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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    2-005-LinearizeItAll-TechniqueNarrative
    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form...

    Keywords: computationerrorTorricelli's Lawdata fittinglinear approximation

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    An Introduction to Statistical Learning: with Applications in R
    This book provides an introduction to statistical learning methods and is aimed for upper level undergraduate students, masters students and Ph.D. students in the non-mathematical sciences.

    Keywords: linear regressiontextbookclassificationcourseclustering coefficientR programming languagestatistical learningmachine learninglogistic regressionresamplingmodel selectionGeneralized additive modelsdecision treesprincipal components analysisMOOCResources @ QUBES - Teaching & Reference

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    Global Temperature Change in the 21st Century (Abstract) | TIEE
    Module for practice included in Teaching Issues and Experiments in Ecology (TIEE) Volume 7

    Keywords: Resources @ ESA - TIEEassessmentclimate changeglobal changeabiotic environment

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    Water We Doing: A Deep Dive Into Sustainable Ocean Management & Blue Economies
    This lesson explores the concept of blue economies and includes a detailing lesson in R that involves basic statistics and building complex graphics.

    Keywords: linear regressionRStudioblue economy

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    Fluoxetine and Crab Behavior: Multiple Linear Regression
    This publication explores the behavioral influence of pharmaceutical pollution on a species of estuarine crab. Fluoxetine is a commonly prescribed, fairly effective anti-depressant and anti-anxiety...

    Keywords: ecologyaquatic ecosystemswater qualitypharmaceutical sciences

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    Aquatic Nutrient Levels and Climate Change
    This learning module was designed to introduce students to the aquatic nutrients nitrogen and phosphorus, their roles in ecosystem function and nutrient pollution, and what impacts climate change...

    Keywords: climate changenitrogenwater resourcesfreshwater systemsEutrophicationwater qualitynutrient pollutionphosphorusdischargeTMDL

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    Doubling Time of Tumors
    This module introduces the calculation of potential doubling time of tumorous cells in the context of understanding the growth of a population of the cells. It is intended for an introductory...

    Keywords: linear regressionRatiosCell StructureOpenStaxCell Growth

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    Amino Acid Frequency
    This module introduces expected frequencies in the context of understanding amino acid composition. It is intended for an introductory biology audience.

    Keywords: Probabilitylinear regressionamino acidsOpenStaxGenetic InformationAminoAmino Acid Freuency

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    Permeability of Molecules
    This module introduces Overton's Rule in the context of understanding the permeability of molecules across the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear regressionPermeabilityCell StructureCell MembraneOpenStaxphospholipid membranelog-log plotsOverton's rule

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    Statistical Exploration of Climate Data
    In this module the students will learn some basic concepts in statistical thinking about data, with emphasis on exploratory data analysis.

    Keywords: modulelinear regressioncase studyclimate datamoving averagesin-class activity

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    2017-Alex_Honchar-Neural Networks For Solving Differential Equations
    In this post I want to show how I applied simple feed-forward NNs to different differential equations with increasing complexity: ODEs, second order ODEs, and, finally, PDEs.

    Keywords: neural networksCybenko theoremdiffusion equationfluid dynamics

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    2004-Mark_McCartney-Using_second-order_ordinary_differential_equations_to_model_traffic_flow
    A simple mathematical model for how vehicles follow each other along a stretch of road is presented. The resulting linear second-order differential equation with constant coefficients is...

    Keywords: differential equationstraffic flowvehicle followsecond order

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    Riverbird distributions and habitat use
    Riverbirds are widespread, use diverse riparian habitats, and respond rapidly to changing conditions. Students can apply riverbird data to evaluate hypotheses about these responses, while gaining...

    Keywords: logistic regressionHabitat selectionRiver Field Studies NetworkWaterfowl raptorkingfisherheronfocal speciesmonitorriverbank

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    5-001-LSD-ModelingScenario
    We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the...

    Keywords: LSDSpanishcompartmentpharmacokineticslysergic acid diethylamide

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    5-010-MatrixExponential-TechniqueNarrative
    The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick...

    Keywords: matrix esponentialPutzer's Algorithmdiagonalizationeigenvalueseigenvectors

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    3-075-RLCCircuits-ModelingScenario
    We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.

    Keywords: resistancecircuitvoltageinductancecapacitancecurrentKirchhoff's Law

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    1-131-CaffeineElimination-ModelingScenario
    We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the...

    Keywords: caffeineeliminationpharmacokineticsdrug

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    2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
    The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.

    Keywords: bindingreactionchemical kineticsdeterministicBiochem Labsprobabilistickinetic reaction

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    Diffusion Through a Cell Membrane
    This module introduces rates of diffusion in the context of understanding simple and facilitated diffusion through the cell membrane. It is intended for an introductory biology audience.

    Keywords: linear equationscalculushyperbolic equationsCellular Processesrates of change

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