Topics: soil microorganism, carbon cycle, cellulose decomposition, hemicellulose decomposition, lignin decomposition, nitrogen cycle, nitrogen fixation, Nitrogen fixing bacteria, nitrification, denitrification

Topics: Soil microorganisms, carbon cycle, cellulose decomposition, hemicellulose decomposition, lignin decomposition, nitrogen cycle, ammonification, nitrogen fixation, Free-living nitrogen fixing-bacteria, symbiotic Nitrogen-fixing bacteria, proteolysis, nitrification, denitrification

Topics: kinetic theory of matter, diffusion, compounds, experimental techniques, elements, separating mixtures, gels, sols, foams, emulsions, atomic structure, atomic bonding, Ionic bonding, covalent bonding, glasses, ceramics, metallic bonding, Stoichiometry, chemical calculations, relative atomic mass, reacting masses, calculating masses, moles, chemical equations, electricity, electrolysis, electroplating, chemical energetics, fossil fuels, chemical energy, cells, batteries, chemical reactions, enzymes, acid, base, alkalis, salt formation, crystal hydrates, salt solubility, titration, periodic table, Alkali metal, alkaline earth metals, halogens, noble gases, transition elements, metal, metal reactions, metal nitrate decomposition, metal carbonate decomposition, metal oxide decomposition, metal reactivity, metal waste, rusting of iron, air, water, ammonia, artificial fertilizer, water cycle, water hardness, sulfur, sulfur dioxide, sulfuric acid, inorganic carbon chemistry, limestone, carbonates, carbon dioxide, organic chemistry, alkanes, alkenes, Biotechnology, alcohols, Carboxylic acids, soaps, detergents, Condensation polymers, biopolymers, Pharmaceuticals, Experimental chemistry

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: Business Forecasting, Linear Regression Model, Linear Model, Single-equation Regression Models, Distributed Lags, Dummy Variables, Nonlinear Regressions, Equation Stability, Equation Robustness, Smoothing Data, Time-series Decomposition Model, Linear Trends, Nonlinear Trends, Univariate Time-series Modeling, ARMA Model, Sales Forecasting, Long-term Forecasting, Macroeconomic Forecasting, Macroeconomic Model

Topics: population, expansive population pyramids, stationary population pyramids, population pyramid, population size, population density, population abundance, population growth, community, ecosystem, energy flow, decomposition, nutrient cycling, biodiversity, environment, ecological niche

Topics: algebraic structures, matrix, echelon form, Gaussian elimination, linear system, vector space, linear map, linear form, bilinear form, Euclidean vector space, unitary vector space, eigenvalue, endomorphism, polynomials, theory of algebra, cyclic subspace, duality, Jordan canonical form, matrix function, singular value decomposition, Kronecker product, linear matrix

Topics: Carbon-oxygen cycle, photosynthesis, chloroplast, chlorophyll, respiration, catabolism, Electron transport chain, combustion, decomposition, nitrogen cycle, nitrogen fixation, anabolic pathways, amino acid, proline, Nucleotide biosynthesis, purine nucleotides, pyrimidine synthesis, fatty acids synthesis

Topics: Sudden Natural Death, Substance Abuse, Poisoning, Postmortem Change, Time of Death, Pediatric Forensic Pathology, Blunt-Force Injuries, Sharp-Force Injuries, Gunshot Wounds, Burns, asphyxia, Forensic Photography, Heart Disease, Vascular Disease, drugs, poison, Early Postmortem Changes, Decomposition, Wound Dimension, Adjacent Abrasions, Contusions, Injured Organs, Shotgun Wounds, Evidence Recovery, Midrange Photograph, Autopsy Photography, Photographing Bodies, Scene Photography

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method