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Relevant bibliographies by topics / Unit fraction

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Academic literature on the topic 'Unit fraction'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 February 2022

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Journal articles on the topic "Unit fraction"

1

Ganor-Stern, Dana, Irina Karasik-Rivkin, and Joseph Tzelgov. "Holistic Representation of Unit Fractions." Experimental Psychology 58, no. 3 (2011): 201–6. http://dx.doi.org/10.1027/1618-3169/a000086.

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The present study examined the processing of unit fractions and the extent to which it is affected by context. Using a numerical comparison task we found evidence for a holistic representation of unit fractions when the immediate context of the fractions was emphasized, that is when the stimuli set included in addition to the unit fractions also the numbers 0 and 1. The holistic representation was indicated by the semantic congruity effect for comparisons of pairs of fractions and by the distance effect in comparisons of a fraction and 0 and 1. Consistent with previous results (Bonato, Fabbri,

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Edwards, Thomas G. "Using Ancient Egyptian Fractions to Review Fraction Concepts." Mathematics Teaching in the Middle School 10, no. 5 (2005): 226–29. http://dx.doi.org/10.5951/mtms.10.5.0226.

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Much of What We Know Today About the mathematics of ancient Egypt is contained in a papyrus scroll that was copied from an earlier scroll by the scribe Ahmes in about 1650 BME (before the modern era) (Boyer 1968). A fascinating feature of ancient Egyptian mathematics is its treatment of common fractions. In most cases, the Egyptians used only unit fractions, that is, fractions with numerators of 1. The one common exception is 2/3, and they would occasionally use fractions of the form n/(n + 1). However, both forms are complements of unit fractions.

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Empson, Susan Baker, Victoria R. Jacobs, Naomi A. Jessup, Amy Hewitt, D'Anna Pynes, and Gladys Krause. "Unit Fractions as Superheroes for Instruction." Mathematics Teacher: Learning and Teaching PK-12 113, no. 4 (2020): 278–86. http://dx.doi.org/10.5951/mtlt.2018.0024.

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The complexity of understanding unit fractions is often underappreciated in instruction. We introduce a continuum of children's understanding of unit fractions to explore this complexity and to help teachers make sense of children's strategies and recognize milestones in the development of unit-fraction understanding. Suggestions for developing this understanding are provided.

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Hudson, Michael. "HOW INTEREST RATES WERE SET, 2500 BC-1000 AD: Máš, tokos and foenus as Metaphors for Interest Accruals." Journal of the Economic and Social History of the Orient 43, no. 2 (2000): 132–61. http://dx.doi.org/10.1163/156852000511259.

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AbstractThe earliest interest rates in Mesopotamia, Greece and Rome were set not "economically" to reflect profit or productivity rates, but by the dictates of mathematical simplicity of calculation. The interest that was "born" calendrically did not take the form of young animals, but rather of the "unit fraction," the smallest unit fraction in each of the above fractional systems: 1/60th in the Mesopotamia, 1/10th in Greece, and 1/12th in Rome. The "birth" or "calf/kid" metaphor for interest thus referred to "baby fractions", not literally baby animals.

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Agustiani, Riza, and Agustiany Dumeva Putri. "Hypothetical Learning Trajectory (HLT) For Fraction of Blind Students Using Braille Media Fraction Block." Jurnal Didaktik Matematika 8, no. 1 (2021): 90–105. http://dx.doi.org/10.24815/jdm.v8i1.18138.

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. Learning fractions is one of difficult topics for students with visual impairments. The aim of this design research is to describe the design process of Hypothetical Learning Trajectory for the addition of fractions using Fraction Block Braille. This research is divided into 3 stages, the preparation for the experiment, the design experiment, and the retrospective analysis. Data collection techniques in this research are walkthrough, observation, interview, and test. This research resulted in a Hypothetical Learning Trajectory design for the addition of fractions contains the following activ

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Chiosi, Lou. "Integral Solutions of Unit Fraction Equations." School Science and Mathematics 86, no. 2 (1986): 137–43. http://dx.doi.org/10.1111/j.1949-8594.1986.tb11599.x.

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Bistritz, Yuval. "Fraction-Free Unit Circle Stability Tests." Circuits, Systems, and Signal Processing 33, no. 12 (2014): 3783–807. http://dx.doi.org/10.1007/s00034-014-9824-3.

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Wahyu, Kamirsyah, Taha Ertugrul Kuzu, Sri Subarinah, Dwi Ratnasari, and Sofyan Mahfudy. "PARTITIVE FRACTION DIVISION: REVEALING AND PROMOTING PRIMARY STUDENTS’ UNDERSTANDING." Journal on Mathematics Education 11, no. 2 (2020): 237–58. http://dx.doi.org/10.22342/jme.11.2.11062.237-258.

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Students show deficient understanding on fraction division and supporting that understanding remains a challenge for mathematics educators. This article aims to describe primary students’ understanding of partitive fraction division (PFD) and explore ways to support their understanding through the use of sequenced fractions and context-related graphical representations. In a design-research study, forty-four primary students were involved in three cycles of teaching experiments. Students’ works, transcript of recorded classroom discussion, and field notes were retrospectively analyzed to exami

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Xu, Aiping, and George Lenton. "Understanding of fraction and its application in unit conversions." MSOR Connections 16, no. 1 (2017): 53. http://dx.doi.org/10.21100/msor.v16i1.425.

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Many British university students lack confidence in manipulating fractions. In this paper, we take a detailed look into the difficulties that students are experiencing across disciplines. We also introduce a method on how to effectively convert units via manipulating fraction operations. Though this approach to unit conversions is widespread in the United States, particularly in the discipline of Chemistry, it is not well documented or applied within the UK Higher Education sector to the authors’ knowledge. The method has been frequently used by the authors in Coventry's Mathematics Support Ce

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Ouyang, Yong, Xiao Ling Hu, Xiu Liu, and Wen Bo Luo. "A New 3-D Unit Cell Model Used in Homogenization Estimation of Effective Properties of Particle-Filled Composites." Advanced Materials Research 374-377 (October 2011): 1269–73. http://dx.doi.org/10.4028/www.scientific.net/amr.374-377.1269.

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A new 3D unit cell model is developed for homogenization calculation of composites containing randomly dispersed ellipsoid inclusions. The new unit cell is constructed using the Ansys Parameter Design Language (APDL), taking the inclusion volume fraction, inclusion orientation and spatial dispersion as variables. A series of unit cells containing multiple ellipsoids, showing random distributions in particle size and position, were constructed and used for finite element calculation at microscale, the effective modulus of the composites with periodic microstructures, which modeled by the unite

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Dissertations / Theses on the topic "Unit fraction"

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Crawford, Matthew Brendan. "On the Number of Representations of One as the Sum of Unit Fractions." Thesis, Virginia Tech, 2019. http://hdl.handle.net/10919/90573.

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The Egyptian Fractions of One problem (EFO), asks the following question: Given a positive integer n, how many ways can 1 be expressed as the sum of n non-increasing unit fractions? In this paper, we verify a result concerning the EFO problem for n=8, and show the computational complexity of the problem can be severely lessened by new theorems concerning the structure of solutions to the EFO problem.<br>Master of Science<br>Expressing numbers as fractions has been the subject of one’s education since antiquity. This paper shows how we can write the number 1 as the sum of uniquely behaved fract

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You, Cindy. "Impact of Left Ventricular Heart Failure With Preserved Ejection Fraction and Right Ventricular Systolic Heart Failure on Outcomes in the Intensive Care Unit." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:17295904.

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Heart failure is a common diagnosis in the intensive care unit (ICU) with many studies regarding left ventricular systolic dysfunction and ICU outcomes. Less commonly explored are heart failure with preserved ejection fraction (HFpEF), also known as diastolic heart failure, and right ventricular heart failure in ICU outcomes. We sought to study the impact of both diastolic heart failure and right ventricular heart failure on general ICU outcomes. This retrospective cohort study includes 919 patients admitted to an ICU of a major tertiary care medical center with HFpEF, and 298 patients from t

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Nordliden, Petter, and Sjöbladh Linda Didrik. "Måste det alltid bråkas med bråk? : En systematisk litteraturstudie om stambråkets betydelse i matematikundervisningen." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-91687.

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Denna systematiska litteraturstudie syftar till att med hjälp av forskning identifiera avgörande faktorer för framgångsrika undervisningsstrategier av stambråk i grundskolans matematikundervisning. Studien baseras på elva vetenskapliga artiklar som bearbetats systematiskt med hjälp av innehållsanalys för att besvara forsknings-frågorna om vilka avgörande faktorer som forskningen visar för undervisningen av stambråk samt vilka framgångsrika undervisningsstrategier som finns. Forskningen visar att areamodellen som representationsform dominerar undervisningen av bråk vilket innebär att stambråk f

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Munoz, Susana L. "A Fundamental Unit of O_K." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/133.

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In the classical case we make use of Pells equation to compute units in the ring OF. Consider the parallel to the classical case and the quadratic field extension that creates the ring OK. We use the generalized Pell's equation to find the units in this ring since they are solutions. Through the use of continued fractions we may further characterize this ring and compute its units.

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Boyce, Steven James. "Modeling Students' Units Coordinating Activity." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/50430.

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Primarily via constructivist teaching experiment methodology, units coordination (Steffe, 1992) has emerged as a useful construct for modeling students' psychological constructions pertaining to several mathematical domains, including counting sequences, whole number multiplicative conceptions, and fractions schemes. I describe how consideration of units coordination as a Piagetian (1970b) structure is useful for modeling units coordination across contexts. In this study, I extend teaching experiment methodology (Steffe and Thompson, 2000) to model the dynamics of students' units coordinatin

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Malaty, George. "Isomorphic Visualization and Understanding of the Commutativity of Multiplication: from multiplication of whole numbers to multiplication of fractions." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82868.

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Alghamdi, Ohud. "Removable Singularities for Holder Continuous Solutions of the Fractional Laplacian." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1459422077.

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Keddad, Benjamin. "Four essays on monetary and financial integration in Asia." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM1096/document.

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Dans cette thèse, nous proposons quatre contributions originales à l'étude de l'intégration monétaire et financière des pays asiatiques.Dans le premier chapitre nous déterminons la sensibilité relative des devises asiatiques (ASEAN-5, Corée du Sud) face aux chocs simulés sur le dollar, l'euro et l'ACU. Nous mettons en évidence la volonté de ces pays de se détourner d'une politique de change exclusivement centrée sur le dollar vers une politique plus flexible, où le poids de l'ACU semble avoir gagné en importance.Le deuxième chapitre met l'accent sur la synchronisation entre les cycles des affa

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Lin, Chun-Ming, and 林俊明. "The Effects of Teaching Unit Volume Concept on Decimal Division and Fraction." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/scc74m.

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碩士<br>國立臺南大學<br>應用數學系數學科教學碩士班<br>102<br>This study aimed to investigate the effectiveness of teaching after the fourth grade students for acceptance to mention in this study, "the concept of teaching a unit volume and fractional units of fractional divide research," learning retention effect and problem solving performance history, architecture through teaching experiment teaching, as well as pre-test, post-test and retention tests, semi-structured interviews to collect data and analyze statistical learning. The results are summarized as follows: 1, The experimental group students in decimal a

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Ko, Deng-Fu, and 柯鐙富. "An Action Research Of Remedial Instruction for Fraction Unit At Elementary School Fourth Grade." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/hj2tvk.

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碩士<br>國立臺東大學<br>進修部暑期學校行政碩士班<br>100<br>The study is an action research to probe into the misconceptions for four grades students and proceed with remedial instruction for understanding and applicability of teaching activities. In conclusion, the researcher brings up introspection and suggestion. The object of this case study is four fourth grade students. Comprehending their obvious misconceptions in fraction unit by the pretest and designing the various teaching activities to carry out the remedial instruction. Thus expected to the students are possessed of the basic ability in this stage. At

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Books on the topic "Unit fraction"

1

yadav, Sanjay. The size and the power of unit root tests against fractional alternatives: A Monte Carlo investigation. Warwick University, Department of Economics, 1994.

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Soper, Sandra. Junior maths 2: Multiplication tables, written problems, adding in 50's, hundreds, tens and units, further fraction work. Piccolo, 1985.

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Mighton, John. Jump Math: Teacher's Manual Fraction Unit. Jump Tutoring, 2004.

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Prentice Hall Skills Intervention - Number Theory and Fraction Concepts, Teacher's Edition: Intervention Unit Teaching Packages - Blackline Masters Teacher's Edition. Pearson Prentice Hall, 2005.

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Calculadder 6: Fractions Review, English & Metric Units, Geometric Concepts, More (A Learning Vitamins Unit). The Providence Project, 2004.

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Math Trailblazers Grade 4 Unit Resource Guide Unit 12 Expolring Fractions. 2nd ed. Kendall/Hunt, 2004.

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Goldenberg, E. Paul. Transition to Algebra, Unit 8, Logic of Fractions. Heinemann, 2014.

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Khanna, Ashish K., and Piyush Mathur. Bariatric Surgery and Acute Cardiovascular Complications in the ICU. Edited by Tomasz Rogula, Philip Schauer, and Tammy Fouse. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190608347.003.0019.

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The increased numbers of bariatric surgical procedures worldwide have translated into a higher number of postoperative intensive care unit (ICU) admissions. The pathophysiologic perturbations in obesity mean that a large fraction of bariatric surgical patients have both diagnosed and undiagnosed underlying coronary artery disease, hypertension, cardiac rhythm disturbances, and baseline cardiac dysfunction. Manifestations of cardiac complications in this patient population are usually extremely subtle, both intraoperatively under anesthesia and in the ICU during the immediate postoperative peri

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Wigmans, Richard. The Energy Response of Calorimeters. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786351.003.0003.

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This chapter deals with the signals produced by particles that are being absorbed in a calorimeter. The calorimeter response is defined as the average signal produced per unit energy deposited in this absorption process, for example in terms of picoCoulombs per GeV. Defined in this way, a linear calorimeter has a constant response. Typically, the response of the calorimeter depends on the type of particle absorbed in it. Also, most calorimeters are non-linear for hadronic shower detection. This is the essence of the so-called non-compensation problem, which has in practice major consequences f

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Seeing Fractions : A Unit for the Upper Elementary Grades. California Department of Education, 1991.

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Book chapters on the topic "Unit fraction"

1

Burkha, Jerry. "Unit Fraction Hunt." In Advanced Common Core Math Explorations. Routledge, 2021. http://dx.doi.org/10.4324/9781003232759-10.

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Alston, Alice S., and Cheryl K. Van Ness. "Switching the Unit." In Children’s Reasoning While Building Fraction Ideas. SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-008-0_8.

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Ness, Cheryl K. Van, and Alice S. Alston. "Establishing the Importance of the Unit." In Children’s Reasoning While Building Fraction Ideas. SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-008-0_7.

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Ness, Cheryl K. Van, and Alice S. Alston. "Justifying the Choice of the Unit." In Children’s Reasoning While Building Fraction Ideas. SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-008-0_9.

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Burcea, Mihai, Prudence W. H. Wong, and Fencol C. C. Yung. "Online Multi-dimensional Dynamic Bin Packing of Unit-Fraction Items." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38233-8_8.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Fraction Fair." In Math Extension Units. Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-43.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Fraction Logic." In Math Extension Units. Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-35.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Fraction Practice." In Math Extension Units. Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-42.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Equivalent Fraction Review." In Math Extension Units. Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-30.

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Leimbach, Judy, Kathy Leimbach, and Mary Lou Johnson. "Comparing Common Fractions." In Math Extension Units. Routledge, 2021. http://dx.doi.org/10.4324/9781003236481-32.

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Conference papers on the topic "Unit fraction"

1

Niu, Ke, Armin Abedini, and Zengtao Chen. "The Influence of Multiple Inclusions on the Cauchy Stress of a Spherical Particle-Reinforced Composite Under Uniaxial Loading." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38542.

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This paper investigates the influence of multiple inclusions on the Cauchy stress of a spherical particle-reinforced metal matrix composite (MMC) under uniaxial tensile loading condition. The approach of three-dimensional cubic multi-particle unit cell is used to investigate the 15 non-overlapping identical spherical particles which are randomly distributed in the unit cell. The coordinates of the center of each particle are calculated by using the Random Sequential Adsorption algorithm (RSA) to ensure its periodicity. The models with reinforcement volume fractions of 10%, 15%, 20% and 25% are

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Hassan, Sunir, C. Lakshmana Rao, and K. Ganesh Babu. "Unit Cell Approach as a Multi Scale Modeling Technique for Predicting the Behaviour of Fiber Reinforced High Strength Concrete Under Compression." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63541.

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Fiber reinforced concrete has been identified as a particulate composite consisting of hardened cement paste, fine aggregates, coarse aggregates, particulate fibers etc. and each constituent plays a significant role in the combined quasi brittle behaviour of the material. From the view point of a numerical modeler, a two phase model consisting of a matrix phase and a coarse aggregate phase is simple and sufficient enough to take care of the heterogeneity without affecting the capability of the model to predict the material behaviour as reported by Ghouse et al [1]. Thus the unit cell under con

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Jassim, Esam I., Faizan Ahmed, and Bashar Jasem. "Evaluating the Influence of Nanofluid Type and Volume Fraction on the Performance of Heat Exchanger." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23132.

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Abstract The utilization of nanofluid in heat exchanger is of immense interest in the petrochemical and power plant industries due to the durability provided to the exchanger long-life operation. In the present research, an experimental investigation is carried out to study the existence of copper and aluminum oxide nanoparticles in the base fluid and their impact on the performance of the heat exchanger. A comparison with the theoretical outcome is also conducted. Pure water is pumped through the tubes of the heat exchanger unit whereas the nanofluid is pumped into the shell of the unit by me

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Li, Zhifeng, Liangzhi Cao, Hongchun Wu, Chenghui Wan, and Tianliang Hu. "Effects of Applying the Implicit Particle Fuel Model for Pebble-Bed Reactors." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60382.

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In the pebble-bed high temperature gas-cooled reactor, there exist randomly located TRISO coated fuel particles in the pebbles and randomly located pebbles in the core, which is known as the double stochastic heterogeneity. In the previous research, the regular lattice pattern was used to approximately simulate the pebble unit cells because the difficulties in modeling the randomly located TRISO geometric. This work aimed at to quantify the stochastic effect of high-temperature gas cooled pebble-bed reactor unit cells, and in view of the strong ability to carry out the accurate simulation of r

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Huber, Christopher O., Sascha Kremmer, and Heinz E. Pettermann. "Finite Element Simulation of Metal Matrix Composites: Effective Coefficients of Friction and Temperature Fields Under Frictional Loading." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63272.

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Computational predictions on the tribological behavior of metal matrix composites (MMCs) are carried out. The influence of particle volume fraction and clustering of particles is investigated at different length scales. Finite Element simulations are performed on unit cells utilizing approaches from the field of ‘continuum mechanics of materials’. Models are based on the work of Segurado et al. [1], who used homogeneous, randomly distributed inclusions in a matrix phase with 30% particle volume fraction. In addition, the present work introduces modified unit cells with 10% volume fraction, wit

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Liu, Xingchen. "Distributed Design of Two-Scale Structures With Unit Cells." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97672.

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Abstract The use of unit cell structures in mechanical design has seen a steady increase due to their abilities to achieve a wide range of material properties and accommodate multi-functional requirements with a single base material. We propose a novel material property envelope (MPE) that encapsulates the attainable effective material properties of a given family of unit cell structures. The MPE interfaces the coarse and fine scales by constraining the combinations of the competing material properties (e.g., volume fraction, Young’s modulus, and Poisson’s ratio of isotropic materials) during

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Hashemi, Ali, Ala E. Omrani, Matthew A. Franchek, Karolos Grigoriadis, and Behrouz Ebrahimi. "An Intelligent Pumping System to Cope With Gas Volume Fraction of the Oil-Well Multi-Phase Flow." In ASME 2014 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/dscc2014-6171.

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A novel approach is presented to model the interplay between the gas volume fraction (GVF) and the driving force of the pumping unit. A physics-based model is proposed to predict the down-hole pressure for a constant, but unknown GVF and given oil flow-rate out of the well. The identified down-hole pressure is used to model the saddle-bearings axial displacements, which are indicative of polished-rod loading. The imbalance between the data obtained from the detailed model of the pumping unit, and predicted bearing’s displacements can be employed then to estimate the value of the GVF. The resul

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Hanks, Bradley, and Mary Frecker. "3D Additive Lattice Topology Optimization: A Unit Cell Design Approach." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22386.

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Abstract Non-stochastic lattice structures are patterned after the unit cell topology and are of interest to the research and design communities for improving stiffness to weight ratios and/or metamaterial design. While additive manufacturing (AM) increases design freedom, it remains difficult to design or select an appropriate unit cell topology. In this work, a ground structure topology optimization approach is developed for unit cell design. Using a multi-objective evolutionary algorithm, this framework incorporates a library of different objectives, constraints, and penalties. The Additive

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Ide, Hideo, Ryuji Kimura, and Masahiro Kawaji. "Optical Measurement of Void Fraction and Bubble Size Distributions in a Microchannel." In ASME 4th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2006. http://dx.doi.org/10.1115/icnmm2006-96100.

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An optical measurement system was developed to investigate gas-liquid two-phase flow characteristics in a circular microchannel of 100 μm diameter. By using multiple optical fibers and infrared photodiodes, void fraction and gas plug and liquid plug lengths, and their velocities were measured successfully. The probes responded to the passage of gas and liquid phases through the microchannel adequately so that the time-average void fraction could be obtained from the time fraction for each phase. Also, by cross-correlating the signals from two neighboring probes, the interface velocity represen

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Singh, Kaushlendra, Mark Risse, K. C. Das, and John Worley. "Determination of Composition of Cellulose and Lignin Mixtures Using Thermo Gravimetric Analysis (TGA)." In 15th Annual North American Waste-to-Energy Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/nawtec15-3222.

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The proportional composition of cellulose, hemicellulose, lignin and minerals in a biomass plays a significant role in the proportion of pyrolysis products (bio-oil, char, and gases). Traditionally, the composition of biomass is chemically determined, which is a time consuming process. This paper presents the results of a preliminary investigation of a method using thermo-gravimetric analysis for predicting the fraction of cellulose and lignin in lignin-cellulose mixtures. The concept is based on a newly developed theory of Pyrolytic Unit Thermographs (PUT). The Pyrolytic Unit Thermograph (PUT

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