Relevant bibliographies by topics / Matrix formulation

Contents

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

Academic literature on the topic 'Matrix formulation'

Author: Grafiati
Published: 3 June 2025
Last updated: 11 July 2025

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Journal articles on the topic "Matrix formulation"

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Malu, Siddharth Savyasachi. "S – and T– Matrix Formulations for 2–Port Devices." International Journal of Scientific Research in Modern Science and Technology 2, no. 4 (2023): 16–19. http://dx.doi.org/10.59828/ijsrmst.v2i4.93.

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We present the S– and T–matrix formulations of device characteristic for a 2–port device. We demonstrate that while the S–matrix formulation is intuitive and corresponds to physical quantities, the T–matrix formulation is better when it comes to handling multiple devices in series. We then compute the translation from S–matrix to T–matrix formulations and vice–versa.
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Iche, Ghanshyam Ramesh. "Formulation and Evaluation of Aceclofenac Matrix Tablet." International Journal of Scientific Research 3, no. 1 (2012): 410–12. http://dx.doi.org/10.15373/22778179/jan2014/142.

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Mandhan, Rahul, and Twinkle Garg. "Sustained Release Matrix Technology for Cefixime- A Review." International Journal of Pharmaceutical Sciences and Medicine 7, no. 8 (2022): 10–19. http://dx.doi.org/10.47760/ijpsm.2022.v07i08.002.

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Sustained release drug delivery system is designed to sustain the release of the drug dosage forms at a predetermined rate. Sustained release formulation maintains uniform drug level in therapeutic window, improved efficacy of drug by localization at the site of action with better patient compliance, reducing the dose required, providing uniform drug delivery. The sustained release formulations minimize the frequency of drug administration and do not interfere with the therapeutic action of the drug. The use of sustained release matrix technology for antibiotics is effective in preventing the resistant of antibiotics in body on irrational use. Drug release through matrix SRDDS is determined by Polymer swelling, Water penetration, Drug dissolution, diffusion, Matrix erosion. The present article contains brief review on various formulation approaches for Sustained release drug delivery system, advantages, selection criteria for matrix SRDDS and use of cefixime trihydrate in formulating matrix SRDDS.
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Ishibashi, Toshiyuki. "Tensor Formulation of Ensemble-Based Background Error Covariance Matrix Factorization." Monthly Weather Review 143, no. 12 (2015): 4963–73. http://dx.doi.org/10.1175/mwr-d-15-0014.1.

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Abstract Factorization of a background error covariance matrix (B factorization) constructed from localization matrices and a small ensemble that obeys background error statistics is an efficient method for introducing flow-dependent background error statistics into variational form data assimilation systems. Although there are four types of matrix formulations of B factorization, their derivation processes and relationships are not clarified, and mathematical operability is limited because of their complex matrix forms. In this paper, B factorization in the tensor (component) form is formulated to overcome these shortcomings. The tensor formulation is very simple and directly connects the background error covariance matrix with its factorization. All existing matrix formulations are derived from the tensor formulation as their specific matrix form representations. Using the simplicity of the tensor formulation, the relationships between the strong-constraint four-dimensional variational data assimilation (4DVAR), 4DVAR with the four-dimensional background error covariance, and the weak-constraint 4DVAR are clarified.
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Abhishek, S. Joshi *. Deepak A. Joshi Avinash V. Dhobale Sandhya S. Bundel Vijay R. Chakote Gunesh N. Dhembre. "STUDIES ON NATURAL AND SYNTHETIC POLYMERS FOR CONTROLLED RELEASE MATRIX TABLET OF ACECLOFENAC." INDO AMERICAN JOURNAL OF PHARMACEUTICAL SCIENCES 05, no. 01 (2018): 304–12. https://doi.org/10.5281/zenodo.1149339.

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The present study was aimed to design new oral controlled release matrix tablets of new NSAID Aceclofenac for once a day by using 10, 15, 20 and 25% of GG:HPMC and XG:HPMC mixture in the ratio 1:1 by wet granulation method. The prepared tablets subjected to in vitro drug release studies in pH 7.4 buffer solution. All the formulation meets the pre-compression and compression characteristics. All the tablets prepared with 10, 15, 20 and 25% of HPMC: XG mixture in the ratio 1:1 fails to meet the requirement of complete release of the drug in 24h. The tablet formulations containing 10% and 15% of GG: HPMC mixture fails to control release of drug upto 24h. The formulation AHG20 controlled release of drug upto 24h and released more than 97% of the drug in 24h. Hence considered as the best formulation. The optimized tablet batch formulations AHG20 showed no change in drug content or in vitro release pattern after storage at 40o C / 75% RH for 30 days. The FTIR studies indicated absence of interaction between aceclofenac and tablet excipients used in the matrix tablets. It has been observed from the above study that excipients like HPMC, xanthan gum, guar gum and microcrystalline cellulose were ideal excipients and effective for formulating controlled release matrix tablets. As these excipients are easily available, inexpensive and compatible. Controlled release matrix tablets provide several advantages reduce dose related toxicity, reduce drug waste and improve patient compliance. Keywords: Aceclofenac, guar gum, xanthan gum, CDDS and matrix tablets.
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Bakshi, Vasudha, Swapna S., Deepa Kumari Choudhary, Ch Revanth, B. Sai KumarCh. Praveen, and Ch Praveen. "Design and characterization of metoprolol floating matrix tablet." Pharmaceutical and Biological Evaluations 4, no. 2 (2017): 118. http://dx.doi.org/10.26510/2394-0859.pbe.2017.18.

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Objective: The objective of the present research was to develop a matrix embedded floating tablet of Metoprolol for the sustained activity and prolongation of gastric residence time to improve the bioavailability of the drug. Metoprolol was chosen as a model drug because it is better absorbed in the stomach than the lower gastro intestinal tract.Methods: The experimental work was divided into pre-formulation studies, formulation development, and evaluation. Standardization of drug and excipients confirmed the authentication of the samples. Floating test were conducted for all formulations, In vitro dissolution studies were carried out in a dissolution testing apparatus-II, FTIR study was performed to interpret the drug ,excipient interaction.Results: Floating tests were also performed for 15 formulations and among them five formulations have passed the floating tests (F1, F3, F5, F7, and F14). The In-vitro release kinetics study of this tablet indicated sustained release for Metoprolol and followed zero order release and 95% drug in 8 h in vitro. The drug release profile of formulated product was compared with marketed product Metolar. The floating tablets extended the drug release up to 8 hours. The drug-polymer interaction was evaluated by fourier transform infrared spectroscopy (FTIR).Conclusions: F3 formulation showed the best floating results. The comparative study between F3 and Metolar (Marketed Product) showed the similar in vitro drug release profile. Thus, the optimzed formulation F-3 can be successfully used for the management of hypertension.
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Vafaeva, Khristina Maksudovna, Abhishek Chhetri, Prerak Sudan, Mukul Mishra, B. Pakkiraiah, and Chandra Mohan. "Polymer Matrix Nanocomposites for Sustainable Packaging: A Green Approach." E3S Web of Conferences 511 (2024): 01008. http://dx.doi.org/10.1051/e3sconf/202451101008.

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This research examines the characteristics and ecological viability of polymer matrix nanocomposites used in sustainable packaging. Nanocomposites were produced by combining varied proportions of polymer and nanofiller material. Through mechanical testing, it was determined that nanocomposite formulation 3 had the maximum tensile strength of 55 MPa, as well as a Young’s modulus of 3.5 GPa, showing greater stiffness in comparison to the other formulations. The evaluation of barrier qualities revealed that nanocomposite formulation 2 exhibited the most minimal oxygen permeability at a rate of 8 cc/m²/day and the lowest water vapor transmission rate at 4.5 g/m²/day, showing very efficient performance in preventing the passage of gases and moisture. The environmental impact study showed that nanocomposite formulation 3 had the most efficient energy consumption during manufacture, with a rate of 1.8 kWh/kg. It also had the lowest waste creation, with just 0.08 kg/kg, and the lowest CO2 emissions, with only 0.4 kg/kg. Nanocomposite formulation 3 demonstrated substantial improvements in mechanical characteristics, barrier properties, and environmental impact indicators when compared to the reference formulations, as shown by the percentage change analysis. In summary, this study showcases the capabilities of polymer matrix nanocomposites, specifically formulation 3, as environmentally friendly packaging materials that offer improved mechanical properties, effective barrier performance, and reduced ecological footprint. These findings contribute to the development of sustainable packaging solutions across different industries.
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Vafaeva, Khristina Maksudovna, Abhishek Chhetri, Prerak Sudan, Mukul Mishra, B. Sankara Babu, and Binitendra Naath Mongal. "Polymer Matrix Nanocomposites for Sustainable Packaging: A Green Approach." E3S Web of Conferences 537 (2024): 08001. http://dx.doi.org/10.1051/e3sconf/202453708001.

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This research examines the characteristics and ecological viability of polymer matrix nanocomposites used in sustainable packaging. Nanocomposites were produced by combining varied proportions of polymer and nanofiller material. Through mechanical testing, it was determined that nanocomposite formulation 3 had the maximum tensile strength of 55 MPa, as well as a Young's modulus of 3.5 GPa, showing greater stiffness in comparison to the other formulations. The evaluation of barrier qualities revealed that nanocomposite formulation 2 exhibited the most minimal oxygen permeability at a rate of 8 cc/m2/day and the lowest water vapor transmission rate at 4.5 g/m2/day, showing very efficient performance in preventing the passage of gases and moisture. The environmental impact study showed that nanocomposite formulation 3 had the most efficient energy consumption during manufacture, with a rate of 1.8 kWh/kg. It also had the lowest waste creation, with just 0.08 kg/kg, and the lowest CO2 emissions, with only 0.4 kg/kg. Nanocomposite formulation 3 demonstrated substantial improvements in mechanical characteristics, barrier properties, and environmental impact indicators when compared to the reference formulations, as shown by the percentage change analysis. In summary, this study showcases the capabilities of polymer matrix nanocomposites, specifically formulation 3, as environmentally friendly packaging materials that offer improved mechanical properties, effective barrier performance, and reduced ecological footprint. These findings contribute to the development of sustainable packaging solutions across different industries.
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Shewale, Lankesh P., Sheetal B. Gondkar, Ravindra B. Saudagar, and Avinash B. Dareker. "Formulation Development and Comparative Study of Clopidogrel Bisulfate Matrix Formulations." Asian Journal of Research in Pharmaceutical Science 6, no. 3 (2016): 167. http://dx.doi.org/10.5958/2231-5659.2016.00028.x.

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Maurya, Harikesh, and Tirath Kumar. "Formulation, characterization and pharmacological evaluation of anti-inflammatory polyphyto matrix tablet as a novel drug delivery system." Indian Journal of Pharmaceutical and Biological Research 4, no. 03 (2016): 50–57. http://dx.doi.org/10.30750/ijpbr.4.3.7.

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Objective: To deal with the formulation, characterization and pharmacological evaluation of anti-inflammatory polyphyto matrix tablet containing Carica papaya, Vitex negundo, Moringa oleifera and Boswellia serrata used as a novel drug delivery system. An attempt has been made to develop polyphyto matrix tablets by using HPMC and ethyl cellulose. Methods: Pharmacological screening of polyphyto matrix tablet was evaluated by using the carrageenan-induced paw edema rat model and the study carried out by using various doses (100, 200 and 300 mg/kg body weight) of three different polyphyto matrix formulations. Diclofenac sodium was used as a standard drug, due to its considerable report on antiinflammatory importance. Data were expressed by mean±SD; statistical analysis was performed by using ANOVA and p less than 0.05 considered as statistically significant. Results: Physical and chemical evaluation parameters of polyphyto matrix formulation exhibits potent and dose-dependent anti-inflammatory activity in all the tested animal groups. Formulation F1 significantly (p less than 0.05) suppresses the inflammation in the rat paw and found to be preeminent and stable in comparison with standard and other two (F2 and F3) formulations. Conclusion: Study reveals that the polyphyto matrix formulation could be useful as either an alternative or a complementary therapy in the management of all types of inflammation. It may be due to presence of terpenoids, alkaloids, glycosides and other phytochemical in herbs.
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Dissertations / Theses on the topic "Matrix formulation"

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Belton, Alexander C. R. "A matrix formulation of quantum stochastic calculus." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301800.

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We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fixed, countably-infinite, direct-sum decomposition. A chaos matrix between two chaos spaces is a doubly-infinite matrix of bounded operators which respects this decomposition. We study operators represented by such matrices, particularly with respect to self-adjointness. This theory is used to re-formulate the quantum stochastic calculus of Hudson and Parthasarathy. Integrals of chaos-matrix processes are defined using the Hitsuda-Skorokhod integral and Malliavin gradient,following Lindsay and Belavkin. A new way of defining adaptedness is developed and the consequent quantum product Ito formula is used to provide a genuine functional Ito formula for polynomials in a large class of unbounded processes, which include the Poisson process and Brownian motion. A new type of adaptedness, known as $\Omega$-adaptedness, is defined. We show that quantum stochastic integrals of $\Omega$-adapted processes are well-behaved; for instance, bounded processes have bounded integrals. We solve the appropriate modification of the evolution equation of Hudson and Parthasarathy: $U(t)=I+\int_{0}^{t}E(s)\mathrm{d}\Lambda(s)+F(s)\mathrm{d} A(s)+ G(s)U(s)\mathrm{d} A^{\dagger}(s)+H(s)U(s)\mathrm{d} s, $ where the coefficients are time-dependent, bounded, $\Omega$-adapted processes acting on the whole Fock space. We show that the usual conditions on the coefficients, viz. $(E,F,G,H)=(W-I,L,-WL^{*},iK+\mbox{$\frac{1}{2}$}LL^{*})$ where $W$ is unitary and $K$ self-adjoint, are necessary and sufficient conditions for the solution to be unitary. This is a very striking result when compared to the adapted case.
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Benkaddour, Ilham. "Matrix Formulation of Fractional Supersymmetry and q-Deformation." Diss., lmu, 2006. http://nbn-resolving.de/urn:nbn:de:bvb:19-53038.

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Sivess, Andrew Gregory. "Chebyshev polynomial based finite element stiffness matrix formulation." Diss., Connect to online resource, 2005. http://wwwlib.umi.com/cr/colorado/fullcit?p1427762.

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Wallin, Marina. "Multiple electromagnetic scattering by spheres using the T-matrix formulation." Thesis, Umeå universitet, Institutionen för fysik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-105606.

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Low observable technology is used in order to prevent detection, or to delay detection. Radar cross section is an important parameter in aircraft survivability since it measures how detectable an object is with radar. To find the radar cross section Maxwell's equations are solved numerically in the time-domain using a finite difference scheme. This numerical method called Finite Difference Time Domain is very suitable for structures including complex materials. However, this numerical method needs to be verified for large scale simulations, due to numerical dispersion errors. Therefore it is desirable to verify the accuracy of the numerical simulations. In this project, the analytical solution to the multiple scattering by two spheres is implemented using the T-matrix formulation. The analytical solution to the scattering problem is first validated with the analytical Mie-series solution then compared to the Finite Difference Time Domain implementation. The results imply that the difference between the numerical and analytical solution is larger for higher frequencies and larger computational volumes.<br>Smygteknik används för att förhindra detektering, eller för att fördröja detektion av ett flygplan. Radarmålarea är en viktig parameter för skyddsprestanda hos flygplan eftersom den mäter hur detekterbar ett föremål är med radar. För att hitta radarmålarean löses Maxwells ekvationer numeriskt i tidsdomänen med hjälp av ett finit differensschema. Den numeriska metoden som kallas Finita differensmetoden i tidsdomän, är mycket lämplig för strukturer med komplexa material. Den numeriska metoden behöver valideras för storskaliga simuleringar eftersom det förekommer felaktigheter på grund av den numeriska dispersionen. Därför är det önskvärt att kontrollera riktigheten av de numeriska simuleringarna. I detta projekt, är den analytiska lösningen till multipelspridning av två sfärer implementerad med hjälp av T-matrismetoden. Den analytiska lösningen på spridningsproblemet valideras först mot den analytiska Mie-serielösningen och sedan jämförs den med resultatet av simuleringarna med Finita differensmetoden i tidsdomän. Resultaten antyder att skillnaden mellan den numeriska och analytiska lösningen är större för högre frekvenser och större beräkningsvolymer.
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Arjun, Jessica. "The development and assessment of both a separate, once-daily modified release matrix formulation of metoprolol tartrate and a combination formulation with hydrochlorothiazide." Thesis, Rhodes University, 2001. http://hdl.handle.net/10962/d1003220.

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The use of controlled release dosage forms has increased significantly in recent years as they result in increased patient compliance and higher therapeutic efficiency. This research focused on the development of a once daily dosage form that could be used for the treatment of hypertension. Both a separate sustained release dosage of metoprolol tartrate and a combination dosage form that included both an immediate release hydrochlorothiazide and a sustained release metoprolol component, were developed and evaluated. A matrix tablet, consisting of an ethylcellulose ranulation of metoprolol tartrate compressed into a hydrophilic hydroxypropyl methylcellulose polymer matrix, effectively sustained metoprolol release over a 22-hour experimental period. A multiparticulate combination dosage form that consisted of six coated mini matrix tablets of metoprolol and a powder blend of hydrochlorothiazide packed into a gelatin capsule, displayed zero order release kinetics for metoprolol release over 22 hours (r2=0.9946). The release of hydrochlorothiazide was found to be comparable to that of a commercially available product tested. Differential Scanning Calorimetry was used to identify possible incompatibilities between MPTA and excipients initially, and long term stability testing was used to assess to behaviour of the dosage form. Dissolution testing of the dosage forms was performed using USP Apparatus III, which was found to be more discriminating between the batches assessed. Dissolution curves were evaluated for similarity and difference using f1 and f2 fit factors. Samples were analyzed using a high performance liquid chromatographic method that was developed and validated for the simultaneous determination of the compounds of interest. Various factors influencing drug release from the developed dosage forms were assessed and recommendations for further optimization of the formulation are made. Factors evaluated included the quantity of granulating fluid, matrix polymer content, drug load and process variables, including drying time and compression force. The influence of various coating levels on drug release was assessed and none of the levels assessed were found to adequately retarded drug release over a 22-hour period. Combinations of tablets coated to different levels allowed for the successful development of a sustained release metoprolol component, which could be included into the combination dosage form.
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Novikov, Alexey. "Path integral formulation of dissipative quantum dynamics." Doctoral thesis, [S.l. : s.n.], 2005. http://archiv.tu-chemnitz.de/pub/2005/0050.

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Fischer, André [Verfasser]. "Matrix model formulation of LS-covariant noncommutative quantum field theories on Minkowski spacetime / André Fischer." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover, 2011. http://d-nb.info/1011399016/34.

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Cheboyina, Sreekhar. "Design and development of a novel freeze pelletization technique : formulation, characterization and evaluation of matrix pellets /." Full text available from ProQuest UM Digital Dissertations, 2006. http://0-proquest.umi.com.umiss.lib.olemiss.edu/pqdweb?index=0&did=1260798651&SrchMode=1&sid=4&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1193083907&clientId=22256.

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Grund, Julia [Verfasser]. "Formulation and evaluation of water-insoluble matrix drug delivery systems and modelling of drug release / Julia Grund." Berlin : Freie Universität Berlin, 2013. http://d-nb.info/1037343158/34.

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Tsoi, Eric W. "Formulation Development of a Polymer-Drug Matrix with a Controlled Release Profile for the Treatment of Glaucoma." DigitalCommons@CalPoly, 2013. https://digitalcommons.calpoly.edu/theses/1134.

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Glaucoma is the leading cause of blindness in the United States accounting for 9-12% of all cases of blindness. Currently, the front line treatment for glaucoma are prostaglandins that may have to be taken up to several times a day. Even with proper treatment, roughly 11% of the patients using the treatment are non-compliant and lose their vision. In this project, ForSight Laboratories has developed a pharmaceutical drug delivering implant with the capability of sustaining long-term release of a prostaglandin as a new way to treat the condition. This project reports the product development of a polymer drug matrix with a controlled release in order to better treat glaucoma. Accompanying product development, a mathematical model was created in order to strengthen the understanding of the dosage profile and to predict long term dosages.
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Books on the topic "Matrix formulation"

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Al-Naima, Fawzi M. Element stamp algorithm for matrix formulation of symbolic circuits. Nova Science Publishers, 2010.

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Johnson, William. How to Do an Effective SWOT Analysis and TOWS Matrix in Strategic Formulation. SAGE Publications Inc., 2023. http://dx.doi.org/10.4135/9781529629644.

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Lakin, William D. A combined integrating and differentiating matrix formulation for boundary value problems on rectangular domains. Langley Research Center, 1986.

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Lakin, William D. An integrating matrix formulation for buckling of rotating beams including the effects of concentrated masses. ICASE, 1989.

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A, Crivelli Luis, B. J. Captain, and United States. National Aeronautics and Space Administration., eds. A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Center for Space Structures and Controls, College of Engineering, University of Colorado, 1994.

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A, Crivelli Luis, B. J. Captain, and United States. National Aeronautics and Space Administration., eds. A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Center for Space Structures and Controls, College of Engineering, University of Colorado, 1994.

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Center, Langley Research, ed. On the numerical formulation of parametric linear fractional transformation (LFT) uncertainty models for multivariate matrix polynomial problems. National Aeronautics and Space Administration, Langley Research Center, 1998.

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Franciose, Randall J. Spin and magnetism: Two transfer matriz formulations of a classical Heisenberg Ring in a Magnetic Field. Naval Postgraduate School, 1998.

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Paranjpe, Prakash. Indian medicinal plants: Forgotten healers : a guide to ayurvedic herbal medicine with identity, habitat, botany, photochemistry, ayurvedic properties, formulations & clinical usage. Chaukhamba Sanskrit Pratishthan, 2001.

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National Aeronautics and Space Administration (NASA) Staff. Integrating Matrix Formulation for Buckling of Rotating Beams Including the Effects of Concentrated Masses. Independently Published, 2018.

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Book chapters on the topic "Matrix formulation"

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Hernández-Montes, Enrique, and Luisa María Gil-Martín. "Matrix formulation of geometric nonlinearity." In Concrete Structures. CRC Press, 2024. http://dx.doi.org/10.1201/9781003169659-11.

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Sharma, A. C. "Matrix Formulation of Quantum Mechanics." In A Textbook on Modern Quantum Mechanics. CRC Press, 2021. http://dx.doi.org/10.1201/9781003154457-3.

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Haas, Olivier Cyrille Louis. "Formulation of Matrix Based Beam Model." In Radiotherapy Treatment Planning. Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0821-4_3.

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Seaborn, James B. "Matrix Formulation of the Eigenvalue Problem." In Mathematics for the Physical Sciences. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9279-8_9.

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Murota, Kazuo. "Physical Observations for Mixed Matrix Formulation." In Algorithms and Combinatorics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03994-2_3.

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Scott, Jennifer, and Miroslav Tůma. "Introduction to Matrix Factorizations." In Nečas Center Series. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25820-6_3.

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AbstractThis chapter introduces the basic concepts of Gaussian elimination and its formulation as a matrix factorization that can be expressed in a number of mathematically equivalent but algorithmically different ways.
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Li, Zhiling, Satish Nagarajaiah, and B. H. Koh. "Sensor Failure Detection Using Interaction Matrix Formulation." In IUTAM Symposium on Multi-Functional Material Structures and Systems. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3771-8_20.

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Akaho, Shotaro, Hideitsu Hino, Neneka Nara, and Noboru Murata. "Geometrical Formulation of the Nonnegative Matrix Factorization." In Neural Information Processing. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04182-3_46.

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Matsui, Masayuki. "Matrix Method for Higher 3M&I-Management." In Theory, Formulation and Realization of Artifacts Science. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-3495-5_4.

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Žefran, Milosš, and Vijay Kumar. "Coordinate-Free Formulation of the Cartesian Stiffness Matrix." In Recent Advances in Robot Kinematics. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-1718-7_12.

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Conference papers on the topic "Matrix formulation"

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Dai, Weitao, and Paul G. Bremer. "Extended Resistance Matrix Formulation for Radiation Coupling of a Multi-Conductor Transmission Line." In 2024 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity (EMC+SIPI). IEEE, 2024. http://dx.doi.org/10.1109/emcsipi49824.2024.10705458.

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Arvin, Charles L., Juan Jiang, Albert E. Miller, Kunigahalli L. Vasanth, and Gautam Banerjee. "Corrosion Inhibition of Al and Al Alloys with Permanganate Solutions." In CORROSION 2001. NACE International, 2001. https://doi.org/10.5006/c2001-01548.

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Abstract Two green inhibitor formulations have been developed for treating aluminum alloys 2024-T3 and 6061-T6. The formulation consists of the oxoanion MnO4− with a catalytic amount of either Cr(VI) (50μg/L present as dichromate) or acetic acid. Both formulations are considered green since they contain Cr(VI) concentrations that are below the EPA safe limit for drinking water that is 100μg/L. The inhibitor formulations have been previously tested on anodized aluminum alloy coupons followed by sealing in a bath containing the inhibitor formulation. The combination of anodizing and sealing lasted over 9 months in a salt fog prohesion test environment1. Although, this formulation has been shown to work on anodized systems, the largest impact for Cr(VI) replacement will come from conversion (immersion) coating applications. This paper presents the results of how these green inhibitor formulations perform on a non-anodized surface. Aluminum alloy coupons (2024-T3 , 6061-T6 and 7075-T6) treated with both formulations along with a matrix of their components were tested using anodic potentiodynamic polarization, electrochemical impedance spectroscopy (EIS) and ASTM B117 Salt Fog Testing that included unpainted and painted samples with and without scribes. The electrochemical test results are compared against salt spray data, and the correlation between the two approaches is discussed.
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Ghosh, Shajib, Nitin Varshney, Md Mahfuz Al Hasan, et al. "Exploring physics-informed machine learning for system matrix formulation in x-ray imaging forward models." In Developments in X-Ray Tomography XV, edited by Bert Müller and Ge Wang. SPIE, 2024. http://dx.doi.org/10.1117/12.3027381.

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Nayak, Rakesh, C. V. Sastry, and Jayaram Pradhan. "A matrix formulation for NTRU cryptosystem." In 2008 16th IEEE International Conference on Networks. IEEE, 2008. http://dx.doi.org/10.1109/icon.2008.4772602.

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So, Poman P. M., and Wolfgang J. R. Hoefer. "Johns Matrix formulation of inverse TLM problems." In 2014 16th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM). IEEE, 2014. http://dx.doi.org/10.1109/antem.2014.6887729.

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Li, Zhiling, B. H. Koh, Satish Nagarajaiah, and M. Q. Phan. "Sensor failure detection using interaction matrix formulation." In Smart Structures and Materials, edited by Masayoshi Tomizuka, Chung-Bang Yun, and Victor Giurgiutiu. SPIE, 2006. http://dx.doi.org/10.1117/12.659099.

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Grzyb, Janusz, and Gerhard Troster. "S Matrix versus ABCD Chain Matrix Formulation in Probe-tip Calibrations." In 6th IEEE Workshop on Signal Propagation on Interconnects. IEEE, 2002. http://dx.doi.org/10.1109/spi.2002.258306.

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Gerstmayr, J. "Comparison of the Absolute Nodal Coordinate and the Floating Frame of Reference Formulation by Means of a Simplified Strain Formulation." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48306.

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The floating frame of reference (FFR) formulation and the absolute nodal coordinate (ANC) formulation are often used for the modeling of multibody systems. In the present work a simplified strain model is derived for the ANC formulation which is equivalent to the (small strain) FFR formulation. The simplified strain model is based on a co-rotated reference configuration and the deformation is assumed to be small with respect to this configuration. This configuration is described by a translation vector and a rotation matrix which are both determined from the motion of the body with respect to its fixed reference. The ANC formulation with simplified strain leads to a constant mass matrix. The stiffness matrix consists of two parts: One part depends on the small-strain stiffness matrix of the body in the fixed reference configuration which is rotated by the rotation matrix and a second nonlinear part which depends quadratically on small strains. Both formulations represent displacements and deformations differently but lead to exactly the same results in the case of equivalent floating reference configurations. The relationship of both formulations is compared in a 2D example problem of a rotating hinged plate. A detailed description of the modelling in both cases as well as numerical results are presented.
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Sugihara, Takanori. "Matrix product variational formulation for lattice gauge theory." In QUARK CONFINEMENT AND THE HADRON SPECTRUM VI: 6th Conference on Quark Confinement and the Hadron Spectrum - QCHS 2004. AIP, 2005. http://dx.doi.org/10.1063/1.1920975.

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Ahmad, Shamsatun Nahar, and Nor’aini Aris. "The implementation of a hybrid resultant matrix formulation." In THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4932424.

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Reports on the topic "Matrix formulation"

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Brodsky, Stanley J. The Heisenberg Matrix Formulation of Quantum Field Theory. Office of Scientific and Technical Information (OSTI), 2001. http://dx.doi.org/10.2172/798924.

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Gougar, Hans D., William Knox Terry, and Abderrafi Mohammed-El-Ami Ougouag. Matrix Formulation of Pebble Circulation in the PEBBED Code. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/910663.

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Cozzi, A., C. Crawford, K. Fox, E. Hansen, and K. Roberts. Supplemental Immobilization of Hanford Low-Activity Waste: Cast Stone Augmented Formulation Matrix Tests. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1204362.

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Bis, R. F., James A. Barnes, William V. Zajac, Patrick B. Davis, and Robert M. Murphy. Safety Characteristics of Lithium Primary and Secondary Battery Systems. Formulation of a Lithium Battery Safety Matrix. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada181040.

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Michalopoulos, C. D. PR-175-420-R01 Submarine Pipeline Analysis - Theoretical Manual. Pipeline Research Council International, Inc. (PRCI), 1985. http://dx.doi.org/10.55274/r0012171.

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Describes the computer program SPAN which computes the nonlinear transient response of a submarine pipeline, in contact with the ocean floor, to wave and current excitation. The dynamic response of a pipeline to impact loads, such as loads from trawl gear of fishing vessels, may also be computed. In addition, thermal expansion problems for submarine pipelines may be solved using SPAN. Beam finite element theory is used for spatial discretization of the partial differential equations governing the motion of a submarine pipeline. Large-deflection, small-strain theory is employed. The formulation involves a consistent basis and added mass matrix. Quadratic drag is computed using a nonconventional approach that involves the beam shape functions. Soil-resistance loads are computed using unique pipeline-soil interaction models which take into account coupling of axial and lateral soil forces. The nonlinear governing equations are solved numerically using the Newmark Method. This manual presents the discretized equations of motion, the methods used in determining hydrodynamic and soil-resistance forces, and the solution method.
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Soldano, Miguel, Michelle Fryer, Euric Allan Bobb, et al. Evaluation of the Results of the Realignment. Inter-American Development Bank, 2014. http://dx.doi.org/10.18235/0010579.

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The Realignment defined four key goals to respond to a perceived loss of Bank relevance and presence in LAC: sharpening sector focus and expertise, sharpening country focus, strengthening risk- and results-based management, and enhancing institutional efficiency. To achieve these goals, it proposed adjustments to the Bank's structure, processes, and human resources and incentives which included, among other things, the introduction of a new matrix organization, the delegation of additional responsibilities to country offices and project team leaders, the updating of operational and corporate processes, and changes in staffing and HR policies. This evaluation concludes that the Realignment's underlying direction toward a matrix structure and greater decentralization were appropriate, but it has not yet achieved all of its objectives. There are several noteworthy trends on the positive side. The technical skills of Bank staff have improved, the capacity to generate and disseminate knowledge has increased, and more authority has been delegated to country representatives and team leaders, bringing IDB closer to the client. The collaboration between staff in the same sector in country offices and headquarters has increased, as has the continuity of project team membership over the project cycle. However, the matrix is not yet functioning well. VPC has limited authority and few mechanisms to coordinate Bank inputs at the country level to ensure delivery of a coherent and efficient program. VPS and VPP have limited opportunity or incentive to bring their knowledge and influence to bear in country strategy and programming. Sector silos are tall and the pressures to lend and disburse greater than ever. As a result, the Bank and its borrowing countries are not reaping the full potential gains from cross-matrix coordination and collaboration in country strategy and program formulation, project design and implementation, and knowledge sharing. Moreover, the evaluation did not find conclusive evidence of improved efficiency. Some processes (such as quality control at the project level) appear unnecessarily time-consuming and uncertain, and the lack of full cost accounting or binding budget constraints for task teams weakens incentives for the efficient use of resources. The report offers five broad recommendations: (i) to enhance country focus, further strengthen the country program management function in country offices; (ii) to enhance inter-VP coordination and country program coherence, strengthen the role of VPS and VPP in country strategy-setting and programming; (iii) To enhance development effectiveness, strengthen mechanisms for quality control of Bank operational products; (iv) to enhance efficiency, continue to strengthen budget processes and information systems to ensure full and accurate cost accounting; and, (v) to promote effectiveness and efficiency, fill a significantly higher share of management positions through transparent competitive processes. Under each recommendation the evaluation proposes specific measures Bank management should consider (among other options) to move in the directions recommended.
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Dave, Foram, Mahmood Ali, Mozaffar Mokhtari, Richard Sherlock, Alistair Mcllhagger, and David Tormey. Effect of pigments on laser beam transmission in diode laser transmission welding of poly(propylene). Universidad de los Andes, 2024. https://doi.org/10.51573/andes.pps39.gs.pc.4.

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Welding technologies are state of the art for joining polymer composites, with one of the two joining parts considered laser transmissive (LT) and the other laser absorptive (LA). Pigments are often added to LT to enhance the crystallinity of the polymer matrix. However, pigments lead to internal scattering of the laser beam and the rate of transmission or the laser energy density decreases. Depending upon the type and amount of pigments added in the formulation of LT, the percentage of the laser beam transmitted, absorbed, or scattered differs. Laser welding performance depends on the laser energy available for welding after considering the losses. In the present study, optical transmission of injection molded isotactic polypropylene (iPP) samples were analyzed with a varying dosage of organic pigment (neat PP, 2%, 3%, 4%, 5%, 6%, 8%, and 10%) using a LPKF TMG 3 transmission tester. The device uses a wavelength of 980 nm and simulates the optical radiation conditions of diode laser transmission welding (LTW). The percentage transmission varied with the sample thickness and the composition percentage of pigment. The modified Bouguer-Lambert law described the transmission energy and apparent extinction coefficient. The model was validated with the experimental value of transmittances of the samples with varying sample thicknesses of iPP. There was a decrease in the percentage of laser transmission with an increase in the pigment content of the samples. It was found that the apparent extinction coefficient is a function of the pigment levels.
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Szwedzki, Roni, Jose Fajgenbaum, Ana Ramirez-Goldin, et al. Country Program Evaluation: Costa Rica (2011-2014). Inter-American Development Bank, 2015. http://dx.doi.org/10.18235/0010606.

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This document presents the results of the evaluation of the Bank's country program with Costa Rica for the period 2011-2014. This is the fourth time the Office of Evaluation and Oversight (OVE) has provided an independent review of the Bank's program with Costa Rica. The first Country Program Evaluation (CPE) in 2003 covered the period 1990-2001, during which an open trade model was consolidated, leading to substantial foreign direct investment. The second CPE covered the period 2002-2006, in which the country was heavily exposed to external shocks. The third and most recent evaluation, covering 2007-2011, highlighted the difficulty of forging linkages between the mostdynamic sectors and the rest of the economy, and drew attention to the State's dwindling capacity to finance investments as a result of its low tax burden and heavy expenditure rigidities. The evaluation was conducted in accordance with the OVE mandate (document RE-238 corr.) and the Protocol for Country Program Evaluations (document RE-348-2). Its main purposes are to facilitate accountability and identify lessons learned that can enhance the Bank's future program. The evaluation took into account the new country strategy paper models (document GN-2468-6) developed by Management, the most significant practical effects of which were: (i) the de facto separation of the formulation of the country strategy and the programming of operations; (ii) the new emphasis on sector notes; and (iii) the updating of the strategy results matrix and programming documents. The production of this document involved interviews with some 200 people, including the Bank's main counterpart (the Ministry of Finance); sector-level executing units and the staff responsible for them at the ministerial level; as well as civil society organizations, academics, representatives of international organizations in Costa Rica, and the Bank's Representative and Country Office and headquarters staff. OVE is particularly grateful to the participants in the 22 workshops held in the country, and also to the Regional Manager's Office, the Bank's staff in the Country Office, and the people and authorities of Costa Rica for their generous hospitality. To fulfill the goal of analyzing the Bank's work during this strategy cycle, OVE reviewed a portfolio of all loans and technical cooperation programs approved between 2011 and 2014, as well as those approved earlier but mostly executed during this period. The lessons learned from this CPE should to serve as a useful input not only when preparing the next country strategy with Costa Rica, but also for the Bank to further enhance its service to similar middle-income countries, where access to alternative sources of financing presents new opportunities and challenges for the Bank.
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