Life Before Model Systems: General Zoology at August Weismann's Institute 1


 Marjorie Sanders
 2 years ago
 Views:
Transcription
1 AMER. ZOOL., 7: (1997) Life Before Model Systems: Geeral Zoology at August Weisma's Istitute 1 FREDERICK B. CHURCHILL Departmet of the History ad Philosophy of Sciece, Idiaa Uiversity, Bloomigto, Idiaa 474 SYNOPSIS. With the curret iterest i ad criticism of Model Systems Research i mid, I review some of the details of a research program at the tur of the cetury. I preset data about career trajectories of the degree recipiets i August Weisma's Istitute of Zoology, i Freiburg i/br., Germay. I eumerate the orgaisms they use i their research ad provide some discussio about the level of aalysis performed by certai studets boud for academic careers. I coclude that betwee 188 ad 1912 diversity prevailed i career objectives, research projects, orgaisms ivestigated ad levels of aalysis. This was the diversity of a Geeral Zoology suited to Weisma's primary iterests i evolutio ad the cotemporary expectatios of academic zoology. This Geeral Zoology cotrasts with the orgaism specific research prevalet at the same istitute directed by Has Spema betwee 1918 ad 191. I closig I propose a sequece of historical stages which chaged the Geeral Zoology at the begiig of the curret cetury ito Model Systems Research at the ed. Durig the past cetury biology has made eormous strides by idepth studies of a few orgaisms. I popular imagiatio the white mouse, the fruit fly, the guiea pig, field cor ad ow the zebrafish have bee parters ad martyrs to our advaces. More sophisticated i their perspective of evets, professioal biologists also eumerate Neurospora, E. coli, Xeopus, Arabadopsis ad scores of other orgaisms, which serve as research subjects for the workig out of fuctioal, geetic ad developmetal problems. The degree to which biologists ca geeralize their research results beyod the exemplary species plucked from ature's multitude has always bee a cotroversial matter, but i this age of hightech biology ad high cash commitmets to medical research it is icreasigly temptig to cofer o exemplars of give fuctios the status of uiversal models. The claim beig made through such a tactic is a cogitive oe, that is, that a chose species, or a domesticated, stadardized subpopulatio of that species, 1 From the Symposium Forces i Developmetal Biology Research: The ad Now preseted at the Aual Meetig of the Society for Comparative ad Itegrative Biology, 26 December 199, at Washigto, D.C. may serve as a microcosm of a importat segmet of the orgaic macrocosm. The successful coferral of model system status, however, has ievitable repercussios o both the traiig ad research sides of a biology program. Both the cogitive ad istitutioal roles of what is ow referred to as model systems biology, form the focus of a umber of recet discussios. Microbiologist Howard Gest has questioed the "Rosetta Stoe" metality that has drive may biologists to espouse model systems (Gest, 199). He remids us of ad edorses what Has Krebs oce called the "[August] Krogh priciple," amed after the famous Daish physiologist, who wrote that "For a large umber of problems there will be some aimal of choice or a few such aimals o which it ca be most coveietly studied" (Krebs, 197; Krogh, 1929, p. 247). Krogh thereby implied that coveiece, i a broad sese, ad specific problem solvig, ot a presumptive geeral model, had ad should guide the choice of a orgaism i research (Gest, 199). Developmetal biologist Jessica Bolker has provided a thoughtful aalysis of some of the shortcomigs of a model systems approach: the uavoidable biases i the orgaism selec 26
2 GENERAL ZOOLOGY 261 tio process, the cofusio of experimetal coveiece for uiversality, ad a frequet disregard of phylogeetic reality are amog the dagers she discusses (Bolker, 199). Historia Larry Holmes, who examied Krogh's origial ivocatio withi a historical sketch of the use of the frog as a commo research orgaism, put the questio most succictly whe he observed that "Throughout the history of biological ivestigatio, however, the questio of how far oe ca exted coclusios draw from particular orgaisms to other orgaisms (ofte most crucially to humas) has remaied problematic" (Holmes, 199, p. 1; see also Buria, 199). My paper represets the flip side of these discussios. I propose to examie a zoological research program at the ed of the ieteeth cetury, i which there was o cosideratio of model systems, i part because that claim would have bee atithetical to the very essece of the program. I do ot wish to imply that the zoology of the twetyfirst cetury should emulate the past, but a historical excursio ca sometimes provide a les through which we ca more critically examie a cotemporary issue. First, I should say some geeral words about my iterests. For a umber of years the late Professor Helmut Risler ad I have bee examiig i some detail the zoological istitute i Freiburg, which betwee 187 ad 1912 was directed by August Weisma. By readig letters ad collectig promotio Gutachte, we have assembled a good picture of this istitutio where research claims were beig pursued, lives shaped, aspiratios filled or i some cases, ot filled. Here I propose to examie whether or ot research at that istitute represeted a uified program, ad with these cosideratios Weisma's ow research trajectory is relevat for but should ot be equated with the istitute. After all, there were other Dozete, ad a umber of assistat professors who ispired studets, developed techiques, ad helped frame ad aswer scietific questios. Noetheless, Weisma set the itellectual toe ad, as oe of the most distiguished evolutioary biologists i turofthecetury Germay, he determied the ageda for the istitute as a whole. The zoology pursued was Weisma's zoology ad may of the idividual research projects were suggested by him. FREIBURG ZOOLOGICAL INSTITUTE Weisma took charge of the "zoological istitute" ad its collectios i At that time, it was affiliated with the medical faculty ad was little more tha a istitute i ame. It provided the medical faculty with courses i comparative aatomy ad embryology, i parasitology ad laboratory traiig i zoology (zootomisches Practicum). I 187 the Lehrstuhl for zoology ad the istitute were trasferred to the Philosophical Faculty, ad oly the did Weisma begi holdig his famous lecture course o the theory of evolutio, which evetuated i his Vortrdge der Descedeztheorie of 192 (Weisma, 192; Nauk, 194, 196). For te years after the trasfer to the Philosophical Faculty, Weisma's physical setup chaged little; that is, he ad his studets worked i two cramped rooms o the fourth floor of the "Old Uiversity." Oly after the Uiversity of Muich attempted to hire him away i 1884, could he fially extract from the cultural miistry a ew twostory buildig. This opeed its doors two years later whe Weisma was at the height of his creative powers. Three years later the state fiished the eighborig siglestoried buildig to house the zoological collectios, ad i 197 it completed a 24 seat lecture hall, which joied the two older buildigs. By the time of Weisma's iaugural lecture of the witer semester of 197/198, studet demad required the uiversity istall a additioal 1 seats (Kohler, 197). Durig Weisma's fortyfive year teure as director of the zoological istitute, its fuctio had chaged from providig pedagogical services for the medical school to a zoological research istitute first i the Philosophical Faculty, ad later i the Faculty of Natural Scieces ad Mathematics. Similar growth patters occurred with other zoological istitutes i Wilhelmie Germay, most of which were liberatig themselves from the straglehold of huma aatomy (Nyhart, 199). The patter i Frei
3 262 FREDERICK B. CHURCHILL TABLE 1. Frequecy of degrees grated to core studets i five year icremets, the aual average of all degrees durig those icremets, ad the percetage chage. Five year icremets Total: Number of degrees Average of % chage from Ph.D. & Hab both per year precedig period * * Six of the sixtyoe core studets received their doctorates ad habilitated at the Freiburg Istitute, brigig the total umber of degrees to sixtyseve. burg was particularly dramatic, for it occurred with a expasio ad elevatio i prestige of the uiversity itself, from a margial to oe of the most promiet secod tier uiversities i the Germa empire. By the first decade of the twetieth cetury, the Uiversity i Freiburg had achieved a par with the Uiversity at Heidelberg, the other Uiversity i the State of Bade (Riese, 1977). This overall patter idicates the degree to which zoological istitutes i Germay i geeral ad Freiburg i particular were situatig themselves ot oly to produce kowledge ad service the zoological iterests of the uiversity, but also to trai Doctorate ad Dozete. It is to these latter I wish to tur to preset certai demographic profiles ad to suggest how these might speak to the curret iterest i model systems. Two PROFILES OF CORE STUDENTS I our survey of uiversity documets ad dissertatios betwee 188 ad 1912, we have bee able to establish a core of 61 Doctorate ad Dozete i zoology, who collectively provide a group that I will call the "core degree studets" at the istitute. The followig two tables preset useful demographic profiles of these ad other studets at Weisma's istitute. Table 1 idicates the frequece of degrees grated to core studets, chroologically ordered. The geeral tred ad the short term decrease i core studets i TABLE 2. Variety of career choices of all degree recipiets, icludig core studets at the Zoological Istitute ad Ph.D. recipiets from the Aatomy Istitute. % of total Career choices Number of graduates umber of career choices Uiversity zool/aat Uiversity other 7 9. Explorer aturalist 7 9. Museum employmet Professioal zoologist Secodary teacher Died i WWI 1 1. Ukow Total of career choices 7* 1. * Sice a few of the studets had multiple careers, there are more total career choices tha degree recipiets parallels the erollmet curve i the philosophical faculty ad at most Germa uiversities. Durig the period of dramatic rise betwee 19 ad 199 there was a icrease i overall erollmet at Freiburg of 27.6% (Riese, 1977). Tracig the postgraduate careers of may of the PhD studets is a difficult ad time cosumig udertakig (Table 2). Sice there is o systematic way of idetifyig either secodary school teachers or early deaths, particularly i World War I, this might explai why so may former studets (28%) have disappeared from sight. This group of missig studets, so to speak, is ulikely to iclude may uiversity or techical high school (Techische Hochschule) academics. Of those studets whose career path ca be positively idetified, a surprisig umber of doctoral studets (22.7%) pursued academic careers, either by habilitatig i zoology i Freiburg, by movig to aother zoology or aatomical research istitute i Germay i order to habilitate, or by eterig academic systems outside of Germay. A smaller umber (9.%) etered other academic fields, such as geology or physics. The third largest group (14.7%) cosisted of oacademic, professioal zoologists. I iclude i this group idividuals who wrote a occasioal zoological paper, but who did ot seem to have a academic affiliatio with a traditioal uiversity or techical uiversity. Also icluded i this group are
4 GENERAL ZOOLOGY 26 former studets who became ivolved i govermetal or idustrial research. Museums offered a importat source of employmet (12%) for studets with the Ph.D. i Zoology. Frequetly overlappig with museum work as a professio was a career trajectory that bega with field collectig ad exploratio overseas, ofte i the ew Germa coloies (9.%). RESEARCH ORGANISMS AT THE INSTITUTE It is my belief that these studet profiles (chroological frequecy ad career trajectories) provide some perspective o, though ot ecessarily a explaatio for, the varied patter of research projects pursued at the isitute. To begi with, the array of orgaisms that studets ivestigated strikes the late twetieth cetury eye as astoudig. Three classes of vertebrates, oe class of echioderms, arthropods of all descriptios with over differet species ivolved, ad a scatterig of polychaetes, ematodes, flatworms, coeleterates, ad spoges all came through the doors; may were kept for study over periods of moths, maybe for a few years, ad sometimes through may geeratios util the studet completed his or her dissertatio. This, of course, meat aquaria, cages, cold chests, ad rearig pes. It ultimately required coveietly accessible collectio storage. From this it seems selfevidet that Weisma ad his studets operated withi the cotext of a geeral zoology cocered with morphological ad phylogeetic questios that depeded o crosstype comparisos. Weisma's ow research ad writigs almost always carried the same thrust. Comparative aatomy, embryology, ad cytology were the essece of most research projects. If we look more closely at the array of orgaisms studied, we ote that eight dissertatios dealt with vertebrates, but oly two of these were doe by core zoology studets. The other six dissertatios o vertebrates were writte by foreig studets workig i the aatomy istitute directed by Weisma's brotherilaw, Robert Wiedersheim. Istead of receivig M.D.S however, they chose to collect Ph.D.s o the basis of Weisma's recommedatio to the Philosophical Faculty. This cotrast implies a divisio of labor i Freiburg betwee the two istitutes: vertebrates i aatomy through the medical faculty ad ivertebrates i zoology through the philosophical faculty. Aother observatio o the array of ivertebrates ivestigated at the istitute is worth reportig. Fortyoe of the dissertatios ad three of the seve Habilitatiosschrifte cocered questios havig to do with isects or crustaceas geerally, but ot always, i a comparative mode. This makes sese for a umber of reasos. Weisma carried out extesive comparative studies ad experimets o butterflies; his reowed butterfly collectio ad his temperature iduced variatio experimets o lepidopteras were the direct results of questios he had about seasoal ad sexual dimorphism, rage of variatios, ad mimicry. Although these questios had strog developmetal ad hereditary implicatios, they were ultimately desiged with Weisma's ow evolutioary argumets i mid. Weisma had also extesively studied crustaceas, particularly the cladoceras ad copepods of the Bodesee, ad his ad Chiyomatsu Ischikawa's microscopic studies of reductio divisio were doe largely o this group of arthropods. For the studets i the istitute the techiques of preservatio ad study of isects ad the collectios were largely i place for their ow research problems. Despite this cocetratio o isects ad crustaceas o oe would have spoke of ay group, let aloe a sigle species, as a model system. Of the 7 differet research projects oly 2 were focused o sigle species. Weisma was costatly askig, ad forcig his studets to ask, about the crosstaxo geerality of ay pheomeo he or they might be ivestigatig. Oe may poit to oe exceptio to this patter ad that is the work doe by Wilhelm Paulcke ad Alexader Petrukewitsch o the domesticated hoey bee, Apis mellifer (Paulcke, 19; Petrukewitsch, 191, 192). The work was strogly ecouraged by Weisma who over a te year period was led ito a exteded reexamiatio of the productio of droes by the
5 264 FREDERICK B. CHURCHILL Darmstadt teacher, publisher ad beekeeper Ferdiad Dickel (Churchill, 1974). The latter had claimed to have repudiated the log accepted belief, first put forward by Johaes Dzierzo i the 184s, that droes were the products of partheogeesis. The istitute's studies supported Dzierzo's claim. If Dickel had bee correct, ad iitially Weisma hoped he was, the studies would have let support to a developmetal rather tha a particulate explaatio of sex determiatio. (I Weismaia termiology this would have idicated the germial selectio of all sex "Determiats" rather tha the actio of a sigle "Determiat.") Whatever the outcome, we fid i this affair more tha oe studet pursuig a well delimited problem with the same orgaism. Much came out of this focused research. Ivestigators from other istitutes cotributed briefly to the scietific exchage; the Dzierzo theory was recofirmed usig the most uptodate histological techiques; Petrukewitsch improved a fixative that became a stadard reaget i microscopy, ad Weisma was deied a possible demostratio of a developmetal determiatio of sex. It was a short lived episode, ad oe ca hardly speak of the hoey bee becomig a model system. No oe systematically kept bees at the zoological istitute. I the terms of Krogh's priciple, hoey bees were the coveiet orgaism for the study of the productio of droes. Today we might cosider the species as a example of sex determiatio i social hymeopteras, but this is a modest claim compared with those associated with model systems. DIVERSITY OF RESEARCH QUESTIONS Overall, the dissertatios ad Habilitatiosschrifte recommeded by Weisma posed a wide diversity of research questios. For a cetury preoccupied with embryological research it is ot surprisig to fid that over fortyfour or 61% of the sevetythree separate research projects, i.e., sixtyseve projects by core studets ad six by studets i aatomy, had a strog developmetal focus. Despite this commoality their idividual research questios raged from descriptive studies of developmet to studies about reproductio, sexual determiatio, life cycles, ad regeeratio. Fiftee of these developmetal ivestigatios examied i oe way or aother the productio of gametes, a subject that was of great iterest to Weisma. Oly eight of the developmetal projects assumed a recapitulatio of specific traits from acestral forms, ad oe that I have yet read ivoked the biogeetic law. A relatioship betwee otogey ad phylogey was always assumed, but Haeckel's fudametal priciple did ot ispire, let aloe shape, the research program i Freiburg. Fiftee (<21%) of the projects were aatomical i focus, but as with the developmetal projects there was o sigle theme. Seve of them were cofied to aatomical studies of sigle orgaisms (four of these beig doe at the aatomical istitute); five of the fiftee had comparative aatomical themes ad three were what I ca oly describe as fuctioal aatomy, i.e., makig coclusios about fuctio by examiig structure ad performig simple ad limited experimets. Five other projects (<7%) were focused o evolutio by addressig questios about biogeographical distributio, covergece, ad phylogeetic lieages of adult structures. Four more (<6%) dealt primarily with taxoomic questios; oe (<2%) examied the comparative degeeratio of structures i related species; oe (<2%) ca oly be described as a experimetal study i heredity, ad the last two projects (<%), both dissertatios, were based o literature evaluatios i what I might describe as studies i philosophy of biology. It must be emphasized that may of the dissertatios icorporated more tha oe of these focuses, ad it was ot ucommo for a dissertatio to examie developmet, adult aatomy, fuctios of sigle structures ad phylogeetic relatioships of several species at the same time. Geerally, however, it was ot difficult to idetify a primary focus. LEVELS OF ANALYSIS Aother oteworthy feature of these research projects is the rage i the level of aalysis. It must be emphasized, however, that may of these moographs switch from oe level to aother, but agai it is geer
6 GENERAL ZOOLOGY 26 TABLE. Frequecy of various levels of aalysis of sixty zoology dissertatios ad Habilitatiosschrifte. Level Literature aalysis Orgaism Gross aatomical Tissues ad germ layers Cellular Nucleus ad chromosomes Total: Number % of total ally ot difficult to ascertai a priciple focus. Of sixty moographs that I have bee able to examie with this questio i mid, I fid the distributio show i Table. This rage of levels agai suggests a diversity i research projects, which implies i tur a diversity of the istrumets ad techiques routiely used. It might be valuable to examie how this diversity chaged over time. It might also be iterestig to correlate the levels of aalysis with studets who took differet professioal tracks, for this might help us determie how dissertatio topics were assiged or sactioed ad the extet to which Weisma might have bee ivolved i career choices. Ufortuately, I caot address these latter two questios, but here are some prelimiary observatios arrived at by examiig the thirtee Germa academic boud zoologists (Table 4). Nothig i Table 4 will be surprisig, ad I am ot eve cofidet that the sample size is large eough to establish ay treds, but I will be brash eough to suggest three, which might be relevat to the questio of the emergece of model systems research: 1) academic boud zoologists teded durig this period to move to deeper levels of aalysis as they wet from the dissertatio to the Habilitatiosschrift; 2) the deeper levels of aalysis became more commo over time, ad ) oly two of the academic boud zoologists (Petrukewitsch ad Schleip) did their dissertatios ad Habilitatiosschrifte o the same orgaism, ad their research appeared toward the ed of our period. If these treds are real, ad a ituitive guess based o the reductioist tred of zoology would suggest they are, they might be explaied i a umber of, ot mutually exclusive, ways: 1) Research problems ad hece hirig patters, icreasigly favored deeper levels of aalysis. 2) Icreasigly refied equipmet ad techiques became more commoly available or stadard i the TABLE 4. Chages i the levels of aalysis over time ad from dissertatio to Habilitatiosschrift of fourtee Uiversity boud Germa zoologists. Name Gruber Ziegler Korschelt Fritze Haecker Spuler Woltereck Paulcke Giither Petruk. Schleip Strohl Demoll Kiih Year Level g r org tis gr tis gr tis Dissertatio Value" R/A" Year ? Habihtatiosschft * Values other tha are assiged to the level of aalysis: = work ot doe i Freiburg ad is ot icluded i the ruig average; 1 = focus o the whole orgaism (org); 2 = focus o the gross aatomical or orga level (gr); = focus o the tissues (tis); 4 = focus o cells (eel); = focus o the ucleus (). b R/A = Ruig Average. c As a protozoologist Griiber worked at both the level of the whole orgaism ad the ucleus simultaeously, givig his Habilitatiosschrift a value of or (1 + )/2. Level gr/ eel org eel Value R/A
7 266 FREDERICK B. CHURCHILL istitute over time. ) Weisma etrusted aalysis o the deeper levels to his better ad more advaced studets. It is worth otig that Weisma's ow research had a more complex chroological profile. Durig the thirtyfour year period covered i Table 4, it moved i a erratic way with respect to the level of aalysis ad geerally i the opposite directio suggested i the table. Weisma completed his studies of germ cell migratios by 188; he performed, with the assistace of Ischikawa, polar body ad reductio divisio work i the mid 188s, ad by the 189s he was writig largely theoretical texts ad doig detailed research o mimicry ad iduced coloratio o the orgaism level. His research optios were ofte resposes to his recurrig retia problems, which kept him from pursuig exteded microscopic studies. CONCLUSIONS: MODEL SYSTEMS AND GENERAL ZOOLOGY What are the implicatios of these historical data for cotemporary discussios of model systems? First, I am struck by the repeated maifestatios of diversity i so may aspects of the operatio of the zoological istitute i Freiburg. There was i Weisma's day a diversity i the life trajectories of the studets, a eormous rage of research orgaisms, a multitude of differet research themes, ad a evehaded attetio to may levels of aalysis, which i tur implied a diversity of techiques ad istrumets. May studets had very differet goals i research ad careers tha that which Weisma may have harbored for the very best. Their idividual desires were ecouraged ad accommodated withi the framework of a geeral zoology program. I suspect that may of these forms of diversity would be atithetical to the more focused research arisig from the exploitatio of a sigle orgaism ad a model systems ageda. Secod, I have oly hited at the relatioship betwee Weisma's ow research ad those of his studets, but I am cofidet that this was more complex tha the traditioal stereotype of a Geheimrat Professor parcellig out segmets of his research program to studets who simply did the meial tasks. The impressio of the research projects at Weisma's istitute emphasizes the past iterest i the variety of life's pheomea ad so idicates a collective cocer about all of the processes of evolutio, developmet, ad heredity. This breadth forced a rage i methods from taxoomy to experimetal breedig ad from biogeography to chromosomal studies. Third, a commo bod betwee Weisma's ad his studets' works, however, ca be see. Weisma's allecompassig germ plasm theory, which emerged i the early 188s ad was the achor of his research thereafter, ad his costat probig ito the complexities of the evolutioary process set a framework for all the research doe at the istitute. Evolutio theory i 19 called for a geeral zoology that exposed the studet to the great diversity i developmet, reproductio, morphology, ad geographical distributio of a large umber of orgaisms. May a dissertatio would deal with most of these dimesios to life; so the comparative approach was imperative. Fourth, Weisma's geeral zoology also mirrored the ature of the academic professio i Germay. To become a successful academic zoologist, that is, the possessor of a Lehrstuhl ad the director of a zoological istitute, a aspirig cadidate was compelled to establish his familiarity with a wide rage of orgaisms, themes ad approaches (Harwood, 199). Fifth, it is useful to compare, if oly i passig, Weisma's program with the zoology program pursued whe betwee 1918 ad 191 Has Spema became director of the same Freiburg istitute. Durig this period his studets wrote twetyfour dissertatios ad five Habilitatiosschrifte (FaBler, 199). Of these oly four, or 1.7%, dealt with orgaisms other tha urodeles ad auras, ad the vast majority focused exclusively o the salamader Trito. Collectively these studies opeed up a picture of the process of iductio i early vertebrate developmet. Fially, if "model systems" is goig to be a useful expressio i biology, the his
8 GENERAL ZOOLOGY 267 toria might cosider at least three stages i the rise of such a strategy: 1) the time whe huma ad material resources of a etire istitute become mobilized to ivestigate a specific problem i a sigle coveiet orgaism; 2) the time whe a orgaism becomes stadardized through domesticatio, ibreedig ad selectio; ad ) the time whe pressures develop for researchers to make cogitive claims about the uiversality of their chose orgaism. Sigificat historical efforts have bee made toward examiig the secod of these phases (Kohler, 1994; Clause, 199; Rader, 199). To uderstad better the trasformatio of the first of these phases, the historia might start with the secod decade of this cetury whe the geeratio of Spema, Morga, ad others istitutioalized the idepth study of give orgaisms. I close by otig that whe i 1929 August Krogh wrote the passage that was later eshried ito the priciple bearig his ame, he explicitly recommeded that i order to fid the correct orgaism for a problem, "we [i.e., physiologists] must apply to the zoologists to fid them ad lay our hads o them" (Krogh, 1929, p. 247). He presumably was referrig to practitioers of the geeral zoology traditio so well exemplified i Weisma's istitute. Krogh ad his colleagues had eed to haste, however, because may zoologists, after wiig their idepedece from the medical faculties i the 187s ad '8s ad after establishig a thrivig traditio i geeral zoology for the ext forty years, were by the 192s headig dow the same model systems trail blazed by physiologists. ACKNOWLEDGMENTS This lecture has bee preseted uder variat titles at the Uiversity of Miesota ad Idiaa Uiversity, ad as a memorial tribute at Johaes Guteberg Uiversity at Maiz, where commets from listeers have helped sharpe the paper at may poits. The research has bee supported i part by a GermaAmerica Academic Cousel grat awarded to the author ad the late Helmut Risler of Maiz, Germay for their joit editorial project etitled August Weisma: Autobiographie, Dokumete, Gutachte ud Ausgewdhlte Briefe, 2 vols., to be published by Freiburg Uiversity Library Press. REFERENCES Iformatio about studets at the zoological istitute, their career trajectories, ad their dissertatios was gathered from umerous archival ad referece sources. The most importat were the Promotiosakte at the Uiversity Archives i Freiburg; Verzeichis der Behorde, hehrer, Astalte, Beamte ud Sludierede auf der Grossherzoglich Badische Uiversitdt Freiburg; Verzeichis der Deutsche Hochschulschrifte; Deutsches Biographische Archiv, ad the dissertatios ad Habilitatiosschrifte themselves. Bolker, J. A Model systems i developmetal biology. Bio Essays, 17:414. Buria, R. M How the choice of experimetal orgaism matters: epistemological reflectios o a aspect of biological practice, J. Hist. Bio., 199, 26:167. Churchill, F WeismaDickel correspodece o the partheogeesis of droes. Proc. X1I1 It. Cog. Hist. Sci., Sect. 9. Naouka, Moscow Clause, B. T The Wistar rat as a right choice: establishig mammalia stadards ad the ideal of a stadardized mammal, J. Hist. Bio. 26: FaBler, P. E Has Spema ( ). Experimetelle Forschug im Spaugsfeld vo Empirie ud Theorie. Ei Beitrag zur Geschichte der Etwicklugsphysiologie zu Begi des 2. Jahrhuderts. Iauguraldissertatio, AlbertLudwigsUiversitat Freiburg i. Br. Gest, H Arabidopsis to zebrafish: a commetary o 'Rosetta Stoe' model systems i the biological scieces, Persp. Biol. Med., 7:778. Harwood, J Styles of Scietific Thought. The Germa Geetics Commuity Uiversity of Chicago Press, Chicago. Holmes, F. L The Old Martyr of Sciece: The Frog i Experimetal Physiology, J. Hist. Bio. 26: Kohler, O Die Zoologie a der Uiversitat Freiburg I. Br. I E Zetgraf (ed.), Aus der Geschichte der aturwissschafte a der Uiversitdt Freiburg I. Br., pp Kohler, R. E Lords of the fly. Drosophila geetics ad the experimetal life. Uiversity of Chicago Press, Chicago & Lodo. Krebs, H. A The August Krogh priciple: For may problems there is a aimal o which it ca be most coveietly studied. J. Exp. Zool. 194: Krogh, A The process of physiology. Am. J. Phys. 9: Nauck, E. T Zur Vorgeschichte der NaturwisseschaftlichMathematische Fakultdt der AlbertLudwigsUiversitat Freiburg i. Br. Eberhard Albert, Freiburg. Nauck, E. T Die Privatdozete der Uiversitdt Freiburg i. Br. Eberhard Albert, Freiburg. Nyhart, L. K Biology takes form. Aimal mor
9 268 FREDERICK B. CHURCHILL phology ad the Germa uiversities Uiversity of Chicago Press, Chicago. Rader, K. A Makig mice: C. C. Little, the Jackso Laboratory, ad the stadardizatio of Mus musculus for research. Upublished Ph.D. Diss. Idiaa Uiversity. Riese, R Die Hochschule auf dem Weege zum wisseschaftliche Grossbetrieb. Die Uiversitdt Heidelberg ud das badische Hochschulwese Erst Klett, Stuttgart. Paulcke, W. 19. Ober die Differezierug der Zellelemele im Ovarium der Bieekoigi (Apis mellifica 9). G. Fischer, Jea. Petrukewitsch (Petrukevitch), A Die Richtugskorper ud ihr Schicksal im befruchtete ud ubefruchtete Bieeei. G. Fischer, Jea. Petrukewitsch (Petrukevitch), A Das Schicksal der Richtugskorper im Droheei. Ei Beitrag zur Ketiss d. atiirliche Partheogeesis. G. Fischer, Jea. Weisma, A Vortrdge u'ber Descedeztheorie. G. Fischer, Jea.
CHAPTER 3 THE TIME VALUE OF MONEY
CHAPTER 3 THE TIME VALUE OF MONEY OVERVIEW A dollar i the had today is worth more tha a dollar to be received i the future because, if you had it ow, you could ivest that dollar ad ear iterest. Of all
More informationModified Line Search Method for Global Optimization
Modified Lie Search Method for Global Optimizatio Cria Grosa ad Ajith Abraham Ceter of Excellece for Quatifiable Quality of Service Norwegia Uiversity of Sciece ad Techology Trodheim, Norway {cria, ajith}@q2s.tu.o
More informationODBC. Getting Started With Sage Timberline Office ODBC
ODBC Gettig Started With Sage Timberlie Office ODBC NOTICE This documet ad the Sage Timberlie Office software may be used oly i accordace with the accompayig Sage Timberlie Office Ed User Licese Agreemet.
More informationTrading the randomness  Designing an optimal trading strategy under a drifted random walk price model
Tradig the radomess  Desigig a optimal tradig strategy uder a drifted radom walk price model Yuao Wu Math 20 Project Paper Professor Zachary Hamaker Abstract: I this paper the author iteds to explore
More informationProfessional Networking
Professioal Networkig 1. Lear from people who ve bee where you are. Oe of your best resources for etworkig is alumi from your school. They ve take the classes you have take, they have bee o the job market
More informationCREATIVE MARKETING PROJECT 2016
CREATIVE MARKETING PROJECT 2016 The Creative Marketig Project is a chapter project that develops i chapter members a aalytical ad creative approach to the marketig process, actively egages chapter members
More informationNPTEL STRUCTURAL RELIABILITY
NPTEL Course O STRUCTURAL RELIABILITY Module # 0 Lecture 1 Course Format: Web Istructor: Dr. Aruasis Chakraborty Departmet of Civil Egieerig Idia Istitute of Techology Guwahati 1. Lecture 01: Basic Statistics
More informationThe Forgotten Middle. research readiness results. Executive Summary
The Forgotte Middle Esurig that All Studets Are o Target for College ad Career Readiess before High School Executive Summary Today, college readiess also meas career readiess. While ot every high school
More informationPreSuit Collection Strategies
PreSuit Collectio Strategies Writte by Charles PT Phoeix How to Decide Whether to Pursue Collectio Calculatig the Value of Collectio As with ay busiess litigatio, all factors associated with the process
More informationHow to read A Mutual Fund shareholder report
Ivestor BulletI How to read A Mutual Fud shareholder report The SEC s Office of Ivestor Educatio ad Advocacy is issuig this Ivestor Bulleti to educate idividual ivestors about mutual fud shareholder reports.
More informationStandard Errors and Confidence Intervals
Stadard Errors ad Cofidece Itervals Itroductio I the documet Data Descriptio, Populatios ad the Normal Distributio a sample had bee obtaied from the populatio of heights of 5yearold boys. If we assume
More informationPUBLIC RELATIONS PROJECT 2016
PUBLIC RELATIONS PROJECT 2016 The purpose of the Public Relatios Project is to provide a opportuity for the chapter members to demostrate the kowledge ad skills eeded i plaig, orgaizig, implemetig ad evaluatig
More informationDetermining the sample size
Determiig the sample size Oe of the most commo questios ay statisticia gets asked is How large a sample size do I eed? Researchers are ofte surprised to fid out that the aswer depeds o a umber of factors
More informationDepartment of Computer Science, University of Otago
Departmet of Computer Sciece, Uiversity of Otago Techical Report OUCS200609 Permutatios Cotaiig May Patters Authors: M.H. Albert Departmet of Computer Sciece, Uiversity of Otago Micah Colema, Rya Fly
More information.04. This means $1000 is multiplied by 1.02 five times, once for each of the remaining sixmonth
Questio 1: What is a ordiary auity? Let s look at a ordiary auity that is certai ad simple. By this, we mea a auity over a fixed term whose paymet period matches the iterest coversio period. Additioally,
More informationBiology 171L Environment and Ecology Lab Lab 2: Descriptive Statistics, Presenting Data and Graphing Relationships
Biology 171L Eviromet ad Ecology Lab Lab : Descriptive Statistics, Presetig Data ad Graphig Relatioships Itroductio Log lists of data are ofte ot very useful for idetifyig geeral treds i the data or the
More informationModule 4: Mathematical Induction
Module 4: Mathematical Iductio Theme 1: Priciple of Mathematical Iductio Mathematical iductio is used to prove statemets about atural umbers. As studets may remember, we ca write such a statemet as a predicate
More informationIn nite Sequences. Dr. Philippe B. Laval Kennesaw State University. October 9, 2008
I ite Sequeces Dr. Philippe B. Laval Keesaw State Uiversity October 9, 2008 Abstract This had out is a itroductio to i ite sequeces. mai de itios ad presets some elemetary results. It gives the I ite Sequeces
More informationHypergeometric Distributions
7.4 Hypergeometric Distributios Whe choosig the startig lieup for a game, a coach obviously has to choose a differet player for each positio. Similarly, whe a uio elects delegates for a covetio or you
More informationMaking training work for your business
Makig traiig work for your busiess Itegratig core skills of laguage, literacy ad umeracy ito geeral workplace traiig makes sese. The iformatio i this pamphlet will help you pla for ad build a successful
More informationTIEE Teaching Issues and Experiments in Ecology  Volume 1, January 2004
TIEE Teachig Issues ad Experimets i Ecology  Volume 1, Jauary 2004 EXPERIMENTS Evirometal Correlates of Leaf Stomata Desity Bruce W. Grat ad Itzick Vatick Biology, Wideer Uiversity, Chester PA, 19013
More informationINDEPENDENT BUSINESS PLAN EVENT 2016
INDEPENDENT BUSINESS PLAN EVENT 2016 The Idepedet Busiess Pla Evet ivolves the developmet of a comprehesive proposal to start a ew busiess. Ay type of busiess may be used. The Idepedet Busiess Pla Evet
More informationEkkehart Schlicht: Economic Surplus and Derived Demand
Ekkehart Schlicht: Ecoomic Surplus ad Derived Demad Muich Discussio Paper No. 200617 Departmet of Ecoomics Uiversity of Muich Volkswirtschaftliche Fakultät LudwigMaximiliasUiversität Müche Olie at http://epub.ub.uimueche.de/940/
More informationIncremental calculation of weighted mean and variance
Icremetal calculatio of weighted mea ad variace Toy Fich faf@cam.ac.uk dot@dotat.at Uiversity of Cambridge Computig Service February 009 Abstract I these otes I eplai how to derive formulae for umerically
More informationwhere: T = number of years of cash flow in investment's life n = the year in which the cash flow X n i = IRR = the internal rate of return
EVALUATING ALTERNATIVE CAPITAL INVESTMENT PROGRAMS By Ke D. Duft, Extesio Ecoomist I the March 98 issue of this publicatio we reviewed the procedure by which a capital ivestmet project was assessed. The
More informationExample 2 Find the square root of 0. The only square root of 0 is 0 (since 0 is not positive or negative, so those choices don t exist here).
BEGINNING ALGEBRA Roots ad Radicals (revised summer, 00 Olso) Packet to Supplemet the Curret Textbook  Part Review of Square Roots & Irratioals (This portio ca be ay time before Part ad should mostly
More informationStat 104 Lecture 2. Variables and their distributions. DJIA: monthly % change, 2000 to Finding the center of a distribution. Median.
Stat 04 Lecture Statistics 04 Lecture (IPS. &.) Outlie for today Variables ad their distributios Fidig the ceter Measurig the spread Effects of a liear trasformatio Variables ad their distributios Variable:
More informationI. Chisquared Distributions
1 M 358K Supplemet to Chapter 23: CHISQUARED DISTRIBUTIONS, TDISTRIBUTIONS, AND DEGREES OF FREEDOM To uderstad tdistributios, we first eed to look at aother family of distributios, the chisquared distributios.
More informationG r a d e. 2 M a t h e M a t i c s. statistics and Probability
G r a d e 2 M a t h e M a t i c s statistics ad Probability Grade 2: Statistics (Data Aalysis) (2.SP.1, 2.SP.2) edurig uderstadigs: data ca be collected ad orgaized i a variety of ways. data ca be used
More informationBUSINESS GROWTH PLAN EVENT 2016
BUSINESS GROWTH PLAN EVENT 2016 The Busiess Growth Pla ivolves the idea geeratio ad strategy developmet eeded to grow a existig busiess. Participats i the Busiess Growth Pla will aalyze their curret busiess
More informationInvesting in Stocks WHAT ARE THE DIFFERENT CLASSIFICATIONS OF STOCKS? WHY INVEST IN STOCKS? CAN YOU LOSE MONEY?
Ivestig i Stocks Ivestig i Stocks Busiesses sell shares of stock to ivestors as a way to raise moey to fiace expasio, pay off debt ad provide operatig capital. Ecoomic coditios: Employmet, iflatio, ivetory
More informationA probabilistic proof of a binomial identity
A probabilistic proof of a biomial idetity Joatho Peterso Abstract We give a elemetary probabilistic proof of a biomial idetity. The proof is obtaied by computig the probability of a certai evet i two
More informationHandling. Collection Calls
Hadlig the Collectio Calls We do everythig we ca to stop collectio calls; however, i the early part of our represetatio, you ca expect some of these calls to cotiue. We uderstad that the first few moths
More informationGOOD PRACTICE CHECKLIST FOR INTERPRETERS WORKING WITH DOMESTIC VIOLENCE SITUATIONS
GOOD PRACTICE CHECKLIST FOR INTERPRETERS WORKING WITH DOMESTIC VIOLENCE SITUATIONS I the sprig of 2008, Stadig Together agaist Domestic Violece carried out a piece of collaborative work o domestic violece
More informationINVESTMENT PERFORMANCE COUNCIL (IPC)
INVESTMENT PEFOMANCE COUNCIL (IPC) INVITATION TO COMMENT: Global Ivestmet Performace Stadards (GIPS ) Guidace Statemet o Calculatio Methodology The Associatio for Ivestmet Maagemet ad esearch (AIM) seeks
More informationDiscrete Mathematics and Probability Theory Spring 2014 Anant Sahai Note 13
EECS 70 Discrete Mathematics ad Probability Theory Sprig 2014 Aat Sahai Note 13 Itroductio At this poit, we have see eough examples that it is worth just takig stock of our model of probability ad may
More informationCHAPTER 3 DIGITAL CODING OF SIGNALS
CHAPTER 3 DIGITAL CODING OF SIGNALS Computers are ofte used to automate the recordig of measuremets. The trasducers ad sigal coditioig circuits produce a voltage sigal that is proportioal to a quatity
More informationWeek 3 Conditional probabilities, Bayes formula, WEEK 3 page 1 Expected value of a random variable
Week 3 Coditioal probabilities, Bayes formula, WEEK 3 page 1 Expected value of a radom variable We recall our discussio of 5 card poker hads. Example 13 : a) What is the probability of evet A that a 5
More informationMathematical goals. Starting points. Materials required. Time needed
Level A1 of challege: C A1 Mathematical goals Startig poits Materials required Time eeded Iterpretig algebraic expressios To help learers to: traslate betwee words, symbols, tables, ad area represetatios
More informationProject Deliverables. CS 361, Lecture 28. Outline. Project Deliverables. Administrative. Project Comments
Project Deliverables CS 361, Lecture 28 Jared Saia Uiversity of New Mexico Each Group should tur i oe group project cosistig of: About 612 pages of text (ca be loger with appedix) 612 figures (please
More informationResearch Method (I) Knowledge on Sampling (Simple Random Sampling)
Research Method (I) Kowledge o Samplig (Simple Radom Samplig) 1. Itroductio to samplig 1.1 Defiitio of samplig Samplig ca be defied as selectig part of the elemets i a populatio. It results i the fact
More information*The most important feature of MRP as compared with ordinary inventory control analysis is its time phasing feature.
Itegrated Productio ad Ivetory Cotrol System MRP ad MRP II Framework of Maufacturig System Ivetory cotrol, productio schedulig, capacity plaig ad fiacial ad busiess decisios i a productio system are iterrelated.
More informationDesigning Incentives for Online Question and Answer Forums
Desigig Icetives for Olie Questio ad Aswer Forums Shaili Jai School of Egieerig ad Applied Scieces Harvard Uiversity Cambridge, MA 0238 USA shailij@eecs.harvard.edu Yilig Che School of Egieerig ad Applied
More informationMeasures of Central Tendency
Measures of Cetral Tedecy A studet s grade will be determied by exam grades ( each exam couts twice ad there are three exams, HW average (couts oce, fial exam ( couts three times. Fid the average if the
More informationInformation for Programs Seeking Initial Accreditation
Iformatio for Programs Seekig Iitial Accreditatio Aswers to Frequetly AskedQuestios (from www.abet.org/ewtoaccreditatio/) Assurig Quality l Stimulatig Iovatio This documet iteds to aswer may of the
More informationAQA STATISTICS 1 REVISION NOTES
AQA STATISTICS 1 REVISION NOTES AVERAGES AND MEASURES OF SPREAD www.mathsbox.org.uk Mode : the most commo or most popular data value the oly average that ca be used for qualitative data ot suitable if
More informationSwaps: Constant maturity swaps (CMS) and constant maturity. Treasury (CMT) swaps
Swaps: Costat maturity swaps (CMS) ad costat maturity reasury (CM) swaps A Costat Maturity Swap (CMS) swap is a swap where oe of the legs pays (respectively receives) a swap rate of a fixed maturity, while
More informationInformation about Bankruptcy
Iformatio about Bakruptcy Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea Isolvecy Service of Irelad Seirbhís Dócmhaieachta a héirea What is the? The Isolvecy Service of Irelad () is a idepedet
More informationINVESTMENT PERFORMANCE COUNCIL (IPC) Guidance Statement on Calculation Methodology
Adoptio Date: 4 March 2004 Effective Date: 1 Jue 2004 Retroactive Applicatio: No Public Commet Period: Aug Nov 2002 INVESTMENT PERFORMANCE COUNCIL (IPC) Preface Guidace Statemet o Calculatio Methodology
More informationleasing Solutions We make your Business our Business
if you d like to discover how Bp paribas leasig Solutios Ca help you to achieve your goals please get i touch leasig Solutios We make your Busiess our Busiess We look forward to hearig from you you ca
More informationSoving Recurrence Relations
Sovig Recurrece Relatios Part 1. Homogeeous liear 2d degree relatios with costat coefficiets. Cosider the recurrece relatio ( ) T () + at ( 1) + bt ( 2) = 0 This is called a homogeeous liear 2d degree
More informationAnalyzing Longitudinal Data from Complex Surveys Using SUDAAN
Aalyzig Logitudial Data from Complex Surveys Usig SUDAAN Darryl Creel Statistics ad Epidemiology, RTI Iteratioal, 312 Trotter Farm Drive, Rockville, MD, 20850 Abstract SUDAAN: Software for the Statistical
More informationINTERNATIONAL BUSINESS PLAN EVENT 2016
INTERNATIONAL BUSINESS PLAN EVENT 2016 The Iteratioal Busiess Pla Evet ivolves the developmet of a proposal to start a ew busiess veture i a iteratioal settig. Ay type of busiess may be used. The purpose
More information6. p o s I T I v e r e I n f o r c e M e n T
6. p o s I T I v e r e I f o r c e M e T The way positive reiforcemet is carried out is more importat tha the amout. B.F. Skier We all eed positive reiforcemet. Whether or ot we are cosciously aware of
More informationCS103A Handout 23 Winter 2002 February 22, 2002 Solving Recurrence Relations
CS3A Hadout 3 Witer 00 February, 00 Solvig Recurrece Relatios Itroductio A wide variety of recurrece problems occur i models. Some of these recurrece relatios ca be solved usig iteratio or some other ad
More informationSequences and Series
CHAPTER 9 Sequeces ad Series 9.. Covergece: Defiitio ad Examples Sequeces The purpose of this chapter is to itroduce a particular way of geeratig algorithms for fidig the values of fuctios defied by their
More informationDescriptive statistics deals with the description or simple analysis of population or sample data.
Descriptive statistics Some basic cocepts A populatio is a fiite or ifiite collectio of idividuals or objects. Ofte it is impossible or impractical to get data o all the members of the populatio ad a small
More informationBuilding Blocks Problem Related to Harmonic Series
TMME, vol3, o, p.76 Buildig Blocks Problem Related to Harmoic Series Yutaka Nishiyama Osaka Uiversity of Ecoomics, Japa Abstract: I this discussio I give a eplaatio of the divergece ad covergece of ifiite
More informationA Guide to the Pricing Conventions of SFE Interest Rate Products
A Guide to the Pricig Covetios of SFE Iterest Rate Products SFE 30 Day Iterbak Cash Rate Futures Physical 90 Day Bak Bills SFE 90 Day Bak Bill Futures SFE 90 Day Bak Bill Futures Tick Value Calculatios
More informationDomain 1: Designing a SQL Server Instance and a Database Solution
Maual SQL Server 2008 Desig, Optimize ad Maitai (70450) 18004186789 Domai 1: Desigig a SQL Server Istace ad a Database Solutio Desigig for CPU, Memory ad Storage Capacity Requiremets Whe desigig a
More informationFM4 CREDIT AND BORROWING
FM4 CREDIT AND BORROWING Whe you purchase big ticket items such as cars, boats, televisios ad the like, retailers ad fiacial istitutios have various terms ad coditios that are implemeted for the cosumer
More informationGrade 7. Strand: Number Specific Learning Outcomes It is expected that students will:
Strad: Number Specific Learig Outcomes It is expected that studets will: 7.N.1. Determie ad explai why a umber is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, ad why a umber caot be divided by 0. [C, R] [C]
More informationAutomatic Tuning for FOREX Trading System Using Fuzzy Time Series
utomatic Tuig for FOREX Tradig System Usig Fuzzy Time Series Kraimo Maeesilp ad Pitihate Soorasa bstract Efficiecy of the automatic currecy tradig system is time depedet due to usig fixed parameters which
More informationUser manual and preprogrammed spreadsheets for performing revision analysis
User maual ad preprogrammed spreadsheets for performig revisio aalysis This documet describes how to perform revisio aalysis usig preprogrammed template spreadsheets based o data extracted from the OECD
More informationSnap. Jenine's formula. The SNAP probability is
Sap The game of SNAP is played with stadard decks of cards. The decks are shuffled ad cards are dealt simultaeously from the top of each deck. SNAP is called if the two dealt cards are idetical (value
More informationCollege of Nursing and Health care Professions
College of Nursig ad Health care Professios a history of excellece Grad Cayo Uiversity s College of Nursig ad Health Care Professios has bee providig a outstadig health care educatio for over 25 years.
More information4.1 Sigma Notation and Riemann Sums
0 the itegral. Sigma Notatio ad Riema Sums Oe strategy for calculatig the area of a regio is to cut the regio ito simple shapes, calculate the area of each simple shape, ad the add these smaller areas
More informationPredictive Modeling Data. in the ACT Electronic Student Record
Predictive Modelig Data i the ACT Electroic Studet Record overview Predictive Modelig Data Added to the ACT Electroic Studet Record With the release of studet records i September 2012, predictive modelig
More informationProblem Set 1 Oligopoly, market shares and concentration indexes
Advaced Idustrial Ecoomics Sprig 2016 Joha Steek 29 April 2016 Problem Set 1 Oligopoly, market shares ad cocetratio idexes 1 1 Price Competitio... 3 1.1 Courot Oligopoly with Homogeous Goods ad Differet
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 04 MARKS: 50 TIME: 3 hours This questio paper cosists of 8 pages ad iformatio sheet. Please tur over Mathematics/P DBE/04 NSC Grade Eemplar INSTRUCTIONS
More informationForecasting techniques
2 Forecastig techiques this chapter covers... I this chapter we will examie some useful forecastig techiques that ca be applied whe budgetig. We start by lookig at the way that samplig ca be used to collect
More informationSTUDENTS PARTICIPATION IN ONLINE LEARNING IN BUSINESS COURSES AT UNIVERSITAS TERBUKA, INDONESIA. Maya Maria, Universitas Terbuka, Indonesia
STUDENTS PARTICIPATION IN ONLINE LEARNING IN BUSINESS COURSES AT UNIVERSITAS TERBUKA, INDONESIA Maya Maria, Uiversitas Terbuka, Idoesia Coauthor: Amiuddi Zuhairi, Uiversitas Terbuka, Idoesia Kuria Edah
More informationOutput Analysis (2, Chapters 10 &11 Law)
B. Maddah ENMG 6 Simulatio 05/0/07 Output Aalysis (, Chapters 10 &11 Law) Comparig alterative system cofiguratio Sice the output of a simulatio is radom, the comparig differet systems via simulatio should
More informationChapter 6: Variance, the law of large numbers and the MonteCarlo method
Chapter 6: Variace, the law of large umbers ad the MoteCarlo method Expected value, variace, ad Chebyshev iequality. If X is a radom variable recall that the expected value of X, E[X] is the average value
More informationGCSE STATISTICS. 4) How to calculate the range: The difference between the biggest number and the smallest number.
GCSE STATISTICS You should kow: 1) How to draw a frequecy diagram: e.g. NUMBER TALLY FREQUENCY 1 3 5 ) How to draw a bar chart, a pictogram, ad a pie chart. 3) How to use averages: a) Mea  add up all
More informationThe analysis of the Cournot oligopoly model considering the subjective motive in the strategy selection
The aalysis of the Courot oligopoly model cosiderig the subjective motive i the strategy selectio Shigehito Furuyama Teruhisa Nakai Departmet of Systems Maagemet Egieerig Faculty of Egieerig Kasai Uiversity
More information1 Computing the Standard Deviation of Sample Means
Computig the Stadard Deviatio of Sample Meas Quality cotrol charts are based o sample meas ot o idividual values withi a sample. A sample is a group of items, which are cosidered all together for our aalysis.
More informationRecursion and Recurrences
Chapter 5 Recursio ad Recurreces 5.1 Growth Rates of Solutios to Recurreces Divide ad Coquer Algorithms Oe of the most basic ad powerful algorithmic techiques is divide ad coquer. Cosider, for example,
More informationSECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES
SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES Read Sectio 1.5 (pages 5 9) Overview I Sectio 1.5 we lear to work with summatio otatio ad formulas. We will also itroduce a brief overview of sequeces,
More information7.1 Finding Rational Solutions of Polynomial Equations
4 Locker LESSON 7. Fidig Ratioal Solutios of Polyomial Equatios Name Class Date 7. Fidig Ratioal Solutios of Polyomial Equatios Essetial Questio: How do you fid the ratioal roots of a polyomial equatio?
More informationFrance caters to innovative companies and offers the best research tax credit in Europe
1/5 The Frech Govermet has three objectives : > improve Frace s fiscal competitiveess > cosolidate R&D activities > make Frace a attractive coutry for iovatio Tax icetives have become a key elemet of public
More informationThe Big Picture: An Introduction to Data Warehousing
Chapter 1 The Big Picture: A Itroductio to Data Warehousig Itroductio I 1977, Jimmy Carter was Presidet of the Uited States, Star Wars hit the big scree, ad Apple Computer, Ic. itroduced the world to the
More informationQuadrat Sampling in Population Ecology
Quadrat Samplig i Populatio Ecology Backgroud Estimatig the abudace of orgaisms. Ecology is ofte referred to as the "study of distributio ad abudace". This beig true, we would ofte like to kow how may
More informationSetting Up a Contract Action Network
CONTRACT ACTION NETWORK Settig Up a Cotract Actio Network This is a guide for local uio reps who wat to set up a iteral actio etwork i their worksites. This etwork cosists of: The local uio represetative,
More informationCDs Bought at a Bank verses CD s Bought from a Brokerage. Floyd Vest
CDs Bought at a Bak verses CD s Bought from a Brokerage Floyd Vest CDs bought at a bak. CD stads for Certificate of Deposit with the CD origiatig i a FDIC isured bak so that the CD is isured by the Uited
More informationBaan Service Master Data Management
Baa Service Master Data Maagemet Module Procedure UP069A US Documetiformatio Documet Documet code : UP069A US Documet group : User Documetatio Documet title : Master Data Maagemet Applicatio/Package :
More informationAPPENDIX V TWOYEAR COLLEGE SURVEY
APPENDIX V TWOYEAR COLLEGE SURVEY GENERAL INSTRUCTIONS Coferece Board of the Mathematical Scieces SURVEY OF PROGRAMS i MATHEMATICS AND COMPUTER SCIENCE i TWOYEAR COLLEGES 1990 This questioaire should
More informationA GUIDE TO BUILDING SMART BUSINESS CREDIT
A GUIDE TO BUILDING SMART BUSINESS CREDIT Establishig busiess credit ca be the key to growig your compay DID YOU KNOW? Busiess Credit ca help grow your busiess Soud paymet practices are key to a solid
More informationSubject CT5 Contingencies Core Technical Syllabus
Subject CT5 Cotigecies Core Techical Syllabus for the 2015 exams 1 Jue 2014 Aim The aim of the Cotigecies subject is to provide a groudig i the mathematical techiques which ca be used to model ad value
More informationUnit 20 Hypotheses Testing
Uit 2 Hypotheses Testig Objectives: To uderstad how to formulate a ull hypothesis ad a alterative hypothesis about a populatio proportio, ad how to choose a sigificace level To uderstad how to collect
More informationUNIT 3 SUMMARY STATIONS THROUGHOUT THE NEXT 2 DAYS, WE WILL BE SUMMARIZING THE CONCEPT OF EXPONENTIAL FUNCTIONS AND THEIR VARIOUS APPLICATIONS.
Name: Group Members: UNIT 3 SUMMARY STATIONS THROUGHOUT THE NEXT DAYS, WE WILL BE SUMMARIZING THE CONCEPT OF EXPONENTIAL FUNCTIONS AND THEIR VARIOUS APPLICATIONS. EACH ACTIVITY HAS A COLOR THAT CORRESPONDS
More informationEngineering Data Management
BaaERP 5.0c Maufacturig Egieerig Data Maagemet Module Procedure UP128A US Documetiformatio Documet Documet code : UP128A US Documet group : User Documetatio Documet title : Egieerig Data Maagemet Applicatio/Package
More informationThe Stable Marriage Problem
The Stable Marriage Problem William Hut Lae Departmet of Computer Sciece ad Electrical Egieerig, West Virgiia Uiversity, Morgatow, WV William.Hut@mail.wvu.edu 1 Itroductio Imagie you are a matchmaker,
More informationTime Value of Money and Investment Analysis
Time Value of Moey ad Ivestmet Aalysis Explaatios ad Spreadsheet Applicatios for Agricultural ad Agribusiess Firms Part I. by Bruce J. Sherrick Paul N. Elliger David A. Lis V 1.2, September 2000 The Ceter
More informationNational Institute on Aging. What Is A Nursing Home?
Natioal Istitute o Agig AgePage Nursig Homes: Makig The Right Choice Lucille has lived i her home for 33 years. Eve after her husbad died 3 years ago, she was able to maage o her ow. Recetly, she broke
More informationMeasures of Spread and Boxplots Discrete Math, Section 9.4
Measures of Spread ad Boxplots Discrete Math, Sectio 9.4 We start with a example: Example 1: Comparig Mea ad Media Compute the mea ad media of each data set: S 1 = {4, 6, 8, 10, 1, 14, 16} S = {4, 7, 9,
More informationAGC s SUPERVISORY TRAINING PROGRAM
AGC s SUPERVISORY TRAINING PROGRAM Learig Today...Leadig Tomorrow The Kowledge ad Skills Every Costructio Supervisor Must Have to be Effective The Associated Geeral Cotractors of America s Supervisory
More informationMARTINGALES AND A BASIC APPLICATION
MARTINGALES AND A BASIC APPLICATION TURNER SMITH Abstract. This paper will develop the measuretheoretic approach to probability i order to preset the defiitio of martigales. From there we will apply this
More informationSequences, Series and Convergence with the TI 92. Roger G. Brown Monash University
Sequeces, Series ad Covergece with the TI 92. Roger G. Brow Moash Uiversity email: rgbrow@deaki.edu.au Itroductio. Studets erollig i calculus at Moash Uiversity, like may other calculus courses, are itroduced
More informationVolatility of rates of return on the example of wheat futures. Sławomir Juszczyk. Rafał Balina
Overcomig the Crisis: Ecoomic ad Fiacial Developmets i Asia ad Europe Edited by Štefa Bojec, Josef C. Brada, ad Masaaki Kuboiwa http://www.hippocampus.si/isbn/9789616832328/cotets.pdf Volatility of
More information