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The Power of Linear Functions [chapter]

Sandra Alves, Maribel Fernández, Mário Florido, Ian Mackie
2006 Lecture Notes in Computer Science  
The linear lambda calculus is very weak in terms of expressive power: in particular, all functions terminate in linear time.  ...  We show properties of this linear version of Gödel's System T and study the class of functions that can be represented.  ...  We have seen that linear iterators can express much more than primitive recursive functions: the system has the computational power of System T .  ... 
doi:10.1007/11874683_8 fatcat:w45qarlcfncefdvhpm4zzlwsxi

On the Non-linearity of Power Functions

Philippe Langevin, Pascal Véron
2005 Designs, Codes and Cryptography  
We study the Boolean functions arising from power functions by means of Stickelberger's congruences on Gauss sum.  ...  We obtain a new criterion for high non-linearity of such boolean functions in terms of permutation polynomials. Finally, a new characteristic property of Gold exponents is given.  ...  Acknowledgment Most of the ideas exposed in this paper were obtained during our visit to the university of Saint-Louis in Senegal. A stay on the initiative of Mary Teuw Niane and Oumar Mbodj.  ... 
doi:10.1007/s10623-004-3803-9 fatcat:duyojhqdfndjzhorsy45rxb6ge

Invariant functions of the elements of the powers of a square matrix

John Heading
1983 Linear Algebra and its Applications  
Linear identities existing between the elements of A" or C are investigated, in such a way that the number of elements in each identity is minimized in general.  ...  Both this number and the method of investigation depend on the Jordan canonical form of A, but if A has a special property, some of these identities and their method of derivation are independent of the  ...  of the nth powers of the characteristic roots of A.  ... 
doi:10.1016/0024-3795(83)90172-6 fatcat:r45yut7gc5h77ndtad27ypzy34

Determination of the linear mass power spectrum from the mass function of galaxy clusters

Ariel G. Sánchez, Nelson D. Padilla, Diego G. Lambas
2002 Monthly notices of the Royal Astronomical Society  
We develop a new method to determine the linear mass power spectrum using the mass function of galaxy clusters.  ...  We find that the mass function based method presented here can provide a very accurate estimate of the linear power spectrum, particularly for low values of k.  ...  Acknowledgments We would like to thank Carlthon Baugh for reading the manuscript and his helpful comments and Ariel Zandivarez for providing us the calculations of the FKP power spectrum.  ... 
doi:10.1046/j.1365-8711.2002.05893.x fatcat:apjowgkxyrcuvdnsk5g2wwwpqa

Low-voltage low-power high dB-linear CMOS exponential function generator using highly-linear V-I converter

Quoc-Hoang Duong, Trung-Kien Nguyen, Sang-Gug Lee
2003 Proceedings of the 2003 international symposium on Low power electronics and design - ISLPED '03  
The proposed exponential V-I converter is composed of a current-to-current squarer and a linear V-I converter with the use of linearization technique.  ...  The total power consumption is below 0.2 mW with 1.25 V supply voltage. The proposed circuit can be used for the design of an extremely low-voltage low-power variable gain amplifier (VGA).  ...  INTRODUCTION Low-voltage low-power VLSI circuits are of particular interest in the field of microelectronics.  ... 
doi:10.1145/871589.871593 fatcat:yetvtbsivjabnlgmerm5vuojoq

Low-voltage low-power high dB-linear CMOS exponential function generator using highly-linear V-I converter

Quoc-Hoang Duong, Trung-Kien Nguyen, Sang-Gug Lee
2003 Proceedings of the 2003 international symposium on Low power electronics and design - ISLPED '03  
The proposed exponential V-I converter is composed of a current-to-current squarer and a linear V-I converter with the use of linearization technique.  ...  The total power consumption is below 0.2 mW with 1.25 V supply voltage. The proposed circuit can be used for the design of an extremely low-voltage low-power variable gain amplifier (VGA).  ...  INTRODUCTION Low-voltage low-power VLSI circuits are of particular interest in the field of microelectronics.  ... 
doi:10.1145/871506.871593 dblp:conf/islped/DuongNL03 fatcat:opp3ito2unaz7c7u42pzf4qymm

Predictive power of word surprisal for reading times is a linear function of language model quality

Adam Goodkind, Klinton Bicknell
2018 Proceedings of the 8th Workshop on Cognitive Modeling and Computational Linguistics (CMCL 2018)  
We show that the models' psychological predictive power improves as a tight linear function of language model linguistic quality.  ...  We also show that the size of the effect of surprisal is estimated consistently across all types of language models.  ...  Each GAMM modeled gaze duration on a word as a function of two linear surprisal terms: one for the surprisal of the current word and one for the surprisal of the previous word.  ... 
doi:10.18653/v1/w18-0102 dblp:conf/acl-cmcl/GoodkindB18 fatcat:svc6cxehpjd6rf4sv4w2xj7dxm

THE EXACT SOLUTION FOR STRAINS AND STRESSES IN A HOLLOW CYLINDER OF NON-LINEAR VISCOELASTIC MATERIAL SUBJECT TO INTERNAL AND EXTERNAL PRESSURES IN THE CASE OF POWER MATERIAL FUNCTION GOVERNING NON-LINEARITY
ТОЧНОЕ РЕШЕНИЕ ЗАДАЧИ О НАГРУЖЕНИИ ДАВЛЕНИЯМИ ПОЛОГО ЦИЛИНДРА ИЗ НЕЛИНЕЙНО НАСЛЕДСТВЕННОГО МАТЕРИАЛА В СЛУЧАЕ СТЕПЕННЫХ ФУНКЦИЙ НЕЛИНЕЙНОСТИ

A.V. Khokhlov
2020 Problems of Strength and Plasticity  
Assuming creep complience is arbitrary and choosing the material function governing non-linearity to be power function with a positive exponent, we construct exact solution of the resolving non-linear  ...  The stress field coincides with classical solution for non-linear elastic material or elastoplastic material with power hardening (for non-decreasing pressure difference).  ...  Assuming creep complience is arbitrary and choosing the material function governing non-linearity to be power function with a positive exponent, we construct exact solution of the resolving nonlinear functional  ... 
doi:10.32326/1814-9146-2020-82-2-225-243 fatcat:bvqzb4tc35e4tgwu7ldgqk6w4e

Driver Design with Linear Feedback Function for the Optimum Power Consumption of LED BLU
LED BLU의 최적 소비전력을 위한 선형적 피드백 제어기능을 가지는 드라이버 설계

Seung-Woo Lee, Nam-Hee Yu, Seong-Ik Cho, Hong-Gyu Shin
2012 The Transactions of The Korean Institute of Electrical Engineers  
This techique is designing LED driver circuit that make a DC-DC output voltage(VLED) to have a linear control function for a supply voltage of LED string.  ...  As demands for green industry increase, this paper proposes a power control technique that can substitute pre -existing CCFL(Cold Cathode Fluorescent Lamp) and optimize power consumption of LED BLU.  ...  TVs", The 7th International Conference on Power Low-voltage Low-power analog circuit E-mail : nicelsw@lycos.co.kr 유 남 희 (柳 南 熙) 1991년 전북대학교 농학과 학사 졸업, 1993년 전북대학교 농학과 농학석사, 1997년 전북대학교 농학과 농학박사, 1993년~  ... 
doi:10.5370/kiee.2012.61.10.1513 fatcat:dga67wur2banpe4r5nzdtyluva

Linearity Enhancement of RF Power Amplifier Using Digital Predistortion with Tanh as a Nonlinear Indexing Function
비선형 인덱싱 함수 Tanh로 구현한 디지털 전치 왜곡을 이용한 RF 전력증폭기의 선형성 향상

Yeon-Jung Seong, Choon-Sik Cho, Jae-Wook Lee
2011 The Journal of Korean Institute of Electromagnetic Engineering and Science  
We verify improvement of linearity by comparing the proposed DPD using tanh as a nonlinear indexing function and the DPD using linear indexing function based on signal amplitude.  ...  In this paper, we design a digital predistortion(DPD) for linearity enhancement of RF power amplifier operating in 900 MHz band.  ...  PSD of linear model for 10th iteration. 그림 7. Iteration이 34일 때 선형 모델의 정규화된 PSD Fig. 7. PSD of linear model for 34th iteration.  ... 
doi:10.5515/kjkiees.2011.22.4.7430 fatcat:e6vby7bk7zbyff573xb5sy7qnm

Steer Feel Evaluation Method by Application of "Analytical Method of Equivalent Linear System Using the Restoring Force Model of Power Function Type"
べき関数形復元力モデルを用いた等価線形系解析手法によるステアフィール評価

Kazuhito MISAJI, Hiroyuki TOKUNAGA, Yasuo SHIMIZU, Akira UOI, Kouichi SHIBATA
2004 Transactions of the Japan Society of Mechanical Engineers Series C  
An "Analytical Method of Equivalent Linear System Uning the Restoring Force Model of Power Function Type", which is used as a non-linear vibration analytical method for vibration systems that shows their  ...  This article describes the theory of this analytical method.  ...  Fig Fig. 1 Steering vibration model Fig. 2 2 Fig. 2 Restoring force model of power function type Fig. 3 Steering wheel angle steering effort hysteresis curves at 0.5 Hz (vehicle A) 2696 Fig. 5  ... 
doi:10.1299/kikaic.70.2691 fatcat:2xsedfrwdfcu5o54mj5pyp7tnu

ON THE FORMAL POWER SERIES ALGEBRAS GENERATED BY A VECTOR SPACE AND A LINEAR FUNCTIONAL

Reza Ali, Khoddami
2017 Journal of Hyperstructures   unpublished
Also we show that the set of all nilpotent elements and also the set of all left zero divisor elements of Rϕ[[x]] are ideals of Rϕ[[x]].  ...  We characterize the nilpotent, idempotent and the left and right zero divisor elements of Rϕ[[x]].  ...  Introduction Let A be an associative algebra (on C) and A[[x]] = ∞ i=0 a i x i | a i ∈ A , be the set of all formal power series with coefficients in A.  ... 
fatcat:tmhtzut5gjd4doyfyzjooi2uem

Low-voltage low-power high dB-Linear CMOS exponential function generator using highly-linear V-I converter

Q.-H. Duong, T.-K. Nguyen, S.-G. Lee
Proceedings of the 2003 International Symposium on Low Power Electronics and Design, 2003. ISLPED '03.  
The proposed exponential V-I converter is composed of a current-to-current squarer and a linear V-I converter with the use of linearization technique.  ...  The total power consumption is below 0.2 mW with 1.25 V supply voltage. The proposed circuit can be used for the design of an extremely low-voltage low-power variable gain amplifier (VGA).  ...  INTRODUCTION Low-voltage low-power VLSI circuits are of particular interest in the field of microelectronics.  ... 
doi:10.1109/lpe.2003.1231912 fatcat:pynol7ayrjgebpdknapfdjcaje

Обчислювальні методи в радіоелектроніці ВИЗНАЧЕННЯ ПОТУЖНОСТІ ЛІНІЙНИХ ПАРАМЕТРИЧНИХ КІЛ У СЕРЕДОВИЩІ СИСТЕМИ ПРОГРАМНИХ ФУНКЦІЙ MAOPCS 1 THE DETERMINATION OF POWER OF LINEAR PERIODICALLY-TIME-VARIABLE CIRCUITS IN AN ENVIRONMENT OF THE SYSTEM OF SOFTWARE FUNCTIONS MAOPCS

unpublished
Підтвердженням сказаного є система програмних функцій (СПФ) MAOPCs (Multivariate Analysis and Optimization of the Parametric Circuits), яка описана в [7] , і призначена для моделювання, багатоваріантного  ... 
fatcat:zr7rydlqjbe7bhjrmyge35d3n4

The powers of noise-fitting: reply to Barth and Paladino

John E. Opfer, Robert S. Siegler, Christopher J. Young
2011 Developmental Science  
reflects a gradual shift in the shape of the power function.  ...  However, the fit of the power function to number line estimation data may simply stem from fitting noise generated by averaging over changing proportions of logarithmic and linear estimation patterns.  ...  Acknowledgements The research described in this paper was funded in part by grants R305A080013 and R305H050035 from the Institute of Education Sciences, in addition to support from the Teresa Heinz Chair  ... 
doi:10.1111/j.1467-7687.2011.01070.x pmid:21884334 fatcat:j3rf2uljnvd2hpzhx4pb3gemnu
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