Academic literature on the topic 'Generate numbers'

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Journal articles on the topic "Generate numbers"

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Segura, Juan José, and Roberto Barchino. "THE 5 EQUATIONS THAT GENERATE ALL COMPOSITE NUMBERS." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 11, no. 03 (2023): 3295–304. http://dx.doi.org/10.47191/ijmcr/v11i3.03.

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This paper presents 5 equations that generate all existing composite numbers. To find these equations, we divided all natural numbers in 6 groups and found the equations that generate all composite numbers in each one of these groups by means of simple mathematical reasoning. Two different ways to obtain prime numbers by iteration are provided. An iteration method to find twin prime numbers is also described.
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Bach, Eric. "How to Generate Factored Random Numbers." SIAM Journal on Computing 17, no. 2 (1988): 179–93. http://dx.doi.org/10.1137/0217012.

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Fischer, Viktor, Florent Bernard, and Nathalie Bochard. "Modern random number generator design – Case study on a secured PLL-based TRNG." it - Information Technology 61, no. 1 (2019): 3–13. http://dx.doi.org/10.1515/itit-2018-0025.

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Abstract Random number generators (RNGs) are basic cryptographic primitives. They are used to generate cryptographic keys, initialization vectors, challenges and nonces in cryptographic protocols, and random masks in countermeasures against side channel attacks. RNGs designed for cryptography must generate unpredictable random numbers. According to recent security standards, the unpredictability of generated random numbers must be thoroughly evaluated. In this paper, we provide a concrete example – a phase-locked loop based RNG protected by novel dedicated embedded tests, on which we show how
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Dr., R. Sivaraman. "LUCAS NUMBERS TRIANGLE." International Journal of Applied and Advanced Scientific Research (IJAASR) 6, no. 2 (2021): 39–44. https://doi.org/10.5281/zenodo.5758677.

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Among several number triangles that exist in mathematics, Pascal’s triangle is well known for its extra-ordinary combinatorial properties and applications. It is well known that stacking entries of Pascal’s triangle in a particular fashion and adding them in North – East diagonal direction, we can generate Fibonacci numbers. In this paper, I will introduce a number triangle constructed similar to Pascal’s triangle through which I have proved eight interestingand new mathematical properties and also have generated Lucas numbers which is connected with Golden Ratio.
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Juan, José Segura, and Barchino Roberto. "THE 5 EQUATIONS THAT GENERATE ALL COMPOSITE NUMBERS." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 11, no. 03 (2023): 3295–304. https://doi.org/10.5281/zenodo.7731613.

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This paper presents 5 equations that generate all existing composite numbers. To find these equations, we divided all natural numbers in 6 groups and found the equations that generate all composite numbers in each one of these groups by means of simple mathematical reasoning. Two different ways to obtain prime numbers by iteration are provided. An iteration method to find twin prime numbers is also described.
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Khairina, Nurul. "The Comparison of Methods for Generating Prime Numbers between The Sieve of Eratosthenes, Atkins, and Sundaram." SinkrOn 3, no. 2 (2019): 293. http://dx.doi.org/10.33395/sinkron.v3i2.10129.

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Prime numbers are unique numbers. Prime numbers are numbers that only have a dividing factor consisting of numbers 1 and the number itself. The prime numbers from 1 to n that are relatively small can be generated manually, but a prime number generator algorithm is needed to generate prime numbers on a large scale. This study compares three prime number generator algorithms, namely: The Sieve of Eratosthenes, The Sieve of Atkins, and The Sieve of Sundaram. These three sieve algorithms have their own differences in generating prime numbers. The Sieve of Eratosthenes uses a simpler method by cros
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Ribenboim, Paulo. "Are There Functions That Generate Prime Numbers?" College Mathematics Journal 28, no. 5 (1997): 352. http://dx.doi.org/10.2307/2687063.

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Ribenboim, Paulo. "Are There Functions That Generate Prime Numbers?" College Mathematics Journal 28, no. 5 (1997): 352–59. http://dx.doi.org/10.1080/07468342.1997.11973889.

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Vandehey, Joseph. "Uncanny Subsequence Selections That Generate Normal Numbers." Uniform distribution theory 12, no. 2 (2017): 65–75. http://dx.doi.org/10.1515/udt-2017-0015.

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Abstract Given a real number 0.a1a2a3 . . . that is normal to base b, we examine increasing sequences ni so that the number 0.an1an2an3 . . . are normal to base b. Classically, it is known that if the ni form an arithmetic progression, then this will work. We give several more constructions including ni that are recursively defined based on the digits ai. Of particular interest, we show that if a number is normal to base b, then removing all the digits from its expansion which equal (b−1) leaves a base-(b−1) expansion that is normal to base (b − 1)
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Irfan, Muhammad, Asim Ali, Muhammad Asif Khan, et al. "Pseudorandom Number Generator (PRNG) Design Using Hyper-Chaotic Modified Robust Logistic Map (HC-MRLM)." Electronics 9, no. 1 (2020): 104. http://dx.doi.org/10.3390/electronics9010104.

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Robust chaotic systems, due to their inherent properties of mixing, ergodicity, and larger chaotic parameter space, constitute a perfect candidate for cryptography. This paper reports a novel method to generate random numbers using modified robust logistic map (MRLM). The non-smooth probability distribution function of robust logistic map (RLM) trajectories gives an un-even binary distribution in randomness test. To overcome this disadvantage in RLM, control of chaos (CoC) is proposed for smooth probability distribution function of RLM. For testing the proposed design, cryptographic random num
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Dissertations / Theses on the topic "Generate numbers"

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Crunk, Anthony Wayne. "A portable C random number generator." Thesis, Virginia Tech, 1985. http://hdl.handle.net/10919/45720.

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Proliferation of computers with varying word sizes has led to increases in software use where random number generation is required. Several techniques have been developed. Criteria of randomness, portability, period, reproducibility, variety, speed, and storage are used to evaluate developed generation methods. The Tausworthe method is the only method to meet the portability requirement, and is chosen to be implemented. A C language implementation is proposed as a possible implementation and test results are presented to confirm the acceptability of the proposed code.<br>Master of Science
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Karanam, Shashi Prashanth. "Tiny true random number generator." Fairfax, VA : George Mason University, 2009. http://hdl.handle.net/1920/4587.

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Thesis (M.S.)--George Mason University, 2009.<br>Vita: p. 91. Thesis director: Jens-Peter Kaps. Submitted in partial fulfillment of the requirements for the degree of Master of Science in Computer Engineering. Title from PDF t.p. (viewed Oct. 12, 2009). Includes bibliographical references (p. 88-90). Also issued in print.
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Mascia, Carla. "Ideals generated by 2-minors: binomial edge ideals and polyomino ideals." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/252052.

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Since the early 1990s, a classical object in commutative algebra has been the study of binomial ideals. A widely-investigated class of binomial ideals is the one containing those generated by a subset of 2-minors of an (m x n)-matrix of indeterminates. This thesis is devoted to illustrate some algebraic and homological properties of two classes of ideals of 2-minors: binomial edge ideals and polyomino ideals. Binomial edge ideals arise from finite graphs and their appeal results from the fact that their homological properties reflect nicely the combinatorics of the underlying graph. First, w
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Stockis, Jean-Pierre. "On some problems related to machine-generated noise." Thesis, University of Kent, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263694.

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Haque, Mohammad Shafiqul. "Various statistical test of pseudorandom number generator." Thesis, Linnaeus University, School of Computer Science, Physics and Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-6201.

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<p>This thesis is related to varies statistical test of pseudorandom number generator. In thisthesis I have tried to discuss some aspects of selecting and testing Pseudorandom numbergenerators. The outputs of such generators may be used in many cryptographic applications,such as the generation of key material. After statistical test I have tried to compairethe test value of every generator and have discussed which one is producing good sequencesand which one is a good generator.</p>
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Costain, Gregory. "On the additive graph generated by a subset of the natural numbers." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21911.

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In this thesis, we are concerned with finite simple graphs. Given a subset $S$ of $\{3,4,\ldots,2n-1\}$, the additive graph generated by $S$ has vertex set $V=[n]$ and edge set $E$, with $(i,j) \in E$ if and only if $i+j \in S$. The focus of this thesis is the relationship between generating sets $S$ and monotone properties in the corresponding graphs. We make the first known investigation of the \textit{Traversal by Prime Sum Problem}, in which the set $S$ is the prime numbers and the property of interest is a Hamilton cycle. A number of new results are proved concerning both these graphs and
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Cunha, José João Marques de Oliveria Vieira da. "Making the numbers : agency in computer-generated formal representations of sales work." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/34682.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Sloan School of Management, February 2006.<br>Includes bibliographical references (leaves 270-276).<br>This research builds on the literature on information technology and organizations to suggest an alternative to the current understanding of the production of computer-generated formal representations of work. This literature sees computer-generated formal representations of work as automatic outcomes of information technology that managers use to scrutinize employees. My ethnography of a desk-based sales unit suggests that managers have
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Hörmann, Wolfgang, and Gerhard Derflinger. "A portable uniform random number generator well suited for the rejection method." Institut für Statistik und Mathematik, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business, 1992. http://epub.wu.ac.at/1288/1/document.pdf.

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Up to now all known efficient portable implementations of linear congruential random number generators with modulus 2^(31)-1 are working only with multipliers which are small compared with the modulus. We show that for non-uniform distributions, the rejection method may generate random numbers of bad quality if combined with a linear congruential generator with small multiplier. Therefore a method is described that works for any multiplier smaller than 2^(30). It uses the decomposition of multiplier and seed in high order and low order bits to compute the upper and the lower half of the produc
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Franco, Juan. "Rapid Prototyping and Design of a Fast Random Number Generator." Thesis, University of North Texas, 2011. https://digital.library.unt.edu/ark:/67531/metadc115036/.

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Information in the form of online multimedia, bank accounts, or password usage for diverse applications needs some form of security. the core feature of many security systems is the generation of true random or pseudorandom numbers. Hence reliable generators of such numbers are indispensable. the fundamental hurdle is that digital computers cannot generate truly random numbers because the states and transitions of digital systems are well understood and predictable. Nothing in a digital computer happens truly randomly. Digital computers are sequential machines that perform a current state and
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Franco, Juan. "Rapid Prototyping and Design of a Fast Random Number Generator." Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc115040/.

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Information in the form of online multimedia, bank accounts, or password usage for diverse applications needs some form of security. the core feature of many security systems is the generation of true random or pseudorandom numbers. Hence reliable generators of such numbers are indispensable. the fundamental hurdle is that digital computers cannot generate truly random numbers because the states and transitions of digital systems are well understood and predictable. Nothing in a digital computer happens truly randomly. Digital computers are sequential machines that perform a current state and
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Books on the topic "Generate numbers"

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Olds, C. D. The geometry of numbers. Mathematical Association of America, 2000.

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Burn, Bob. A cascade of numbers: An introduction to number theory. Chapman, 1996.

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United States. Environmental Protection Agency, ed. EPA hazardous waste numbers for waste streams commonly generated by small quantity generators. U.S. Environmental Protection Agency, 1986.

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Abraham, Ken. Numbers. Plume, 2003.

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Rechy, John. Numbers. Grove Weidenfeld, 1990.

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Harris, Nancy. Sticky fingers: Exploring the number 5. Rourke Pub., 2008.

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Freeman, Marcia S. Una docena de primos: Aprendamos sobre el numero 12. Rourke Pub., 2008.

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Freeman, Marcia S. A dozen cousins: Exploring the number 12. Rourke Pub., 2008.

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Field, Sandra. Safety in numbers. Mills & Boon, 1992.

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Greenaway, Peter. Drowning by numbers. Faber and Faber, 1988.

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Book chapters on the topic "Generate numbers"

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Khurana, Udayan, and Anirudh Koul. "Using Patterns to Generate Prime Numbers." In Pattern Recognition and Data Mining. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11551188_35.

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Chen, Jianyu, Shun Suzuki, Tao Morisaki, et al. "Sound Pressure Field Reconstruction for Ultrasound Phased Array by Linear Synthesis Scheme Optimization." In Haptics: Science, Technology, Applications. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-06249-0_17.

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AbstractUltrasound phased array is a device that is usually used to provide mid air tactile sensations like three-dimensional shape haptics images by generating various specific sound fields. Forming foci for the ultrasound phased array using the linear synthesis scheme (LSS) is a straightforward technique to induce tactile feeling. The matching phase set for each focal point is calculated separately in LSS, and then they are linearly superimposed to generate multiple focal points. Due to the fact that adding an arbitrary offset to the entire phase pattern has no effect on the generated focus
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Bourbaki, Nicolas. "Real Numbers." In General Topology. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61701-0_6.

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Bourbaki, Nicolas. "Complex numbers." In General Topology. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-61703-4_4.

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Horadam, A. F., and A. G. Shannon. "Cyclotomy-Generated Polynomials of Fibonacci Type." In Fibonacci Numbers and Their Applications. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4311-7_6.

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Hernández, Julio César, José María Sierra, Arturo Ribagorda, Benjamín Ramos, and J. C. Mex-Perera. "Distinguishing TEA from a Random Permutation: Reduced Round Versions of TEA Do Not Have the SAC or Do Not Generate Random Numbers." In Cryptography and Coding. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-45325-3_34.

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McMahon, Patrick E., Rosemary F. McMahon, and Bohdan B. Khomtchouk. "Oxidation Numbers." In Survival Guide to General Chemistry. CRC Press, 2019. http://dx.doi.org/10.1201/9780429445828-10.

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Laimer, Margit, Rashmi Boro, Veronika Hanzer, Emmanuel Ogwok, and Eduviges G. Borroto Fernandez. "Protocol on Mutation Induction in Coffee Using In Vitro Tissue Cultures." In Mutation Breeding in Coffee with Special Reference to Leaf Rust. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-67273-0_5.

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AbstractPathogens are the major limiting factors in coffee production. Approximately 26% of the global annual coffee production is lost to diseases, threatening the income of approx. 125 million people worldwide. Therefore, reducing coffee yield losses by improving coffee resistance to diseases and insect attacks through breeding can make a major contribution to agricultural sustainability. Mutation breeding in vegetatively propagated and perennial crops is hampered in large part due to bottlenecks in the induction of variation (lack of recombination) and challenges in screening. Tissue cultur
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Saikia, Anupam. "On Units Generated by Euler Systems." In Number Theory and Applications. Hindustan Book Agency, 2009. http://dx.doi.org/10.1007/978-93-86279-46-0_12.

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Alotaibi, Saud, Pedro Martinez-Vazquez, and Charalampos Baniotopoulos. "Waste Generation Factors and Waste Minimisation in Construction." In Lecture Notes in Civil Engineering. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-57800-7_51.

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AbstractThe consistent growth of the construction sector during the last decades has generated massive waste that severely impacts the environment. Globally, construction activities generate around 30% of the overall waste annually, and the numbers are expected to increase due to population growth projections and the need for infrastructure developments. As a matter of fact, the causes of waste can be grouped into seven categories namely, design-related, procurement-related, human-related, handling and storage, site conditions, management-related, and due to other external factors, such as the
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Conference papers on the topic "Generate numbers"

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Attarakih, Menwer, Mark W. Hlawitschka, Linda Al-Hmoud, and and Hans-J�rg Bart. "Unveiling Probability Histograms from Random Signals using a Variable-Order Quadrature Method of Moments." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.148742.

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Random signals are crucial in chemical and process engineering, where industrial plants generate big data that can be used for process understanding and decision-making. This makes it necessary to unveil the underlying probability histograms from these signals with a finite number of bins. However, the search for the optimal number of bins is still based on empirical optimisation and general rules of thumb. In this work, we introduce an alternative and general method to unveil probability histograms. Our method employs a novel variable-order QMOM, which adapts automatically based on the releva
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J., Witold, Ethan Romander, and Wayne Johnson. "Low Reynolds Number Airfoil Evaluation for the Mars Helicopter Rotor." In Vertical Flight Society 74th Annual Forum & Technology Display. The Vertical Flight Society, 2018. http://dx.doi.org/10.4050/f-0074-2018-12679.

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The present research provides a performance comparison between several low Reynolds number airfoil profiles for the Mars Helicopter. The low density of the Martian atmosphere and the relatively small Mars Helicopter rotor result in very low chord-based Reynolds number flows, Re𝒸 = O(10³ - 10⁴). At low Reynolds numbers, flat and cambered plates can out-perform conventional airfoils, making them of interest for the Mars Helicopter rotor. Performance models are generated for the Mars Helicopter rotor based on a free wake analysis, and the results are compared with Mars Helicopter isolated rotor p
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Chvátal, V., and M. Goldsmith. "Can brains generate random numbers?" In PHYSICS, COMPUTATION, AND THE MIND - ADVANCES AND CHALLENGES AT INTERFACES: Proceedings of the 12th Granada Seminar on Computational and Statistical Physics. AIP, 2013. http://dx.doi.org/10.1063/1.4776527.

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Ehara, Yuto, and Mitsuru Tada. "How to generate transparent random numbers using blockchain." In 2018 International Symposium on Information Theory and Its Applications (ISITA). IEEE, 2018. http://dx.doi.org/10.23919/isita.2018.8664239.

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Maheshwari, Ritu, Sonam Gupta, Vinita Sharma, and Vishakha Chauhan. "VRS algorithm a novel approach to generate pseudo random numbers." In 2014 IEEE International Advance Computing Conference (IACC). IEEE, 2014. http://dx.doi.org/10.1109/iadcc.2014.6779286.

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Lamer, J., M. Pancak, and F. Jakab. "Learn, how to generate a random numbers using mobile phone sensors." In 2014 IEEE 12th International Conference on Emerging eLearning Technologies and Applications (ICETA). IEEE, 2014. http://dx.doi.org/10.1109/iceta.2014.7107599.

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Xiong Liu, Vincent Uy, and WenXiang Xie. "Method to generate true random numbers in HDD without additional hardware." In 2013 IEEE 8th Conference on Industrial Electronics and Applications (ICIEA 2013). IEEE, 2013. http://dx.doi.org/10.1109/iciea.2013.6566604.

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Zhang, Xia, and Xianzhong Pan. "Disordering-digit method: a simple method to generate pseudo random numbers." In International Conference on Simulation and Modeling Methodologies, Technologies and Applications. WIT Press, 2014. http://dx.doi.org/10.2495/smta141052.

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de la Fraga, Luis Gerardo. "Analyzing All the Instances of a Chaotic Map to Generate Random Numbers." In MWFC 2022. MDPI, 2023. http://dx.doi.org/10.3390/cmsf2022004006.

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Passerat-Palmbach, Jonathan, Claude Mazel, Bruno Bachelet, and David R. C. Hill. "ShoveRand: A model-driven framework to easily generate random numbers on GP-GPU." In Simulation (HPCS). IEEE, 2011. http://dx.doi.org/10.1109/hpcsim.2011.5999805.

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Reports on the topic "Generate numbers"

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Bailey, David H. A Pseudo-Random Number Generator Based on Normal Numbers. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/860344.

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Woldeyohanes, Tesfaye, Karl Hughes, Kai Mausch, and Judith Oduol. Adoption of improved grains legumes and dryland cereals crop varieties: A synthesis of evidence. World Agroforestry, 2021. http://dx.doi.org/10.5716/wp21022.pdf.

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Like other crop improvement programs, a key prerequisite for the CGIAR Research Program on Grain Legumes and Dryland Cereals (CRP GLDC) to generate large-scale impact is large-scale adoption. Hence, evidencing the breadth and depth of such adoption is both of intrinsic interest and important for estimating downstream impacts, such as improved food and nutritional security, income, resilience, and soil health. While various GLDC adoption studies have been undertaken, a recent effort to systematically review these studies and synthesize the results is lacking. We undertook such a review, identif
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Allouche, Jeremy, Harriet Hoffler, and Jeremy Lind. Humanitarianism and Religious Inequalities: Addressing a Blind Spot. Institute of Development Studies (IDS), 2020. http://dx.doi.org/10.19088/creid.2020.002.

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Religious identity is critically important to consider in assessing patterns of displacement and the dynamics of conflict and peace-building, as well as programmatic and policy responses to humanitarian crises. Conflicts are frequently driven by discrimination and generate massive numbers of refugees and internally displaced persons (IDPs) as they flee from persecution and violence, whilst individuals or groups may be targeted for their identity or face insecurity during community activities. As a result, the relationship between diversity, inclusivity, and interdependence is key to developing
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Mcdonald, Kathleen Herrera. Quantum Random Number Generator. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1557201.

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Newell, Raymond Thorson. Record Breaking Random Number Generator. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1170694.

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Saito, M., M. Matsumoto, and E. Baccelli. TinyMT32 Pseudorandom Number Generator (PRNG). Edited by V. Roca. RFC Editor, 2020. http://dx.doi.org/10.17487/rfc8682.

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Everhart - Erickson, Michael. Quantum Random Number Generator (QRNG). Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1764183.

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Stern, Ariana. Quantum Random Number Generator (QRNG). Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1829616.

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Josey, Colin. Reassessing the MCNP Random Number Generator. Office of Scientific and Technical Information (OSTI), 2023. http://dx.doi.org/10.2172/1998091.

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Lutz, Carsten, Ulrike Sattler, and Lidia Tendera. The Complexity of Finite Model Reasoning in Description Logics. Technische Universität Dresden, 2002. http://dx.doi.org/10.25368/2022.123.

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We analyze the complexity of finite model reasoning in the description logic ALCQI, i.e. ALC augmented with qualifying number restrictions, inverse roles, and general TBoxes. It turns out that all relevant reasoning tasks such as concept satisfiability and ABox consistency are EXPTIME-complete, regardless of whether the numbers in number restrictions are coded unarily or binarily. Thus, finite model reasoning with ALCQI is not harder than standard reasoning with ALCQI.
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