace
doaj   +1 more source

Structural instability of exponential functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
We first prove some equivalent statements on J-stability of families of critically finite entire functions. Then, with these in hand, a conjecture concerning stability of the family of exponential functions is affirmatively answered in some cases.
openaire   +3 more sources

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

open access: yesAdvanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund   +6 more
wiley   +1 more source

Some special functions and cylindrical diffusion equation on α-time scale

open access: yesDemonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu   +3 more
doaj   +1 more source

Exponential Function: a proposal for mathematical tasks

open access: yesEducação Matemática Debate
The purpose of this work has been to propose mathematical tasks involving the exponential function using the GeoGebra software. Thus, it has been based on the discussion about mathematical tasks by João Pedro da Ponte and the Theory of Semiotic ...
Rodrigo dos Santos Ferreira   +1 more
doaj   +1 more source

Nano‐Patterned CuO Nanowire Nanogap Hydrogen Gas Sensor with Voids

open access: yesAdvanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
Sub‐5‐ppb hydrogen (H2) detection and sub‐10‐s response and recovery times are achieved based on nano‐patterned polycrystalline CuO nanowires nanogap gas sensors with voids using electron‐beam lithography and unique annealing processes. Pre‐H2 annealing, void‐generating oxidation, and downscaled nanogap electrodes are key to improving the sensing ...
Muqing Zhao   +4 more
wiley   +1 more source

The Generalized Integro-Exponential Function [PDF]

open access: yesMathematics of Computation, 1985
The generalized integro-exponential function is defined in terms of the exponential integral (incomplete gamma function) and its derivatives with respect to order. A compendium of analytic results is given in one section. Rational minimax approximations sufficient to permit the computation of the first six first-order functions are reported in another ...
openaire   +3 more sources

Ultrahigh Piezoelectricity in Truss‐Based Ferroelectric Ceramics Metamaterials

open access: yesAdvanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
By leveraging the unique combination of polarization direction and loading state, ultrahigh piezoelectricity is achieved through careful tuning of the relative density and scaling ratio in truss‐based ferroelectric metamaterials. This approach enables the simultaneous realization of extremely high piezoelectric constants and ultralow dielectric ...
Jiahao Shi   +6 more
wiley   +1 more source

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