lnu.sePublications
Change search
Refine search result
1234567 1 - 50 of 1511
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Rows per page
  • 5
  • 10
  • 20
  • 50
  • 100
  • 250
Sort
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
  • Standard (Relevance)
  • Author A-Ö
  • Author Ö-A
  • Title A-Ö
  • Title Ö-A
  • Publication type A-Ö
  • Publication type Ö-A
  • Issued (Oldest first)
  • Issued (Newest first)
  • Created (Oldest first)
  • Created (Newest first)
  • Last updated (Oldest first)
  • Last updated (Newest first)
  • Disputation date (earliest first)
  • Disputation date (latest first)
Select
The maximal number of hits you can export is 250. When you want to export more records please use the Create feeds function.
  • 1.
    Abdeljawad, Ahmed
    et al.
    Univ Turin, Italy.
    Cappiello, Marco
    Univ Turin, Italy.
    Toft, Joachim
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Pseudo-Differential Calculus in Anisotropic Gelfand-Shilov Setting2019In: Integral equations and operator theory, ISSN 0378-620X, E-ISSN 1420-8989, Vol. 91, no 3, article id UNSP 26Article in journal (Refereed)
    Abstract [en]

    We study some classes of pseudo-differential operators with symbols a admitting anisotropic exponential type growth at infinity. We deduce mapping properties for these operators on Gelfand-Shilov spaces. Moreover, we deduce algebraic and certain invariance properties of these classes.

  • 2. Accardi, L.
    et al.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Ohya, M.
    The problem of quantum-like representation in economy, cognitive science, and genetics2009In: Quantum Bio-Informatics II: from Quantum Information toBio-Informatics, Singapore: WSP , 2009, p. 1-8Chapter in book (Refereed)
  • 3. Accardi, Luigi
    et al.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Ohya, Masanori
    Quantum Markov Model for Data from Shafir-Tversky Experiments in Cognitive Psychology2009In: Open systems & information dynamics, ISSN 1230-1612, E-ISSN 1573-1324, Vol. 16, no 4, p. 371-385Article in journal (Refereed)
    Abstract [en]

    We analyze, from the point of view of quantum probability, statistical data from two interesting experiments, done by Shafir and Tversky [1, 2] in the domain of cognitive psychology. These are gambling experiments of Prisoner Dilemma type. They have important consequences for economics, especially for the justification of the Savage "Sure Thing Principle" [3] (implying that agents of the market behave rationally). Data from these experiments were astonishing, both from the viewpoint of cognitive psychology and economics and probability theory. Players behaved irrationally. Moreover, all attempts to generate these data by using classical Markov model were unsuccessful. In this note we show (by inventing a simple statistical test — generalized detailed balance condition) that these data are non-Kolmogorovian. We also show that it is neither quantum (i.e., it cannot be described by Dirac-von Neumann model). We proceed towards a quantum Markov model for these data.

  • 4.
    Accardi, Luigi
    et al.
    Univ Rome Torvergata, Italy.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Ohya, Masanori
    Tokyo Univ Sci, Japan.
    Tanaka, Yoshiharu
    Tokyo Univ Sci, Japan.
    Yamato, Ichiro
    Tokyo Univ Sci, Japan.
    Application of Non-Kolmogorovian Probability and Quantum Adaptive Dynamics to Unconscious Inference in Visual Perception Process2016In: Open systems & information dynamics, ISSN 1230-1612, E-ISSN 1573-1324, Vol. 23, no 2, article id 1650011Article in journal (Refereed)
    Abstract [en]

    Recently a novel quantum information formalism - quantum adaptive dynamics - was developed and applied to modelling of information processing by bio-systems including cognitive phenomena: from molecular biology (glucose-lactose metabolism for E.coli bacteria, epigenetic evolution) to cognition, psychology. From the foundational point of view quantum adaptive dynamics describes mutual adapting of the information states of two interacting systems (physical or biological) as well as adapting of co-observations performed by the systems. In this paper we apply this formalism to model unconscious inference: the process of transition from sensation to perception. The paper combines theory and experiment. Statistical data collected in an experimental study on recognition of a particular ambiguous figure, the Schroer stairs, support the viability of the quantum(-like) model of unconscious inference including modelling of biases generated by rotation-contexts. From the probabilistic point of view, we study (for concrete experimental data) the problem of contextuality of probability, its dependence on experimental contexts. Mathematically contextuality leads to non-Komogorovness: probability distributions generated by various rotation contexts cannot be treated in the Kolmogorovian framework. At the same time they can be embedded in a "big Kolmogorov space" as conditional probabilities. However, such a Kolmogorov space has too complex structure and the operational quantum formalism in the form of quantum adaptive dynamics simplifies the modelling essentially.

  • 5.
    Achek, Jennie
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Geometri: Hur lärare undervisar i geometri i de tidigare skolåren2012Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesis
    Abstract [en]

    A number of both international and national enquires shows that Swedish pupils are getting worse results in mathematics. One area that’s frequently pointed out is geometry. This enquiry intends to find out how the subject of geometry has developed in the Swedish school and witch methods and concepts teachers who teach in preschool and the early school years grade use in their teaching. This enquiry is based upon eight semi structured interviews and from studying previous curriculums. The result shows that teachers use a great deal of concepts and methods in their teaching but that there are a need for further education among teachers. The enquiry also shows that the significance of the subject has changed over time.

  • 6.
    Adenier, Guillaume
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Local Realist Approach and Numerical Simulations of Nonclassical Experiments in Quantum Mechanics2008Doctoral thesis, monograph (Other academic)
    Abstract [en]

    Local Realist Approach and Numerical Simulations of Nonclassical Experiments in Quantum Mechanics was constructed.

  • 7.
    Adenier, Guillaume
    et al.
    INRiM, Italy.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Test of the no-signaling principle in the Hensen loophole-free CHSH experiment2017In: Fortschritte der Physik, ISSN 0015-8208, E-ISSN 1521-3978, Vol. 65, no 9, article id 1600096Article in journal (Refereed)
    Abstract [en]

    We analyze the data from the loophole-free CHSH experiment performed by Hensen et al., and show that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger. The data from the loophole-free CHSH experiment performed by Hensen et al. are analysed, It is shown that it is actually not exempt of an important loophole. By increasing the size of the sample of event-ready detections, one can exhibit in the experimental data a violation of the no-signaling principle with a statistical significance at least similar to that of the reported violation of the CHSH inequality, if not stronger.

  • 8.
    Adenier, Guillaume
    et al.
    University of Oslo, Norway.
    Watanabe, Noboru
    Tokyo University of Science, Japan.
    Basieva, Irina
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Multiple-photon absorption attack on entanglement-based quantum key distribution protocols2013In: Quantum Bio-Informatics V: Proceedings of the Quantum Bio-Informatics 2011 : Tokyo University of Science, Japan, 7 – 12 March 2011 / [ed] Luigi Accardi, Wolfgang Freudenberg, Masanori Ohya, Singapore: World Scientific, 2013, vol. 30, p. 171-180Conference paper (Refereed)
    Abstract [en]

    We propose a multiple-photon absorption attack on Quantum Key Distribution protocols. In this attack, the eavesdropper (Eve) is in control of the source and sends pulses correlated in polarization (but not entangled) containing several photons at frequencies for which only multiple-photon absorptions are possible in Alice's and Bob's detectors. Whenever the number of photons from one pulse are dispatched in insufficient number to trigger a multiple-photon absorption in either channel, the pulse remains undetected. We show that this simple feature is enough to reproduce the type of statistics on the detected pulses that are considered as indicating a secure quantum key distribution in entangled-based protocols, even though the source is controlled by Eve, and we discuss possible countermeasures.

  • 9.
    Aghababa, Somayeh
    Linnaeus University, Faculty of Engineering and Technology, Department of Mathematics.
    Extremal dependency:The GARCH(1,1) model and an Agent based model2013Independent thesis Advanced level (degree of Master (One Year)), 20 credits / 30 HE creditsStudent thesis
    Abstract [en]

    This thesis focuses on stochastic processes and some of their properties are investigated which are necessary to determine the tools, the extremal index and the extremogram. Both mathematical tools measure extremal dependency within random time series. Two different models are introduced and related properties are discussed. The probability function of the Agent based model is surveyed explicitly and strong stationarity is proven. Data sets for both processes are simulated and clustering of the data is investigated with two different methods. Finally an estimation of the extremogram is used to interpret dependency of extremes within the data.

  • 10.
    Agram, Nacira
    University of Oslo, Norway;University of Biskra, Algeria.
    Dynamic risk measure for BSVIE with jumps and semimartingale issues2019In: Stochastic Analysis and Applications, ISSN 0736-2994, E-ISSN 1532-9356, Vol. 37, no 3, p. 361-376Article in journal (Refereed)
    Abstract [en]

    Risk measure is a fundamental concept in finance and in the insuranceindustry. It is used to adjust life insurance rates. In this article,we will study dynamic risk measures by means of backward stochasticVolterra integral equations (BSVIEs) with jumps. We prove a comparisontheorem for such a type of equations. Since the solution of aBSVIEs is not a semimartingale in general, we will discuss some particularsemimartingale issues.

  • 11.
    Agram, Nacira
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Stochastic optimal control of McKean-Vlasov equations with anticipating law2019In: Afrika Matematika, ISSN 1012-9405, E-ISSN 2190-7668Article in journal (Refereed)
    Abstract [en]

    We are interested in Pontryagin’s stochastic maximum principle of controlled McKean–Vlasov stochastic differential equations. We allow the law to be anticipating, in the sense that, the coefficients (the drift and the diffusion coefficients) depend not only of the solution at the current time t, but also on the law of the future values of the solution PX(t+δ)" role="presentation">PX(t+δ), for a given positive constant δ" role="presentation">δ. We emphasise that being anticipating w.r.t. the law of the solution process does not mean being anticipative in the sense that it anticipates the driving Brownian motion. As an adjoint equation, a new type of delayed backward stochastic differential equations (BSDE) with implicit terminal condition is obtained. By using that the expectation of any random variable is a function of its law, our BSDE can be written in a simple form. Then, we prove existence and uniqueness of the solution of the delayed BSDE with implicit terminal value, i.e. with terminal value being a function of the law of the solution itself.

  • 12.
    Agram, Nacira
    et al.
    University of Oslo, Norway;University of Mohamed Khider, Algeria.
    Bachouch, Achref
    University of Oslo, Norway.
    Oksendal, Bernt
    University of Oslo, Norway.
    Proske, Frank
    University of Oslo, Norway.
    Singular Control Optimal Stopping of Memory Mean-Field Processes2019In: SIAM Journal on Mathematical Analysis, ISSN 0036-1410, E-ISSN 1095-7154, Vol. 51, no 1, p. 450-468Article in journal (Refereed)
    Abstract [en]

    The purpose of this paper is to study the following topics and the relation between them: (i) Optimal singular control of mean-field stochastic differential equations with memory; (ii) reflected advanced mean-field backward stochastic differential equations; and (iii) optimal stopping of mean-field stochastic differential equations. More specifically, we do the following: (1) We prove the existence and uniqueness of the solutions of some reflected advanced memory backward stochastic differential equations; (2) we give sufficient and necessary conditions for an optimal singular control of a memory mean-field stochastic differential equation (MMSDE) with partial information; and (3) we deduce a relation between the optimal singular control of an MMSDE and the optimal stopping of such processes.

  • 13.
    Agram, Nacira
    et al.
    University of Oslo, Norway.
    Engen Rose, Elin
    University of Biskra, Algeria.
    Optimal control of forward–backward mean-field stochastic delayed systems2018In: Afrika Matematika, ISSN 1012-9405, E-ISSN 2190-7668, Vol. 29, no 1-2, p. 149-174Article in journal (Refereed)
    Abstract [en]

    We study methods for solving stochastic control problems of systems offorward–backward mean-field equations with delay, in finite and infinite time horizon.Necessary and sufficient maximum principles under partial information are given. The resultsare applied to solve a mean-field recursive utility optimal problem.

  • 14.
    Agram, Nacira
    et al.
    University Med Khider, Algeria.
    Haadem, Sven
    Linnaeus University, Faculty of Technology, Department of Mathematics. University of Oslo, Norway.
    Oksendal, Bernt
    University Med Khider, Algeria.
    Proske, Frank
    University of Oslo, Norway.
    A maximum principle for infinite horizon delay equations2013In: SIAM Journal on Mathematical Analysis, ISSN 0036-1410, E-ISSN 1095-7154, Vol. 45, no 4, p. 2499-2522Article in journal (Refereed)
    Abstract [en]

    We prove a maximum principle of optimal control of stochastic delay equations on infinite horizon. We establish first and second sufficient stochastic maximum principles as well as necessary conditions for that problem. We illustrate our results with an application to the optimal consumption rate from an economic quantity.

  • 15.
    Agram, Nacira
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Haadem, Sven
    Oksendal, Bernt
    Proske, Frank
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Optimal stopping, randomized stopping and singular control with partial information flowIn: Article in journal (Refereed)
  • 16.
    Agram, Nacira
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Hilbert, Astrid
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Oksendal, Bernt
    Singular control of SPDEs with space-mean dynamicsIn: Article in journal (Refereed)
  • 17.
    Agram, Nacira
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Hu, Yaozhong
    Mean-field backward stochastic differential equations and applicationsIn: Article in journal (Refereed)
  • 18.
    Agram, Nacira
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Oksendal, Bernt
    Introduction to White Noise, Hida-Malliavin Calculus and ApplicationsAuteursIn: Article in journal (Refereed)
  • 19.
    Agram, Nacira
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics. Univ Oslo, Norway.
    Oksendal, Bernt
    Univ Oslo, Norway.
    Mean-field stochastic control with elephant memory in finite and infinite time horizon2019In: Stochastics: An International Journal of Probablitiy and Stochastic Processes, ISSN 1744-2508, E-ISSN 1744-2516Article in journal (Refereed)
    Abstract [en]

    Our purpose of this paper is to study stochastic control problems for systems driven by mean-field stochastic differential equations with elephant memory, in the sense that the system (like the elephants) never forgets its history. We study both the finite horizon case and the infinite time horizon case. In the finite horizon case, results about existence and uniqueness of solutions of such a system are given. Moreover, we prove sufficient as well as necessary stochastic maximum principles for the optimal control of such systems. We apply our results to solve a mean-field linear quadratic control problem. For infinite horizon, we derive sufficient and necessary maximum principles. As an illustration, we solve an optimal consumption problem from a cash flow modelled by an elephant memory mean-field system.

  • 20.
    Agram, Nacira
    et al.
    University of Oslo, Norway;University of Biskra, Algeria.
    Oksendal, Bernt
    University of Oslo, Norway.
    Model uncertainty stochastic mean-field control2019In: Stochastic Analysis and Applications, ISSN 0736-2994, E-ISSN 1532-9356, Vol. 37, no 1, p. 36-56Article in journal (Refereed)
    Abstract [en]

    We consider the problem of optimal control of a mean-field stochasticdifferential equation (SDE) under model uncertainty. The model uncertaintyis represented by ambiguity about the law LðXðtÞÞ of the stateX(t) at time t. For example, it could be the law LPðXðtÞÞ of X(t) withrespect to the given, underlying probability measure P. This is the classicalcase when there is no model uncertainty. But it could also be thelaw LQðXðtÞÞ with respect to some other probability measure Q or,more generally, any random measure lðtÞ on R with total mass 1. Werepresent this model uncertainty control problem as a stochastic differentialgame of a mean-field related type SDE with two players. Thecontrol of one of the players, representing the uncertainty of the lawof the state, is a measure-valued stochastic process lðtÞ and the controlof the other player is a classical real-valued stochastic process u(t).This optimal control problem with respect to random probability processeslðtÞ in a non-Markovian setting is a new type of stochastic controlproblems that has not been studied before. By constructing a newHilbert space M of measures, we obtain a sufficient and a necessarymaximum principles for Nash equilibria for such games in the generalnonzero-sum case, and for saddle points in zero-sum games. As anapplication we find an explicit solution of the problem of optimal consumptionunder model uncertainty of a cash flow described by amean-field related type SDE.

  • 21.
    Agram, Nacira
    et al.
    University of Oslo, Norway;University of Biskra, Algeria.
    Øksendal, Bernt
    University of Oslo, Norway.
    A Hida-Malliavin white noise calculus approach to optimal control2018In: Infinite Dimensional Analysis Quantum Probability and Related Topics, ISSN 0219-0257, Vol. 21, no 3, article id 1850014Article in journal (Refereed)
    Abstract [en]

    The classical maximum principle for optimal stochastic control states that if a control û is optimal, then the corresponding Hamiltonian has a maximum at u = û. The first proofs for this result assumed that the control did not enter the diffusion coefficient. Moreover, it was assumed that there were no jumps in the system. Subsequently, it was discovered by Shige Peng (still assuming no jumps) that one could also allow the diffusion coefficient to depend on the control, provided that the corresponding adjoint backward stochastic differential equation (BSDE) for the first-order derivative was extended to include an extra BSDE for the second-order derivatives. In this paper, we present an alternative approach based on Hida-Malliavin calculus and white noise theory. This enables us to handle the general case with jumps, allowing both the diffusion coefficient and the jump coefficient to depend on the control, and we do not need the extra BSDE with second-order derivatives. The result is illustrated by an example of a constrained linear-quadratic optimal control.

  • 22.
    Agram, Nacira
    et al.
    University Med Khider, Algeria.
    Øksendal, Bernt
    University of Oslo, Norway.
    Infinite horizon optimal control of forward–backward stochastic differential equations with delay2014In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 259, no Part B, p. 336-349Article in journal (Refereed)
    Abstract [en]

    We consider a problem of optimal control of an infinite horizon system governed by forward–backward stochastic differential equations with delay. Sufficient and necessary maximum principles for optimal control under partial information in infinite horizon are derived. We illustrate our results by an application to a problem of optimal consumption with respect to recursive utility from a cash flow with delay.

  • 23.
    Agram, Nacira
    et al.
    University Med Khider, Algeria.
    Øksendal, Bernt
    University of Oslo, Norway.
    Malliavin calculus and optimal control of stochastic Volterra equations2015In: Journal of Optimization Theory and Applications, ISSN 0022-3239, E-ISSN 1573-2878, Vol. 167, no 3, p. 1070-1094Article in journal (Refereed)
    Abstract [en]

    Solutions of stochastic Volterra (integral) equations are not Markov processes, and therefore, classical methods, such as dynamic programming, cannot be used to study optimal control problems for such equations. However, we show that using Malliavin calculus, it is possible to formulate modified functional types of maximum principle suitable for such systems. This principle also applies to situations where the controller has only partial information available to base her decisions upon. We present both a Mangasarian sufficient condition and a Pontryagin-type maximum principle of this type, and then, we use the results to study some specific examples. In particular, we solve an optimal portfolio problem in a financial market model with memory.

  • 24.
    Agram, Nacira
    et al.
    University of Oslo, Norway.
    Øksendal, Bernt
    Univeristy of Oslo, Norway.
    Stochastic control of memory mean-field processes2019In: Applied mathematics and optimization, ISSN 0095-4616, E-ISSN 1432-0606, Vol. 79, no 1, p. 181-204Article in journal (Refereed)
    Abstract [en]

    By a memory mean-field process we mean the solution X(&#x22C5;)" role="presentation">X(⋅) of a stochastic mean-field equation involving not just the current state X(t) and its law L(X(t))" role="presentation">L(X(t)) at time t,  but also the state values X(s) and its law L(X(s))" role="presentation">L(X(s)) at some previous times s&lt;t." role="presentation">s<t. Our purpose is to study stochastic control problems of memory mean-field processes. We consider the space M" role="presentation">M of measures on R" role="presentation">R with the norm ||&#x22C5;||M" role="presentation">||⋅||M introduced by Agram and Øksendal (Model uncertainty stochastic mean-field control. arXiv:1611.01385v5, [2]), and prove the existence and uniqueness of solutions of memory mean-field stochastic functional differential equations. We prove two stochastic maximum principles, one sufficient (a verification theorem) and one necessary, both under partial information. The corresponding equations for the adjoint variables are a pair of (time-advanced backward stochastic differential equations (absdes), one of them with values in the space of bounded linear functionals on path segment spaces. As an application of our methods, we solve a memory mean–variance problem as well as a linear–quadratic problem of a memory process.

  • 25.
    Agram, Nacira
    et al.
    University of Oslo, Norway;University Mohamed Knider of Biskra, Algeria.
    Øksendal, Bernt
    University of Oslo, Norway.
    Yakhlef, Samia
    University Mohamed Khider of Biskra, Algeria.
    New approach to optimal control of stochastic Volterra integral equations2019In: Stochastics: An International Journal of Probablitiy and Stochastic Processes, ISSN 1744-2508, E-ISSN 1744-2516, Vol. 91, no 6, p. 873-894Article in journal (Refereed)
    Abstract [en]

    We study optimal control of stochastic Volterra integral equations(SVIE) with jumps by using Hida-Malliavin calculus.

    • We give conditions under which there exist unique solutions ofsuch equations.

    • Then we prove both a sufficient maximum principle (a verificationtheorem) and a necessary maximum principle via Hida-Malliavincalculus.

    • As an application we solve a problem of optimal consumptionfrom a cash flow modelled by an SVIE.

  • 26.
    Ahijado, Susana
    Linnaeus University, Board of Education Science.
    Hur används den utökade resursen till matematikämnet i grundskolan?2014Independent thesis Basic level (university diploma), 10 credits / 15 HE creditsStudent thesis
  • 27.
    Ahlberg, Sandra
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Elevers möjlighet att utveckla matematiska förmågor utifrån läromedlet Pixel2012Student paper other, 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Syftet med arbetet är att ta reda på i vilken utsträckning elever ges förutsättningar att utveckla de olika förmågor som beskrivs i kursplanen för ämnet matematik, LGR11, när undervisningen bygger på ett vanligt förekommande läromedel, Pixel. Metoden är kvalitativ och det har skett en textanalys på geometriavsnitten i läromedlet. De förmågor som eleverna når upp till är att använda sig av olika matematiska begrepp, samt att formulera och lösa problem. Eleverna har goda möjligheter att själva kunna välja olika sätt att lösa uppgifter. De får även kunskap att förstå och använda olika uttrycksformer. Eleverna uppmuntras inte med hjälp av detta läromedel, att föra egna matematiska diskussioner. 

  • 28.
    Ahlqvist, Susanne
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Johansson, Maria
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Matematik från grunden: sortering och klassificering med de yngsta barnen i förskolan2009Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Syftet med examensarbetet är att med hjälp av enkätintervjuer och observationer få mer kunskap om hur man arbetar med sortering och klassificering med de yngsta barnen i förskolan. Vi har intervjuat arbetslag som nyligen fått kompetensutveckling i matematik. I vår bakgrund har vi utifrån ett teoretiskt perspektiv förklarat sortering och klassificering, pedagogens roll samt den pedagogiska miljön samt hur dessa faktorer kan påverka barns matematiska förmåga.  Resultatet visar att det förekommer mycket sortering och klassificering i verksamheten på förskolor i vardagsmatematiken. Pedagogerna i undersökningen menar att de vill ha mer kunskap om matematiska begrepp för att på ett bättre sätt ge barnen kunskap i matematik. Undersökningen visar hur betydelsefull pedagogen är och denna roll är inte alltid pedagogerna ute i verksamheten medvetna om.

  • 29.
    Ahmad, Qadeer
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    CUBIC CONGRUENCE EQUATIONS2012Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
    Abstract [en]

    Let Nm(f(x)) denote the number of solutions of the congruence equation f(x)≡0 (modm), where m≥2 is any composite integer and f(x) is a cubic polynomial. In this thesis, we use different theorems and corollaries to find a number of solutions of the congruence equations without solving then we also construct the general expression of corresponding congruence equations to demonstrate the solutions of the equations. In this thesis, we use Mathematica software as a tool.

  • 30.
    Ahmed, Waqas
    Linnaeus University, Faculty of Social Sciences, Department of Education and Teacher's Practice.
    Hur gick det till när nyanlända elever lärde sig algebra i Sverige jämfört med deras hemland?: En kvalitativ studie av nyanlända elevers uppfattningar om genomgångar, arbetssätt och arbetsuppgifter inom svensk matematikundervisning2018Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Syftet med studien är att kartlägga nyanlända gymnasieelevers uppfattningar om genomgångar, arbetssätt och arbetsuppgifter inom svensk matematikundervisning jämfört med matematikundervisningen i deras hemland. Elevintervjuer med 5 elever, som kombineras med klassrumsobservationer, gjordes för att samla in data. Studien befinner sig på elevnivå och resultat visar att det finns skillnader mellan Sveriges och hemlandets matematikundervisning. Eleverna tycker att matematikundervisning i Sverige är mer givande och omfattande är hemlandets. De är nöjda med lärarens inställning i klassrummet.

    Det framkommer också att eleverna känner sig begränsade på grund av språk brister i det svenska språket. På grund av sina språk brister visade eleverna rädslan att bli utskrattade och utpekade av sina klasskamrater. Studien kan vara en hjälp för lärarna som undervisar nyanlända elever om hur eleverna upplever matematikundervisning i Sverige och vilken inverkan med skillnader har på dem. 

  • 31. Albeverio, S.
    et al.
    Cianci, R.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Operator calculus for p-adic valued symbols and quantization2009In: Rendicoti Del Seminario Matematico, ISSN 0373-1243, Vol. 67, no 2, p. 137-150Article in journal (Refereed)
    Abstract [en]

    The aim of this short review is to attract the attention of the pseudo-differentialcommunity to possibilities in the development of operator calculus for symbols (dependingon p-adic conjugate variables) taking values in fields of p-adic numbers. Essentials of thiscalculus were presented in works of the authors of this paper in order to perform p-adic valuedquantization. Unfortunately, this calculus still has not attracted a great deal of attentionfrom pure mathematicians, although it opens new and interesting domains for the theory ofpseudo-differential operators.

  • 32. Albeverio, S
    et al.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Shelkovich, M
    Nonlinear singular problems of $p$-adic analysis: associative algebras of $p$-adic distributions2005In: Izvestiya. Mathematics, ISSN 1064-5632, E-ISSN 1468-4810, Vol. 69, no 2, p. 221-263Article in journal (Refereed)
  • 33. Albeverio, S
    et al.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Shelkovich, V
    Theory of p-adic distributions: linear and nonlinear models2010Book (Refereed)
  • 34. Albeverio, S
    et al.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Shelkovich, V.M.
    p-adic Colombeau-Egorov type theory of generalized functions2005In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 278, no 1-2, p. 3-16Article in journal (Refereed)
  • 35. Albeverio, Sergio
    et al.
    Cianci, Roberto
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    p-Adic valued quantization2009In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 1, no 2, p. 91-104Article, review/survey (Refereed)
    Abstract [en]

    This review covers an important domain of p-adic mathematical physics — quantum mechanics with p-adic valued wave functions. We start with basic mathematical constructions of this quantum model: Hilbert spaces over quadratic extensions of the field of p-adic numbers ℚ p , operators — symmetric, unitary, isometric, one-parameter groups of unitary isometric operators, the p-adic version of Schrödinger’s quantization, representation of canonical commutation relations in Heisenberg andWeyl forms, spectral properties of the operator of p-adic coordinate.We also present postulates of p-adic valued quantization. Here observables as well as probabilities take values in ℚ p . A physical interpretation of p-adic quantities is provided through approximation by rational numbers.

  • 36. Albeverio, Sergio
    et al.
    Gundlach, Mathias
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Lindahl, Karl-Olof
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    On the Markovian Behavior of p-Adic Random Dynamical Systems2001In: Russ. J. Math. Phys., Vol. 8, no 2, p. 135-152Article in journal (Refereed)
  • 37. Albeverio, Sergio
    et al.
    Hilbert, Astrid
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Kolokoltsov, Vassili
    Warwick University, Department of Statistics.
    Estimates uniform in time for the transition probability ofdiusions with small drift and for stochastically perturbed Newton equations1999In: Journal of theoretical probability, ISSN 0894-9840, E-ISSN 1572-9230, Vol. 12, no 2, p. 293-300Article in journal (Refereed)
    Abstract [en]

    An estimate uniform in time for the transition probability of di®usion processes with small drift is given. This also covers the case of a degenerate di®usion describing a stochastic perturbation of a particle moving according to the Newton's law. Moreover the random wave operator for such a particle is described and the analogue of asymptotic completeness is proven, the latter in the case of a su±ciently small drift.

  • 38.
    Albeverio, Sergio
    et al.
    University of Bonn, Institute of Applied Mathematics.
    Hilbert, Astrid
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Kolokoltsov, Vassili
    University of Warwick, Department of Statistics.
    Uniform Asymptotic Bounds for the Heat Kernel and the Trace of a Stochastic Geodesic Flow2012In: Stochastics: An International Journal of Probablitiy and Stochastic Processes, ISSN 1744-2508, E-ISSN 1744-2516, Vol. 84, no 2-3, p. 315-333Article in journal (Refereed)
    Abstract [en]

    We analyze the asymptotic behaviour of the heat kernel dened by a stochastically perturbedgeodesic ow on the cotangent bundle of a Riemannian manifold for small time and smalldiusion parameter. This extends WKB-type methods to a particular case of a degenerateHamiltonian. We give uniform bounds for the solution of the degenerate Hamiltonian boundaryvalue problem for small time. The results are exploited to derive two sided estimates andmultiplicative asymptotics for the heat kernel semigroup and its trace.

  • 39.
    Albeverio, Sergio
    et al.
    Universityof Bonn, Germany.
    Hilbert, Astrid
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Kolokoltsov, Vassily
    University of Warwick, UK.
    Asymptotic Expansions for the Heat Kernel and the Trace of a Stochastic Geodesic Flow2009Manuscript (preprint) (Other academic)
  • 40. Albeverio, Sergio
    et al.
    Hilbert, Astrid
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Kolokoltsov, Vassily
    Transcience of stochastically perturbed classical Hamiltonian systems and random wave operators1997In: Stochastics and Stochastics Reports, ISSN 1045-1129, E-ISSN 1029-0346, no 1-2, p. 41-55Article in journal (Refereed)
  • 41. Albeverioa, S.
    et al.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    Shelkovichg,, V.M.
    The Cauchy problems for evolutionary pseudo-differential equations over p-adic field and the wavelet theory2011In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 375, no 1, p. 82-98Article in journal (Refereed)
  • 42.
    Albinsson, Anneli
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Sundberg, Maria
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Wiktorsson, Veronika
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Matematik i förskolan: Om synsätt och arbetssätt efter kompetensutveckling2007Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Syftet med vårt arbete är att undersöka hur synsätt och arbetssätt kring matematik i förskolan förhåller sig i en kommun där det medvetet har satsats på kompetensutveckling i matematik. Vi vill veta vad matematik i förskolan innebär för lärarna och hur de arbetar med matematik samt hur de ser på kompetensutvecklingens betydelse.

    Som metod har vi använt oss av en kvantitativ metod i form av enkäter samt en kvalitativ metod i form av semistrukturerade intervjuer. Enkäterna har besvarats av lärare som deltagit i kompetensutvecklingen. Intervjuer har sedan genomförts med några av dessa samt med en rektor.

    Resultatet visar på att lärarna tycker att matematik hör hemma i förskolan. Förskolematematik innebär att synliggöra och lyfta fram matematiken i vardagliga situationer som är meningsfulla för barnen. Detta görs genom att utgå från barnens egna tankar och intressen. Enligt lärarna är det viktigt att sätta ord på matematiken och använda rätt begrepp samt att barnen lär sig under lekfulla former. Lärarna ser också sin egen roll som betydelsefull. I undersökningen framkommer att kompetensutvecklingen har haft stor betydelse för hur det arbetas med matematik i verksamheten.

  • 43.
    Alexandersson, Mikaela
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Samuelsson, Emelie
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Variation i geometriundervisning: En studie med fokus på tredimensionella objekt2019Student paper other, 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Studien är en kvalitativ studie med fokus på hur tredimensionella objekt framställs och arbetas med i matematikundervisningen. Syftet med denna studie är att undersöka hur lärare varierar undervisningsmetoder i undervisningen om geometri och tredimensionella objekt samt vilka variationsmönster som synliggörs i lärarnas undervisning. Studien utgår från tidigare granskad forskning om geometriundervisning. Studiens undersökningar har genomförts på två olika skolor i två olika kommuner i södra Sverige där båda klasserna som varit en del av studien tillhört årskurs 6. Den datainsamling som gjorts bygger på fem genomförda observationer av två olika klasser samt intervjuer av undervisande lärare för dessa klasser. Studiens resultat visar bland annat att geometriundervisning där läromedel kompletteras med andra undervisningsmetoder såsom konkret material kan vara gynnande för elevers inlärning och för lärare vid undervisning om tredimensionella objekt.

  • 44.
    Alfelt, Gustav
    et al.
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Lövdahl, Susanna
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Undersökning av metoder för att analysera och modellera efter stora datamaterial, hantering av programmet SPSS samt en studie i Kronoberg läns gymnasieelevers psykiska ohälsa2008Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Landstinget i Kronobergs län utförde 2006 en enkätundersökning bland elever i årskurserna 5, 8 och gymnasiets årskurs 2. Datamaterialet för gymnasieeleverna har studerats i detta arbete där den psykiska ohälsan och alkoholkonsumtion varit i fokus.

    Det statistiska arbetet är uppdelat i tre delar: Metodbeskrivning, hantering av programmet SPSS samt en undersökning av gymnasieelevers psykiska ohälsa och alkoholkonsumtion. I metodbeskrivningen har metoderna dikotomisering, logistisk regression, Wald, faktorinteraktion och kategorisering beskrivits. För hantering av stora datamaterial samt för att kunna ta fram statistiska samband rörande psykisk ohälsa och alkoholkonsumtion har programmet SPSS använts och illustrerats i arbetet. De förklarande variablerna som varit mest inflytelserika mot den psykiska ohälsan var ’Tycker du att du är frisk?’, ’Har du någonsin använt läkemedel tillsammans med alkohol i berusningssyfte’ samt ’Trivs du med livet?’. När undersökningen för gymnasieelevers alkoholkonsumtion studerades var de gemensamma signifikanta faktorerna för både killar och tjejer ’Skolkar du?’, ’Känner du dig ofta irriterad eller på dåligt humör?’ och ’Har någon vuxen behandlat dig fysiskt illa?’ där samtliga förklarande faktorer bidrog till en ökad sannolikhet att konsumera mycket alkohol. Då undersökning av variabeln symtom, variabeln oro samt deras interaktion studerades för killar respektive för tjejer mot den psykiska ohälsan kunde man se att variabeln symtom för killar var inflytelserik samt interaktionen mellan oro och symtom. För tjejerna var däremot variabeln oro inflytelserik samt variabeln symtom men inte deras interaktion.

  • 45.
    Algotsson, Sarah
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Tror jag att jag kan det här?: En kvantitativ studie om elevers tilltro till sin egen matematiska förmåga i relation till faktisk prestation i metod-och problemlösningsuppgifter  2018Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesis
    Abstract [en]

    This quantitative study focuses on how students perceive their own mathematical ability, what degree of confidence students have in their ability and how they perform in mathematical tasks that focuses on method and problem solving ability. The literature underlying the study is based on the importance of believing in your own ability, the ability to assess yourself and your ability, and the importance of mathematics to maintain and create opportunity to develop self-perception and confidence in your own ability. The research method used to answer the questions of the study is of a quantitative nature and consists of a self-assessment form that aims to visualize the students' degree of confidence in their own mathematical ability and a mathematics test where students solve method and problem solving tasks. The dissolution rate of the different types of tasks is analyzed in relation to the students' degree of confidence. The study is pervaded by a social psychological perspective and the result is theorized by starting from the social psychological theory of self-efficacy as well as symbolic interactionism. To analyze the relationships, the material has also been analyzed from a statistical perspective, using the SPSS analyzing tool. The result of the study shows that there seems to be a connection between the students' degree of confidence in their mathematical ability and how they perform in both method and problem solving tasks.

  • 46.
    Alice, Reinaudo
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Empirical testing of pseudo random number generators based on elliptic curves2015Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [en]

    An introduction on random numbers, their history and applications is given, along with explanations of different methods currently used to generate them. Such generators can be of different kinds, and in particular they can be based on physical systems or algorithmic procedures. The latter type of procedures gives rise to pseudo-random number generators. Specifically, several such generators which are based on elliptic curves are examined. Therefore, in order to ease understanding, a basic primer on elliptic curves over fields and the operations arising from their group structure is also provided. Empirical tests to verify randomness of generated sequences are then considered. Afterwards, there are some statistical considerations and observations about theoretical properties of the generators at hand, useful in order to use them optimally. Finally, several randomly generated curves are created and used to produce pseudo-random sequences which are then tested by means of the previously described generators. In the end, an analysis of the results is attempted and some final considerations are made.

  • 47.
    Aliu, Armend
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Matematiksvårigheter: textuppgifter inom algebra2006Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    I detta arbete fördjupar jag mina kunskaper omkring elevernas svårigheter, kring dem matematiska begrepp och kring formuleringen av de olika textuppgifter som framkommer inom avsnittet algebra. Här ville jag ta reda på om det är matematiska begreppen eller om det är formuleringarna i matematikuppgifterna som eleverna har svårt att förstå samtidigt som jag ville se vilka strategier som eleverna använder sig av när de får olika typer av uppgifter inom avsnittet algebra. De klasser som jag ska göra min undersökning på är två åk 1 klasser som går handelsprogrammet. Detta medför att de läser matematik –A kursen och håller på med avsnittet som handlar om algebra och ekvationer. Jag utför en stor undersökning i form av prov som består av 8 uppgifter. Efter att provet genomförs och rättas så väljs några elever för en intervju. Förhoppningen var att med hjälp av intervjun komma underfund med vad i dessa uppgifter eleverna har problem med. Arbetet visar att elever oftast är osäkra när det gäller de olika matematiska begreppen. När det gäller formuleringen i textuppgifter har många elever i min undersökning svårt att hålla isär och hämta in rätt information för att kunna lösa uppgifterna rätt. Vidare visar arbetet att majoriteten av eleverna har problem med formuleringarna i uppgiften dvs. när uppgiften är lång och mycket information ges.

  • 48.
    Alkmark, Niklas
    Växjö University, Faculty of Humanities and Social Sciences, School of Education.
    Praktisk matematik ur ett lärarperspektiv2006Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Abstract: I rapporten intervjuas fyra mellanstadielärare på en 4-6 skola i Borås stad, om deras syn på praktisk matematik. I vilken utsträckning använder sig lärarna av praktisk matematik, när använder dom det, hur ser de på själva uppgiften samt om uppgifterna ökar elevernas motivation, lust och förståelse för matematik.

    Intervjuerna deklarerar att det finns en stor osäkerhet i hur praktisk matematik skall användas och vilka fördelar den för med sig. Lärarna anser att det bedrivs för lite praktisk matematik på skolan, bokens trygghet lockar allt för mycket. Lärarna poängterar också att vissa områden är lättare än andra att applicera praktisk matematik på. Det finns inte någon direkt uttalad linje när det gäller praktiska moment utan det kommer när det kommer. Däremot är man överens om att lusten och motivationen ofta stärks och att de svaga eleverna får möjlighet att lyckas. Vissa forskare menar att ett praktiskt arbetssätt är helt nödvändigt för att ta upp kunskapen på en ny nivå. Kunskapen måste kunna sättas in i en kontext för att djupinlärning skall erhållas.

  • 49.
    All Carreberg, Susanna
    et al.
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Karlsson, Lina
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    Tal och tanke: hur problemlösningsdiskurser förändras genom samarbete2019Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
    Abstract [sv]

    Syftet med denna studie är att beskriva processen som sker när elever arbetar tillsammans med en problemlösningsuppgift de tidigare inte kunnat lösa vid enskilt arbete. Fokus har varit på förändrad användning av Sfards (2008) nyckelbegrepp: ämnesspecifika ord, visuella mediatorer, rutiner och berättelser samt vilka diskursförändringar som synliggjorts. Studien är kvalitativ och empirin har samlats in genom observationer av problemlösningsarbetet, ljudinspelningar under pararbeten och bildupptagningar av elevmaterialet. Totalt tio observationer av gemensamt arbete genomfördes och transkriberades och av dessa djupanalyserades fem transkriberingar med hjälp av flödesscheman och Sfards (2008) nyckelbegrepp. Resultatet visar att eleverna i studien använde fler nyckelbegrepp vid den gemensamma problemlösningen och därmed ingick i diskursförändringar som bidrog till att föra problemlösningen framåt. Visuella mediatorer och användningen av tid visade sig vara viktiga aspekter för användning av fler nyckelbegrepp och förändring av diskurser.

  • 50. Allahverdyan, A
    et al.
    Khrennikov, Andrei
    Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
    Nieuwenhuizen, Th. M
    Brownian entanglement2005In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 72, p. 032102-Article in journal (Refereed)
1234567 1 - 50 of 1511
CiteExportLink to result list
Permanent link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf