Extended integer tent maps and dynamic hash function by LIU Jian-dong

“…Based on the analysis of uniform distribution property of the extended integer tent maps,a novel dynamic hash function with the output length of 160bit was constructed.In addition,the MD structure was improved so that the capacity of collision resistance of the middle iteration process of the hash function was enhanced without extending intermediate states.Preliminary security testing indicates that,this hash function has a high degree of security,and it can be realized easily with great rapidity.The algorithm of hash function is an ideal subsititution for traditional hash function.…”
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On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions by Zhengxin Zhou

“…We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function. …”
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Conditional Exponential Convex Functions on White Noise Spaces by Ahmed. M. Zabel, Areej A. Almoneef, Ayat Nassar, Abd-Allah Hyder

“…This paper seeks to present the fundamental features of the category of conditional exponential convex functions (CECFs). Additionally, the study of continuous CECFs contributes to the characterization of convolution semigroups. …”
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Concave Continuations of Boolean-like Functions and Some of Their Properties by D. N. Barotov

“…It is constructively proved that, firstly, for any discrete function $f_D$ defined on the vertices of $\mathbb{G}$, where $\mathbb{G}$ is one of these three sets, the cardinality of the set of its concave continuations on $\mathbb{G}$ is equal to infinity, and, secondly, there is a function $f_{NR}$ that is the minimum among all its concave continuations on $\mathbb{G}$. …”
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Fractional Calculus for Type 2 Interval-Valued Functions by Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal

“…This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness. …”
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Cryptological properties of multi-output rotation symmetric functions by YUAN Yan-bin, ZHAO Ya-qun

“…The notion of multi-output rotation symmetric functions was introduced.Firstly, the properties of generalized Walsh spectrum and the generalized autocorrelation functions were presented.Then by constructing matrixes, some necessary and sufficient conditions were given for this class of functions to satisfying cryptological properties of balancedness, correlation immunity and so on.Especially, it presented a necessary and sufficient condition to fulfilling 1st order correlation immunity.At last, when n was odd number, the matrixes of n variables multi-output Plateaued rotation symmetric functions had special properties, so a method was introduced to find the odd number variables multi-output Plateated rotation symmetric functions.And this method only need calculate part of the generalized Walsh cycle spectrum, and the calculation could be reduced by almost half of the amount.…”
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On Uniform Convergence of Sequences and Series of Fuzzy-Valued Functions by Uğur Kadak, Hakan Efe

“…In the present paper since the utilization of Zadeh’s extension principle is quite difficult in practice, we prefer the idea of level sets in order to construct for a fuzzy-valued function via related trapezoidal membership function. …”
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On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions by Yuri Luchko

“…Moreover, for the first time in the literature, a class of Sonin kernels in terms of the convolution series, which are a far-reaching generalization of the power series, is constructed. The new symmetrical Sonin kernels derived in the paper are represented in terms of the Wright function and the new special functions of the hypergeometric type that are extensions of the corresponding Horn functions in two variables.…”
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Improving student understanding of fermionic and bosonic wave function by Christof Keebaugh, Emily Marshman, Chandralekha Singh

“…We discuss how explicit scaffolding is designed via guided teaching-learning sequences for two- or three-particle bosonic and fermionic systems to help students develop intuition about how to construct completely symmetric and antisymmetric wave function, both when spin part of the wave function is ignored and when both spatial and spin degrees of freedom are included.…”
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Functional Promiscuity of Homologues of the Bacterial ArsA ATPases by Rostislav Castillo, Milton H. Saier

“…In addition, eukaryotic ArsA homologues have several recognized functions unrelated to arsenic resistance. By aligning ArsA homologues, constructing phylogenetic trees, examining ArsA encoding operons, and estimating the probable coevolution of these homologues with putative transporters and auxiliary proteins unrelated to ArsB, we provide evidence for new functions for ArsA homologues. …”
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Narrative and Intermedial Functions of Sound in the Films of Fritz Lang by Nikita Samsonov

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Some Propositions on Generalized Nevanlinna Functions of the Class Nk by Yan-Ping Song, Hui-Feng Hao, Yong-Jian Hu, Gong-Ning Chen

“…This leads to an equivalent definition of a generalized Nevanlinna function; (2) if a generalized Nevanlinna function in the class Nκ has a uniform asymptotic expansion at a real point α or at infinity, then the negative inertia index of the Hankel matrix constructed with the partial coefficients of that asymptotic expansion does not exceed κ. …”
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Functional value cognition of Cornus officinalis grape wine by WANG Zijin, YANG Hecai, YUAN Jiawei, ZHANG Yonggang

“…The "attribute-result-value" cognitive system of consumers for C. officinalis was studied, and the consumption value meaning matrix and hierarchical value map were constructed. The survey results showed that product attribute cognition was composed of origin, health function, refreshment, customs and etiquette, and personal habits, product result cognition was composed of physical strengthening, health, comfort and spirit. …”
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The Role of VN In Functional Syntax: Some OE Patterns by Javier Martín Arista

“…We comment on the inadequacy of the V2 Rule and formulate a hypothetical description and explanation of Old English passive constructions: we shall speak of "unmarked topic" whenever this pragmatic function is assigned to a constituent that does not occupy clauseinitial position and of unmaJked focus whenever this function is assigned to the constituent that lies in inter-verbal position, clause-initial, second and final position. …”
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Cellulose Functional Gels: Physical Design and Promising Applications by Minxin Wang, Geyuan Jiang, Xiaoyu Guo, Suqing Zeng, Dawei Zhao

“…As sustainability and green chemistry gain prominence, performance improvement and functional design of cellulose gels have attracted growing attention. …”
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On Systems of Neural ODEs with Generalized Power Activation Functions by Vasiliy Ye. Belozyorov, Yevhen V. Koshel

“…When constructing neural network-based models, it is common practice to use time-tested activation functions such as the hyperbolic tangent, the sigmoid or the ReLU functions. …”
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Psychophysiological Markers of Executive Functions during Copying Sentences by D.A. Momotenko, J.A. Gorbunov

“…According to the results of the study, regression models were constructed that reflect the dependence of the level of development of executive functions on alpha, beta and theta rhythms that arise during the printing of copied sentences. …”
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Nonlinear Parametric Dynamics of Bidirectional Functionally Graded Beams by Yixin Lu, Xiaochao Chen

“…In this paper, the parametric dynamics of bidirectional functionally graded (BDFG) beams subjected to a time-dependent axial force are studied. …”
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Differential lipid dependence of the function of bacterial sodium channels. by Nazzareno D'Avanzo, Emily C McCusker, Andrew M Powl, Andrew J Miles, Colin G Nichols, B A Wallace

“…To investigate the molecular bases of these differences we used synchrotron radiation circular dichroism spectroscopy to compare structures in liposomes of different composition, and molecular modeling and electrostatics calculations to rationalize the functional differences seen. We then examined pore-only constructs (with voltage sensor subdomains removed) and found that in these channels the lipid specificity was drastically reduced, suggesting that the specific lipid influences on voltage-gated sodium channels arise primarily from their abilities to interact with the voltage-sensing subdomains.…”
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Psychometric properties of the Lithuanian version of the functionality appreciation scale by Migle Baceviciene, Vaiva Balciuniene, Rasa Jankauskiene

“…Abstract This study aimed to assess the psychometric properties of the Lithuanian translation of the Functionality Appreciation Scale (FAS). A sample (n = 759) of adults (424 women and 335 men; mean age 23.2 ± 7.1 and age range 18–44 years) participated in the cross-sectional study. …”
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