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Journal articles on the topic 'Generate numbers'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

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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2

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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4

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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7

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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9

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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10

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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Aslam, Muhammad, and Osama H. Arif. "Algorithmic generation of imprecise data from uniform and Weibull distributions." AIMS Mathematics 9, no. 5 (2024): 13087–101. http://dx.doi.org/10.3934/math.2024639.

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<abstract> <p>This paper introduced the neutrosophic uniform distribution and innovative simulation methods to generate random numbers from the neutrosophic uniform distribution and the neutrosophic Weibull distribution. We introduced simulation methods and algorithms designed to handle indeterminacy for both of these distributions. We provided random numbers generated from both distributions across a range of parameter values and degrees of indeterminacy. Furthermore, we conducted a comparative analysis between the classical simulation method in classical statistics and the neutro

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12

Yakut, Selman, Taner Tuncer, and Ahmet Bedri Ozer. "Secure and Efficient Hybrid Random Number Generator Based on Sponge Constructions for Cryptographic Applications." Elektronika ir Elektrotechnika 25, no. 4 (2019): 40–46. http://dx.doi.org/10.5755/j01.eie.25.4.23969.

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Random numbers constitute the most important part of many applications and have a vital importance in the security of these applications, especially in cryptography. Therefore, there is a need for secure random numbers to provide their security. This study is concerned with the development of a secure and efficient random number generator that is primarily intended for cryptographic applications. The generator consists of two subsystems. The first is algorithmic structure, Keccak, which is the latest standard for hash functions. The structure provides to generate secure random numbers. The sec

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13

Aruna, Mrs S., Ch Soumya Pranathi, A. Siva Madhuri, and K. Neha. "Implementation of Programmable n-bit Pseudo Random Sequence Generator using 45 nm Technology." International Journal for Research in Applied Science and Engineering Technology 12, no. 6 (2024): 958–66. http://dx.doi.org/10.22214/ijraset.2024.63240.

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Abstract: In recent times with the advent of computers, programmers recognized the necessity for a means of introducing randomness into a computer program. Pseudo-random numbers generates necessary values for processes that require randomness, such as creating test signals or for synchronizing transmitting and receiving devices in a spread spectrum transmission. It is not possible to generate truly random numbers from deterministic thing like computers so PRSG is a technique developed to generate random numbers using a computer. Our proposed system is used to implement multiple polynomials of

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14

Willemain, R. Thomas, and A. Philip Desautels. "A method to generate autocorrelated uniform random numbers." Journal of Statistical Computation and Simulation 45, no. 1-2 (1993): 23–31. http://dx.doi.org/10.1080/00949659308811469.

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15

Jon Grantham, Witold Jarnicki, John Rickert, and Stan Wagon. "Repeatedly Appending Any Digit to Generate Composite Numbers." American Mathematical Monthly 121, no. 5 (2014): 416. http://dx.doi.org/10.4169/amer.math.monthly.121.05.416.

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16

Cañadas, Agustín Moreno, Isaias David Marín Gaviria, and Hernán Giraldo. "REPRESENTATION OF EQUIPPED POSETS TO GENERATE DELANNOY NUMBERS." Far East Journal of Mathematical Sciences (FJMS) 102, no. 8 (2017): 1677–95. http://dx.doi.org/10.17654/ms102081677.

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17

Chen, Weixi, and Wenkuan Zhang. "Continuity of all Algorithmic Functions on Left Numbers." Theoretical and Natural Science 5, no. 1 (2023): 47–52. http://dx.doi.org/10.54254/2753-8818/5/20230268.

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A constructive Function is a computer program that transforms a Constructive Real Number (CRN) into another CRN. A left number is a program that generates an increasing sequence of rational numbers with an upper bound. We use algorithmic functions to generate CRNs and Left numbers. In this essay, we will prove the continuity of such functions on Left numbers in topological space with the base of right rays.

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18

Risdianto, Dian Arief, and Bambang Nurcahyo Prastowo. "Pengembangan True Random Number Generator berbasis Citra menggunakan Algoritme Kaotis." IJEIS (Indonesian Journal of Electronics and Instrumentation Systems) 10, no. 1 (2020): 87. http://dx.doi.org/10.22146/ijeis.36517.

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The security of most cryptographic systems depends on key generation using a nondeterministic RNG. PRNG generates a random numbers with repeatable patterns over a period of time and can be predicted if the initial conditions and algorithms are known. TRNG extracts entropy from physical sources to generate random numbers. However, most of these systems have relatively high cost, complexity, and difficulty levels. If the camera is directed to a random scene, the resulting random number can be assumed to be random. However, the weakness of a digital camera as a source of random numbers lies in th

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19

Rudzkienė, Vitalija. "Pseudo-atsitiktiniai skaičiai statistinėse programinėse sistemose." Lietuvos matematikos rinkinys 40 (December 18, 2000): 111–16. http://dx.doi.org/10.15388/lmr.2000.35073.

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There are many ways to get random numbers. Some methods include making hardware devices that generate noise, observing cosmic ray flux and etc. Pseudo-random numbers come from mathematical functions and algorithms that provides such numbers called pseudo-random generators. The generators chosen is often that provided by the software developer. The most popular way for getting pseudo-random numbers is by statistical programming systems. In Lithuania these statistical systems are in use: Statistica, Statgraphics, SAS, SPSS. Statistical properties of random sequences, generated by these statist

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20

KHASANOV, FAKHRIDDIN, and MUZAFFAR GAFFAROV. "Numbering method in solving combinatorial problems." International Journal of Academic Research in Business, Arts & Science ( IJARBAS.COM ) 3, no. 5 (2021): 88–93. https://doi.org/10.5281/zenodo.4781719.

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When solving combinatorial problems, it is easier to solve the problem by expressing the different situations that arise under the condition of the problem with different numbers. First of all, let's look at the solution of the problem of combinatorics with numbers, using the given numbers to generate numbers using the rules set in the problem condition. <strong>               Keywords: </strong>combinatorial problems, numbers, generate numbers,

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21

van de Laar, Lianne, and Bart N. Lambrecht. "How to generate large numbers of CD103+ dendritic cells." Blood 124, no. 20 (2014): 3036–38. http://dx.doi.org/10.1182/blood-2014-08-595298.

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22

Figurska, Małgorzata, Maciej Stańczyk, and Kamil Kulesza. "Humans cannot consciously generate random numbers sequences: Polemic study." Medical Hypotheses 70, no. 1 (2008): 182–85. http://dx.doi.org/10.1016/j.mehy.2007.06.038.

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23

Miller, Johanna. "Chaotic semiconductor lasers generate random numbers at high speed." Physics Today 62, no. 8 (2009): 12–14. http://dx.doi.org/10.1063/1.3206082.

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24

Zhurbenko, I. G., and O. S. Smirnova. "On an algorithm to generate weakly correlated random numbers." Journal of Mathematical Sciences 75, no. 2 (1995): 1576–82. http://dx.doi.org/10.1007/bf02368746.

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25

Migliaccio, G., AR Migliaccio, ML Druzin, PJ Giardina, KM Zsebo, and JW Adamson. "Long-term generation of colony-forming cells in liquid culture of CD34+ cord blood cells in the presence of recombinant human stem cell factor." Blood 79, no. 10 (1992): 2620–27. http://dx.doi.org/10.1182/blood.v79.10.2620.2620.

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Abstract Human cord blood was used as a source of progenitor and stem cells to evaluate the effect of recombinant human stem-cell factor (SCF) on colony formation and the generation of colony-forming cells (CFC) under highly defined, serum-deprived conditions. SCF interacted with a number of hematopoietic growth factors to stimulate colony growth and was particularly effective in stimulating the formation of mixed-cell colonies from CD34+ soybean agglutinin negative (SBA-) cells. In suspension culture of CD34+, SBA- cells, SCF alone was unable to maintain cell numbers or CFC but, in combinatio

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Migliaccio, G., AR Migliaccio, ML Druzin, PJ Giardina, KM Zsebo, and JW Adamson. "Long-term generation of colony-forming cells in liquid culture of CD34+ cord blood cells in the presence of recombinant human stem cell factor." Blood 79, no. 10 (1992): 2620–27. http://dx.doi.org/10.1182/blood.v79.10.2620.bloodjournal79102620.

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Human cord blood was used as a source of progenitor and stem cells to evaluate the effect of recombinant human stem-cell factor (SCF) on colony formation and the generation of colony-forming cells (CFC) under highly defined, serum-deprived conditions. SCF interacted with a number of hematopoietic growth factors to stimulate colony growth and was particularly effective in stimulating the formation of mixed-cell colonies from CD34+ soybean agglutinin negative (SBA-) cells. In suspension culture of CD34+, SBA- cells, SCF alone was unable to maintain cell numbers or CFC but, in combination with in

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27

Wötzel, Jacqueline, and Fachberatung für Kunststoffe. "Order of Integer Numbers and Structure of Prime Numbers." International Journal on Computational Science & Applications 13, no. 1 (2023): 01–04. http://dx.doi.org/10.5121/ijcsa.2023.13101.

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There are many theories and trials exist to find a structure for identification and prediction of prime numbers. The famous one is the Riemann Hypothesis. Beside this, there are running competitions to identify the prime numbers for enormous range of numbers with high performance computers. The idea to identify a structure in prime numbers is developed from an interview of Dr.Peter Plichta where he spoke on his book “Das Primzahlenkreuz”. Following is given a scheme that uses steps of separation to generate an order, which allows simple elimination steps to identify and predict prime numbers.

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Yang, De Yun, Ying Kun Hou, and Xiu Zheng Li. "On Encryption of Data by Compressed Image with Embedded User's Information." Applied Mechanics and Materials 433-435 (October 2013): 430–33. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.430.

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An effective method is offered which generate registering numbers by compressed image with embedded the personal characteristic information. To guarantee the ownership of software and the integrity of the data, under the installation procedure of the data, related registering numbers are produced which embedded the users some characteristic image information. Little difference between any two users' identification information can generate a big difference between the registering numbers.

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29

Aulia, Indra, Sarah Purnamawati, and Junianto Junianto. "Textual interpretation generation in Indonesian language based on blood chemistry tests data using r-template based approach." Jurnal Teknologi dan Sistem Komputer 8, no. 1 (2019): 44–53. http://dx.doi.org/10.14710/jtsiskom.8.1.2020.44-53.

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The result of the blood chemistry tests is usually presented in the form of a table written in abbreviations, numbers, and units. Unfortunately, the young doctors often require the time and experience for interpreting the blood chemistry tests into a textual representation, which is easy to read and understand. Therefore, this research aimed at developing a system (BTISys) that can generate the textual representation in the Indonesian language automatically based on the blood chemistry test. BTISys generates the representation using Natural Language Generation (NLG) approach based on the r-tem

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30

Choi, Ji Young. "Generating b-nomial numbers." Communications on Number Theory and Combinatorial Theory 3, no. 1 (2022): 1–18. http://dx.doi.org/10.70013/t6bp2yl4.

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This paper presents three new ways to generate each type of b-nomial numbers: We develop ordinary generating functions, we find a whole new set of recurrence relations, and we identify each b-nomial number as a single binomial coefficient or as an alternating sum of products of two binomial coefficients.

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31

Yakut, Selman, Taner Tuncer, and Ahmet Bedri Özer. "A New Secure and Efficient Approach for TRNG and Its Post-Processing Algorithms." Journal of Circuits, Systems and Computers 29, no. 15 (2020): 2050244. http://dx.doi.org/10.1142/s0218126620502448.

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Random numbers are important parameters for the security of cryptographic applications. In this study, a secure and efficient generator is proposed to generate random numbers. The first part of the generator is a true random number generator that consists of chaotic systems implemented on FPGA. The second part of the generator is a post-processing algorithm used to overcome the problems that emerge from the generator or environmental factors. As the post-processing algorithm, Keccak, the latest standard of hash algorithm, was rearranged and used. Random numbers with the proposed approach meet

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32

Hgsack, John M. "The use of Cebysev mixing to generate pseudo-random numbers." Journal of Computational Physics 67, no. 2 (1986): 482–86. http://dx.doi.org/10.1016/0021-9991(86)90274-3.

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33

Mukunda, Keshav. "Pisot Numbers from {0, 1}-Polynomials." Canadian Mathematical Bulletin 53, no. 1 (2010): 140–52. http://dx.doi.org/10.4153/cmb-2010-028-7.

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AbstractA Pisot number is a real algebraic integer greater than 1, all of whose conjugates lie strictly inside the open unit disk; a Salem number is a real algebraic integer greater than 1, all of whose conjugate roots are inside the closed unit disk, with at least one of them of modulus exactly 1. Pisot numbers have been studied extensively, and an algorithm to generate them is well known. Our main result characterises all Pisot numbers whose minimal polynomial is derived from a Newman polynomial — one with {0, 1}-coefficients — and shows that they form a strictly increasing sequence with lim

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34

Dr., R. Sivaraman. "TRIANGLE OF TRIANGULAR NUMBERS." TRIANGLE OF TRIANGULAR NUMBERS 9, no. 10 (2021): 2390–94. https://doi.org/10.47191/ijmcr/v9i10.01.

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Among several interesting number triangles that exist in mathematics, Pascal’s triangle is one of the best triangle possessing rich mathematical properties. In this paper, I will introduce a number triangle containing triangular numbers arranged in particular fashion. Using this number triangle, I had proved five interesting theorems which help us to generate Pythagorean triples as well as establish bijection between whole numbers and set of all integers.

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35

Sari, Selin, and Gül Gözeri. "B3-subbalancing and b3-Lucas subbalancing numbers." Filomat 37, no. 22 (2023): 7623–39. http://dx.doi.org/10.2298/fil2322623s.

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In this paper, we derive some new algebraic identities on b3-subbalancing numbers and obtain the functions that generate b3-subbalancing numbers. We also introduce b3-Lucas subbalancing numbers and derive some algebraic identities between b3-Lucas subbalancing numbers and b3-subbalancing numbers. Further, we give the Binet formulas for b3-subbalancing and b3-Lucas subbalancing numbers.

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36

Liu, Guopeng, Penghua Mu, Kun Wang, Gang Guo, Xintian Liu, and Pengfei He. "Random Numbers Generated Based on Dual-Channel Chaotic Light." Electronics 13, no. 9 (2024): 1603. http://dx.doi.org/10.3390/electronics13091603.

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This paper presents a chaotic system based on novel semiconductor nanolasers (NLs), systematically analyzing its chaotic region and investigating the influence of key parameters on the unpredictability of chaotic output. This study found that under optical feedback conditions, NLs generate chaos across a wide range of feedback parameters, with the highly unpredictable region completely overlapping with the chaotic region. Further injection into the slave lasers enhances the chaotic output, expanding the range of unpredictability. Additionally, we analyzed the impact of internal parameter misma

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Schwertz, Hansjörg, Sarah Köster, Walter H. A. Kahr, et al. "Anucleate platelets generate progeny." Blood 115, no. 18 (2010): 3801–9. http://dx.doi.org/10.1182/blood-2009-08-239558.

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Abstract Platelets are classified as terminally differentiated cells that are incapable of cellular division. However, we observe that anucleate human platelets, either maintained in suspension culture or captured in microdrops, give rise to new cell bodies packed with respiring mitochondria and α-granules. Platelet progeny formation also occurs in whole blood cultures. Newly formed platelets are structurally indistinguishable from normal platelets, are able to adhere and spread on extracellular matrix, and display normal signal-dependent expression of surface P-selectin and annexin V. Platele

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38

CRISOLOGO, IRENE, RENE BATAC, ANTHONY LONGJAS, ERIKA FILLE LEGARA, and CHRISTOPHER MONTEROLA. "VISUAL AND AUDITORY CUES SIGNIFICANTLY REDUCE HUMAN'S INTRINSIC BIASES WHEN TASKED TO GENERATE A RANDOM NUMBER SEQUENCE." International Journal of Modern Physics C 21, no. 05 (2010): 567–81. http://dx.doi.org/10.1142/s0129183110015324.

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Humans are deemed ineffective in generating a seemingly random number sequence primarily because of inherent biases and fatigue. Here, we establish statistically that human-generated number sequence in the presence of visual cues considerably reduce one's tendency to be fixated to a certain group of numbers allowing the number distribution to be statistically uniform. We also show that a stitching procedure utilizing auditory cues significantly minimizes human's intrinsic biases towards doublet and sequential ordering of numbers. The article provides extensive experimentation and comprehensive

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Kannouf, Nabil, Mohamed Labbi, Yassine Chahid, Mohammed Benabdellah, and Abdelmalek Azizi. "A Key Establishment Attempt Based on Genetic Algorithms Applied to RFID Technologies." International Journal of Information Security and Privacy 15, no. 3 (2021): 33–47. http://dx.doi.org/10.4018/ijisp.2021070103.

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In RFID technology, communication is based on random numbers, and the numbers used there are pseudo-random too (PRN). As for the PRN, it is generated by the computational tool that creates a sequence of numbers that are generally not related. In cryptography, we usually need to generate the encrypted and decrypted keys, so that we can use the genetic algorithm (GA) to find and present those keys. In this paper, the authors use the GA to find the random keys based on GA operators. The results of this generation attempt are tested through five statistical tests by which they try to determine the

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40

Hamdan, Amer C., Juberty A. de Souza, and Orlando F. A. Bueno. "Performance of university students on random number generation at different rates to evaluate executive functions." Arquivos de Neuro-Psiquiatria 62, no. 1 (2004): 58–60. http://dx.doi.org/10.1590/s0004-282x2004000100010.

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OBJECTIVE: To evaluate the performance of adult young subjects in a Random Number Generation (RNG) task by controlling the response speed (RS). METHOD: Sixty-nine university students of both sexes took part in the experiment (25.05 ± 6.71 year-old). Participants were alloted into 3 groups which differed in RS rates to generate numbers: 1, 2 and 4 seconds to generate each number. A digital metronomer was used to control RS. Participants were asked to generate 100 numbers. The responses were mensured through Evans's RNG Index. RESULTS: There were statistically significant differences among the g

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41

BARTOSCH, LORENZ. "GENERATION OF COLORED NOISE." International Journal of Modern Physics C 12, no. 06 (2001): 851–55. http://dx.doi.org/10.1142/s0129183101002012.

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In this work, we describe a simple Markovian algorithm to generate a typical sample path of colored noise described by an Ornstein–Uhlenbeck process. The algorithm works equally well to simulate a real or complex disorder potential with exponentially decaying covariance and higher correlation functions given by Wick's theorem. As an input, we only need independent Gaussian random numbers which can easily be generated by the well-known Box–Muller algorithm. Finally, we discuss an alternative method which can also be used to generate non-Gaussian colored noise.

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42

G S, Pushpalatha, and Ramesh S. "Pseudo Random Binary Sequences Obtained Using Novel Chaos Based Key Stream Generator and their Auto-correlation Properties." International Journal on Recent and Innovation Trends in Computing and Communication 11, no. 5 (2023): 141–47. http://dx.doi.org/10.17762/ijritcc.v11i5.6588.

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In this paper, psuedo random binary sequences are generated from the “Chaos Based Key Stream Generator- using novel Permutation technique with two dimensional patterns and substitution technique with Z4 mapping” and investigation of auto correlation property for the generated seuwnces is presented. Initially a chaotic function, considering Logistic map is used to generate a Pseudo Random Numbers (PRNs). Then these numbers are converted into binary sequences using binary mapping. These sequences are further modified by novel permutation techniques defined using 2-Dimensional patterns, and subst

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43

Liu, G. P., P. H. Mu, G. Guo, X. T. Liu, and G. S. Hu. "High-quality random bit generation based on a cascade-coupled nano-laser system." Laser Physics Letters 21, no. 3 (2024): 035206. http://dx.doi.org/10.1088/1612-202x/ad1f4f.

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Abstract In this paper, a novel method is proposed to generate high-quality chaotic signals using three cascade-coupled nano-lasers (NLs), and generate high-speed, high-quality random number sequences. The master NL (MNL) is subjected to optical feedback, and its output is injected into the intermediate NL (INL), which is further injected into the slave NL (SNL). In the simulation, we first adjust proper parameters so that the SNL generates a chaotic signal with a large bandwidth and time-delay signature concealment. After performing self-delayed differential processing on the chaotic signal,

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44

ALHAZOV, ARTIOM, YURII ROGOZHIN, and SERGEY VERLAN. "MINIMAL COOPERATION IN SYMPORT/ANTIPORT TISSUE P SYSTEMS." International Journal of Foundations of Computer Science 18, no. 01 (2007): 163–79. http://dx.doi.org/10.1142/s0129054107004619.

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We investigate tissue P systems with symport/antiport with minimal cooperation, i.e., when only 2 objects may interact. We show that 2 cells are enough in order to generate all recursively enumerable sets of numbers. Moreover, constructed systems simulate register machines and have purely deterministic behavior. We also investigate systems with one cell and we show that they may generate only finite sets of numbers.

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Nemeth, Michael J., Amanda P. Cline, Stacie M. Anderson, Lisa J. Garrett-Beal, and David M. Bodine. "Hmgb3 deficiency deregulates proliferation and differentiation of common lymphoid and myeloid progenitors." Blood 105, no. 2 (2005): 627–34. http://dx.doi.org/10.1182/blood-2004-07-2551.

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AbstractHmgb3 is an X-linked member of a family of chromatin-binding proteins that is expressed in primitive hematopoietic cells capable of long-term hematopoietic repopulation. To examine the role of Hmgb3 in adult hematopoiesis, we generated Hmgb3-deficient (Hmgb3–/Y) mice, which are viable but erythrocythemic. Hmgb3–/Y mice contain normal numbers of hematopoietic stem cells (HSCs), which generate fewer than normal numbers of common lymphoid progenitors (CLPs) and common myeloid progenitors (CMPs) and greater than normal numbers of more mature progenitors. Although fewer Hmgb3–/Y primitive p

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Ray, Prasanta Kumar. "On the Properties of Lucas-Balancing Numbers by Matrix Method." Sigmae 3, no. 1 (2014): 1–6. https://doi.org/10.29327/2520355.3.1-1.

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Balancing numbers n and balancers r are originally dened as the solution of the Diophantine equation 1 + 2 + ... + (n - 1) = (n + 1) + (n + 2) + ... + (n + r). If n is a balancing number, then 8n^2 +1 is a perfect square. Further, If n is a balancing number then the positive square root of 8n^2 + 1 is called a Lucas-balancing number. These numbers can be generated by the linear recurrences B_n+1 = 6B_n - B_n-1 and C_n+1 = 6C_n - C_n-1 where B_n and C_n are respectively denoted by the nth balancing number and nth Lucas-balancing number. There is another way to generate balancing and Lucas-balan

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Rakhimov, I., K. A. Mohd Atan, and N. A. Hadi. "Some Convolution Identities for Catalan Numbers." Malaysian Journal of Mathematical Sciences 16, no. 4 (2022): 771–82. http://dx.doi.org/10.47836/mjms.16.4.09.

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In the paper, we propose a series of convolution identities for the sequence of Catalan numbers. The proofs of two of them are provided and the other identities are proposed as conjectures. We include a simple Maple code to generate and confirm the identities.

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Ridha, Oday, and Ghassan Jawad. "Scheme for Generating True Random Numbers using Electro-mechanical Switches." Journal of Engineering 28, no. 3 (2022): 73–85. http://dx.doi.org/10.31026/j.eng.2022.03.06.

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This paper proposes a novel method for generating True Random Numbers (TRNs) using electromechanical switches. The proposed generator is implemented using an FPGA board. The system utilizes the phenomenon of electromechanical switch bounce to produce a randomly fluctuated signal that is used to trigger a counter to generate a binary random number. Compared to other true random number generation methods, the proposed approach features a high degree of randomness using a simple circuit that can be easily built using off-the-shelf components. The proposed system is implemented using a commercial

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Kadhim F., Alaa, and Hakeem Emad M. "Mouse Movement with 3D Chaotic Logistic Maps to Generate Random Numbers." Diyala Journal For Pure Science 13, no. 3 (2017): 24–39. http://dx.doi.org/10.24237/djps.1303.268b.

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Jdid, Maissam. "An Efficient Neutrosophic Method for Generating Random Variates from Erlang Distribution." Neutrosophic Optimization and Intelligent Systems 2 (April 8, 2024): 56–68. http://dx.doi.org/10.61356/j.nois.2024.2218.

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The simulation process depends on generating a series of random numbers subject to a regular probability distribution in the field [0, 1]. The generation of these numbers is based on the cumulative distribution function of the regular distribution, but we encounter many systems that do not, by nature, follow the regular distribution adopted in the simulation process. Therefore, it is necessary to Convert these random numbers into random variables that follow the probability distribution in which the system to be simulated operates. In classical logic, many techniques can be used in the convers

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