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Articles 8401 - 8430 of 8799
Full-Text Articles in Physical Sciences and Mathematics
Depositional Environments And Diagenesis Of Carbonates And Associated Evaporites, Frobisher-Alida Interval, Madison Group (Mississippian), Williston Basin, Northwestern North Dakota, Thomas J. Obelenus
Theses and Dissertations
The Frobisher-Alida interval is a subsurface, marker-defined unit, one of several units designated for rocks of the Madison Group (Mississippian) in the Williston Basin of North Dakota. The Frobisher Alida conformably overlies the Tilston interval and is conformably overlain by the Ratcliffe interval. 1t attains a maximum thickness of a little over 400 feet (123 m) and thins to an erosional edge along the eastern margin of the Basin.
The Frobisher-Alida is composed of limestones, dolomitic limestones, and dolostones of the Mission Canyon Formation and anhydrites of the overlying Charles Formation which exist in a complex facies relationship within the …
The Geology And Hydrocarbon Potential Of The Dawson Bay Formation Carbonate Unit (Middle Devonian), Williston Basin, North Dakota, Wayne R. Pound
The Geology And Hydrocarbon Potential Of The Dawson Bay Formation Carbonate Unit (Middle Devonian), Williston Basin, North Dakota, Wayne R. Pound
Theses and Dissertations
The Middle Devonian Dawson Bay Formation carbonate unit is present in the subsurface of North Dakota except where truncated by post-depositional erosion. The carbonate unit thickens from the erosional limit to a maximum thickness of 47.5 m (156 ft.) in Renville County and reaches a maximum depth of 3798 m (12, 432 ft.) below the surface in McKenzie County. In North Dakota, a submarine hardground separates the carbonate unit from the underlying “Second Red Bed member” of the Dawson Bay Formation. The upper contact with the Souris River Formation is conformable except in those areas where the Dawson Bay Formation …
Geochemistry And Petrology Of The Lake Vermilion Formation, Ely Greenstone Belt, Northeastern Minnesota, Scott E. Robinson
Geochemistry And Petrology Of The Lake Vermilion Formation, Ely Greenstone Belt, Northeastern Minnesota, Scott E. Robinson
Theses and Dissertations
Alteration in the Lake Vermilion Formation took place at low water/rock ratios. Calculations using the method of Grescens (1967) indicate that the amount of open-system elemental exchange was slight. During secondary alteration, Ca, Na, K, Rb, Sr, and Ba were very mobile; Mg and Fe were less mobile; Si, Al, Ti, Zr, Y, and Ni were slightly mobile. Chemically the rocks resemble modern spilites and keratophyres.
The dacites and basalts are depleted in Ti, Zr, and Y relative to Tertiary igneous rocks of similar composition. The Lake Vermilion Formation basalts display a volcanic arc basalt trend of constant Ti02 with …
Macrofossils And Biostratigraphy Of The Bakken Formation (Devonian And Mississippian) In Western North Dakota, Lawrence C. Thrasher
Macrofossils And Biostratigraphy Of The Bakken Formation (Devonian And Mississippian) In Western North Dakota, Lawrence C. Thrasher
Theses and Dissertations
The Bakken Formation, up to 145 feet thick in North Dakota, is a subsurface formation in the Williston Basin that typically consists of two black shale members separated by a middle member of predominantly gray siltstone or silty limestone up to 85 feet thick.
Well over 500 macrofossils representing more than 50 taxa were collected from cores of 40 wells. Brachiopods, the most common fossil, represent 17 genera, 1 of which have not been previously reported from the Bakken. Nonbrachiopod fossils of this study, mostly not previously reported from the Bakken, are a hylothyrid, a conulariid, a syringoporid coral, several …
Palynology Of The Hagel Lignite Bed And Associated Strata, Sentinel Butte Formation (Paleocene), In Central North Dakota, Edward N. Steadman
Palynology Of The Hagel Lignite Bed And Associated Strata, Sentinel Butte Formation (Paleocene), In Central North Dakota, Edward N. Steadman
Theses and Dissertations
The Hagel bed is an economically important lignite and is the lowest named lignite in the Sentinel Butte Formation, Fort Union Group. The Hagel bed extends throughout the Knife River Basin coal-mining area of central North Dakota. Stratigraphic sections of the Hagel bed, including intercalated clastic rocks, were measured in the highwalls of the Center mine, Glenharold mine, and Falkirk mine.
Samples from the stratigraphic sections were described and analyzed, using standard palynological techniques, for their palynomorph content. Palynomorphs proved to be well preserved and abundant. Maceration of Hagel bed samples yielded a diverse collection of palynomorphs. A total of …
Metamorphism And Migmatization Of Metasediments In The Precambrian English River Subprovince, Western Ontario, Rodney M. Baumann
Metamorphism And Migmatization Of Metasediments In The Precambrian English River Subprovince, Western Ontario, Rodney M. Baumann
Theses and Dissertations
Metasediments of the Precambrian English River subprovince, a subdivision of the Superior province, are conspicuously migmatized by 'bands of light-colored, igneous-appearing material. The metasediments themselves consist of alternating layers of pelite and wacke lithologies, which represent original mudstones and graywackes respectively. Their deposition is thought to represent subaqueous turbidity flows.
For the metasediments of the study area, a 250 square kilometer portion of the English River subprovince, metamorphic grade increases southward from the English River subprovince's northern border. Two isograds have been mapped: the disappearance of muscovite and the disappearance of stable sillimanite. Geothermometry studies are consistent with the trend …
Middle And Late Wisconsinan (Pleistocene) Insect Assemblages From Illinois, Kristine D. Carter
Middle And Late Wisconsinan (Pleistocene) Insect Assemblages From Illinois, Kristine D. Carter
Theses and Dissertations
Two highly organic sediment sequences from central and western Illinois (the Athens North Quarry and Biggsville sites, respectively) of Middle and Late Wisconsinan age were studied to gain knowledge about the environment and climate of this area during the time immediately prior to the maximum extent of the last glaciation. Paleoenvironmental and paleoclimatic inferences are based principally upon knowledge of the habitat preferences and geographic distributions of extant species of beetles that are represented as fossils. These data are supplemented by information from sedimentological and taphonomic studies and from previously published palynological and plant-macrofossil studies.
The Athens North Quarry site …
Metamorphism In The Eastern Lac Seul Region Of The English River Subprovince, Ontario, Steve J. Chipera
Metamorphism In The Eastern Lac Seul Region Of The English River Subprovince, Ontario, Steve J. Chipera
Theses and Dissertations
The English River subprovince of the Superior Province, Canada, is a linear, east-west trending high-grade metamorphic belt which extends from Lake Winnipeg in the west, to the James Bay lowlands in the east. It is composed of two prominent lithologic domains: a northern sedimentary gneiss-migmatite domain, and a southern plutonic domain. The northern domain consists primarily of alternating migmatized layers of garnet-biotite "wacke" and garnet-cordierite-biotite "pelitic" metasediments. The southern domain is composed mainly of intermediate granitic to trondhjemitic plutons. Bordering to the north and south are the lower grade Uchi and Wabigoon greenstone belts. Metamorphism and migmatization occurred during the …
Petrology Of The Sentinel Butte Formation (Paleocene), North Dakota, Nels F. Forsman
Petrology Of The Sentinel Butte Formation (Paleocene), North Dakota, Nels F. Forsman
Theses and Dissertations
Sedimentary materials of the Sentinel Butte Formation have been petrographically examined using optical and scanning electron micro scope/microprobe techniques. The formation consists of fine-grained materials which generally are classified mineralogically as volcanic litharenites or feldspathic litharenites. Most rock units in the formation are siltstones and mudstones. Multiple source rock types, including volcanic, metamorphic, and sedimentary, are represented by mineralogic constituents, but volcanic rock fragments are most abundant. Petrographic distinctions between basal and uppermost sandstone units suggest that a change in sediment supply took place near the end of Sentinel Butte time. Authigenic cement development appears concentrated in more porous and …
Toward A Normative Computer-Aided Contingency Planning Protocol, Peter H. Aiken
Toward A Normative Computer-Aided Contingency Planning Protocol, Peter H. Aiken
Theses and Dissertations
This thesis effort is an investigation into the subject of contingency planning.
Increases in the number of organizations operating in "turbulent environments" have highlighted deficiencies in planning methodologies which attempt to base continued organizational survival upon a single course of action. In these instances, organizations experience an increase in the number of variables and possible events for which they must be prepared. Traditional contingency planning efforts attempt to prepare the organization for the occurrence of events that are foreseen deviations from "the master plan". When operating in turbulent environments, organizations must plan to move quickly through a series of differing …
Effects Of N-Substituents On The Polymerization Properties Of Maleimide, Dilip R. Abayasekara
Effects Of N-Substituents On The Polymerization Properties Of Maleimide, Dilip R. Abayasekara
Theses and Dissertations
The effect of the amide function and the carbethoxy function on the polymerization properties of maleimide are reported. The effects of these functions on homopolymerization and copolymerization (with styrene) were examined. These electron-withdrawing groups appeared to decrease the rate of homopolymerization and increase the rate of copolymerization.
N-carbamylmaleimide and N-carbethoxymaleimide were copolymerized with styrene in 1,4 -dioxane at 60.0° C at different feed ratios to high conversion. Copolymer composition, determined by elemental analysis and 1H NMR, indicated that while 1:1 copolymers were obtained with an equimolar feed ratio, the two systems were not alternating. It is of note that the …
Archean Metamorphism In Northwestern Ontario And Southeastern Manitoba, Kevin R. Henke
Archean Metamorphism In Northwestern Ontario And Southeastern Manitoba, Kevin R. Henke
Theses and Dissertations
Four areas are considered in this study. In Ontario, north-south traverses were made along Highway 599 between Savant Lake and Central Patricia, along the Vermilion River road (40 kilometers northeast of Sioux Lookout) and along Highway 105 between Vermilion Bay and Ear Falls (Fig. 3). The fourth area is centered at Bird River, northeast of Lac du Bonnet, Manitoba. The study areas are located in the Uchi, English River and Wabigoon Subprovinces.
The traverse along Highway 599 between Savant Lake and Central Patricia crosses the three subprovinces (Fig. 3). Pelites in the eastern Lake St. Joseph area (Uchi Sub province) …
Conodonts Of The Bakken Formation (Devonian And Mississippian), Williston Basin, North Dakota, Michael D. Hayes
Conodonts Of The Bakken Formation (Devonian And Mississippian), Williston Basin, North Dakota, Michael D. Hayes
Theses and Dissertations
The Bakken Formation is a thin (maximum 145 ft., 44 m), predominantly elastic unit in the subsurface of the Williston Basin in the United States and Canada. The formation consists of two, mostly non-calcareous, grayish-black to brownish-black shales separated by light to dark gray, calcareous and dolomitic siltstone and fine-grained sandstone. The carbonaceous, black shales of the Bakken produce a distinctive geophysical marker and are a major source rock for hydrocarbons in the Williston Basin.
Conodonts were selectively sampled from cores of the Bakken in North Dakota in an effort to determine the age and thermal maturity of the formation. …
Bivalve Associations Of The Cannonball Formation (Paleocene, Danian) Of North Dakota, Rosanne M. Lindholm
Bivalve Associations Of The Cannonball Formation (Paleocene, Danian) Of North Dakota, Rosanne M. Lindholm
Theses and Dissertations
The Cannonball Formation (Paleocene, Danian) is best exposed in southwest-central North Dakota. Here, two major lithotypes, mudstone and sandstone, occur. In this area, the Cannonball can be informally subdivided into four lithologic units: lower (primarily thinly-bedded sandstone and mudstone), lower-middle (sandstone), upper-middle (mudstone), and upper (sandstone). The Cannonball is also exposed in southwestern North Dakota where it occurs as two mudstone tongues (upper and lower).
During July and August, 1982, thirteen Cannonball outcrops were studied. Bivalves, along with other macrofossils, were collected quantitatively in an attempt to determine fossil species dominance. Rock samples were also collected and analyzed for textural …
The Ashern Formation (Middle Devonian) In The Williston Basin, North Dakota, Frederick K. Lobdell
The Ashern Formation (Middle Devonian) In The Williston Basin, North Dakota, Frederick K. Lobdell
Theses and Dissertations
The Ashern Formation (Middle Devonian) is the basal unit of the Kaskaskia Sequence in North Dakota. It unconformably overlies the Interlake Formation (Silurian) and underlies, probably paraconformably, the Winnipegosis Formation (Middle Devonian). The Ashern is present in the northwestern one-half of the state, and attains a maximum thickness of 180 feet (55 meters) The Ashern Formation may be subdivided into a lower red member and an upper gray member. The latter directly overlies the Interlake Formation where the red member is absent. Both members are argillaceous, microcrystalline dolostones containing minor quartz silt. Anhydrite, present in both members, is much more …
Paleohydraulics Of Pleistocene Drainage Development Of The Souris, Des Lacs, And Moose Mountain Spillways, Saskatchewan And North Dakota, Mark L. Lord
Theses and Dissertations
Recent recognition of the rapid draining of numerous glacial lakes, including some in the Northern Plains, has revealed 'a need for further research concerning this process. Geomorphic interpretation of the Souris, Des Lacs, and Moose Mountain Valleys, and the gravel deposits in them, has resulted in the recognition of five phases in the development of the drainageways. Textural analyses and paleohydraulic methods were applied to the sediments associated with each phase to distinguish and characterize the discharges. Four of the five phases of development involved short-lived, high velocity (>4 m/s) discharges resulting from the rapid draining of glacial lakes; …
The Geochemical Evolution Of Saline Groundwater Within A Fresh Water Aquifer South Of Oakes, North Dakota, David L. Williams
The Geochemical Evolution Of Saline Groundwater Within A Fresh Water Aquifer South Of Oakes, North Dakota, David L. Williams
Theses and Dissertations
An area of saline/brackish groundwater south of Oakes, North Dakota has been reported by the North Dakota State Water Commission. The concentrated water (over 12,000 mg/L of total dissolved solids) is in direct hydraulic connection with relatively fresh water and shows an abrupt change in concentration and water chemistry between these two end members. The saline/brackish water is beneath a shallow trough or depression which has an approximate area of 6 square miles (15.5 square kilometres). The trough is within the northern part of the Glacial Lake Dakota plain. Sediments in the lake plain, which is an unconfined aquifer, are …
Depositional Cycles And Coral Distribution, Mission Canyon And Charles Formations, Madison Group (Mississippian), Williston Basin, North Dakota, Douglas L. Waters
Depositional Cycles And Coral Distribution, Mission Canyon And Charles Formations, Madison Group (Mississippian), Williston Basin, North Dakota, Douglas L. Waters
Theses and Dissertations
The distribution of corals, other fossils, and rock types of the Madison Group in the Williston Basin were studied in 29 cores (involving over 6,200 feet of core) from the Bottineau, Tilston, Frobisher-Alida, and Ratcliffe intervals in the western half of North Dakota. Occurrence of rock types, corals, and other fossils (brachiopods, bryozoans, red algae, and gastropods) of the Mission Canyon and lower Charles Formations were plotted in three cross-sections against the informal marker-defined intervals (Tilston, Frobisher-Alida, and Ratcliffe), as identified from well logs. Distribution and abundance of corals in nine of the more extensive cores were related to interpreted …
Tertiary Alkalic Igneous Activity, Potassic Fenitization, Carbonatitic Magmatism, And Hydrothermal Activity In The Central And Southeastern Bear Lodge Mountains, Crook County, Wyoming, Gordon A. Jenner
Theses and Dissertations
The Bear Lodge Mountains are located in Crook County in north eastern Wyoming. The core of the uplift consists of alkalic igneous rocks that range from Early to Late Eocene in age. A petrologic and geochemical study of surface and subsurface samples from the southeastern and central portions of the core reveals a complex history of multiple alkalic igneous events, potassic metasomatism, carbonatitic magmatism, and hydrothermal alteration.
An early episode of alkalic igneous activity is represented by latite and trachyte porphyries, phonolite and trachyte porphyries, and natrolite-garnet syenites and malignites. Throughout much of the complex, the composition of these older …
Depositional Environments And History Of The Winnipeg Group (Ordovician), Williston Basin, North Dakota, Stephen C. Thompson
Depositional Environments And History Of The Winnipeg Group (Ordovician), Williston Basin, North Dakota, Stephen C. Thompson
Theses and Dissertations
The Winnipeg Group (Ordovician) in the Williston Basin, North Dakota, contains three formations. They are, in ascending order, the Black Island Formation, herein informally divided into lower and upper members, the Icebox Formation, and the Roughlock Formation. Strata of the Winnipeg Group (maximum thickness 400 ft., 122 m) represent the initial deposits of a Middle Ordovician craton-wide transgression. Throughout most of North Dakota, the Winnipeg is unconformably underlain by the Deadwood Formation (Upper Cambrian-Lower Ordovician) and conformably overlain by the Red River Formation (Upper Ordovician).
The strata of the lower member of the Black Island Formation consist of a red-bed …
Sedimentology Of The Bullion Creek And Sentinel Butte Formations (Paleocene) In A Part Of Southern Mckenzie County, North Dakota, Brian P. Wallick
Sedimentology Of The Bullion Creek And Sentinel Butte Formations (Paleocene) In A Part Of Southern Mckenzie County, North Dakota, Brian P. Wallick
Theses and Dissertations
The environment of deposition of the Bullion Creek and Sentinel Butte Formations (Paleocene) in western North Dakota has been variously ascribed to lacustrine, meandering fluvial, and deltaic settings. The purpose of this study was to interpret the depositional environments, depositional history, and provenance of the strata in T. 145 and 146 N., R. 102 W., McKenzie County, North Dakota.
A total of 24 stratigraphic sections were measured and described. In addition, paleocurrent data were gathered from primary sedimentary structures, positions of paleochannel outcrops were noted, and samples were collected. Laboratory work consisted of thin-section petrography, scanning electron microscopy, and X-ray …
The Effects Of Seismic Blasting On Shallow Water Wells And Aquifers In Western North Dakota, Frank W. Beaver Jr. P. E.
The Effects Of Seismic Blasting On Shallow Water Wells And Aquifers In Western North Dakota, Frank W. Beaver Jr. P. E.
Theses and Dissertations
Seismographic petroleum exploration throughout North Dakota has generated concern over the effects of blasting on groundwater supplies and wells. A preliminary investigation revealed complaints alleging declining productivity and decreased water quality in regions where coal aquifers are extensively used. Unplugged shotholes were frequently cited as a source of problems.
Experimental results indicate that changes due to blasting occur within long term physical the aquifers rather than in specific water wells. Pumping tests conducted in a sand and coal aquifer system showed no apparent physical effects when shots were detonated one quarter mile away from the pumping wells. Shots 500 feet …
Heavy Minerals Of The Cretaceous Hell Creek And Paleocene Ludlow Formations Of Slope And Bowman Counties, North Dakota, Robert A. Farris
Heavy Minerals Of The Cretaceous Hell Creek And Paleocene Ludlow Formations Of Slope And Bowman Counties, North Dakota, Robert A. Farris
Theses and Dissertations
The Cretaceous Hell Creek and Paleocene Ludlow Formations of southwestern North Dakota are nonmarine sediments of alluvial origin. The heavy minerals of these formations were specifically studied to determine the source rock types and their provenance, and generally assess the diagenetic processes which affected the heavy minerals.
The heavy minerals include zircon, rutile, tourmaline, garnet, ilmenite, spinel, apatite, epidote, sphene, pyroxene, dolomite, biotite, andalusite, pyrite, monazite, and barite. Most of the heavy minerals have angular shapes, indicating one cycle of erosion and deposition.
The heavy mineral percentages of the concretions and surrounding sediments were compared within and between the Hell …
Stratigraphy And Depositional Environments Of The Fox Hills Formation (Upper Cretaceous), Bowman County, North Dakota, Daniel J. Daly
Stratigraphy And Depositional Environments Of The Fox Hills Formation (Upper Cretaceous), Bowman County, North Dakota, Daniel J. Daly
Theses and Dissertations
The sedimentary structures, trace fossils, and lithology of the Upper Cretaceous Fox Hills Formation in Bowman County, North Dakota, were studied during the summer of 1979 and the spring of 1983. Twenty-three stratigraphic sections were measured and described and lithologic samples were collected for textural and mineralogical analysis, also, the major outcrops of the formation in the Dakotas and Montana were visited.
The formation in the study area was previously defined as a 27-mthick sandstone unit, containing three members--ascending, Trail City, Timber Lake, and Colgate--that was conformable with the underlying Pierre and overlying Hell Creek Formations. The Fox Hills, as …
Stratigraphy And Depositional Environments Of The Three Forks Formation (Upper Devonian), Williston Basin, North Dakota, Gayle M. Dumonceaux
Stratigraphy And Depositional Environments Of The Three Forks Formation (Upper Devonian), Williston Basin, North Dakota, Gayle M. Dumonceaux
Theses and Dissertations
The Three Forks Formation (Upper Devonian) is present in the subsurface in the western two-thirds of North Dakota and is generally conformable with the underlying Birdbear Formation and the overlying Bakken Formation.
The Three Forks attains a maximum thickness of 265 feet (81 meters) in the central basin, east and south of the Nesson Anticline, and thins to an erosional edge in eastern North Dakota. The Three Forks is composed of micrite and dolomicrite, which may be fcssiliferous and argillaceous. From the study of core samples and detailed petrographic analysis of thin sections, five lithofacies were recognized and their extent …
Groundwater-Lake Interactions, Wood Lake, Benson County, North Dakota, Lori J. Ferguson
Groundwater-Lake Interactions, Wood Lake, Benson County, North Dakota, Lori J. Ferguson
Theses and Dissertations
Wood Lake is a kettle lake within the McHenry end moraine (late Wisconsinan) in eastern Benson County, North Dakota. It is part of the Devils Lake interior basin, near the drainage divide between the Devils Lake basin and the Big Coulee - Sheyenne River drainage. The moraine deposits, part of the Coleharbor Group, are composed of complexly interfingering lenses of gravel, sand, silt, and clay within the till.
Water levels in piezometers around Wood Lake indicate groundwater flows from the southwest into the west side of the lake and out of the lake along the east shore, toward the northeast. …
Stochastic Estimation Applied To The Land Speed Of Sound Record Attempt By A Rocket Car, David A. Reinholz
Stochastic Estimation Applied To The Land Speed Of Sound Record Attempt By A Rocket Car, David A. Reinholz
Theses and Dissertations
Optimal linear smoothing theory is applied to the data from the Speed of Sound record attempt of a three-wheeled rocket car on 17 December 1979. A forward-backward estimation method is used which employs a seven state forward-running extended Kalman filter and a Meditch-form backward recursive 'fixed-interval' smoothing algorithm. Data for this analysis is supplied by a longitudinal accelerometer mounted on the vehicle and tracking radar measurements of range, azimuth, and elevation. States of interest include two components of vehicle position and velocity, accelerometer time-correlated error, and radar range and azimuth bias errors. Two iterations of the forward-backward smoothing algorithm provide …
Synthesis Gas Conversion With Zs M-5 Supported Ruthenium Catalysts, Robin Elizabeth Young Eaton
Synthesis Gas Conversion With Zs M-5 Supported Ruthenium Catalysts, Robin Elizabeth Young Eaton
Theses and Dissertations
Some bifunctional ZSM-5 supported ruthenium catalysts (Ru/ ZSM-5) were prepared by an extraction technique employing Ru 3(C0)12 • The weight percentage Ru ranged from approximately 1% to 8% Ru as determined by Atomic Absorption Spectroscopy. Characterization data employing Infrared (IR) Spectroscopy, X-ray Powder Diffractometry (XRPD), X-ray Photoelectron Spectroscopy (XPS/ESCA), Ion-Scattering Spectrometry (ISS) and Chemisorption were obtained for the catalysts. The data indicated the presence of highly dispersed Ruo2 particles of less than 60 A on the surface of the as-prepared (AP) catalysts. Calcination of the AP catalysts at 500°C for 24 h increased the particle size of …
A Study Of Sensitive Lands In Provo, Doris R. Monson
A Study Of Sensitive Lands In Provo, Doris R. Monson
Theses and Dissertations
Sensitive lands are being developed in great quantity. Because of problems caused by the development of sensitive lands, Provo City has developed land use ordinances. This thesis examines the development of Provo's ordinances along with the development of its sensitive lands. It determines ways that the city can strengthen their land use ordinances and avoid some of the problems found in sensitive land development.
The Design And Implementation Of A Tutorial Program To Perform Symbolic Mathematics, Richard Derek Otieno
The Design And Implementation Of A Tutorial Program To Perform Symbolic Mathematics, Richard Derek Otieno
Theses and Dissertations
The purpose of this thesis is to design and implement a program that could be used for a drill in symbolic mathematics. The scope of the program with respect to the range of problems that it solves is limited to selected types from elementary algebra, trigonometry, differential calculus, and integral calculus. The program is designed, not only to give solutions (answers), but also to provide several of the intermediate steps leading to the final result.
FORMAC73 and PL/1 are used to implement the program. FORMAC73 is a system and a language for manipulating mathematical expressions, symbolically. The facilities of PL/1 …