41. Science Math Recreations Specific Numbers Fibonacci Numbers Science Math Recreations specific Numbers Fibonacci Numbers Fibonacci, Biography ofLeonardo Fibonacci A short biography of the mathematician Fibonacci as http://world.ammissione.it/browse_/Science/Math/Recreations/Specific_Numbers/Fib

42. MeL Biography biographies of Women Mathematicians. The Complete List of Popes (withbiographies). Searchable by name or by specific physics fields. http://web.mel.org/viewtopic.jsp?id=336&pathid=1133

43. Math Resource For Everyday Use The bibliography is broken up into sections to help the teacher find specific typesof Math Equals biographies of Women Mathematicians+Related Activities http://www.uwsp.edu/Education/sslick/annobib/math.htm

Math Resources for Everyday Use By Brady Huebner This is an annotated bibliography of math resource for teachers and students. The specific class that I had in mind would be a secondary math class in an urban, but not inner city, setting. Most of the students would be lower to upper middle income of mixed gender and race. Many of the books I have chosen are considered gender specific although that may be stereotypic and not necessarily true. In either case, I have chosen books and article that are attractive to both genders. I am trying to steer away from the old fashioned idea that math is for boys only. Section I: Math and everyday consequence. 200 Percent of Nothing : An Eye-Opening Tour Through the Twists and Turns of Math Abuse and Innumeracy by A. K. Dewdney S. Ross (Editor) Paperback - 192 pages (May 1993) Synopsis Dewdney lists the many ways we are manipulated with fancy mathematical footwork and faulty thinking in print ads, the news, company reports and product labels. He shows how to detect the full range of math abuses and defend against them. Packed with real-world examples, this book is based on Dewdney's articles on math abuse in Scientific American. Illustrations. $20,000. Innumeracy : Mathematical Illiteracy and Its Consequences by John Allen Paulos Paperback - 180 pages Rep edition (January 1990) Book Description Dozens of examples in innumeracy show us how it affects not only personal economics and travel plans, but explains mischosen mates, inappropriate drug-testing, and the allure of psuedo-science.

44. Vacuum History & Technology out the general law for the distribution of energy among the various parts of a systemat a specific temperature He was a mathematician, physicist, and inventor http://www.mcallister.com/vacuum.html

A Short History of Vacuum Terminology and Technology Page 1 Amadeo Avogadro Avogadro's Number Ludwig Eduard Boltzmann Robert Boyle ... Vacuum Technology, Page 2 RCA Corp's. nifty charts. Vapor Pressure of the Elements, #1 Vapor Pressure of the Elements, #2 Vapor Pressure of the Elements, #3 Vapor Pressure of the Elements, #4 ... Vapor Pressure of the Elements, #6 A madeo Avogadro conte di Quaregna e Ceretto was born August 9, 1776, in Turin, Italy and died July 9,1856, also in Turin. He was a physicist who first set forth the hypothesis known as Avogadro's Law, which states that equal volumes of gasses or 'vapours', at the same temperature and pressure contain the same number of molecules. This law explained why gasses chemically combine in simple proportions by volume and led Avogadro to believe that the elements of hydrogen, nitrogen, and oxygen exist as diatomic molecules in nature. A professor of higher physics at the University of Turin for many years, he stated by his hypothesis in 1811, but it was not generally accepted until after 1858, when the Italian chemist Stanislao Cannizzaro constructed a logical system of concepts of modern chemistry. Avogadro's number is the number of molecules in one gram-molecular-weight of any substance. AVOGADRO'S LAW , a statement that under the same conditions of temperature and pressure, equal volumes of different gasses contain an equal number of molecules. This empirical relation, proposed by the Italian physicist Amadeo Avogadro in 1811, can be derived from the kinetic theory of gases under the assumption of a perfect (ideal) gas. The law is approximately valid for real gases at sufficiently low pressures and high temperatures.

45. News specific constants. History and biographies. Mathematicians Mac Tutor Historyof Mathematics archive from the University of St Andrews in Scotland; a very http://numbers.computation.free.fr/Constants/relatedlink.html

Related links Last update: February 7, 2003 General sites on constants Mathematical constants : An astonishing number of essays on mathematical constants, by Steven Finch Plouffe's inverter : Several constants computation records and Simon Plouffe 's famous inverter Earliest uses of symbols for constants : A very interesting site on the origin of symbols for constants by Jeff Miller Mathematische Konstanten : Pages on the most famous constants by Hermut Peter Ellrich (in German Yahoo pages on numbers : Many links on constants Specific constants The number Pi Borwein's site with papers on p David H. Bailey : His home page with some of his articles (on p and other subjects) and talks Richard Brent : Many of his articles and talks on computation and number theory are available online Le monde de Pi : Very complete site on p by Boris Gourevitch (in French Alrededor de Pi : Pages by Ramón Llorens Moreno (in Spanish Archimedes' approximation of Pi : Archimedes' algorithm in details Pi and the fine structure constant : An interesting occurrence of Archimedes' polygons and p in physics by James G. Gilson

46. SU Math Ed: MTD 745 Syllabus Your biography should include specific details of their contributions Personal interviewdata with a contemporary women mathematician may be included. http://soeweb.syr.edu/mathed/745.html

MTD 745: Mathematics and Gender Fall, 2001 Instructor: Helen M. Doerr 202 Carnegie Hall 443-1485 (office) or 696-2497 (home) email: hmdoerr@syr.edu Officehours: Weds. 3:00 - 4:00 or byappointment or anytime by email or phone Time: Thurs.,4:00 - 6:45 Place: Course Outline This course will examine the extensive research literature on the role and participation of women in mathematics at all levels. An approximately equal amount of class time will be given over to each of these topics: gender differences as deficiencies or hurdles: spatial visualization, mathematics anxiety, mathematics achievement, attribution theory; social influences on mathematics participation: mathematics as a male domain, classrooms, curriculum, and teachers; gender differences as under-recognized strengths: cooperative learning, connections and relations, integrated knowing, hearing the voices of women; a radical feminist perspective and critique of research in mathematics education and gender. The primary objectives of this course are (1) to familiarize you with the extensive research literature on mathematics and gender, (2) to critically analyze particular topics within that body of literature, and (3) to help you develop your own perspectives on gender equity in the teaching and learning of mathematics. Assignments Complete all readings and be prepared to discuss them in class.

47. Science - Math - Recreations - Specific Numbers - Fibonacci Top Science Math Recreations specific Numbers Fibonacci Numbers Biography ofLeonardo Fibonacci A short biography of the mathematician Fibonacci as http://www.sedirectory.net/Science/Math/Recreations/Specific_Numbers/Fibonacci_N

Web Hosting Dir Web Design Dir Search Engine Dir Hardware Info ... Search Engine Directory Search: Top Science Math Recreations ... Amof:Info on Fibonacci Sequences - Information on Fibonacci Sequences. Animation of Binet's formula for Reals - Interesting Applets showing Binet's formula for Fibonacci numbers extended for Reals. Biography of Leonardo Fibonacci - A short biography of the mathematician Fibonacci as part of a longer Text called "The Art of Algebra". Fibonacci and Lucas Factorizations - Tables of known factorizations of the first 10,000 Fibonacci and Lucas numbers. Fibonacci and Lucas Numbers - Electrical equivalence of discrete lumped cascaded T sections with the infinitesimal transmission line of distributed elements and with the Fibonacci and Lucas Numbers of 2n. Fibonacci Facts - Facts about the Fibonacci Sequence. Fibonacci Numbers - A directory of material related to the Fibonacci numbers. Fibonacci Numbers - Explains Fibonacci Numbers and provides a program to calculate the numbers. Fibonacci Numbers and the Golden Section - Fibonacci numbers and the golden section in nature, art, geometry, architecture, music, geometry and even for calculating pi! Puzzles and investigations. Fibonacci Numbers Formulae - Presented by Rajesh Ram.

48. Ostrowski on his ninetieth birthday and, in addition to looking at specific examples of thekindest memories as a brilliant personality, a powerful mathematician, and a http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Ostrowski.html

Alexander Markowich Ostrowski Born: 25 Sept 1893 in Kiev, Ukraine Died: 20 Nov 1986 in Montagnola, Lugano, Switzerland Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Alexander Ostrowski 's father Mark Ostrowski was a merchant in Kiev. Alexander's mother was Vera Rashevskaya. He attended primary school in Kiev, then spent a year at a private school before entering the Kiev School of Commerce. Faddeev in [6] (see also [7]) recalled what B N Delone told him concerning Ostrowski meeting D A Grave , then the head of the mathematics school at Kiev. In 1908 Ostrowski, then a fifteen year old schoolboy:- ... a pupil at the school of Commerce who had shown considerable interest in mathematics, came to Grave on the recommendation of his mathematics teacher. After several talks, Grave was convinced of his remarkable abilities and accepted him in his seminar as a full and equal participant. For three years Ostrowski participated in Grave 's seminar while completing his course at the School of Commerce. In 1911 he was awarded the title of Candidate of Commerce and he was awarded the Gold Medal. Ostrowski had not been a mere observer in

49. Mathematician/Scientist Links Mathematicians/Scientists. possible candidates for research for the second quarterinterdisciplinary project for Team 81. Select one from the specific list or http://www.rialto.k12.ca.us/frisbie/mathematicians.html

Mathematicians/Scientists The names below are possible candidates for research for the second quarter interdisciplinary project for Team 8-1. Select one from the specific list or look at the general list and find one of your own. Read about the person and note: full name date of birth place of birth where educated contribution(s) to mathematics and/or science date of death how studying this person has benefited your life Specific List Agnesi, Maria al'Khwarizmi, Abu Ja'far Muhammad ibn Musa Banneker, Benjamin Banneker, Benjamin again Bolyai, Janos Carver, George Washington Carver, George Washington again Cavalieri, Bonaventura Drew, Charles Richard du Chatelet, Gabrielle Emilie Eratosthenes ... Hypatia again Just, Ernest Just, Ernest again Khayyam, Omar Kovalevsky, Sonya Kowa, Seki Latimer, Lewis Howard ... Lovelace, Ada Byron again Matzeliger, Jan Ernst Morgan, Garrett Noether, Emmy Nunez, Pedro ... Young, Grace Chisholm General List 4000 Years of Women in Science - Time Ordered List African Americans in the Sciences Alphabetical Index of Women Mathematicians Biographies of African-Americans from Maryland ... WWVVL History of Science, Technology and Medicine Go to Frisbie Home Page RUSD Home Page Please mail comments and suggestions to Suzanne Alejandre last updated on 8 December, 1996

50. Book Report - Coyote Team Project - FMS A student handout providing specific requirements for both fiction, nonfiction, andauto or biography), requirements for mathematician/Scientist Treasure Hunt. http://www.rialto.k12.ca.us/frisbie/coyote/interdisciplinary1.html

Survey Project and Biographical Book Reports Interdisciplinary Project Coyote Home Page (Team 7-2) Interdisciplinary Project Index Explanation of Project Students provided a word processed book report and research bibliography, and created an illustrated book cover, after reading a biography or autobiography on a famous scientist or mathematician. Students used the links provided on the Internet pages to identify famous scientists/mathematicians prior to selecting a biography subject. Emphasis was provided on the contributions of women and individuals from other cultures. Students participated in the conduct of a survey gathering, collating, and publishing relevant survey data. The students took the survey themselves. Data was gathered from two other middle schools, one in Illinois and the other in South Carolina. Frisbie students compared the data and made bar graphs to display on the Internet. Conversations between the students from the three schools are also on the Internet page. Related Web Pages Book Report Covers and Summaries Examples of completed summaries of the more detailed book reports and colorful book report covers.

51. Pierre De Fermat (1601 - 1665) that from the equation, or, as he calls it, the ``specific property, of This pageis included in a collection of mathematical biographies taken from A Short http://www.maths.tcd.ie/pub/HistMath/People/Fermat/RouseBall/RB_Fermat.html

Pierre de Fermat (1601 - 1665) From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. While Descartes was laying the foundations of analytical geometry, the same subject was occupying the attention of another and not less distinguished Frenchman. This was Fermat. Pierre de Fermat , who was born near Montauban in 1601, and died at Castres on January 12, 1665, was the son of a leather-merchant; he was educated at home; in 1631 he obtained the post of councillor for the local parliament at Toulouse, and he discharged the duties of the office with scrupulous accuracy and fidelity. There, devoting most of his leisure to mathematics, he spent the remainder of his life - a life which, but for a somewhat acrimonious dispute with Descartes on the validity of certain analysis used by the latter, was unruffled by any event which calls for special notice. The dispute was chiefly due to the obscurity of Descartes, but the tact and courtesy of Fermat brought it to a friendly conclusion. Fermat was a good scholar, and amused himself by conjecturally restoring the work of Apollonius on plane loci. Except a few isolated papers, Fermat published nothing in his lifetime, and gave no systematic exposition of his methods. Some of the most striking of his results were found after his death on loose sheets of paper or written in the margins of works which he had read and annotated, and are unaccompanied by any proof. It is thus somewhat difficult to estimate the dates and originality of his work. He was constitutionally modest and retiring, and does not seem to have intended his papers to be published. It is probable that he revised his notes as occasion required, and that his published works represent the final form of his researches, and therefore cannot be dated much earlier than 1660. I shall consider separately (i) his investigations in the theory of numbers; (ii) his use in geometry of analysis and of infinitesimals; and (iii) his method for treating questions of probability.

52. Math Links Math History Links Links to biographies of mathematicians, and links tothe mathematics of specific historical periods, cultures, or places. http://www.ramona.k12.ca.us/rhs/math/waters/MATHLINK.HTM

The Oracle MATH LINKS! These are some sites having content useful to mathematics-related projects. Some of these sites are cross-linked with each other; I include some of these for ease of access. Some of the sites linked here have many useful links of their own. choose your category of link Data Links General Economic Health Environmental Energy Science Mathematics Sports Education Student Support Sites Teacher Support Sites On-Line Calculators Puzzles and Problem-Solving ... Internet Resources web tutorials web software web graphics Sample Internet Projects Special Search Sites Return to the Portico Data Links General Fedstats list of links to statistical data from more than 70 agencies in the US Federal Government, foreign countries, and international organizations. Data Surfing on the WWW Links to datasets in various categories, from Robin Lock Economic Economic Data Links links to various economic data sets, referenced by region and data source National Archives and Records web site of the national archives. Lists information available through the National Archives Bureau of Labor Statistics Economic, especially labor and unemployment data

53. LSU Libraries--Chemistry Library-- Science Biography: Guide To Reference Sources 1974 to date. International Mathematical Union. Use ONLINE CATALOG tofind fulllength biographies and other specific sources. http://www.lib.lsu.edu/sci/chem/guides/srs114.html

Select a Link About Hours Resources Indexes/Databases Ejournals Collection Development Events/Displays Departmental Links Subject Guide for SCIENCE BIOGRAPHY Guide to Reference Resources Directories General Directories - General General Sources - Current and Retrospective Biographies by Discipline Bibliographies ... ONLINE CATALOG American Men and Women of Science. 19th ed.(1995/96) (New York, NY: Bowker). Q 141 A47 19th ed.(1995/96) Middleton Library Reference ( Non-Circulating Q 141 A47 14th ed.(1979) Chemistry Library Reference ( Non-Circulating This is the primary Who's Who of science but is limited to scientists who were alive and working at the time of publication. Included: basic biography, positions, awards, research specialties, and addresses. Formerly published as American Men of Science. Current Contents Address Directory Science and Technology. Institute for Scientific Information. (Philadelphia, PA: Institute for Scientific Information) Q 145 C86 1985 ed. Chemistry Library Reference ( Non-Circulating Directory information containing current address. Who's Who in Science in Europe: A Biographical Guide in Science, Technology, Agriculture, and Medicine.

54. The MacTutor History Of Mathematics biographies of Women Mathematicians. http//www.agnesscott.edu/lriddle/women/women.htm.Mathematics in specific Culture, Periods, or Places. http://www.ejhs.rbbcsc.k12.in.us/teacher_links/mrsamartin.html

Mrs. Martin's Math and Science Links Click on one of the following subject headings. History of Math Super Scientists T he MacTutor History of Mathematics http://www-groups.dcs.st-andrews.ac.uk/~history/ The History of Mathematics—Trinity College http://www.maths.tcd.ie/pub/HistMath/ The History of Mathematics—Clark University http://aleph0.clarku.edu/~djoyce/mathhist/mathhist.html The History of Mathematics—Simon Fraser University http://www.math.sfu.ca/histmath/ Math Archives—History of Mathematics http://archives.math.utk.edu/topics/history.html BW History of Mathematics Websites http://www2.bw.edu/~dcalvis/history.html DMOZ Science/Mathematics History http://dmoz.org/Science/Math/History/ Mathematical Journey Through Time http://nunic.nu.edu/~frosamon/history/math.html Mathematicians of the 17 th and 18 th Centuries http://www.maths.tcd.ie/pub/HistMath/People/RBallHist.html Famous Mathematicians—UCV http://euler.ciens.ucv.ve/English/mathematics/ Biographies of Women Mathematicians http://www.agnesscott.edu/lriddle/women/women.htm Mathematics in Specific Culture, Periods, or Places http://www.maths.tcd.ie/pub/HistMath/Links/Cultures.html

55. Yolo County Library sites with information on cuisine and recipes for general Asian foods as well asones for specific countries such biographies of Mathematicians http//www http://www.yolocounty.org/org/library/Kids_Homework_Help.htm

Yolo County Library Homework Help Biography California History Countries Endangered and Threatened Species ... United States History and Government / General Homework Help Ask Jeeves for Kids http://www.ajkids.com B.J. Pinckbeck's Homework Help http://school.discovery.com/homeworkhelp/bjpinchbeck/ This gateway web page has links to sites on music and art and health and P.E. If you can't find the answer you can email. Be sure to try a Brain Booster! Carnegie Library of Pittsburgh Subject Guide to homework help http://www.carnegielibrary.org/subject/homework : This homework help site is organized by broad general subjects. A few of the sites are geared to students in the Pittsburgh area but most are helpful to all students. Fact Monster : Infoplease Kid’s Almanac: http://www.factmonster.com/ : Access to an atlas, almanac, dictionary, a homework center and a lot more. Homework Help http://www.thwww.com/mrwizard/homework.htm : Geared to kids in grades 6-12 with links to sites covering art, sciences, math and history. KidsClick!

56. Science, Math, Recreations, Specific Numbers, Fibonacci Numbers Browsing Science, Math, Recreations, specific Numbers, Fibonacci Numbers Category. Ashort biography of the mathematician Fibonacci as part of a longer Text http://www.klevze.si/browse/Science/Math/Recreations/Specific_Numbers/Fibonacci_

Top Science Math Recreations ... Fibonacci Numbers Search: Web Directory: Science, Math, Recreations, Specific Numbers, Fibonacci Numbers Web Directory Daily News PHP Manuals mySQL Manuals ... Svenska Browsing Science, Math, Recreations, Specific Numbers, Fibonacci Numbers Category Amof:Info on Fibonacci Sequences Information on Fibonacci Sequences.. Animation of Binet's formula for Reals Interesting Applets showing Binet's formula for Fibonacci numbers extended for Reals.. Biography of Leonardo Fibonacci A short biography of the mathematician Fibonacci as part of a longer Text called "The Art of Algebra".. Fibonacci and Lucas Factorizations Tables of known factorizations of the first 10,000 Fibonacci and Lucas numbers.. Fibonacci and Lucas Numbers Electrical equivalence of discrete lumped cascaded T sections with the infinitesimal transmission line of distributed elements and with the Fibonacci and Lucas Numbers of 2n.. Fibonacci Facts Facts about the Fibonacci Sequence.. Fibonacci Numbers A directory of material related to the Fibonacci numbers.. Fibonacci Numbers Explains Fibonacci Numbers and provides a program to calculate the numbers..

57. Internet Resources | Mathematics | Learning Centre | Student Intranet | Sheffiel are examples of sites for specific software and tools topic and to find biographiesof mathematicians. mathematician trading cards this site is dedicated to http://students.shu.ac.uk/lc/se/sci/mathsinternet.html

Search for in Learning Centre Student Intranet All SHU sites Help on searching Home Learning Support Student Services ... Contact us Mathematics : Internet resources Software and Tools History of mathematics Mathematicians Statistics ... Further information Related Links Subject guides: Mathematics School of Science and Mathematics Mathematics Software and Tools The following sites provide information about mathematics software and software suppliers: Mathematical Software Index - an alphabetical list, maintained by Florida State University. GAMS guide to available mathematical software - an extensive site. Mathematics Courseware Database - maintained by the LTSN Maths, Stats and OR Network The following are examples of sites for specific software and tools: Mathwise - a computer based learning package produced by the UK Mathematics Courseware Consortium Mathcad - Mathsoft's home page for this product who also provide Math in action for more math-related information Derive - the Soft Warehouse page for their mathematical assistant TI Graphing Calculators - a guide to Texas Instrument's products including the TI-92 Visual Basic - Microsoft's page Visual Basic - an example of a useful page not provided by the manufacturer

58. Twentieth Century Mathematicians biographies of Mathematicians http//www.maths.tcd.ie Quotes of Mathematicians http//www.brainyquote.com Mathematicsin specific Cultures, Periods or Places http http://clerccenter.gallaudet.edu/TecEds/trainees/Carolyn.Perry/Webquest/

Twentieth Century Mathematicians WebQuest by Carolyn Perry Carolyn.Perry@Gallaudet.edu Activity developed by Frances Brown and Carolyn Perry With thanks and appreciation to Arsena Strange http://clerccenter.gallaudet.edu/AcademicTeams/Team12/index.html Introduction Task Process ... Conclusion Introduction Click here to see the introduction in ASL. Mathematics developed through evolution of ideas, observations, and experimentation by men and women from all occupations and of varying nationalities. These people recognized a need or were curious about a concept. Frequently they discovered that other people in different parts of the world were thinking about and investigating the same theories. Sometimes they pooled their efforts and worked together; sharing notes and having eloquent discussions on these topics. Other times, they worked separately to discover that their ideas and approaches to a problem were the same. On many occasions, each mathematician derived the same conclusion from a completely different approach. Math is not magic. It requires hard work and p

59. Scientific Biography, UM Libraries and selected works by and about each mathematician. reader to 130 works for furtherspecific information on Database UM only Contains biographies of thousands http://www.lib.umd.edu/MCK/GUIDES/biogsci.html

Guides to Info. Resources Biographical Information BIOGRAPHICAL INFORMATION ON SCIENTISTS Scope: The following sources are useful for finding biographical information on scientists. For more information email the subject specialist at am245@umail.umd.edu or call (301)405-9285. Table of Contents Books, Encyclopedias and Internet Resources Women Scientists African American Scientists Locating References Using the Catalog Books, Encyclopedias, and Internet Resources UM only Because of licensing agreements, most of these databases can be used only by current faculty, staff, and students of the University of Maryland, College Park. These users can access them through Research Port AccessScience Biographies UM only These biographical profiles can be browsed by name, field, Nobel prizes and other medals. American Men and Women of Science 21st ed. New Providence, NJ: Bowker, 2003. LOCATION(S): MCKREF, EPSL REF, CHEM REF (19th edition) CALL NUMBER: Q141.A471 Biographical directory of 129, 769 active American scientists and engineers who have made significant contributions in their fields. Entries include personal data, education, current position, professional experience, memberships, research statement and mailing . Fax numbers and E-mail addresses are included when provided. Volume 8 organizes biographees by field of activity. Elliot, Clark A.

60. Resources Gender equity is the specific topic of Hypatia, a renowned Alexandrian mathematicianand philosopher These biographies and bibliographies illuminate the work http://www.uwm.edu/People/kal/resources.html

GENDER EQUITY RESOURCES *** Teacher Resources Boland, Pat, ed. Gender-Fair Math . Newton, MA: WEEA Publishing Center (800-793-0609), 1995. This booklet is intended to help administrators, teachers and families develop ways to reduce gender-role stereotyping and encourage girls in grades K-12 mathematics. Brusselmans-Dehairs, Christine, and Georges F. Henry, guest eds. International Journal of Educational Research 21 (May 1994) [publisher: Elsevier Science, Tarrytown, NY] This theme issue - "Gender and Mathematics" - presents research concerning gender differences in mathematics abilities, achievement, and learning-related factors. Burton, Leone, ed. Gender and Mathematics: An International Perspective. London: Cassell, 1990. Chapters by various authors present international research and perspectives on topics under four headings: Gender and Classroom Practices, Gender and the Curriculum, Gender and Achievement, and Women's Presence. Campbell, Patricia B. Encouraging Girls in Math and Science . Newton, MA: WEEA Publishing Center (800-225-3088), 1992.

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