Modeling a fertilisant dynamic transformation in soil-plant system
|
|
- Shon Brown
- 6 years ago
- Views:
Transcription
1 Revue des Energies Renouvelales Vol. 6 N () Modeling a fertilisant dynamic transformation in soil-plant system Z. Aouachria * Energetics Applied Physics Laoratory, Department of Physics Faculty Hadj Lahdar University, Av. Chahid Bouhlouf Mohamed El Hadi, Batna, Algeria (reçu le Juillet accepté le Mars ) Astract - The application of fertilizers is one of the conditions for otaining the resistant cultures. Effectiveness of contriution fertilizers such as phosphorus, the nitrogen, etc depends on many factors to nowing: properties of the soil, the request of the plants out of fertilizers (phosphorescence for eample) and also on the form and the application method of fertilizers. Several results show that rational of organic and inorganic manure applications not only increase the production ut also can support a stale level of the production. The mathematical model of the transformation of fertilizer in the system soil plant is presented in this wor. We showed that there is a stale mode for the system soil plants. The strategy of the fertilizer application, permitted to provide this regime, has een determinate. Résumé L application des engrais est l une des conditions pour otenir des cultures résistantes. L efficacité de la contriution des engrais, tels que le phosphore, l azote, dépend de nomreu facteurs à savoir: les propriétés du sol, la demande des plantes en fertilisants (phosphorescence par eemple) et aussi sur la forme et la méthode d'application de ces engrais. Plusieurs résultats montrent que l application rationnelle des engrais organiques et inorganiques est non seulement d augmenter la production, mais prend également en charge un niveau stale de la production. Le modèle mathématique de la transformation d engrais dans le système sol-plante est présenté dans ce travail. Nous avons montré qu il eiste un mode stale pour le système solplante. La stratégie de l application des engrais, permettant à fournir ce régime, a été déterminée. Key words: Modeling - Dynamic Transformation - Fertilizer - System Soil-plant - Stale mode.. INTRODUCTION The development of information and technology in the field of the chemical products for agriculture relates to a numer of majorities of science directions of modern agriculture. The level of the quantitative description of the agro-ecosystem, lie an oject of research, determines the scientific value, the importance of the practice and the competitiveness of the agro-industrial one. An important element of advanced information on agro-technology is the mathematical model. Lie we let us now it that, for eample, phosphoric manures relate to the macro-element of the nutrition of the plants. The regular use of manures increases all shapes of the nitrogen s or phosphoric compounds. * aouachria@gmail.com
2 Z. Aouachria The group of the mineral components, such as the calcium, iron, and aluminum phosphate, is eposed to the attitude of the important changes quantitative and qualitative. The quantity of the ase forms of the mineral phosphate components in the various grounds is determined y the characteristics of the processes of these grounds. The proportion of aluminum phosphate increases consideraly in the various grounds ecause this is due to the complete soluility of phosphoric manures in water. In semi-arid agriculture for the caronated grounds, a long application of manures maes the influence appreciale, Guseynov (96) and Mamdov (96). The residual component of fertilization on the nutrition of the plant activates phosphoric salt. The share of a compound of fertilization of manures can e in contact with a structure of the organic sustances, roots of the plants and teture of ground. They ecome accessile to the plants in a process of mineralization. The application of the radioactive isotopes changes the design aout the character of the transformation of the minerals in the grounds and the availaility of their plants. For the first year of fertilization y manures, the plants use only a part of entering manure and the ground can e enriched for eample y digestile phosphates. The remainder is maintained in motionless form in the ground for an application or closer action. At the time of a contriution in ecess of the components in the grounds, the nutrition of the seedlings is carried out after action of the applications of old manures. It is possile to reduce, y such grounds, or to always correct the application of the quantity of components of fertilization. The strategy of fertilization is the principle of recommendation to otain the development of agriculture. It is ovious that to continue to use this practice of wor will have as consequence the construction of a fertile ground and increases its productivity, Wang De-ren (998).. GENERATING THE PROBLEM Taing into account these reasons, we want to develop a mathematical model of the dynamics of made-up fertilizing in the system soil plants. The mechanism of the transformation of this element, contained in manure, is given y the following diagram (Fig. ). Fig. : Diagram of the mechanism of fertilizer transformation
3 Modeling a fertilisant dynamic transformation in soil-plant system The dependence of the dynamics of the asorption of made up fertilizing y the plants, G f, with its quantity in the soil, f, is represented in the following diagram, (Fig. ). Fig. : Variation of the asorption of made up fertilizing y the plant The relationship etween G f and f depends mainly on the plant stage of growth. Part OM corresponds to a case where the quantity of made-up fertilizing does not satisfy the minimum need for the plant. Part MN corresponds to the case where the quantity is not needed for the plant and the asoring quantity is proportional to the quantity of fertilizer, f, and Part NP corresponds to the supersaturating case, when asorption of the plant decreases and accurate superaundance in the plant (poisoning effect). From Dzhafarov (986) we show the result of the mechanism of transition of many forms of fertilizing component for the vineyard, (Fig. ). We will simulate the variation of the quantity of various forms of fertilizer during one year. It is nown, Dzhafarov (986), that each year roughly % of phosphorus in moile form passes in the motionless form and % are required y the plant. In the same way, not less than % of phosphorus reserves in the soil are accessile to the plants. Another part of phosphorus in the soil is sujected to the difficulties of access or inaccessiility in the made up ones for the plants. Fig. : the mechanism of transition from the various forms components fertilizing for the vineyard
4 To moile To immoile To manure To manure To plant Losses 6 Z. Aouachria It is considered that the quantity of the phosphorus which was drawn up in the soil lie manure remains for the years a small quantity. The Tale elow reflects the quantitative variations of the various shapes of fertilizer. Tale : Quantity variations of the various forms of fertilizing compound Moile in soil In manure of st year In manure of rd year In manure of rd year Immoile in soil a a µ µ a a. MODELING OF THE DYNAMIC TRANSFORMATION OF COMPONENT IN A SYSTEM SOIL PLANT In order to determine the equations controlling the dynamic change of the products of manures in the system soil plants, noted y; and quantities of a component in the soil, in the moile and motionless form respectively, at the eginning of the period of the seed (either = ). In the same way we indicate y, and the quantities of this component, which were put in the soil in the current year, that in the previous year and the year which respectively precedes the last year y fertilization. Suitale parameters of the eginning of the net year indicated y h with j =,,, and. For the calculation of the assessment of the various forms we can write, from Tale, thus: µ µ The total assumed compound flu which passes in the plant is calculated y () () We notice that all the coefficients of the equations () and () are positive and are connected y group relations epressing the conservation laws of the total fertilizing component quantity, so we have;
5 Modeling a fertilisant dynamic transformation in soil-plant system 7 µ µ It comes to us the idea to wonder aout certain questions. Is it possile each year, to use an identical quantity of manure to ensure the stailization of the quantity of the various forms from made up fertilizing? It is possile thus to satisfy the needs for the plant in certain fertilizing compound?. Study of stailization We say that there is a stale mode, if with the annual urial of a constant quantity of manure in the soil, quantity of composed in moile form and motionless echange in wea and unimportant affinity. For a given quantity of the component put in the soil in the current year, equations: u, there is a single stale mode. This translates to the system of () µ u µ () We replace and in equation () y ( µ u ) and ( µ µ u ). Then the system () is reduced to the equivalent matri equation: ( E A) B () with B, A and u µ µ. E is the unit matri and For simplicity writing we omit the superscript. By taing into account the relations of conservation () one otains. det (E A ) ( ) a (6) u is a fied point of the system of equations (), for a given value of u with: / and ( a ) / a. Consequently the vector u u u µ u. Process of stailization Let us choose the mode u. For the rd year the dynamics of variation of made up fertilizer will e descried y the system of equations according to:
6 8 Z. Aouachria a a µ u µ a a u u (7) By replacing follows: and in the second equation of this system, we can write it as A B (8) where,,,, B (,) and µ µ µ.. Proposal That is to say u u u for a given value, u, if the condition a a a (9) is checed, then lim( ) u To justify it, let us consider ((A()) ) From this one has A where A ma[a a,a a ] According to the condition () a a a a a a a a Consequently, the matri A is a contracted form and { u } (=,,, ) is lie a fundamental sequence: Then u Au u u with (, ) (A u) ( Au u) A( u ) Then the proposal is justified. In addition, the soil-plant system satisfying the condition (9) is termed favourale.
7 Modeling a fertilisant dynamic transformation in soil-plant system 9.. Proposal For a certain reserve of compound fertilizer in a favourale soil, it is possile to mae such a stailizing element, which for the third year, would meet the needs of plants in phosphorus. To proof this, note, the total need of the plant in this compound, is nown. Let s write the equation of the assessment u u uµ uµ () From this, we can write: u () ( µ µ ) Then such choice (preceding proposal) will result in stailization and simultaneously will satisfy the need for the plant. Let us suppose that at the eginning of the -th year the quantities of the various forms of phosphorus (,,, ) are nown. Whether are possile operating y the quantity of phosphorus, apply in to soil, u, u, u, u, during sequence years to achieve a stale mode, i.e., that on ending years, quantity of phosphorus, accordingly ecame: u } =,,, will e called an application strategy of u, u, µ u, µ u, for the eforehand chosen value u. In the case, { fertilizing compound... Proposal For a any initial set () and final epectations (,,, ) eist the strategy to apply a fertilizing compound, if the following inequality is true. a (a a (a µ ( a ) (a a a a ( a (a a Let us proof this proposal. For doing this, we note that ) (a a µ )) µ ) ) () B a a a a µ Then the assessment of composed for the fourth year end must e descried y the following sequence: B Bu B Bu u B B u Bu u
8 Z. Aouachria B B u B u Bu u The last equation can e written in the equivalent form B B u B u Bu u And so on. The last equation can e written as u u B () u u The system () is solved if its matri is not degenerated. So let us compute the determinant of its matri; det det µ µ det By the form, the columns of determinant are lined y the evident relations A Consequently det And if V is not an appropriate eigenvector of the matri A to one of its eigenvalues, which is equal to, aa (a a ) (( a a ( )a )/) i.e if the previous inequality is true, we have: a a (a a µ µ, a ) a (a ( a a Taing into account an eplicit mode eigenvalues, ().. CONCLUSION a (a µ ) µ )), we otain the condition We have estalished that the annual regulation dose of applied fertilizer is most effective approach for a given soil plant system, which is characterized y a whole
9 Modeling a fertilisant dynamic transformation in soil-plant system comple of parameters when calculated. Also we have shown that it is a stale regime for a system soil plant. A strategy has een determinate to otain this stale regime. Then, according to the initial parameters, it is possile to wor directly under the regime of the application of a constant quantity of the component in the soil or to estalish this regime along the first four years. REFERENCES [] R.K. Guseynov, Conditions of Increasing the Effectiveness of Phosphoric Fertilizers, Bau s, Ana s Pulishing House Azera, 96. [] G.Sh. Mamdov, Ecologecal Models of the Fertility of the Basic Types of Soils of Azerajan, A series in Agriculture, AzNIINTI. Bau 6s, 99. [] Wang De-ren and Lu Wan-fang, Nutrient Balance of Nitrogen, Phosphorus and Potassium under Triple Cropping Systems Based on Rice, Better Crops International, Vol., N, 998. [] M.I. Dzhafarov, Prolem of Phosphates in the Soils in Azerajan Agriculture, Bau 88, Ana s Pulishing House Azera, 986 [] A.B. Pashayev, E.N. Saziev, G.M. Mammadov, S.M Eyuova and V.F. Guliyev, Mathematical Modeling of the Transformation Dynamics of Phosphorus in Soil Plant, Selçu Journal of Applied Mathematical, Vol. 7, N, pp. -, 6.
Module 9: Further Numbers and Equations. Numbers and Indices. The aim of this lesson is to enable you to: work with rational and irrational numbers
Module 9: Further Numers and Equations Lesson Aims The aim of this lesson is to enale you to: wor with rational and irrational numers wor with surds to rationalise the denominator when calculating interest,
More informationab is shifted horizontally by h units. ab is shifted vertically by k units.
Algera II Notes Unit Eight: Eponential and Logarithmic Functions Sllaus Ojective: 8. The student will graph logarithmic and eponential functions including ase e. Eponential Function: a, 0, Graph of an
More informationConcentration of magnetic transitions in dilute magnetic materials
Journal of Physics: Conference Series OPEN ACCESS Concentration of magnetic transitions in dilute magnetic materials To cite this article: V I Beloon et al 04 J. Phys.: Conf. Ser. 490 065 Recent citations
More informationf 0 ab a b: base f
Precalculus Notes: Unit Eponential and Logarithmic Functions Sllaus Ojective: 9. The student will sketch the graph of a eponential, logistic, or logarithmic function. 9. The student will evaluate eponential
More informationCalculations of Excitation Functions of (n, p), (n, ) and (n, 2n) Reaction Cross-Sections for Stable Isotopes of Ni from Reaction Threshold to 20 MeV
Journal of Nuclear and Particle Physics 2013, 3(4): 100-107 DOI: 10.5923/j.jnpp.20130304.07 Calculations of Excitation Functions of (n, p), (n, ) and (n, 2n) Reaction Cross-Sections for Stale Isotopes
More informationPolynomial Degree and Finite Differences
CONDENSED LESSON 7.1 Polynomial Degree and Finite Differences In this lesson, you Learn the terminology associated with polynomials Use the finite differences method to determine the degree of a polynomial
More informationExact Free Vibration of Webs Moving Axially at High Speed
Eact Free Viration of Wes Moving Aially at High Speed S. HATAMI *, M. AZHARI, MM. SAADATPOUR, P. MEMARZADEH *Department of Engineering, Yasouj University, Yasouj Department of Civil Engineering, Isfahan
More information2010 Crop Year Fertilizer Report
2010 Crop Year Fertilizer Report This report is based on the tonnage of fertilizer reported from licensed dealers that has been either distributed OR sold in Minnesota 1. Each registrant under section
More informationSection 8.5. z(t) = be ix(t). (8.5.1) Figure A pendulum. ż = ibẋe ix (8.5.2) (8.5.3) = ( bẋ 2 cos(x) bẍ sin(x)) + i( bẋ 2 sin(x) + bẍ cos(x)).
Difference Equations to Differential Equations Section 8.5 Applications: Pendulums Mass-Spring Systems In this section we will investigate two applications of our work in Section 8.4. First, we will consider
More informationThe Airy function is a Fredholm determinant
Journal of Dynamics and Differential Equations manuscript No. (will e inserted y the editor) The Airy function is a Fredholm determinant Govind Menon Received: date / Accepted: date Astract Let G e the
More informationCritical value of the total debt in view of the debts. durations
Critical value of the total det in view of the dets durations I.A. Molotov, N.A. Ryaova N.V.Pushov Institute of Terrestrial Magnetism, the Ionosphere and Radio Wave Propagation, Russian Academy of Sciences,
More informationOn the large time behavior of solutions of fourth order parabolic equations and ε-entropy of their attractors
On the large time ehavior of solutions of fourth order paraolic equations and ε-entropy of their attractors M.A. Efendiev & L.A. Peletier Astract We study the large time ehavior of solutions of a class
More informationResonance Effects on Lifetime of Low Earth Orbit Satellites
Resonance Effects on Lifetime of Low Earth Orit atellites Alain Lamy, Vincent Morand, Clémence Le Fèvre and Huert Fraysse CNE, 18 Avenue Edouard Belin, 31401 Toulouse Cedex 9, +3356173561, Alain.Lamy@cnes.fr
More informationINTERPRETATION OF THE SHEAR STRENGTH OF UNSATURATED SOILS IN UNDRAINED LOADING CONDITIONS
INTERPRETATION OF THE SHEAR STRENGTH OF UNSATURATED SOILS IN UNDRAINED LOADING CONDITIONS S.K. Vanapalli, D.E. Pufahl, and D.G. Fredlund Department of Civil Engineering, University of Saskatchewan, Saskatoon,
More informationA NEW HYBRID TESTING PROCEDURE FOR THE LOW CYCLE FATIGUE BEHAVIOR OF STRUCTURAL ELEMENTS AND CONNECTIONS
SDSS Rio 010 STABILITY AND DUCTILITY OF STEEL STRUCTURES E. Batista, P. Vellasco, L. de Lima (Eds.) Rio de Janeiro, Brazil, Septemer 8-10, 010 A NEW HYBRID TESTING PROCEDURE FOR THE LOW CYCLE FATIGUE BEHAVIOR
More informationSummation Formulas. Math Review. Let N > 0, let A, B, and C be constants, and let f and g be any functions. Then: S1: factor out constant
Computer Science Dept Va Tech August 005 005 McQuain WD Summation Formulas Let > 0, let A, B, and C e constants, and let f and g e any functions. Then: f C Cf ) ) S: factor out constant g f g f ) ) ))
More informationExploring Lucas s Theorem. Abstract: Lucas s Theorem is used to express the remainder of the binomial coefficient of any two
Delia Ierugan Exploring Lucas s Theorem Astract: Lucas s Theorem is used to express the remainder of the inomial coefficient of any two integers m and n when divided y any prime integer p. The remainder
More informationLogarithms. For example:
Math Review Summation Formulas Let >, let A, B, and C e constants, and let f and g e any functions. Then: f C Cf ) ) S: factor out constant ± ± g f g f ) ) )) ) S: separate summed terms C C ) 6 ) ) Computer
More informationDynamical Systems Solutions to Exercises
Dynamical Systems Part 5-6 Dr G Bowtell Dynamical Systems Solutions to Exercises. Figure : Phase diagrams for i, ii and iii respectively. Only fixed point is at the origin since the equations are linear
More informationINTRODUCTION. 2. Characteristic curve of rain intensities. 1. Material and methods
Determination of dates of eginning and end of the rainy season in the northern part of Madagascar from 1979 to 1989. IZANDJI OWOWA Landry Régis Martial*ˡ, RABEHARISOA Jean Marc*, RAKOTOVAO Niry Arinavalona*,
More informationA Stable and Convergent Finite Difference Scheme for 2D Incompressible Nonlinear Viscoelastic Fluid Dynamics Problem
Applied and Computational Mathematics 2018; (1): 11-18 http://www.sciencepulishinggroup.com/j/acm doi: 10.11648/j.acm.2018001.12 ISSN: 2328-5605 (Print); ISSN: 2328-5613 (Online) A Stale and Convergent
More informationLinear Programming. Our market gardener example had the form: min x. subject to: where: [ acres cabbages acres tomatoes T
Our market gardener eample had the form: min - 900 1500 [ ] suject to: Ñ Ò Ó 1.5 2 â 20 60 á ã Ñ Ò Ó 3 â 60 á ã where: [ acres caages acres tomatoes T ]. We need a more systematic approach to solving these
More informationSchool of Business. Blank Page
Equations 5 The aim of this unit is to equip the learners with the concept of equations. The principal foci of this unit are degree of an equation, inequalities, quadratic equations, simultaneous linear
More informationNumber Plane Graphs and Coordinate Geometry
Numer Plane Graphs and Coordinate Geometr Now this is m kind of paraola! Chapter Contents :0 The paraola PS, PS, PS Investigation: The graphs of paraolas :0 Paraolas of the form = a + + c PS Fun Spot:
More informationPrimordial inflation and present-day cosmological constant from extra dimensions
3 January 22 Physics Letters B 524 22) 21 25 www.elsevier.com/locate/npe Primordial inflation and present-day cosmological constant from extra dimensions Carl L. Gardner 1 Department of Mathematics Arizona
More informationRATIONAL EXPECTATIONS AND THE COURNOT-THEOCHARIS PROBLEM
RATIONAL EXPECTATIONS AND THE COURNOT-THEOCHARIS PROBLEM TÖNU PUU Received 18 April 006; Accepted 1 May 006 In dynamic models in economics, often rational expectations are assumed. These are meant to show
More information2012 Crop Year Fertilizer Report
2012 Crop Year Fertilizer Report This report is based on the tonnage of fertilizer reported from licensed dealers that has been either distributed OR sold in Minnesota. Fertilizer can be reported as distributed
More information8.1. Measurement of the electromotive force of an electrochemical cell
8.. Measurement of the electromotive force of an electrochemical cell Ojectives: Measurement of electromotive forces ( the internal resistances, investigation of the dependence of ) and terminal voltages
More informationAgricultural Fertilizer Applicator Soil Test Results What the heck do they mean?
Agricultural Fertilizer Applicator Soil Test Results What the heck do they mean? Northeast Ohio Pesticide Safety Education Program Lee Beers, OSU Extension Trumbull County beers.66@osu.edu 330-638-6783
More informationMath 216 Second Midterm 28 March, 2013
Math 26 Second Midterm 28 March, 23 This sample exam is provided to serve as one component of your studying for this exam in this course. Please note that it is not guaranteed to cover the material that
More informationSharp estimates of bounded solutions to some semilinear second order dissipative equations
Sharp estimates of ounded solutions to some semilinear second order dissipative equations Cyrine Fitouri & Alain Haraux Astract. Let H, V e two real Hilert spaces such that V H with continuous and dense
More informationResponses of two nonlinear microbial models to warming and increased carbon input
Biogeosciences, 13, 887 92, 216 www.iogeosciences.net/13/887/216/ doi:1.5194/g-13-887-216 Author(s) 216. CC Attriution 3. License. Responses of two nonlinear microial models to warming and increased caron
More informationDerivation and constants determination of the Freundlich and (fractal) Langmuir adsorption isotherms from kinetics
IOP onference Series: Materials Science and Engineering PAPER OPEN AESS Derivation and constants determination of the Freundlich and (fractal) Langmuir adsorption isotherms from kinetics To cite this article:
More informationPRECALCULUS GROUP FINAL FIRST SEMESTER Approximate the following 1-3 using: logb 2 0.6, logb 5 0.7, 2. log. 2. log b
PRECALCULUS GROUP FINAL FIRST SEMESTER 008 Approimate the following 1-3 using: log 0.6, log 5 0.7, and log 7 0. 9 1. log = log log 5 =... 5. log 10 3. log 7 4. Find all zeros algeraically ( any comple
More information1. Define the following terms (1 point each): alternative hypothesis
1 1. Define the following terms (1 point each): alternative hypothesis One of three hypotheses indicating that the parameter is not zero; one states the parameter is not equal to zero, one states the parameter
More informationInvestigation of a Ball Screw Feed Drive System Based on Dynamic Modeling for Motion Control
Investigation of a Ball Screw Feed Drive System Based on Dynamic Modeling for Motion Control Yi-Cheng Huang *, Xiang-Yuan Chen Department of Mechatronics Engineering, National Changhua University of Education,
More informationCopyrighted by Gabriel Tang B.Ed., B.Sc. Page 111.
Algera Chapter : Polnomial and Rational Functions Chapter : Polnomial and Rational Functions - Polnomial Functions and Their Graphs Polnomial Functions: - a function that consists of a polnomial epression
More informationINORGANIC FERTILISERS NOT COVERED BY SUBCLASSES C05B, C05C; FERTILISERS PRODUCING CARBON DIOXIDE
CPC - C05D - 2017.08 C05D INORGANIC FERTILISERS NOT COVERED BY SUBCLASSES C05B, C05C; FERTILISERS PRODUCING CARBON DIOXIDE Fertiliser compositions containing potassium, calcium, magnesium and others, including
More informationPADEU. The 1 : 2 resonance in the Sitnikov problem. 1 Introduction. T. Kovács 1
PADEU PADEU 7, (6) ISBN 963 463 557, ISSN 38-43 c Pulished y the Astron. Dept. of the Eötvös Univ. The : resonance in the Sitnikov prolem T. Kovács Eötvös University, Department of Astronomy, H-58 Budapest,
More information5Higher-degree ONLINE PAGE PROOFS. polynomials
5Higher-degree polnomials 5. Kick off with CAS 5.2 Quartic polnomials 5.3 Families of polnomials 5.4 Numerical approimations to roots of polnomial equations 5.5 Review 5. Kick off with CAS Quartic transformations
More informationLet N > 0, let A, B, and C be constants, and let f and g be any functions. Then: S2: separate summed terms. S7: sum of k2^(k-1)
Summation Formulas Let > 0, let A, B, and C e constants, and let f and g e any functions. Then: k Cf ( k) C k S: factor out constant f ( k) k ( f ( k) ± g( k)) k S: separate summed terms f ( k) ± k g(
More informationMathematical Ideas Modelling data, power variation, straightening data with logarithms, residual plots
Kepler s Law Level Upper secondary Mathematical Ideas Modelling data, power variation, straightening data with logarithms, residual plots Description and Rationale Many traditional mathematics prolems
More informationStenström, Kristina; Skog, Göran; Georgiadou, Elisavet; Genberg, Johan; Mellström, Anette
guide to radiocaron units and calculations tenström, Kristina; kog, Göran; Georgiadou, Elisavet; Generg, Johan; Mellström, nette Pulished: 011-01-01 Link to pulication Citation for pulished version (P):
More informationUpper Bounds for Stern s Diatomic Sequence and Related Sequences
Upper Bounds for Stern s Diatomic Sequence and Related Sequences Colin Defant Department of Mathematics University of Florida, U.S.A. cdefant@ufl.edu Sumitted: Jun 18, 01; Accepted: Oct, 016; Pulished:
More informationème Congrès annuel, Section technique, ATPPC th Annual Meeting, PAPTAC
2000-86 ème Congrès annuel, Section technique, ATPPC 2000-86th Annual Meeting, PAPTAC Use of components of formation for predicting print quality and physical properties of newsprint Jean-Philippe Bernié,
More informationChaos and Dynamical Systems
Chaos and Dynamical Systems y Megan Richards Astract: In this paper, we will discuss the notion of chaos. We will start y introducing certain mathematical concepts needed in the understanding of chaos,
More informationOBJECTIVE 4 EXPONENTIAL FORM SHAPE OF 5/19/2016. An exponential function is a function of the form. where b > 0 and b 1. Exponential & Log Functions
OBJECTIVE 4 Eponential & Log Functions EXPONENTIAL FORM An eponential function is a function of the form where > 0 and. f ( ) SHAPE OF > increasing 0 < < decreasing PROPERTIES OF THE BASIC EXPONENTIAL
More informationON THE COMPARISON OF BOUNDARY AND INTERIOR SUPPORT POINTS OF A RESPONSE SURFACE UNDER OPTIMALITY CRITERIA. Cross River State, Nigeria
ON THE COMPARISON OF BOUNDARY AND INTERIOR SUPPORT POINTS OF A RESPONSE SURFACE UNDER OPTIMALITY CRITERIA Thomas Adidaume Uge and Stephen Seastian Akpan, Department Of Mathematics/Statistics And Computer
More informationSection 0.4 Inverse functions and logarithms
Section 0.4 Inverse functions and logarithms (5/3/07) Overview: Some applications require not onl a function that converts a numer into a numer, ut also its inverse, which converts ack into. In this section
More informationAvailable online at Energy Procedia 100 (2009) (2008) GHGT-9
Availale online at www.sciencedirect.com Energy Procedia (29) (28) 655 66 Energy Procedia www.elsevier.com/locate/procedia www.elsevier.com/locate/xxx GHGT-9 Pre-comustion CO 2 capture for IGCC plants
More informationPRE-CALCULUS: by Finney,Demana,Watts and Kennedy Chapter 3: Exponential, Logistic, and Logarithmic Functions 3.1: Exponential and Logistic Functions
PRE-CALCULUS: Finne,Demana,Watts and Kenned Chapter 3: Eponential, Logistic, and Logarithmic Functions 3.1: Eponential and Logistic Functions Which of the following are eponential functions? For those
More informationElectronic properties of Zintl phase hydride for hydrogen storage
Revue des Energies Renouvelables Vol. 17 N 2 (2014) 201 206 Electronic properties of Zintl phase hydride for hydrogen storage K. Khodja and Y. Bouhadda Unité de Recherche Appliquée en Energies Renouvelables,
More informationDEPTH-PROFILING OF THE RESIDUAL ACTIVITY INDUCED BY HIGH- ENERGY URANIUM IONS IN THIN STAINLESS STEEL TARGET*
EPTH-PROFILIN OF THE RESIUAL ACTIVITY INUCE BY HIH- ENERY URANIUM IONS IN THIN STAINLESS STEEL TARET* I. Strasi #, SI Helmholtzzentrum für Schwerionenforschung, Plancstrasse, 69 armstadt, ermany, on leave
More informationFertilisers. Topic 12 National 5 Chemistry Summary Notes
Fertilisers LI 1 Topic 12 National 5 Chemistry Summary Notes Chemistry is extremely important to the future of food production. As the population of the world increases, more and more efficient ways of
More informationMathematics Background
UNIT OVERVIEW GOALS AND STANDARDS MATHEMATICS BACKGROUND UNIT INTRODUCTION Patterns of Change and Relationships The introduction to this Unit points out to students that throughout their study of Connected
More informationSoil - the battery of your business
Soil - the battery of your business By DAVID HANLON The basis of our farm business is the soil and increasingly all growers are focusing their attention on this vital resource. Just what state it is in
More informationThree Models and Some Theorems on Decomposition of Boolean Functions
Three Models and Some Theorems on Decomposition of Boolean Functions Steinach, Bernd Freierg University of Mining and Technology stein@informati.tu-freierg.de Zarevsij, Aradij Institute of Engineering
More informationarxiv: v1 [hep-ph] 20 Dec 2012
Decemer 21, 2012 UMD-PP-012-027 Using Energy Peaks to Count Dark Matter Particles in Decays arxiv:1212.5230v1 [hep-ph] 20 Dec 2012 Kaustuh Agashe a, Roerto Franceschini a, Doojin Kim a, and Kyle Wardlow
More informationChromatic roots as algebraic integers
FPSAC 2012, Nagoya, Japan DMTCS proc. AR, 2012, 543 554 Chromatic roots as algebraic integers Adam Bohn 1 1 School of Mathematical Sciences, Queen Mary, University of London, London, E1 4NS, UK Abstract
More informationList of Equipment, Tools, Supplies, and Facilities:
Unit D: ph of Soil Lesson 2: Identifying ph Connection With Plant Growth Student Learning Objectives: Instruction in this lesson should result in the students achieving the following objectives: 1. Explain
More informationDistributed control of "ball on beam" system
XI International PhD Workshop OWD 29, 17 2 Octoer 29 Distriuted control of "all on eam" system Michał Ganois, University of Science and Technology AGH Astract This paper presents possiilities of control
More informationTHE INFLATION-RESTRICTION SEQUENCE : AN INTRODUCTION TO SPECTRAL SEQUENCES
THE INFLATION-RESTRICTION SEQUENCE : AN INTRODUCTION TO SPECTRAL SEQUENCES TOM WESTON. Example We egin with aelian groups for every p, q and maps : + (here, as in all of homological algera, all maps are
More informationLinear Equations in Linear Algebra
1 Linear Equations in Linear Algera 1.4 THE MATRIX EQUATION A MATRIX EQUATION A mn Definition: If A is an matri, with columns a 1,, a n, and if is in R n, then the product of A and, denoted y A, is the
More informationRollout Policies for Dynamic Solutions to the Multi-Vehicle Routing Problem with Stochastic Demand and Duration Limits
Rollout Policies for Dynamic Solutions to the Multi-Vehicle Routing Prolem with Stochastic Demand and Duration Limits Justin C. Goodson Jeffrey W. Ohlmann Barrett W. Thomas Octoer 2, 2012 Astract We develop
More informationRepresentation theory of SU(2), density operators, purification Michael Walter, University of Amsterdam
Symmetry and Quantum Information Feruary 6, 018 Representation theory of S(), density operators, purification Lecture 7 Michael Walter, niversity of Amsterdam Last week, we learned the asic concepts of
More information/14/$ IEEE 113. A. Absorption Material. B. External Fixation Device and ASTM phantom
MRI Heating Reduction for External Fixation Devices Using Asorption Material Xin Huang, Jianfeng Zheng, Ji Chen ECE department University of Houston Houston, USA {xhuang12, jchen18}@uh.edu Xin Wu, Mari
More informationHawn et al (2018) Ecology Letters 21:
Hawn et al (2018) Ecology Letters 21: 1620-1628 Gabriel Blouin-Demers Professeur titulaire Département de biologie BIO2529 Écologie Ecology Letters, (2018) 21: 1620 1628 doi: 10.1111/ele.12958 LETTER Connectivity
More informationOn the Third Order Rational Difference Equation
Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 27, 32-334 On the Third Order Rational Difference Equation x n x n 2 x (a+x n x n 2 ) T. F. Irahim Department of Mathematics, Faculty of Science Mansoura
More informationSCIENCE 1106 CHEMICAL REACTIONS, RATES, AND EQUILIBRIUM
SCIENCE 1106 CHEMICAL REACTIONS, RATES, AND EQUILIBRIUM CONTENTS I. CHEMICAL REACTIONS.................................... 2 Detection................................................ 2 Energy Representation....................................
More informationSynthetic asymptote formula for surface-printed resistor
Synthetic asymptote formula for surface-printed resistor S.-K. Kwok, K.-F. Tsang, Y.L. Chow and K.-L. Wu Astract: To date, the design of surface-printed resistors has utilised the time-consuming moment
More informationExperimental Comparison of Adaptive Controllers for Trajectory Tracking in Agricultural Robotics
Experimental Comparison of Adaptive Controllers for Trajectory Tracking in Agricultural Rootics Jarle Dørum, Tryve Utstumo, Jan Tommy Gravdahl Department of Engineering Cyernetics Norwegian University
More informationK. FUJITA INTRODUCTION. Dr., Managing Director of Hazama-Gumi, Ltd. K. UEDA. Deputy Director, Institute of Technology, Hazama-Gumi, Ltd. M.
A METHOD TO PREDICT THE LOAD-DISPLACEMENT RELATIONSHIP OF GROUND ANCHORS Modèle pour calculer la relation charge-déplacement des ancrages dans les sols by K. FUJITA Dr., Managing Director of Hazama-Gumi,
More informationcedram Article mis en ligne dans le cadre du Centre de diffusion des revues académiques de mathématiques
Paul FILI On the heights of totally p-adic numbers Tome 26, n o 1 (2014), p. 103-109. Société Arithmétique de Bordeaux, 2014, tous droits réservés.
More informationCUSTOMS TARIFF - SCHEDULE VI - 1
CUSTOMS TARIFF - SCHEDULE VI - 1 Section VI PRODUCTS OF THE CHEMICAL OR ALLIED INDUSTRIES Notes. 1. (A) Goods (other than radioactive ores) answering to a description in heading 28.44 or 28.45 are to be
More informationLuis Manuel Santana Gallego 100 Investigation and simulation of the clock skew in modern integrated circuits. Clock Skew Model
Luis Manuel Santana Gallego 100 Appendix 3 Clock Skew Model Xiaohong Jiang and Susumu Horiguchi [JIA-01] 1. Introduction The evolution of VLSI chips toward larger die sizes and faster clock speeds makes
More informationComparison of Transmission Loss Allocation Methods in Deregulated Power System
Comparison of Transmission oss Allocation s in Deregulated ower System. Srinivasa Varma & V. Sankar Research Scholar, Department of Electrical Engineering, JNTUACEA, Anantapur, Andhra radesh, ndia e-mail:
More information4.6 (Part A) Exponential and Logarithmic Equations
4.6 (Part A) Eponential and Logarithmic Equations In this section you will learn to: solve eponential equations using like ases solve eponential equations using logarithms solve logarithmic equations using
More informationChapter 2 Canonical Correlation Analysis
Chapter 2 Canonical Correlation Analysis Canonical correlation analysis CCA, which is a multivariate analysis method, tries to quantify the amount of linear relationships etween two sets of random variales,
More informationA Benchmark Study of Procedures for Analysis of Axial Crushing of Bulbous Bows
A Benchmark Study of Procedures for Analysis of Axial Crushing of Bulous Bows Yasuhira Yamada a,, and Preen Terndrup Pedersen a a Department of Mechanical Engineering, Technical University of Denmark,
More information1 2 2 Circulant Matrices
Circulant Matrices General matrix a c d Ax x ax + cx x x + dx General circulant matrix a x ax + x a x x + ax. Evaluating the Eigenvalues Find eigenvalues and eigenvectors of general circulant matrix: a
More informationInitial concentration. of C/mol dm 3
1 a The data in the following tale were otained in two experiments aout the rate of the reaction etween sustances B and C at a constant temperature. Experiment of B/mol dm 3 of C/mol dm 3 Initial rate/
More informationGraphs and polynomials
5_6_56_MQVMM - _t Page Frida, Novemer 8, 5 :5 AM MQ Maths Methods / Final Pages / 8//5 Graphs and polnomials VCEcoverage Areas of stud Units & Functions and graphs Algera In this chapter A The inomial
More informationGround and Excited States of Bipolarons in Two and Three Dimensions
Commun. Theor. Phys. Beijing, China 8 007 pp. 169 17 c International Academic Pulishers Vol. 8, No. 1, July 15, 007 Ground and Excited States of Bipolarons in Two and Three Dimensions RUAN Yong-Hong and
More informationb) 2( ) a) Write an equation that models this situation. Let S = yearly salary and n = number of yrs since 1990.
Precalculus Worksheet 3.1 and 3.2 1. When we first start writing eponential equations, we write them as y= a. However, that isn t the only way an eponential equation can e written. Graph the following
More informationANOVA 3/12/2012. Two reasons for using ANOVA. Type I Error and Multiple Tests. Review Independent Samples t test
// ANOVA Lectures - Readings: GW Review Independent Samples t test Placeo Treatment 7 7 7 Mean... Review Independent Samples t test Placeo Treatment 7 7 7 Mean.. t (). p. C. I.: p t tcrit s pt crit s t
More informationH-infinity Optimal Distributed Control in Discrete Time
H-infinity Optimal Distriuted Control in Discrete Time Lidström, Carolina; Pates, Richard; Rantzer, Anders Pulished in: 2017 IEEE 56th Conference on Decision and Control, CDC 2017 DOI: 10.1109/CDC.2017.8264176
More information0.1. Linear transformations
Suggestions for midterm review #3 The repetitoria are usually not complete; I am merely bringing up the points that many people didn t now on the recitations Linear transformations The following mostly
More informationChapter #6 EEE State Space Analysis and Controller Design
hapter #6 EEE3-83 State Space nalsis and ontroller Design State feedack Linear Quadratic Regulator (LQR) Open and closed loop estimators Reduced Order Estimators (not assessed) racking Module Leader: Dr
More informationNon-linear Biot Darcy s process of consolidation
Non-linear Biot Darcy s process of consolidation Tomasz Strzelecki & Stanisław Kostecki Department of Civil Engineering,Wroclaw University of Technology Wybrzeze Wyspianskiego 27 50-370 Wroclaw, Poland
More information#A50 INTEGERS 14 (2014) ON RATS SEQUENCES IN GENERAL BASES
#A50 INTEGERS 14 (014) ON RATS SEQUENCES IN GENERAL BASES Johann Thiel Dept. of Mathematics, New York City College of Technology, Brooklyn, New York jthiel@citytech.cuny.edu Received: 6/11/13, Revised:
More informationINDIRECT DETECTION IN ION-EXCLUSION CHROMATOGRAPHY
ACTA CHROMATOGRAPHICA, NO. 12, 2002 INDIRECT DETECTION IN ION-EXCLUSION CHROMATOGRAPHY B. K. Głód Medical Research Centre, Polish Academy of Sciences, Laoratory of Experimental Pharmacology, ul. Pawińskiego
More informationJOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX
JOURNAL DE THÉORIE DES NOMBRES DE BORDEAUX MASANOBU KANEKO Poly-Bernoulli numbers Journal de Théorie des Nombres de Bordeaux, tome 9, n o 1 (1997), p. 221-228
More informationFabrication of Radiation Sources for Educational Purposes from Chemical Fertilizers using Compressing and Forming Method
Fabrication of Radiation Sources for Educational Purposes from Chemical Fertilizers using Compressing and Forming Method Takao Kawano National Institute for Fusion Science 322-6 Oroshi, Toki, Gifu 509-5292,Japan
More informationImplementation of Galois Field Arithmetic. Nonbinary BCH Codes and Reed-Solomon Codes
BCH Codes Wireless Information Transmission System La. Institute of Communications Engineering g National Sun Yat-sen University Outline Binary Primitive BCH Codes Decoding of the BCH Codes Implementation
More informationCUSTOMS TARIFF - SCHEDULE. Chapter 31 FERTILISERS
31 - i Chapter 31 FERTILISERS Notes. 1. This Chapter does not cover: (a) Animal blood of heading 05.11; (b) Separate chemically defined compounds (other than those answering to the descriptions in Note
More informationThe optimized white Differential equation of GM(1,1) based on the. original grey differential equation. Rui Zhou Jun-jie Li Yao Chen
pplied Mechanics and Materials Online: 202-05-4 ISSN: 662-7482, Vols. 66-69, pp 297-2975 doi:0.4028/www.scientific.net/mm.66-69.297 202 Trans Tech Pulications, Switzerland The optimized white Differential
More informationHello everyone, Best, Josh
Hello everyone, As promised, the chart mentioned in class about what kind of critical points you get with different types of eigenvalues are included on the following pages (The pages are an ecerpt from
More informationBayesian inference with reliability methods without knowing the maximum of the likelihood function
Bayesian inference with reliaility methods without knowing the maximum of the likelihood function Wolfgang Betz a,, James L. Beck, Iason Papaioannou a, Daniel Strau a a Engineering Risk Analysis Group,
More informationApplication of Pareto Distribution in Wage Models
Chinese Business Review, ISSN 537-56 Novemer, Vol., No., 974-984 Application of areto Distriution in Wage Models Diana Bílková University of Economics in rague, rague, Czech Repulic This paper deals with
More informationBringing Order to Special Cases of Klee s Measure Problem
Bringing Order to Special Cases of Klee s Measure Prolem Karl Bringmann Max Planck Institute for Informatics Astract. Klee s Measure Prolem (KMP) asks for the volume of the union of n axis-aligned oxes
More information