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2005

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Articles 4501 - 4530 of 5573

Full-Text Articles in Physical Sciences and Mathematics

Use Of Raman Spectroscopy In The Investigation Of Debundling Of Single Walled Carbon Nanotubes, Elizabeth Gregan, Sinead Keogh, Theresa Hedderman, Gordon Chambers, Hugh Byrne Jan 2005

Use Of Raman Spectroscopy In The Investigation Of Debundling Of Single Walled Carbon Nanotubes, Elizabeth Gregan, Sinead Keogh, Theresa Hedderman, Gordon Chambers, Hugh Byrne

Conference papers

Samples of raw nanotubes are compared to those deposited from solutions to examine separation of nanotube bundles. Single wall nanotubes bundles produced by the arc-discharge and HiPco methods were solubilised in toluene, DMF and 1,2 dichloroethane. Resonant Raman spectroscopy was used to determine if debundling of the tubes sample occurred. The results showed some degree of debundling, best for the 1,2 dichloroethane solvent, which also shows long term solubility.


Vibrational Coupling In Conjugated Π Systems With A View To Optimization Of Fluorescence Yield Through Phonon Confinement, Luke O'Neill, Patrick Lynch, Mary Mcnamara, Hugh Byrne Jan 2005

Vibrational Coupling In Conjugated Π Systems With A View To Optimization Of Fluorescence Yield Through Phonon Confinement, Luke O'Neill, Patrick Lynch, Mary Mcnamara, Hugh Byrne

Conference papers

A series of π conjugated systems were studied by absorption, photoluminescence and vibrational spectroscopy. As is common for these systems, a linear relationship between the positioning of the absorption and photoluminescence maxima plotted against inverse conjugation length is observed. The relationships are in good agreement with the simple particle in a box method, one of the earliest descriptions of the properties of one-dimensional organic molecules. In addition to the electronic transition energies, it was observed that the Stokes shift also exhibited a well-defined relationship with increasing conjugation length, implying a correlation between the electron-vibrational coupling and chain length. This correlation …


Linear Electronic And Optical Processes In Fullerene Thin Films, Jonathan Moghal, Naomi Brant, Siobhan Phelan, Hugh Byrne, Gordon Chambers Jan 2005

Linear Electronic And Optical Processes In Fullerene Thin Films, Jonathan Moghal, Naomi Brant, Siobhan Phelan, Hugh Byrne, Gordon Chambers

Conference papers

The electrical properties of C60 have been extensively studied in both the solid and solution phases. The vibrational spectroscopy of C60 is predominantly molecular in character. However electronic spectroscopy reveals features, which are specific to the solid. These features have been attributed to intermolecular charge transfer states. The relative importance of these inter – and intramolecular processes in terms of their contribution to the electronic transport is discussed. Cyclic voltammetry is employed to generate charged molecular species, which also contribute to the conduction process and comparisons to optical excited states species are drawn. The cyclic voltammetry was monitored in situ …


Temperature Dependent Spectroscopic Studies Of Hipco Swnt Composites, Sinead Keogh, Theresa Hedderman, Garrett Farrell, M Ruether, Elizabeth Gregan, Mary Mcnamara, Gordon Chambers, Hugh Byrne Jan 2005

Temperature Dependent Spectroscopic Studies Of Hipco Swnt Composites, Sinead Keogh, Theresa Hedderman, Garrett Farrell, M Ruether, Elizabeth Gregan, Mary Mcnamara, Gordon Chambers, Hugh Byrne

Articles

No abstract provided.


Efficacy Of Innovative Anti-Microbial Decontamination Of Minimally Processed Vegetables, Christina Busquets I Tortosa Jan 2005

Efficacy Of Innovative Anti-Microbial Decontamination Of Minimally Processed Vegetables, Christina Busquets I Tortosa

Masters

Chlorine has widespread use commercially as a disinfectant wash for raw vegetables. However, it is an extremely corrosive gas and it may have severe health and environmental implications. The aim of this thesis was to find safe, alternative decontamination treatments for ready-to-eat Iceberg lettuce. The efficacy of 1% acetic acid, 2% citric acid; calcium lactate concentrations of 0.5%, 1.5%, 2.5% and 3% at wash temperature of 4,25 and 50°C, ozone alone (1 mg 1-1) and in combination with calcium lactate (2.5%) were compared with chlorine as decontaminating treatments. Microbiological analyses were performed following decontamination treatments using the pour plate method …


Gila Box Area: Gila Box Riparian National Conservation Area, And The Fishhooks And Needle's Eye Wilderness Areas, Douglas S. Kenney, Doug Cannon, University Of Colorado Boulder. Natural Resources Law Center Jan 2005

Gila Box Area: Gila Box Riparian National Conservation Area, And The Fishhooks And Needle's Eye Wilderness Areas, Douglas S. Kenney, Doug Cannon, University Of Colorado Boulder. Natural Resources Law Center

Books, Reports, and Studies

23 p. : ill., map


Geomechanics Applied To Reservoir Development In The Coso Geothermal Field, Andrew J. Nygren Jan 2005

Geomechanics Applied To Reservoir Development In The Coso Geothermal Field, Andrew J. Nygren

Theses and Dissertations

The Coso geothermal field is located approximately 220 kilometers north of Los Angeles, CA. In 2002, a project began to develop the east flank of the Coso geothermal field into an enhanced geothermal system (EGS); in such a system water is injected via injection well(s) into hot dry basement rock through naturally occurring or stimulated fractures. The injected water gathers heat from the reservoir rock before being extracted for direct use or energy production. To develop such a reservoir, adequate understanding of the reservoir geomechanics is necessary. This thesis investigates the state of stress and rock fractures, the existing permeable …


Development Of An Electronic Data Collection And Analysis System For The Mexican Fine Arts Center Museum, John Wietholder, Linton Myers Jan 2005

Development Of An Electronic Data Collection And Analysis System For The Mexican Fine Arts Center Museum, John Wietholder, Linton Myers

Regis University Student Publications (comprehensive collection)

The Mexican Fine Arts Center Museum (MFACM) in Chicago, Illinois has a large list of patrons. However, it currently utilizes an outdated database and paperbased system to track these individuals for marketing and membership purposes. A grant has been received from the Lila Wallace Foundation to streamline the data collection and analysis processes. The current goals are to increase the productivity of collecting data throughout MFACM departments and locations, to more fully analyze available data for marketing opportunities, and to create a replicable and sustainable data collection and reporting system. Further, the solution will help to build upon current IT …


Monsoon-Driven Biogeochemical Processes In The Arabian Sea, Jerry D. Wiggert, Raleigh Hood, Karl Banse, John Kindle Jan 2005

Monsoon-Driven Biogeochemical Processes In The Arabian Sea, Jerry D. Wiggert, Raleigh Hood, Karl Banse, John Kindle

Faculty Publications

Although it is nominally a tropical locale, the semiannual wind reversals associated with the Monsoon system of the Arabian Sea result annually in two distinct periods of elevated biological activity. While in both cases monsoonal forcing drives surface layer nutrient enrichment that supports increased rates of primary productivity, fundamentally different entrainment mechanisms are operating in summer (Southwest) and winter (Northeast) Monsoons. Moreover, the intervening intermonsoon periods, during which the region relaxes toward oligotrophic conditions more typical of tropical environments, provide a stark contrast to the dynamic biogeochemical activity of the monsoons. The resulting spatial and temporal variability is great and …


Novel Cyanine-Amp Conjugates For Efficient 5' Rna Fluorescent Labeling By One-Step Transcription And Replacement Of [γ-32P] Atp In Rna Structural Investigation, Na Li, Changjun Yu, Faqing Huang Jan 2005

Novel Cyanine-Amp Conjugates For Efficient 5' Rna Fluorescent Labeling By One-Step Transcription And Replacement Of [γ-32P] Atp In Rna Structural Investigation, Na Li, Changjun Yu, Faqing Huang

Faculty Publications

Two novel fluorescent cyanine-AMP conjugates, F550/570 and F650/670, have been synthesized to serve as transcription initiators under the T7 φ2.5 promoter. Efficient fluorophore labeling of 5′ RNA is achieved in a single transcription step by including F550/570 and F650/670 in the transcription solution. The current work makes fluorescently labeled RNA readily available for broad applications in biochemistry, molecular biology, structural biology and biomedicine. In particular, site-specifically fluorophore-labeled large RNAs prepared by the current method may be used to investigate RNA structure, folding and mechanism by various fluorescence techniques. In addition, F550/570 and F650/670 may replace [γ-32P]ATP to prepare …


Site Fidelity, Home Range, And Daily Movements Of White Perch, Morone Americana, And Striped Bass, Morone Saxatilis, In Two Small Tributaries Of The York River, Virginia, Patrick E. Mcgrath Jan 2005

Site Fidelity, Home Range, And Daily Movements Of White Perch, Morone Americana, And Striped Bass, Morone Saxatilis, In Two Small Tributaries Of The York River, Virginia, Patrick E. Mcgrath

Dissertations, Theses, and Masters Projects

Striped bass (Morone saxatilis) and white perch (M. americana) are two common species residing within Chesapeake Bay and its tributaries. These congeners are both commercially and recreationally important species. White perch are permanent residents in the Bay, while striped bass are only residents during the first few years of their life. During these initial years, striped bass co-occur with white perch. There is very little known about white perch and resident striped bass site fidelity and home range. This acoustic tagging study aims to examine site fidelity and home range of both species and determine if there is any spatial …


Physical Response Of The York River Estuary To Hurricane Isabel, L. H. Brasseur, A. C. Trembanis, J. M. Brubaker, Carl T. Friedrichs Jan 2005

Physical Response Of The York River Estuary To Hurricane Isabel, L. H. Brasseur, A. C. Trembanis, J. M. Brubaker, Carl T. Friedrichs

VIMS Books and Book Chapters

After making landfall on the North Carolina coast on the morning of 18 September 2003, Category 2 Hurricane Isabel tracked northward parallel to and slightly west of the Chesapeake Bay. At Gloucester Point, near the mouth of the York River estuary, strong onshore winds with speeds in excess of 20 m⋅s-1 persisted for over 12 hours and peak winds reached over 40 m⋅s-1, causing a sustained up-estuary wind stress. Storm surge exceeded 2 m throughout most of the lower Chesapeake Bay. A 600 kHz acoustic Doppler current profiler (ADCP), deployed at a depth of 8.5 m off Gloucester Point, provided …


Effects Of Hurricanes On Atlantic Croaker (Micropogonias Undulatus) Recruitment To Chesapeake Bay, M. M. Montane, H. M. Austin Jan 2005

Effects Of Hurricanes On Atlantic Croaker (Micropogonias Undulatus) Recruitment To Chesapeake Bay, M. M. Montane, H. M. Austin

VIMS Books and Book Chapters

Few studies have focused on the effects of climatic perturbations, such as hurricanes, on finfish recruitment and behavior. The Virginia Institute of Marine Science (VIMS) Trawl Survey has sampled continuously throughout the Virginia portion of Chesapeake Bay for 50 years. While hurricanes have impacted Chesapeake Bay during this time, three periods of hurricane activity— September and November 1985 (hurricanes Gloria and Juan), September 1989 (Hurricane Hugo), and September 2003 (Hurricane Isabel)—coincided with the largest spikes in juvenile recruitment of Atlantic croaker (Micropogonias undulatus) for half a century. The fall (October–December) croaker young-of-year indices for 1985, 1989, and 2003 were seven, …


Impacts Of Tropical Cyclone Isabel On Shallow Water Quality Of The York River Estuary, W. G. Reay, Ken Moore Jan 2005

Impacts Of Tropical Cyclone Isabel On Shallow Water Quality Of The York River Estuary, W. G. Reay, Ken Moore

VIMS Books and Book Chapters

Water quality impacts from Tropical Cyclone Isabel on the York River estuary were assessed based on long-term, near-continuous, shallowwater monitoring stations along the York River proper (poly- and mesohaline regimes) and its two tidal tributaries—the Mattaponi and Pamunkey rivers (oligohaline and tidal freshwater regimes). Regional rainfall from 18 to 19 September 2003 ranged from 5.8 to 11.7 cm. Peak mean daily stream flow occurred on 21 September 2003 and represented a 20- and 30-fold increase over prestorm conditions on the Mattaponi and Pamunkey rivers, respectively. Isabel produced a storm surge of 1.7 m near the mouth of the estuary and …


Simulation Of Hurricane Isabel Using The Advanced Circulation Model (Adcirc), Jian Shen, W. Gong, Harry V. Wang Jan 2005

Simulation Of Hurricane Isabel Using The Advanced Circulation Model (Adcirc), Jian Shen, W. Gong, Harry V. Wang

VIMS Books and Book Chapters

Hurricane Isabel made landfall near Drum Inlet, about 240 km south of the Chesapeake Bay mouth, on the Outer Banks of North Carolina at 17:00 UTC (GMT 12:00), 18 September 2003. Hurricane Isabel is considered one of the most significant tropical cyclones to affect portions of northeastern North Carolina and east-central Virginia. The ADvanced CIRCulation Model (ADCIRC) model was applied to the Chesapeake Bay to simulate Hurricane Isabel. High-resolution grids were placed inside the Bay and tributaries; coarse grids were placed outside the Bay. The spatial grid resolution in the Bay mainstem is about 200–1000 m and the spatial grid …


Geologic Framework And Groundwater Occurrence (Kimball County, Nebraska), Robert F. Diffendal Jr. Jan 2005

Geologic Framework And Groundwater Occurrence (Kimball County, Nebraska), Robert F. Diffendal Jr.

Robert F. Diffendal, Jr., Publications

Geologic Framework

All of Kimball County is part of the Cheyenne Tablelands, a largely constructional part of the High Plains underlain primarily by sediments transported from the Rocky Mountains and deposited on the developing tablelands. Quaternary fluvial erosion cut away parts of the tablelands producing the valleys of Lodgepole Creek and its tributaries. The oldest rocks exposed in Kimball County belong to the upper part of the Brule Formation, youngest formation of the White River Group of rocks. The Brule Formation is Oligocene in age and was deposited from about 35 to 29 million years ago. The Brule Formation underlies …


The Journal Of Undergraduate Research: Volume 03 Jan 2005

The Journal Of Undergraduate Research: Volume 03

The Journal of Undergraduate Research

This is the complete issue of the South Dakota State University Journal of Undergraduate Research, Volume 3.


Determination Of Trifluoroacetate By Ion Chromatography For Snow And Ice Analysis, Jon Hanson Jan 2005

Determination Of Trifluoroacetate By Ion Chromatography For Snow And Ice Analysis, Jon Hanson

The Journal of Undergraduate Research

Trifluoroacetic acid (TEA) is a product of the atmospheric degradation of hydrochlorofluorocarbons (HCFCs) and hydrofluorocarbons (HFCs). HCFCs and HFCs are widely used substitutes for chlorofluorocarbons (CFCs) that have been found to contribute to the loss of stratospheric ozone. Deposits of TEA with precipitation (rain and snow) can lead to its presence and accumulation in the aquatic and cryosphere environments, with unknown long-term environmental consequences. Investigation on TEA impact and its fate in the environment requires sensitive, accurate, and fast analytical methods. The determination of trace concentrations of TEA using the technique of ion chromatography (IC) is investigated in this study, …


Quantifying Savings From Improved Boiler Operation, Kevin Carpenter, J. Kelly Kissock Jan 2005

Quantifying Savings From Improved Boiler Operation, Kevin Carpenter, J. Kelly Kissock

Mechanical and Aerospace Engineering Faculty Publications

On/off operation and excess combustion air reduce boiler energy efficiency. This paper presents methods to quantify energy savings from switching to modulation control mode and reducing excess air in natural gas fired boilers.

The methods include calculation of combustion temperature, calculation of the relationship between internal convection coefficient and gas flow rate, and calculation of overall heat transfer assuming a parallel-flow heat exchanger model. The method for estimating savings from changing from on/off to modulation control accounts for purge and drift losses through the boiler and the improved heat transfer within the boiler due to the reduced combustion gas flow …


Front Matter Jan 2005

Front Matter

Journal of the Iowa Academy of Science: JIAS

No abstract provided.


Back Cover Jan 2005

Back Cover

Journal of the Iowa Academy of Science: JIAS

No abstract provided.


Quantification And Prediction Of Stream Dryness In The Interior Highlands, Justin M. Homan, Nicholas M. Girondo, Charles J. Gagen Jan 2005

Quantification And Prediction Of Stream Dryness In The Interior Highlands, Justin M. Homan, Nicholas M. Girondo, Charles J. Gagen

Faculty Publications - Biological Sciences

Although ecological studies have noted streams drying in the Interior Highlands, published measurements of streambed dryness are lacking. Clearly, stream drying has the potential to affect benthic macroinvertebrate and fish communities. In 2003, we initiated an assessment of streambed dryness for three streams in the Ouachita Mountains representative of the Central Hills, Ridges, and Valleys. In the following summer, we applied the approach to 15 similar size watersheds in three distinct ecoregions of the Interior Highlands: Ouachita Mountains-Athens Plateau, Ozark Highlands-Springfield Plateau, and Lower Boston Mountains. Repeated dryness measurements were recorded in each stream and correlated to nearby USGS stream …


Response Of Sagebrush Steppe Species To Elevated Co2 And Soil Temperature, Melissa S. Lucash, Blake Farnsworth, William E. Winner Jan 2005

Response Of Sagebrush Steppe Species To Elevated Co2 And Soil Temperature, Melissa S. Lucash, Blake Farnsworth, William E. Winner

Environmental Science and Management Faculty Publications and Presentations

Elevated atmospheric CO2 may cause long-term changes in the productivity and species composition of the sagebrush steppe. Few studies, however, have evaluated the effects of increased CO2 on growth and physiology of species important to this ecosystem. Since the response of plants to elevated CO2 may be limited by environmental factors, soil temperature was also examined to determine if low soil temperatures limit CO2 response. To determine how CO2 and soil temperature affect the growth of species native to the sagebrush steppe, bottlebrush squirreltail [Elymus elymoides (Raf.) Swezey], Thurber needlegrass (Stipa thurberiana Piper), …


An Application Of Combinatorial Methods, Yingying Yang Jan 2005

An Application Of Combinatorial Methods, Yingying Yang

Theses and Dissertations

Probability theory is a branch of mathematics concerned with determining the long run frequency or chance that a given event will occur. This chance is determined by dividing the number of selected events by the number of total events possible, assuming these events are equally likely. Probability theory is simply enumerative combinatorial analysis when applied to finite sets. For a given finite sample space, probability questions are usually "just" a lot of counting. The purpose of this thesis is to provide some in depth analysis of several combinatorial methods, including basic principles of counting, permutations and combinations, by specifically exploring …


Measuring Community Consensus In Facial Characterization Using Spatial Databases And Fuzzy Logic, James Lee Mastros Jan 2005

Measuring Community Consensus In Facial Characterization Using Spatial Databases And Fuzzy Logic, James Lee Mastros

Theses and Dissertations

Spatial databases store geometric objects and capture spatial relationships that can be used to represent key features of the human face. One can search spatial databases for these objects, and seek the relationships between them, using fuzzy logic to provide a natural way to describe the human face for the purposes of facial characterization. This study focuses on community perception of short, average, or long nose length. Three algorithms were used to update community opinion of nose length. All three methods showed similar trends in nose length classification which could indicate that the effort to extract spatial data from images …


Fuzzy Membership Function Initial Values: Comparing Initialization Methods That Expedite Convergence, Stephanie Scheibe Lee Jan 2005

Fuzzy Membership Function Initial Values: Comparing Initialization Methods That Expedite Convergence, Stephanie Scheibe Lee

Theses and Dissertations

Fuzzy attributes are used to quantify imprecise data that model real world objects. To effectively use fuzzy attributes, a fuzzy membership function must be defined to provide the boundaries for the fuzzy data. The initialization of these membership function values should allow the data to converge to a stable membership value in the shortest time possible. The paper compares three initialization methods, Random, Midpoint and Random Proportional, to determine which method optimizes convergence. The comparison experiments suggest the use of the Random Proportional method.


Stm Studies Of Oxygen Etching Of Silicon Surfaces, Mary L. Willis Jan 2005

Stm Studies Of Oxygen Etching Of Silicon Surfaces, Mary L. Willis

Theses and Dissertations

This study uses atomic force microscopy (AFM) to investigate the oxygen etching behavior of the following silicon surface orientations: (001), (111), (113), (5 5 12) and (112). Most etching was performed at sample temperatures between 650 °C and 800 °C, at pressures of 3.3×10-7 and 1.5×10-7 Torr, and at an exposure of 200 L. Surface orientation strongly influences the morphology resulting from extended etching. The surface orientations that are stable against etching and remain flat include Si(001), Si(111), and Si(113). Such surfaces also include island structures, which result from etching around oxide-induced pinning sites. The density of these islands increases …


The Subsystems Approach To Genome Annotation And Its Use In The Project To Annotate 1000 Genomes, Ross Overbeek, Tadhg Begley, Ralph M. Butler, Jomuna V. Choudhuri, Han-Yu Chuang, Matthew Cohoon, Valérie De Crécy-Lagard, Naryttza Diaz, Terry Disz, Robert Edwards, Michael Fonstein, Ed D. Frank, Svetlana Gerdes, Elizabeth M. Glass, Alexander Goesmann, Andrew Hanson, Dirk Iwata-Reuyl, Roy Jensen, Neema Jamshidi, Lutz Krause, Michael Kubal, Niels Larsen, Burkhard Linke, Alice C. Mchardy, Folker Meyer, Heiko Neuweger, Gary Olsen, Robert Olson, Andrei Osterman, Vasiliy Portnoy, Gordon D. Pusch, Dmitry A. Rodionov, Christian Rückert, Jason Steiner, Rick Stevens, Ines Thiele, Olga Vassieva, Yuzhen Ye, Olga Zagnitko, Veronika Vonstein Jan 2005

The Subsystems Approach To Genome Annotation And Its Use In The Project To Annotate 1000 Genomes, Ross Overbeek, Tadhg Begley, Ralph M. Butler, Jomuna V. Choudhuri, Han-Yu Chuang, Matthew Cohoon, Valérie De Crécy-Lagard, Naryttza Diaz, Terry Disz, Robert Edwards, Michael Fonstein, Ed D. Frank, Svetlana Gerdes, Elizabeth M. Glass, Alexander Goesmann, Andrew Hanson, Dirk Iwata-Reuyl, Roy Jensen, Neema Jamshidi, Lutz Krause, Michael Kubal, Niels Larsen, Burkhard Linke, Alice C. Mchardy, Folker Meyer, Heiko Neuweger, Gary Olsen, Robert Olson, Andrei Osterman, Vasiliy Portnoy, Gordon D. Pusch, Dmitry A. Rodionov, Christian Rückert, Jason Steiner, Rick Stevens, Ines Thiele, Olga Vassieva, Yuzhen Ye, Olga Zagnitko, Veronika Vonstein

Chemistry Faculty Publications and Presentations

The release of the 1000th complete microbial genome will occur in the next two to three years. In anticipation of this milestone, the Fellowship for Interpretation of Genomes (FIG) launched the Project to Annotate 1000 Genomes. The project is built around the principle that the key to improved accuracy in high through put annotation technology is to have experts annotate single subsystems over the complete collection of genomes, rather than having an annotation expert attempt to annotate all of the genes in a single genome. Using the subsystems approach, all of the genes implementing the subsystem are analyzed by …


Electronic To Vibrational Energy Transfer From Cl* (3 2P1/2) To N2O(Ν1): Failure Of A Simple Kinetic Mechanism, Brian Brumfield Jan 2005

Electronic To Vibrational Energy Transfer From Cl* (3 2P1/2) To N2O(Ν1): Failure Of A Simple Kinetic Mechanism, Brian Brumfield

Browse all Theses and Dissertations

Experimental kinetic studies were carried out examining the electronic to vibrational (E-V) energy transfer from spin-orbit excited Cl*(3 2P1/2 , 882 cm-1) to N2O(ν1) (symmetric stretch 1285 cm-1). All studies were carried out in the gas phase at room temperature (298 ± 2 K). Cl* was generated by pulsed laser photolysis of ICl at 532 nm in the presence of various mixtures of N2O, ICl,Ar, and SO2. Time-resolved IR signals of N2O(ν1) fluorescence at 7.8 μm were analyzed to obtain rate coefficients …


Pattern Recognition Via Machine Learning With Genetic Decision-Programming, Carl C. Hoff Jan 2005

Pattern Recognition Via Machine Learning With Genetic Decision-Programming, Carl C. Hoff

Browse all Theses and Dissertations

In the intersection of pattern recognition, machine learning, and evolutionary computation is a new search technique by which computers might program themselves. That technique is called genetic decision-programming. A computer can gain the ability to distinguish among the things that it needs to recognize by using genetic decision-programming for pattern discovery and concept learning. Those patterns and concepts can be easily encoded in the spines of a decision program (tree or diagram). A spine consists of two parts: (1) the test-outcome pairs along a path from the program's root to any of its leaves and (2) the conclusion in that …