Charles Hoots
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Charles Hoots
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Curriculum Vitae
II. Teaching
Mathematics
2D Harmonic Functions
2D Wave Equation
3D Wave Equation
A Variant of the Heat Equation on the First Quadrant
Abel's Summability
Absolute Convergence of Double Series
Absolute Convergence Test and Properties
Abstract Simplicial Complexes
Accelerating Convergence for Iterative Methods
Additive Functions
Adjoint Operators and Matrices
Affine Spaces of Rn
Algebraic Topology
Alternating Tensor Algebra
Analytic Functions
Analytic Number Theory
Ancillary Statistic
Angular Momentum in Classical Mechanics
Applications of Fourier Series in a Mathematical Context
Approximations of the Riemann Integral in R
Arc-Length Integral in C
Argument Principle
Arithmetic of Cardinal Numbers
Arithmetic of Natural Numbers
Artin-Schreier Extensions
Arzelà–Ascoli Theorem
Asymptotic notation
Automorphism Group of a Covering Map
Automorphism Group of a Field Extension
Autonomous Differential Equations
Bases and Dimension
Basics to Algorithms
Bayesian Approach to Hypothesis Test
Bayesian Approach to Interval Estimation
Berlekamp's Factorisation Algorithm
Bernstein Polynomials
Bessel Functions
Beta Distribution
Beta Function
Biholomorphism
Bilinear Forms
Binary Relations
Binomial Coefficients
Binomial Distribution
Bisection Method
Black-Scholes equation
Boolean Equations for Digital Circuits
Bounded Function Spaces
Bézout Domains
Cardinal Functions of Topological Spaces
Category Theory
Cauchy Principal Value in R
Cauchy's Integral Formula
Cauchy's Theorem Consequences
Cauchy's Theorem Local Version
Cauchy-Euler Differential Equation
Collectionwise Hausdorff spaces
Combinational Building Blocks for Digital Circuits
Commutator Subgroup
Compact Operators
Compact Sets in R
Compactly Generated
Compactly Supported de Rham Cohomology
Compactness
Connected Sets in Rn
Content
Context-Free Grammars and Parsing
Continuity on R
Continuous Actions of Groups
Continuous Distributions
Continuous Function Spaces
Convergence of Fourier Series
Convergence of Measurable Functions
Convergence of Nets
Convergence of Random Variables
Countable paracompactness
Covector Fields on Smooth Manifolds
Covering Maps
Covering Space Actions
Cubes in Rn
Cyclic Groups
Cyclotomic Polynomials and Extensions
Damped Oscillations in Classical Mechanics
Darboux Sums in Rn
Dedekind Psi Function
Definitions for Classical Umbral Calculus
Derivations
Determination of Equilibrium Output
Differentiabilty of vector valued functions of R
Differentiablity of Real valued functions of Rn
Differential Forms on Smooth Manifolds
Differential Geometry
Eigenvectors and Upper Triangular Matrices
ellp spaces
Existence and Uniqueness of Solutions to Systems of Differential Equations
Existence of Maximums and Minimums of Functions on Metric Spaces
Existence of Solutions of First Order Differential Equations
Expected Value of Random Variables
Expected Value, and Covariance of Random Vectors
Exponential Distribution
Extension of Measures
Exterior Algebra of Multicovectors
Exterior Algebra of Vector Spaces
Extrema of a Differentiable Functions on Manifolds
F-distribution
Falling and Rising Factorials and Pochhamer Symbols
Feedforward Neural Networks
Fermat's Little Theorem
Fibre Bundles on Smooth Manifolds
Field Extensions
Field Theory
Filters and Ideals
Finite Abelian Groups
Finite and Countable Sets
Finite Fields
First Order Differential Equations
First Order Linear Differential Equations
Fixed Point Iteration
Free Groups
Fundamental Group of the Circle
Fundamental Matrices for Linear System of Differential Equations
Fundamental Theorems in Functional Analysis
Gamma Function
Gauss's Theorem and Divergence in R3
General Linear Group
Generalised Likelihood Ratio
Generation of Continuous Random Variables
Group Extensions
Group Theory
Groups
Gâteaux Derivative
Integration of Differential Forms on Smooth Manifolds
Isometries in Vector Spaces
Jacobi Symbols
Jordan Measure
Lie Group Actions
Limit Point Compactness
Limit Theorems of Probability
Limits and Continuity of Vector Valued Functions of R
limsup and liminf
Line Integral over a Vector Field
Line Integrals of Differential 1-forms
Mathematics
Mayer-Vietoris Theorem for Singular Homology
Mean Value Theorem for Fréchet Derivatives
Measurable Functions
Measure Theory
Measures
Metacompactness
Normal and Galois Closure of a Field Extension
Normal Families of Functions in C
Normal Hausdorff Spaces
Notes
nth Order Linear Differential Equations
Null Space and Range
Open and Closed Sets in R
Operations and Structures
Product of Vector Spaces
Real Numbers
Real Projective Space
Rectifiable Curves in Rn
Rectifiable Curves
Regular expressions
Regular Hausdorff spaces
Regular Open and Closed Sets
Riemann Integral in R
Riemann Integral in Rn
Riemann-Steiltjes Integral on R
Riemannian Metrics on Smooth Manifolds
Tests for Pseudo-random numbers
The Heat Equation on Euclidean space
The Heat Equation on the Real line
The Riemann Sphere
The Tensor Bundles
The Wave equation
The Zigzag Lemma
Time-Dependent Vector Fields and Flows
Vibrations
Physics
Angular Acceleration
Angular Displacement
Angular Frequency & Period
Angular Momentum
Angular Speed
Angular Velocity
Center of Mass Acceleration
Center of Mass Displacement
Center of Mass Dynamics
Center of Mass Velocity & Momentum
Center of Mass
Centrifugal Force
Centripetal Acceleration
Centripetal Force
Conservation of Momentum
Displacement
Distance
External & Internal Forces
Forces
Frames of Reference
Gravitational Potential Energy
Impulse-Momentum Theorem
Impulse
Kinetic Friction
Kinetic Potential Energy & Work-Energy Theorem
Linear Momentum
Moment of Inertia
Newton Laws
Physics
Rolling Motion With No Slipping
Rotational Kinematics
Rotational Kinetic Energy & Work-Energy Theorem
Rotational Work
Static Friction
Torque
Uniform Circular Motion
Work
Terminology
' P'N '
' P'z-P' '
' P-primeS-prime '
' P-star'
' PcP '
' Period (wave) '
' Pg '
' PKIIKP '
' PKiKP '
' PKIKP, (or P'', PKPDF) '
' PKJKP '
' PKKPdf '
' PKKPpre '
' PKKS '
' PKNIKP '
' PKPab '
' PKPbc '
' PKSbc '
' PmKP (m=3,4,...) '
' PmP '
' PmPN '
' pmPy '
' Pn '
' PNKP '
' Point Force '
' Point Source '
' Poisson Distribution '
' Poisson Solid '
' pP '
' PP or PPP '
' pPP '
' Preshock '
' pS '
' pSy '
' pwPy '
' Pz-P '
' Pz-plus-S '
' R1, R2 '
' Random Vibration Theory '
' Ray Theory '
' Rayleigh Waves '
' Rayleigh–Taylor instability '
' Recurrence Interval '
' Reflection '
' Reflector '
' Residual '
' Response '
' Response Spectrum '
' Rigidity '
' rx '
' S wave '
' S'z-S' '
' S-diff (or Sc) '
' S-primeP '
' S-primeP-prime '
' safe shutdown earthquake '
' ScP '
' ScSN '
' ScSP '
' ScSS' '
' Sdif '
' seiche '
' seismic discontinuity '
' seismic gap '
' seismic impedance '
' seismic moment '
' seismic moment tensor '
' seismic reflection or refraction line '
' seismic risk '
' seismic wave '
' seismic zonation '
' seismicity '
' seismometer or seismograph '
' seismoscope '
' seismotectonic province '
' seismotectonics '
' Sg '
' SgSg '
' SH '
' shear stress '
' SKJKS '
' SKKP '
' SKKPab '
' SKKPbc '
' SKKPdf '
' SKKS '
' SKKSac '
' SKKSdf '
' SKP '
' SKPab '
' SKPbc '
' SKPdf '
' SKSac '
' SKSdf '
' Snell's Law '
' SnSn '
' sP '
' spectral acceleration '
' spectral amplification '
' spectral ratio '
' spectrum '
' spike test (tomography) '
' sPy '
' sS '
' SSP '
' SSS '
' station '
' step function '
' stick slip '
' Stonely waves '
' strain (elastic) '
' stress drop '
' strike of fault '
' strike-slip fault '
' strong ground-motion '
' surface reflections '
' SURFACE WAVES '
' surface waves (of earthquakes) '
' surface-wave magnitude '
' SV '
' swarm (of earthquakes) '
' Sx '
' synthetic seismogram '
' Sz-S '
' takeoff angle '
' taper '
' Taylor series '
' tectonic earthquakes '
' tectonics '
' teleseismic distance '
' tensional (T) axis '
' tensor (mathematics) '
' tesseral harmonic '
' The Moho '
' threshold (nuclear verification) '
' torodial mode '
' torsional mode '
' TPg '
' TPg (TSg, TRg) '
' transverse (seismogram) '
' travel-time curve '
' TRg '
' triggered earthquake '
' triggered slip '
' triple junction '
' tsunami '
' tsunami earthquake '
' two-station method '
' UNIDENTIFIED ARRIVALS '
' variance (statistics) '
' vector '
' velocity structure '
' viscoelastic material '
' volcanic earthquakes '
' volcanic tremor '
' wavelength '
' x '
' yield '
' Young's modulus (E) '
' Z-transform '
'A'
'AB'
'Acoustic Phases'
'Antipode'
'AS'
'Aseismic Front'
'Aseismic Region'
'Attenuation'
'Auxiliary Fault Plane'
'b' Value
'Back Azimuth'
'Band Pass Filter'
'Benioff Zone'
'Body Wave Magnitude'
'Body Wave'
'Bore'
'Bulk Modulus'
'c'
'Capable Fault'
'Caustic (Waves)'
'Characteristic Earthquake'
'Checkerboard Test (tomography)'
'Coefficient of Friction'
'Compressional (P) Axis'
'Conrad Discontinuity'
'Convolution'
'Core (of Earth)'
'Correlation (mathematics)'
'Covariant Matrix (modeling)'
'Critical Facilities'
'Crust'
'CRUSTAL PHASES'
'CTBT'
'Deconvolution'
'Delamination'
'Delta Function'
'Density'
'Depth Phases'
'Deterministic Hazard Assessment'
'Deterministic Methods'
'Dilatancy (of rocks)'
'Dilation (waves)'
'Dip-Slip Fault'
'Directivity'
'Earthquake Occurence (Recurrence) Interval'
'Earthquake Segment'
'Eigenfunction'
'Eigenvector'
'Elastic Dislocation Theory'
'Fault Length'
'Fault Propagation Fold'
'Fault-Bend Fold'
'Filter'
'First Motion'
'Floating Earthquake'
'Fmax'
'Focal Depth (of earthquakes)'
'Forward Modeling Problem (for seismology)'
'Free Oscillation'
'Frequency'
'Fundamental Mode (frequencies)'
'G (or Gn)'
'G'
'Gaussian Filter'
'Gaussian Noise Spectrum'
'Geodetic'
'Gouge'
'Gravity Wave'
'Gutenberg-Richter recurrence relationship'
'Halfspace'
'Head Waves'
'High Pass Filter'
'Higher Modes (overtones)'
'HRg'
'Impulse Response Function'
'Instrument Response'
'Inverse Modeling Problem (for seismology)'
'IPg'
'IRg'
'J'
'J-B Table (Jeffreys-Bullen)'
'Kernel (excitation)'
'L'
'Least-Squares Fit'
'Least-Squares Inverse'
'Linear Filter System'
'Mainshock'
'Moveout'
'Multipathing'
'Near-Field Term (displacements)'
'Normal Modes'
'Origin Time'
'Orthogonal Function'
Terminology
III. Reading
Have Read
1984
A Little Larger Than the Entire Universe
A Musical Offering
A People's History of the United States
A Short Account of the Destruction of the Indies
Admiring Silence
Against Interpretation and Other Essays
Animal Farm
Barabbas
Barracoon: The Story of the Last "Black Cargo"
Being and Time
Between the World and Me
Cosmos
From Hell
General System Theory
Group Psychology and the Analysis of the Ego
Gödel, Escher, Bach: An Eternal Golden Braid
Have Read
Homage to Catalonia
House of Leaves
How Religion Evolved: And Why It Endures
In the world
Istanbul
Man's Search for Meaning
Manto: Selected Stories
Meditations: The Annotated Edition
My Name Is Red
Narrow Road to the Interior: And Other Writings
On Photography
On the Origin of Species
Pale Blue Dot: A Vision of the Human Future in Space
Permanent Record
Project Hail Mary by Andy Weir
Silence
Spinoza's Ethics
SPQR: A History of Ancient Rome
Swann's Way
TESTFRAME
The Anarchy: The East India Company, Corporate Violence, and the Pillage of an Empire
The Book of Disquiet: The Complete Edition
The Conference of the Birds
The Craft of Dying
The Denial of Death
The Fundamental Wisdom of the Middle Way: Nāgārjuna's Mūlamadhyamakakārikā
The God Delusion
The Hero With a Thousand Faces
The Lord of the Rings
The Message
The Ministry of Truth: The Biography of George Orwell's 1984
The Noble Eightfold Path: Way to the End of Suffering
The Poetry of Zen
The Power of Myth
The Remains of the Day
The Riddler: Year One
The Sea
The Setting Sun
The Society of the Spectacle
The Souls of Black Folk
The Structure of Scientific Revolutions
The Three-Body Problem
The Water Dancer
Thought is Your Enemy
Tractatus Logico-Philosophicus
Treat It Gentle
Tristes Tropiques
V for Vendetta
Walking
Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy
What I Believe
What Is Real?: The Unfinished Quest for the Meaning of Quantum Physics
What is the Fourth Dimension?
Why Men Fight
বিষয় চলচ্চিত্র
Notes and Highlights
Notes from A History of Reading by Alberto Manguel
Notes from A Little Larger Than the Entire Universe
A Musical Offering
Notes from A People's History of the United States by Howard Zinn
Notes from A Short Account of the Destruction of the Indies by Bartolome Las Casas
Notes from Admiring Silence by Gurnah Abdulrazak
Notes from Against Interpretation and Other Essays by Susan Sontag
Notes from Animal Farm by George Orwell
Notes from Annihilation of Caste by B.R. Ambedkar
Notes from Barabbas by Par Lagerkvist
Notes from Barracoon
Notes from Being and Time by Martin Heidegger
Notes from Between the World and Me by Ta-Nehisi Coates
General System Theory: Foundations, Development, Applications
Notes from Group Psychology and The Analysis of The Ego
Gödel, Escher, Bach: An Eternal Golden Braid
Notes from Homage to Catalonia
House Of Leaves
Notes from How Religion Evolved by Robin Dunbar
Notes from In the World
Notes from Man’s Search For Meaning by Viktor E Frankl
Notes from Meditations: The Annotated Edition by Marcus Aurelius, Robin Waterfield (editor)
Midnight's Children
Notes from My Name Is Red
Notes from Narrow Road to the Interior and Other Writings by Matsuo Bashō
Notes and Highlights
Notes from Cosmos by Carl Sagan
Thought is Your Enemy
On Photography
On the origin of species_ by means of natural selection
Notes from Pale Blue Dot
Notes from Permanent Record
Silence by Shūsaku Endō
Notes from Spinoza's Ethics by George Elliot
SPQR: A History of Ancient Rome
Swann's Way
Notes from The Anarchy
Notes from The Book of Disquiet by Fernando Pessoa
Notes from The Conference of the Birds
Notes from The Craft of Dying, 40th Anniversary Edition
Notes from The Denial of Death
Notes from The Fundamental Wisdom of the Middle Way
Notes from The God Delusion
Notes from The Hero With a Thousand Faces
The Lord of the Rings
The Message
Notes from The Ministry of Truth, The Biography of George Orwell's 1984
Notes from The Noble Eightfold Path by Bhikkhu Bodhi
Notes from The Poetry of Zen by Sam Hamill, J.P. Seaton
Notes from The Power of Myth
Notes from The Sea by John Banville
The Setting Sun
Notes from The Society of the Spectacle by Guy Debord
Souls of Black Folk by W. E. B. Du Bois
Notes from The Structure of Scientific Revolutions by Thomas S. Kuhn
The Three-Body Problem
Notes from Tractatus Logico-Philosophicus by Ludwig Wittgenstein
Notes from Treat it Gentle by Sidney Bechet
Notes from Tristes Tropiques by Claude Lévi-Strauss
V for Vendetta: Mentioned Works
Notes from Walking by Thomas Bernhard
Notes from Weapons of Math Destruction
Notes from What I Believe
Notes from What is Real by Adam Becker
Notes from What is the Fourth Dimension by Charles Howard Hinton
Notes from Why Men Fight
III. Reading
Reading Note Convention
IV. Journal
Living in the PNW
Geologist in the PNW
Hiking
Living in the PNW
Moving from Hawaii
Teaching in the PNW
A Ghost Story
A Mountain Willow
About Programming
How AI-generated Contents May Affect Marketing?
Art and Error
Belief, Religion, and the Illusion of Knowledge
Cogito, ergo sum
IV. Journal
On AI Note-taking
On Connections
On CyberEnsō
On Death
On Good Life
On Midjourney
The Importance of Dying Sincerely
Zen Poetry
V. Research
Archive
V. Research
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The Souls of Black Folk
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] Notes and Highlights > [The Souls of Black Folk by W. E. B. Du Bois](../Notes%20and%20Highlights/The%20Souls%20of%20Black%20Folk%20by%20W.%20E.%20B.%20Du%20Bois)