Relevant bibliographies by topics / Linear equations in primes

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Linear equations in primes'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Linear equations in primes.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Linear equations in primes"

1

Green, Benjamin, and Terence Tao. "Linear equations in primes." Annals of Mathematics 171, no. 3 (April 25, 2010): 1753–850. http://dx.doi.org/10.4007/annals.2010.171.1753.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Balog, Antal. "Linear equations in primes." Mathematika 39, no. 2 (December 1992): 367–78. http://dx.doi.org/10.1112/s0025579300015096.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Balog, Antal. "Six Primes and an Almost Prime in Four Linear Equations." Canadian Journal of Mathematics 50, no. 3 (June 1, 1998): 465–86. http://dx.doi.org/10.4153/cjm-1998-025-1.

Full text
Abstract:
AbstractThere are infinitely many triplets of primes p, q, r such that the arithmetic means of any two of them, are also primes. We give an asymptotic formula for the number of such triplets up to a limit. The more involved problem of asking that in addition to the above the arithmetic mean of all three of them, is also prime seems to be out of reach. We show by combining the Hardy-Littlewood method with the sieve method that there are quite a few triplets for which six of the seven entries are primes and the last is almost prime.
APA, Harvard, Vancouver, ISO, and other styles
4

KANE, DANIEL M. "AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR EQUATIONS IN PRIME NUMBERS FROM SPECIFIED CHEBOTAREV CLASSES." International Journal of Number Theory 09, no. 04 (May 7, 2013): 1073–111. http://dx.doi.org/10.1142/s1793042113500139.

Full text
Abstract:
We extend results relating to Vinogradov's three primes theorem to provide asymptotic estimates for the number of solutions to a given linear equation in three or more prime numbers under the additional constraint that each of the primes involved satisfies specialized Chebotarev conditions. In particular, we show that such solutions can be expected to exist unless a solution would violate some local constraint.
APA, Harvard, Vancouver, ISO, and other styles
5

Zhixin Liu. "Small Prime Solutions to Cubic Diophantine Equations." Canadian Mathematical Bulletin 56, no. 4 (December 1, 2013): 785–94. http://dx.doi.org/10.4153/cmb-2012-025-0.

Full text
Abstract:
Abstract.Let a1,;… a9 be nonzero integers and n any integer. Suppose that a1+…+a9 ≡ n (mod 2) and (ai ; aj ) = 1 for 1 ≤ i < j ≤9. In this paper we prove the following:(i) If aj are not all of the same sign, then the cubic equation has prime solutions satisfying pj ≪|n|1/3 + max{|aj|}14+∊.(ii) If all aj are positive and n ≫ max{|aj|} 43+∊, then is solvable in primes pj.These results are an extension of the linear and quadratic relative problems.
APA, Harvard, Vancouver, ISO, and other styles
6

Banerjee, Kumarjit, Satyendra Nath Mandal, and Sanjoy Kumar Das. "A Comparative Study of Different Techniques for Prime Testing in Implementation of RSA." American Journal of Advanced Computing 1, no. 1 (January 1, 2020): 1–7. http://dx.doi.org/10.15864/ajac.1102.

Full text
Abstract:
The RSA cryptosystem, invented by Ron Rivest, Adi Shamir and Len Adleman was first publicized in the August 1977 issue of Scientific American. The security level of this algorithm very much depends on two large prime numbers. The large primes have been taken by BigInteger in Java. An algorithm has been proposed to calculate the exact square root of the given number. Three methods have been used to check whether a given number is prime or not. In trial division approach, a number has to be divided from 2 to the half the square root of the number. The number will be not prime if it gives any factor in trial division. A prime number can be represented by 6n±1 but all numbers which are of the form 6n±1 may not be prime. A set of linear equations like 30k+1, 30k+7, 30k+11, 30k+13, 30k+17, 30k+19, 30k+23 and 30k+29 also have been used to produce pseudo primes. In this paper, an effort has been made to implement all three methods in implementation of RSA algorithm with large integers. A comparison has been made based on their time complexity and number of pseudo primes. It has been observed that the set of linear equations, have given better results compared to other methods.
APA, Harvard, Vancouver, ISO, and other styles
7

Shparlinski, Igor E. "Evasive properties of sparse graphs and some linear equations in primes." Theoretical Computer Science 547 (August 2014): 117–21. http://dx.doi.org/10.1016/j.tcs.2014.06.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

KONG, YAFANG, and ZHIXIN LIU. "ON PAIRS OF GOLDBACH–LINNIK EQUATIONS." Bulletin of the Australian Mathematical Society 95, no. 2 (October 19, 2016): 199–208. http://dx.doi.org/10.1017/s000497271600071x.

Full text
Abstract:
In this paper, we show that every pair of large positive even integers can be represented in the form of a pair of Goldbach–Linnik equations, that is, linear equations in two primes and $k$ powers of two. In particular, $k=34$ powers of two suffice, in general, and $k=18$ under the generalised Riemann hypothesis. Our result sharpens the number of powers of two in previous results, which gave $k=62$, in general, and $k=31$ under the generalised Riemann hypothesis.
APA, Harvard, Vancouver, ISO, and other styles
9

Bienvenu, Pierre-Yves. "Asymptotics for some polynomial patterns in the primes." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 5 (January 17, 2019): 1241–90. http://dx.doi.org/10.1017/prm.2018.52.

Full text
Abstract:
AbstractWe prove asymptotic formulae for sums of the form $$\sum\limits_{n\in {\open z}^d\cap K} {\prod\limits_{i = 1}^t {F_i} } (\psi _i(n)),$$where K is a convex body, each Fi is either the von Mangoldt function or the representation function of a quadratic form, and Ψ = (ψ1, …, ψt) is a system of linear forms of finite complexity. When all the functions Fi are equal to the von Mangoldt function, we recover a result of Green and Tao, while when they are all representation functions of quadratic forms, we recover a result of Matthiesen. Our formulae imply asymptotics for some polynomial patterns in the primes. For instance, they describe the asymptotic behaviour of the number of k-term arithmetic progressions of primes whose common difference is a sum of two squares.The paper combines ingredients from the work of Green and Tao on linear equations in primes and that of Matthiesen on linear correlations amongst integers represented by a quadratic form. To make the von Mangoldt function compatible with the representation function of a quadratic form, we provide a new pseudorandom majorant for both – an average of the known majorants for each of the functions – and prove that it has the required pseudorandomness properties.
APA, Harvard, Vancouver, ISO, and other styles
10

Shaw, Sen-Yen. "Solvability of linear functional equations in Lebesgue spaces." Publications of the Research Institute for Mathematical Sciences 26, no. 4 (1990): 691–99. http://dx.doi.org/10.2977/prims/1195170854.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Linear equations in primes"

1

Kong, Yafang, and 孔亚方. "On linear equations in primes and powers of two." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50533769.

Full text
Abstract:
It is known that the binary Goldbach problem is one of the open problems on linear equations in primes, and it has the Goldbach-Linnik problem, that is, representation of an even integer in the form of two odd primes and powers of two, as its approximate problem. The theme of my research is on linear equations in primes and powers of two. Precisely, there are two cases: one pair of linear equations in primes and powers of two, and one class of pairs of linear equations in primes and powers of two, in this thesis. In 2002, D.R. Heath-Brown and P.C. Puchta obtained that every sufficiently large even integer is the sum of two odd primes and k powers of two. Here k = 13, or = 7 under the generalized Riemann hypothesis. In 2010, B. Green and T. Tao obtained that every pair of linear equations in four prime variables with coefficients matrix A = (a_ij)s×t with s ≤ t, satisfying nondegenerate condition, that is, A has full rank and the only elements of the row-space of A over Q with two or fewer nonzero entries is the zero vector, is solvable. The restriction on the coefficient matrix means that they excluded the case of the binary Goldbach problem. Motivated by the above results, it is obtained that for every pair of sufficiently large positive even integers B1, B2, the simultaneous equation {█({B1 = p1 + p2 + 2v1 + 2v2 + · · · + 2vk ,@B2 = p3 + p4 + 2v1 + 2v2 + · · · + 2vk ,)┤ (1) is solvable, where p1, · · · , p4 are odd primes, each vi is a positive integer, and the positive integer k ≥ 63 or ≥ 31 under the generalized Riemann hypothesis. Note that, in 1989, M.C. Liu and K.M. Tsang have obtained that subject to some natural conditions on the coefficients, every pair of linear equations in five prime variables is solvable. Therefore one class of pairs of linear equations in four prime variables with special coefficient matrix and powers of two is considered. Indeed, it is deduced that every pair of integers B1 and B2 satisfying B1 ≡ 0 (mod 2), 3BB1 > e^(eB^48 ), B2 ≡ ∑_1^4▒= 1^(a_i ) (mod 2) and |B2| < BB1, where B = max1≤j≤4(2, |aj|), can be represented as {█(B1 = 〖p1〗_1 + p2 + 2^(v_1 ) + 2^(v_2 )+ · · · + 2^(v_k )@B2 = a1p1 + a2p2 + a3p3 + a4p4 + 2^(v_1 )+ 2^(v_2 )+ · · · + 2^(v_k ) )┤ (2) with k being a positive integer. Here p1, · · · p4 are odd primes, each 〖v 〗_iis a positive integer and the integral coefficients ai (i = 1, 2, 3, 4) satisfy {█((〖a 〗_1- 〖a 〗_2, 〖a 〗_3, 〖a 〗_4) = 1,@〖a 〗_1 〖a 〗_2< 0, 〖a 〗_3 〖a 〗_4<0,)┤ Moreover it is calculated that the positive integer k ≥ g(〖a 〗_1- 〖a 〗_2, 〖a 〗_3, 〖a 〗_4) where g(〖a 〗_21- 〖a 〗_22, 〖a 〗_23, 〖a 〗_24) = [(log⁡〖G(〖a 〗_21, …, 〖a 〗_24 〗)-log⁡〖F (〖a 〗_21, …, 〖a 〗_24)〗)/log0.975805-84.0285], (3) G(〖a 〗_21, 〖a 〗_22, 〖a 〗_23, 〖a 〗_24) = (min(1/(|a_24 |), 1/(|a_23 |)) - (〖|a〗_(21 )- a_22 |)/(|〖a_23 a〗_24 |) 〖(3B)〗^(-1) ×〖(3B)〗^(-1) (1-0.000001)- 〖(3B)〗^(-1-4), with B = max1≤j≤4(2, |a2j|), and F(a_21, …, a_24) = √(f(a_21)f〖(a〗_22 )) with f(a_2i) = {█(4414.15h (a_21-1)+5.088331 if a_21≠1@59.8411 if a_21=1,)┤ for i = 1, 2, and h(n) =∏_(p|n,p>2)▒(p-1)/(p-2). This result, if without the powers of two, can make up some of the cases excluded in Green and Tao’s paper.
published_or_final_version
Mathematics
Doctoral
Doctor of Philosophy
APA, Harvard, Vancouver, ISO, and other styles
2

Fan, Ka-wing. "Prime solutions in arithmetic progressions of some quadratic equations and linear equations /." Hong Kong : University of HOng Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B23540308.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

張勁光 and King-kwong Cheung. "Prime solutions in arithmetic progressions of some linear ternary equations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B42575874.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Cheung, King-kwong. "Prime solutions in arithmetic progressions of some linear ternary equations." Click to view the E-thesis via HKUTO, 2000. http://sunzi.lib.hku.hk/hkuto/record/B42575874.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

蔡國光 and Kwok-kwong Stephen Choi. "Some explicit estimates on linear diophantine equations in three primevariables." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1990. http://hub.hku.hk/bib/B3120966X.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Choi, Kwok-kwong Stephen. "Some explicit estimates on linear diophantine equations in three prime variables /." [Hong Kong] : University of Hong Kong, 1990. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12907236.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

樊家榮 and Ka-wing Fan. "Prime solutions in arithmetic progressions of some quadratic equationsand linear equations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31225962.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

趙善衡 and Shin-hang Chiu. "The solubility and the insolubility of systems of linear equations in prime variables." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31209646.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Chiu, Shin-hang. "The solubility and the insolubility of systems of linear equations in prime variables /." [Hong Kong : University of Hong Kong], 1991. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12996622.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Gärtner, Christian [Verfasser], and Christian [Akademischer Betreuer] Bender. "Primal-dual methods for dynamic programming equations arising in non-linear option pricing / Christian Gärtner ; Betreuer: Christian Bender." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2017. http://d-nb.info/1154438392/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Linear equations in primes"

1

1951-, Lines M., ed. Nonlinear dynamics: A primer. Cambridge: Cambridge University Press, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Linear integral equations. Berlin: Springer-Verlag, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Lovitt, William Vernon. Linear integral equations. Mineola, N.Y: Dover Publications, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Kress, Rainer. Linear Integral Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Kress, Rainer. Linear Integral Equations. New York, NY: Springer New York, 1999.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Linear functional equations. Basel: Birkhäuser Verlag, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kress, Rainer. Linear Integral Equations. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9593-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Kanwal, Ram P. Linear Integral Equations. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6012-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Kress, Rainer. Linear Integral Equations. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0559-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Kress, Rainer. Linear Integral Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-97146-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Linear equations in primes"

1

Liu, Ming-Chit, and Kai-Man Tsang. "Small Prime Solutions of a Pair of Linear Equations in Five Variables." In International Symposium in Memory of Hua Loo Keng, 163–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-07981-2_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Stroud, K. A., and Dexter Booth. "Linear equations and simultaneous linear equations." In Foundation Mathematics, 184–202. London: Macmillan Education UK, 2009. http://dx.doi.org/10.1057/978-0-230-36672-5_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Redfern, Darren, and Colin Campbell. "Linear Equations." In The Matlab® 5 Handbook, 21–41. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-2170-8_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Woodford, C., and C. Phillips. "Linear Equations." In Numerical Methods with Worked Examples: Matlab Edition, 17–45. Dordrecht: Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-1366-6_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Lang, Serge. "Linear Equations." In Basic Mathematics, 53–59. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-1027-6_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Shafarevich, Igor R., and Alexey O. Remizov. "Linear Equations." In Linear Algebra and Geometry, 1–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30994-6_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Turner, Peter R. "Linear Equations." In Numerical Analysis, 69–97. London: Macmillan Education UK, 1994. http://dx.doi.org/10.1007/978-1-349-13108-2_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Brown, Jonathon D. "Linear Equations." In Advanced Statistics for the Behavioral Sciences, 3–38. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93549-2_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Stroud, K. A., and Dexter Booth. "Linear equations." In Engineering Mathematics, 161–75. London: Macmillan Education UK, 2013. http://dx.doi.org/10.1057/978-1-137-03122-8_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Verhulst, Ferdinand. "Linear equations." In Universitext, 73–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97149-5_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Linear equations in primes"

1

Steelant, J., and E. Dick. "Prediction of By-Pass Transition by Means of a Turbulence Weighting Factor: Part II — Application on Turbine Cascades." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-030.

Full text
Abstract:
To simulate transitional heat transfer experiments in turbine cascades, the conditionally averaged Navier-Stokes equations are used. To cover both the physics of freestream turbulence and the intermittent flow behaviour during transition, a turbulence weighting factor τ is used. A transport equation for this factor, constructed for low Mach number flows, is extended to cope with compressibility. Compressibility in combination with turbulence level and pressure gradient are prime factors for the correct evaluation of the transitional zone. The method is validated on transitional heat transfer measurements in a linear turbine cascade at typical operational conditions.
APA, Harvard, Vancouver, ISO, and other styles
2

Nishimoto, K., M. D. Ferreira, M. R. Martins, I. Q. Masseti, C. A. Martins, B. P. Jacob, A. Russo, J. R. Caldo, and E. S. S. Silveira. "Numerical Offshore Tank: Development of Numerical Offshore Tank for Ultra Deep Water Oil Production Systems." In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37381.

Full text
Abstract:
There are several developments concerned to simulate the behavior of floating bodies under waves in the restricted boundary conditions so called numerical wave tank. The main feature of these tanks is to calculate full Navier-Stokes equations taking account the viscosity and free surface conditions. However, the dynamic behavior of oil floating exploitation units in actual ocean environmental condition, in waves, wind and current, is more complex and very difficult to simulate using full non-linear Navier Stokes equations. In addition, in the ultra-deep water, it is the primer importance to consider the more precise mooring line and riser’s dynamics in the analysis. The present numerical simulator laboratory called Numerical Offshore Tank is a development that takes account almost all physical phenomena acting on the floating bodies and mooring and risers lines. Since full non-linear solution is not available, the several numerical, empirical and analytical models are being considered and integrated to numerical simulator. The time domain potential problem is solved to wave forces acting on the bodies and empirical models are used to simulate current and wind forces. To represent mooring & riser lines, the finite element model with more realistic hydrodynamic force models is used. Even the simulator is using the full hydrodynamic equation, the calculation time of the simulation for floating bodies with several risers & mooring lines is very high. Therefore, special cluster with 60 PC based computer was built running the code in the parallel processing. Since the preparation of all data set for numerical experiment is very tedious work, the special pre-processor PREA3D was developed for this purpose. This pre-processor allows the fast change of the environmental and system conditions to run several test conditions. Another important feature is the visualization of the results of the simulation tests. The entire 3D view of the system is presented in the Virtual Reality room with stereoscopic projection of the Numerical Tank Laboratory.
APA, Harvard, Vancouver, ISO, and other styles
3

Rogdakis, E. D., N. A. Bormpilas, and I. K. Koniakos. "A Thermodynamic Study of the Thermal Performance of Free Piston Stirling Prime Movers." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33147.

Full text
Abstract:
Linear dynamics theory adequately describes the behavior of Free Piston Stirling Engines (FPSEs). The aim of this paper is to predict the conditions for stable operation of FPSEs and the modeling of FPSEs. The linearization technique of the dynamic balance equations proposed recently by F. de Monte and G. Benvenuto has been applied using RE-1000 of Sunpower Inc. for a typical well known FPSE. The equations of motion are solved analytically in terms of the stiffness and damping coefficients of the machine. Using the criterion of the stable engine cyclic steady operation a rigorous mathematical form is obtained for the main parameters of the engine. The proposed model gives results close to the data coming from the literature and can be used to predict the thermal performance, the piston stroke and the delivered power. Furthermore, using for reasons of simplicity Schmidt Analysis (Isothermal model) the indicated output power is obtained. In addition, a reference is given to some of the most important thermal losses in the engine decreasing the theoretical performance up to experimental level.
APA, Harvard, Vancouver, ISO, and other styles
4

Rosetti, Guilherme F., Kazuo Nishimoto, and Jaap de Wilde. "Vortex-Induced Vibrations on Flexible Cylindrical Structures Coupled With Non-Linear Oscillators." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79022.

Full text
Abstract:
The recent escalade of the oil prices encourages the search and exploration of new oil fields. This represents a challenge to engineers, due to more difficult conditions of operation in harsh environments and deeper reservoirs. The offshore industry faces, in the edge of technology with new necessities and limiting conditions imposed by the environment, an increase in the cost of production. It is, therefore, of vital importance to have the equipments operating at the most optimized conditions in order to reduce these costs. VIV software developed in the frequency domain was successful in designing risers and pipelines using large safety factors and making conservative assumptions. These tools only predict single-mode vibrations. In this perspective, the present paper describes the results obtained from a new time-domain code developed to assess the vortex-induced vibrations of a long flexible cylinder. A time-domain analysis was chosen because this suits the problem well, since it is able to predict and calculate different modes of vibrations. In the model, a cylinder is divided into elements that can be exposed to an arbitrary current profile. Each of these elements is free to oscillate parallel and transversely to the flow, and is coupled to a pair of van der Pol’s wake oscillators. This simulates the vortex shedding and, therefore, the fluctuating nature of drag and lift coefficient during the occurrence of VIV. The governing equations are solved by 4th-Order Runge-Kutta schemes in time domain. The new time-domain model is compared with small scale model test data from benchmarking.
APA, Harvard, Vancouver, ISO, and other styles
5

Buss, Sam, Dima Grigoriev, Russell Impagliazzo, and Toniann Pitassi. "Linear gaps between degrees for the polynomial calculus modulo distinct primes." In the thirty-first annual ACM symposium. New York, New York, USA: ACM Press, 1999. http://dx.doi.org/10.1145/301250.301399.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bronstein, Manuel. "Linear ordinary differential equations." In Papers from the international symposium. New York, New York, USA: ACM Press, 1992. http://dx.doi.org/10.1145/143242.143264.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

FREDET, A. "ALGORITHMS AROUND LINEAR DIFFERENTIAL EQUATIONS." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770752_0018.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Sümer, Kutluk Kağan. "Do Financial Markets Exhibit Chaotic Behavior? Evidence from BIST." In International Conference on Eurasian Economies. Eurasian Economists Association, 2016. http://dx.doi.org/10.36880/c07.01675.

Full text
Abstract:
Knowing of the chaos theory by the economists has caused the understanding of the difficulties of the balance in economy. The applications of the chaos theory related to economy have aimed to overcome these difficulties. Chaotic deterministic models with sensitive dependence on initial conditions provide a powerful tool in understanding the apparently random movements in financial data. The dynamic systems are analyzed by using linear and/or nonlinear methods in the previous studies. Although the linear methods used for stable linear systems, generally fails at the nonlinear analysis, however, they give intuition about the problem. Due to a nonlinear variable in the difference equations describing the dynamic systems, unpredictable dynamics may occur. The chaos theory or nonlinear analysis methods are used to examine such dynamics systems. The chaos that expresses an irregular condition can be characterized by “sensitive dependence on initial conditions”. We employ four tests, viz. the BDS test on raw data, the BDS test on pre-filtered data, Correlation Dimension test and the Brock’s Residual test. The financial markets considered are the stock market, the foreign exchange market. The results from these tests provide very weak evidence for the presence of chaos in Turkish financial markets. BIST, Exchange Rate and Gold Prices. In this study, the methods for the chaotic analysis of the time series, obtained based on the discrete or continuous measurements of a variable are investigated. The chaotic analysis methods have been applied on the time series of various systems.
APA, Harvard, Vancouver, ISO, and other styles
9

Stevens, B. L. "Derivation of aircraft, linear state equations from implicit nonlinear equations." In 29th IEEE Conference on Decision and Control. IEEE, 1990. http://dx.doi.org/10.1109/cdc.1990.203642.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

LASSAS, MATTI. "INVERSE PROBLEMS FOR LINEAR AND NON-LINEAR HYPERBOLIC EQUATIONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0199.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Linear equations in primes"

1

Jain, Himanshu, Edmund M. Clarke, and Orna Grumberg. Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations. Fort Belvoir, VA: Defense Technical Information Center, February 2008. http://dx.doi.org/10.21236/ada476801.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Cohen, Herbert E. The Instability of Linear Heterogeneous Lanchester Equations. Fort Belvoir, VA: Defense Technical Information Center, November 1991. http://dx.doi.org/10.21236/ada243519.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Rundell, William, and Michael S. Pilant. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Fort Belvoir, VA: Defense Technical Information Center, September 1992. http://dx.doi.org/10.21236/ada256012.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Nirenberg, Louis. Techniques in Linear and Nonlinear Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, September 1987. http://dx.doi.org/10.21236/ada187109.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Pilant, Michael S., and William Rundell. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Fort Belvoir, VA: Defense Technical Information Center, December 1989. http://dx.doi.org/10.21236/ada218462.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Subasi, Yigit. Quantum algorithms for linear systems of equations [Slides]. Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1774402.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Mathia, Karl. Solutions of linear equations and a class of nonlinear equations using recurrent neural networks. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1354.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Chen, Goong, and Han-Kun Wang. Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations. Fort Belvoir, VA: Defense Technical Information Center, January 1988. http://dx.doi.org/10.21236/ada190031.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Osipov, Gennadij Sergeevich, Natella Semenovna Vashakidze, and Galina Viktorovna Filippova. Fundamentals of solving linear Diophantine equations with two unknowns. Постулат, 2018. http://dx.doi.org/10.18411/postulat-2018-2-37.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Herzog, K. J., M. D. Morris, and T. J. Mitchell. Bayesian approximation of solutions to linear ordinary differential equations. Office of Scientific and Technical Information (OSTI), November 1990. http://dx.doi.org/10.2172/6242347.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Linear equations in primes' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography