Tesi sul tema "Higher"
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Yung, Man-sing. "Education and the labour market : the implications of higher education expansion in Hong Kong in the 1990s /". Hong Kong : University of Hong Kong, 1990. http://sunzi.lib.hku.hk/hkuto/record.jsp?B18916107.
Testo completoWilliams, Kristen K. "From aspirations to access the role of place in the facilitators of and barriers to postsecondary education attendance /". Muncie, Ind. : Ball State University, 2009. http://cardinalscholar.bsu.edu/833.
Testo completoHordern, James. "Higher education and higher skills : exploring the policy implementation process". Thesis, University of Huddersfield, 2012. http://eprints.hud.ac.uk/id/eprint/17492/.
Testo completoKrishnaswami, Neelakantan R. "Verifying Higher-Order Imperative Programs with Higher-Order Separation Logic". Research Showcase @ CMU, 2012. http://repository.cmu.edu/dissertations/164.
Testo completoCárdenas, Franqui. "Higher gap morasses". [S.l.] : [s.n.], 2005. http://deposit.ddb.de/cgi-bin/dokserv?idn=976715112.
Testo completoSchroeder, Marc A. "Higher-order Charity". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq24697.pdf.
Testo completoHijano, Cubelos Eliot. "Higher spin gravity". Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=110694.
Testo completoCette thèse s'intéresse aux théories gravitationnelles couplées à des spins entiers avec une constante cosmologiquenégative, dont l'origine provient de l'étude du groupe de jauge sl_N. La gravitation dans l'espace tridimensionnel anti de Sitter est d'abord décrite de manière semi-classique et la dualité avec la théorie conforme de champs en deux dimensions est ensuite présentée. L'exposition des solutions de la théorie N=3 permet la caractérisation des trous noirs par les propriétés des holonomies autour de boucles non-contractiles. L'invariance de jauge rapproche alors ces solutions aux trous noirs BTZ avec une charge d'un champ Chern-Simons. Néanmoins, la géometrie de l'espace-temps dépend du plongement des symétries gravitationnelles SL(2,R) dans le groupe de jauge SL(N,R). Le spectre des solutions est calculé pour tous ces plongements, et la condition de positivité exclut alors tous les cas sauf le plongement principal.
Chang, Chi-Ming. "Higher Spin Holography". Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11392.
Testo completoPhysics
Kibby, Helen R. "Higher Sites 101". Virtual Press, 2006. http://liblink.bsu.edu/uhtbin/catkey/1337199.
Testo completoDepartment of Telecommunications
Thompson, Alison. "The Higher Learning". Miami University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=miami1452180306.
Testo completoCárdenas, Franqui. "Higher gap morasses". Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2005. http://dx.doi.org/10.18452/15323.
Testo completoVelleman proved the consistency of the existence of simplified gap 2 morasses (equivalent to the concrete morasses defined by Jensen) using a two stage forcing. We give an essentially different proof of the same result and fill up some details from Velleman's paper which were not clear or imcomplete. In fact the proof uses a simpler definition of simplified gap 2 morasses. We have also eliminated the use of square-like sequences in the second stage, employing a ``guessing'' procedure for sequences which are not fixed and do not satisfy full coherence requirement. With these steps we hope to have laid the foundation for a future proof of gap n morasses in ZFC.
Wallbridge, James. "Higher Tannaka duality". Toulouse 3, 2011. http://thesesups.ups-tlse.fr/1440/.
Testo completoIn this thesis we prove a Tannaka duality theorem for (infini, 1)-categories. Classical Tannaka duality is a duality between certain groups and certain monoidal categories endowed with particular structure. Higher Tannaka duality refers to a duality between certain derived group stacks and certain monoidal (infini, 1)-categories endowed with particular structure. This higher duality theorem is defined over derived rings and subsumes the classical statement. We compare the higher Tannaka duality to the classical theory and pay particular attention to higher Tannaka duality over fields. In the later case this theory has a close relationship with the theory of schematic homotopy types of Toën. We also describe three applications of our theory : perfect complexes and that of both motives and its non-commutative analogue due to Kontsevich
Mertova, Patricie. "Quality in higher education: stories of English and Czech academics and higher education leaders". Monash University. Faculty of Law, 2008. http://arrow.monash.edu.au/hdl/1959.1/53585.
Testo completoJohnston, Iain Mark. "In the wrong class : a comparative analysis of the British Labour Party's political discourse of higher education and social class with the Barlow, Robbins and Dearing reports /". view abstract or download file of text, 2005. http://wwwlib.umi.com/cr/uoregon/fullcit?p3190525.
Testo completoTypescript. Includes vita and abstract. Includes bibliographical references (leaves 186-201). Also available for download via the World Wide Web; free to University of Oregon users.
Franklin, Kathryn K. "Exploring the Congruency Between Student Satisfaction and Institutional Effectiveness in Higher Education". Digital Commons @ East Tennessee State University, 1996. https://dc.etsu.edu/etd/2679.
Testo completoBoothe, Barbara. "Linking assessment, strategic planning, and budget planning". Lynchburg, Va. : Liberty University, 2002. http://digitalcommons.liberty.edu.
Testo completoWilliams, Nashira. "Why Black Collegiate Women Volunteer: A Perspective on Meaning Making through Service with the Community". FIU Digital Commons, 2019. https://digitalcommons.fiu.edu/etd/3964.
Testo completoPaoloni, Lorenzo. "On higher-derivative operators in supersymmetric theories". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2022. http://amslaurea.unibo.it/25119/.
Testo completoShawa, Lester Brian. "Can higher education policy frameworks engender quality higher education in Malawian universities?" Thesis, Stellenbosch : Stellenbosch University, 2007. http://hdl.handle.net/10019.1/21793.
Testo completoENGLISH ABSTRACT: Through policy document analyses and in-depth semi-structured interviews, this thesis examines the potential of higher education policy frameworks to engender quality university education in Malawian universities. Pertinent to the fast-growing higher education sector in Malawi is the connection between higher education policy frameworks and quality delivery of university education. Education policy frameworks in Malawi are mainly a response to the government’s broad policy of poverty alleviation. Thus this thesis argues that quality university education ought to contribute to poverty alleviation especially by assisting the country to achieve its Millennium Development Goals (MDGs) and to implement the initiatives of the New Economic Partnership for Africa’s Development (NEPAD). To engender quality university education that could help to alleviate poverty in Malawi, this thesis through Habermasian critical inquiry proposes that quality ought to be the corollary of defensible higher education policy frameworks, policy documents need to delineate quality parameters, access to university education needs to be increased and, inevitably, discursive or deliberative higher education policy making ought to be given primacy.
AFRIKAANSE OPSOMMING: Aan die hand van beleidsdokumentontleding en diepgaande, semigestruktureerde onderhoude, ondersoek hierdie tesis die potensiaal van hoëronderwysbeleidsraamwerke om gehalte universiteitsonderrig in Malawiese universiteite teweeg te bring. Van besondere belang vir die snelgroeiende hoëronderwyssektor in Malawi is die verband tussen hoëronderwysbeleidsraamwerke en die lewering van gehalte universiteitsonderrig. Malawiese onderwysbeleidsraamwerke is hoofsaaklik 'n reaksie op die regering se omvattende armoedeverligtingsbeleid. Daarom voer hierdie tesis aan dat gehalte universiteitsonderrig tot armoedeverligting behoort by te dra, veral deur die land te help om sy millenniumontwikkelingsdoelwitte (MOD’s) te bereik en die inisiatiewe van die Nuwe Vennootskap vir Afrika-ontwikkeling (NEPAD) in werking te stel. Ten einde gehalte universiteitsonderrig teweeg te bring wat armoede in Malawi kan help verlig, doen hierdie tesis deur Habermasiese kritiese ondersoek aan die hand dat gehalte die uitvloeisel van verdedigbare hoëronderwysbeleidsraamwerke moet wees, dat beleidsdokumente gehaltegrense moet neerlê, dat toegang tot universiteitsonderrig verbeter moet word, en dat beredeneerde of oorwoë hoëronderwysbeleidbepaling onafwendbaar voorrang behoort te geniet.
Oktik, Nurgun. "Restructuring Turkish higher education : the 1981 Higher Education Law and its effects". Thesis, Durham University, 1995. http://etheses.dur.ac.uk/1037/.
Testo completoVan, Delinder Kurt William. "Higher statistical uncertainty with small pixel sizes gives higher gamma pass rates". Thesis, Wayne State University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10193739.
Testo completoMonte Carlo (MC) based dose calculation methods trade-off accuracy at the expense of computational time, which is, correlated to the user input values of statistical uncertainty and pixel spacing (1). It was first hinted by low et. al. that noise generated within either the calculated or measured plan distributions can affect the result of the plan verification by method of ‘Gamma Index Analysis’(GI) (2). The purpose of this research experiment is to investigate a possible correlation between added noise from increasing MC statistical uncertainty and increasing the odds of a plan passing the GI verification criteria. For this research experiment, we calculated 10 head and neck radiation therapy treatment plans using the MC dose calculation method within Monaco TPS. We varied the statistical uncertainty values from 5%, 3%, 1% and 0.25% and varied the voxel size values from 3mm, 2mm and 1mm. The treatment plans were then administered on an Elekta Versa linear accelerator and measured using Mapcheck dose measurement device. Each plan was evaluated for clinical pass/fail using the GI Analysis with criteria 3%/3mm and 2%/2mm. For 1 mm voxel size, 3%/3mm GI, there was an increase in average gamma pass rates from 98.91% calculated at 0.5% statistical uncertainty to 99.61% calculated at 5% statistical uncertainty. For 1 mm voxel size, 2%/2mm GI, there was an increase in average gamma pass rates from 97.02% calculated at 0.5% statistical uncertainty to 98.80% calculated at 5% statistical uncertainty. At 2 mm and 3 mm voxel sizes, there was not a clear demonstrable increase in average gamma pass rates. The experimental results conclude that the user must be careful when selecting a statistical uncertainty prior to performing a MC dose calculation. The input of a high statistical uncertainty does not lead to more points failing the GI, but paradoxically, can increase the chances that the evaluated radiation therapy plan will pass the acceptance evaluation.
Beskow, Cecilia. "Towards a higher efficiency". Doctoral thesis, KTH, Machine Design, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-2938.
Testo completoOzonder, Sener. "Viable Higher Derivative Theories". Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608468/index.pdf.
Testo completoSultana, Nikolai. "Higher-order proof translation". Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/247345.
Testo completoDrew, Simon. "Dyscalculia in higher education". Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/21472.
Testo completoAbolghasem, Hossein. "Higher-dimensional vacuum cosmologies". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0028/NQ36547.pdf.
Testo completoMagoula, Angeliki-Elen Myers Christopher S. "Cost in higher education". Monterey, Calif. : Naval Postgraduate School, 2007. http://bosun.nps.edu/uhtbin/hyperion-image.exe/07Jun%5FMagoula%5FMBA.pdf.
Testo completoAdvisor(s): Euske, Kenneth ; Gates, Bill. "June 2007." "MBA professional report"--Cover. Description based on title screen as viewed on August 15, 2007. Includes bibliographical references (p. 65-67). Also available in print.
Jacobs, Denise Anne. "Multiwavelets in higher dimensions". Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/28780.
Testo completoSharp, Richard William. "Higher-level hardware synthesis". Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619747.
Testo completoHarvey, Benjamin Manson. "Laccases in higher plants". Thesis, University of Canterbury. Biochemistry, 1997. http://hdl.handle.net/10092/6546.
Testo completoBeacham, Annabel R. "Studies on higher sugars". Thesis, University of Oxford, 1994. http://ora.ox.ac.uk/objects/uuid:a392cc72-9ff2-43cf-a9c4-38f16df261ff.
Testo completoKummer, Christian. "Wikis in higher education". Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-138370.
Testo completoMagoula, Angeliki-Elen, e Christopher S. Myers. "Cost in higher education". Monterey California. Naval Postgraduate School, 2007. http://hdl.handle.net/10945/10222.
Testo completoState and Federal legislature require that standard data on education-related expenditures be provided by universities and colleges in order to standardize methodology and accountability used nationwide by institutions of higher education. The aim is to review existing cost criteria and procedures for determining costs. Accounting structures vary by institution, and by school. This variability across schools makes decision making a difficult task. The objective of this research is to look into the cost structure used presently by two institutions of higher education, namely the Naval Postgraduate School (NPS) and California State University of Monterey Bay (CSUMB). The financial data that determines the consistency of the cost metrics in the decision making process of these institutions is considered. An analysis of the cost information used to make and support decisions is presented. The variety of the cost structures within the researched institutions is analyzed and compared, in order to identify the factors that generate the differences. The research concluded that both institutions should continue to develop the cost structure to have a comparative view across schools for more efficient planning and the tracing and updating of estimates.
Klein, Florian. "Additive higher representation theory". Thesis, University of Oxford, 2014. https://ora.ox.ac.uk/objects/uuid:b6af63fb-09f6-458b-ac48-01ede93e462f.
Testo completoHaugseng, Rune. "Weakly enriched higher categories". Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/82438.
Testo completoCataloged from PDF version of thesis.
Includes bibliographical references (pages 189-190).
The goal of this thesis is to begin to lay the foundations for a theory of enriched [infinity]categories. We introduce a definition of such objects, based on a non-symmetric version of Lurie's theory of [infinity]-operads. Our first main result is a construction of the correct homotopy theory of enriched [infinity]-categories as a localization of an "algebraic" homotopy theory defined using [infinity]-operads; this is joint work with David Gepner. We then prove some comparison results: When a monoidal [infinity]-category arises from a nice monoidal model category we show that the associated homotopy theory of enriched [infinity]-categories is equivalent to the homotopy theory induced by the model category of enriched categories; when the monoidal structure is the Cartesian product we also show that this is equivalent to the homotopy theory of enriched Segal categories. Moreover, we prove that the homotopy theory of ([infinity], n)-categories enriched in spaces, obtained by iterating our enrichment procedure, is equivalent to that of n-fold complete Segal spaces. We also introduce notions of natural transformations and correspondences in the setting of enriched [infinity]-categories, and use these to construct (co,2)-categories of enriched cocategories, functors, and natural transformations, and double co-categories of enriched [infinity]-categories, functors, and correspondences. Finally, we briefly discuss a non-iterative definition of enriched ([infinity], n)-categories, based on a version of [infinity]-operads over Joyal's categories On, and define what should be the correct [infinity]-category of these.
by Rune Haugseng.
Ph.D.
Shah, Jay (Jay Hungfai Gautam). "Parametrized higher category theory". Thesis, Massachusetts Institute of Technology, 2017. http://hdl.handle.net/1721.1/112894.
Testo completoCataloged from PDF version of thesis.
Includes bibliographical references (page 99).
We develop foundations for the category theory of [infinity]-categories parametrized by a base occategory. Our main contribution is a theory of parametrized homotopy limits and colimits, which recovers and extends the Dotto-Moi theory of G-colimits for G a finite group when the base is chosen to be the orbit category of G. We apply this theory to show that the G-[infinity]-category of G-spaces is freely generated under G-colimits by the contractible G-space, thereby affirming a conjecture of Mike Hill.
by Jay Shah.
Ph. D.
Jia, Y. "Higher order mutation testing". Thesis, University College London (University of London), 2013. http://discovery.ucl.ac.uk/1401264/.
Testo completoMarques, Fernandes Oliveira Goncalo. "Monopoles in higher dimensions". Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/23570.
Testo completoMa, Wen-Jie. "Higher-Point Conformal Blocks". Doctoral thesis, Université Laval, 2021. http://hdl.handle.net/20.500.11794/70384.
Testo completoConformal field theories (CFTs) play a central role in modern theoretical physics. The study of CFTs leads to a deep understanding of both string theory and condensed matter physics. In a CFT, correlation functions are essential ingredients for the computation of physical observables. Due to the existence of the operator product expansion (OPE), conformal correlation functions can be separated into their dynamical parts, which constitute of the OPE coefficients as well as the conformal dimensions, and their kinematic parts, dubbed the conformal blocks, which are completely fixed by conformal symmetry. Since the conformal bootstrap was revived in 2008, several techniques have been developed to compute the four-point conformal blocks during the last decade. In contrast to the four-point blocks, conformal blocks with more than four points, which are notoriously difficult to compute, have not been studied in great detail, although these higher-point conformal blocks are useful for the implementation of higher-point conformal bootstrap as well as the study of AdS Witten diagrams. In this thesis, by using the embedding space OPE, we obtain expressions for the scalar M-point conformal blocks with scalar exchanges in the comb configuration as well as scalar six-and seven-point conformal blocks with scalar exchanges in the snowflake and extended snowflake configurations. Moreover, we propose a set of Feynman-like rules to directly write down an explicit form for any global conformal block in one and two dimensions. Based on the position space OPE, we prove the Feynman-like rules by construction. Finally, after discussing the symmetry properties of the conformal blocks, we develop a systematical way to write down the bootstrap equations for higher-point correlation functions.
Monin, Benoît. "Higher computability and randomnes". Paris 7, 2014. http://www.theses.fr/2014PA077182.
Testo completoWe mainly deal with higher randomness notions, that is, Delta^1_1-randomnes, Pi^1_1-Martin-Löf randomness, weak-Pi^1_1-randomness and especially Pi^1_1-randomness. We also try to understand the similarities and differences between all those higher randomness notions, but also between the classical randomness notions and the higher ones. One important difference between the notions of higher computability/randomness and their classical counterparts, is of topological nature. Also we have concentrated our efforts on three different concepts for which this topological difference arises : The notion of computation, the notion of relativization of randomness and the notion of approximation. We also emphasize the tight connection between randomness and the genercity notions, as we can consider the latter as a categorical version (in the sense of Baire) of randomness. For this reason we also study higher effective categoricity and we point out the differences and similarities higher categoricity shares with higher randomness
Gorlatova, O. "Higher education in Germany". Thesis, Київський національний університет технологій та дизайну, 2020. https://er.knutd.edu.ua/handle/123456789/16664.
Testo completoDovhopol, H. "Internationalization of higher education". Thesis, Київський національний університет технологій та дизайну, 2020. https://er.knutd.edu.ua/handle/123456789/16677.
Testo completoDovhopol, H. "Trends in higher education". Thesis, Київський національний університет технологій та дизайну, 2021. https://er.knutd.edu.ua/handle/123456789/18525.
Testo completoYuan, Allen Ph D. Massachusetts Institute of Technology. "On the higher Frobenius". Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/126941.
Testo completoCataloged from the official PDF of thesis.
Includes bibliographical references (pages 107-110).
Given a homotopy invariant of a space, one can ask how much of the space can be recovered from that invariant. This question was first addressed in work of Quillen and Sullivan on rational homotopy theory in the 1960's and in work of Dwyer-Hopkins and Mandell on p-adic homotopy theory in the 1990's. In this thesis, we describe a way to unify these ideas and recover a space in its entirety, rather than up to an approximation. The approach is centered around the study of the higher Frobenius map. First defined by Nikolaus and Scholze, the higher Frobenius map generalizes to E[subscript infinity]-ring spectra the classical Frobenius endomorphism for rings in characteristic p. Our main result is that there is an action of the circle group on (a certain subcategory of) p-complete [subscript infinity]-rings whose monodromy is the higher Frobenius. Using this circle action, we give a fully faithful model for a simply connected finite complex X in terms of Frobenius-fixed [subscript infinity]-rings.
by Allen Yuan.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
Kekana, Lizzy Mpho. "Oligomerization of higher olefins". Master's thesis, University of Cape Town, 2010. http://hdl.handle.net/11427/10905.
Testo completoIncludes bibliographical references.
A series of new substituted cyclopentadienyl ligands and their chromium complexes were successfully synthesised and characterised using a wide range of analytical and spectroscopic techniques such as NMR, mass spectrometry, elemental analysis and melting points.The ligands were then tested for the oligomerization of ethylene and 1-hexene. The chromium complexes were tested for the oligomerization of 1-hexene.
Smith, Shannon Tucker. "Megatrends in Higher Education". Thesis, University of North Texas, 2008. https://digital.library.unt.edu/ark:/67531/metadc9028/.
Testo completoKomljenovič, Janja. "Making higher education markets". Thesis, University of Bristol, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702882.
Testo completoSmith, Shannon Tucker Fulton-Calkins Patsy. "Megatrends in higher education". [Denton, Tex.] : University of North Texas, 2008. http://digital.library.unt.edu/permalink/meta-dc-9028.
Testo completoQuinn, Lynn. "Teaching in higher education". Routledge, 2014. http://hdl.handle.net/10962/66557.
Testo completoAs Becker and Denicolo point out in their introduction, traditionally most lecturers in higher education begin teaching with little or no formal training: ‘It is assumed if you were expert in your field you would be able, by some ill-defined means, to teach others’ (p. 1). This book aims to remedy that situation and does exactly what it sets out to do: it provides a useful, step-by-step training guide for teachers in higher education. It provides much needed advice for new academics for ways in which they can successfully combine their teaching and their research roles. It is written in an accessible style, draws on the experiences of people who have taught in higher education for some time, and provides practical advice for teaching in a range of contexts and for dealing with different challenges that may arise.
Chang, Kai-Chin. "Investigation of higher fullerenes". Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2013. http://dx.doi.org/10.18452/16700.
Testo completoTrifluoromethylation of higher fullerene mixtures with CF3I was performed in ampoules at 400 to 420 degree Celsius and 500 to 600 degree Celsius. The obtained product mixtures were separated by multistep HPLC. Subsequent crystal growth and X-ray diffraction measurements allowed for structural characterization of the CF3 derivatives of fullerenes C84, C86 and C88 listed as the following. 1 isomer of C84(4)(CF3)12, C84(11)(CF3)10, C84(11)(CF3)12, C84(11)(CF3)16, C84(16)(CF3)8, C84(16)(CF3)14, C84(18)(CF3)10, C84(18)(CF3)12, C84(22)(CF3)20, C84(23)(CF3)8, C84(22)(CF3)10, C84(22)(CF3)12, C84(22)(CF3)18, C86(17)(CF3)10, C86(17)(CF3)16, C88(33)(CF3)16, C88(33)(CF3)18 and C88(33)(CF3)20. 2 isomers of C84(22)(CF3)12, C84(22)(CF3)14 and C84(23)(CF3)14. 3 isomers of C84(11)(CF3)14. 4 isomers of C84(22)(CF3)16. The molecular structures of isolated isomers were discussed in terms of their addition patterns and relative formation energies. DFT calculations were used to predict stable molecular structures of the CF3 derivatives. Calculated model structures have been compared with the experimental ones. In addition, the reaction pathways from the lower derivatives to higher ones of selected compounds were predicted. The pathways indicate the regioselectivity of additions depending on the fullerene cage isomer. Reaction pathways are presented for four fullerene cages in this work. C84(11)(CF3)10 --> C84(11)(CF3)16 C84(22)(CF3)2 --> C84(22)(CF3)20 C84(23)(CF3)10 --> C84(23)(CF3)18 C86(17)(CF3)10 --> C86(17)(CF3)16