Index

A

absolute extrema, [1] acceleration accuracy algorithms alignment Allen NLP NER alpha values Alzheimer's disease analysis of variance (ANOVA), [1]

animation, [1], [2], [3], [4], [5] antiderivative aquifer area between two curves, [1] area problems area under the curve (AUC) autonomous equation average cost average rate of change average value, [1]

B

bag of words bar chart barchart basis, [1] Bayes' Theorem Beautifulsoup Bernoulli's equation

best approximation theorem bifurcation, [1], [2] binary classification of labeled data block descent box plot, [1], [2] boxplot break-pressure tank Brownian motion, [1], [2]

C

canonical ensemble catastrophic event categorical variable Cauchy distribution, [1], [2] Cauchy-Riemann equation Cauchy-Shwarz inequality census tracts, [1] central limit theorem chain rule, [1] change of basis characteristic polynomial characters chi-squared test Chicago Data Portal circuits City of Chicago budget class classes, [1], [2] classification classification of texts cleaning data closed system Cobbs-Douglas Production cofactor expansion coherent system cohesion collective efficacy column matrix column space, [1] compiler language

complex eigenvalues in ODE systems complex functions complex logarithms complex numbers complex potential, [1], [2] complex system science, [1], [2] concave down, [1] concave up, [1] conditionals confidence intervals, [1], [2] consistent, [1] contaminant flow, [1] continuity, [1] continuity equation continuous compounding interest control volume convergence and divergence of series convergence tests convergent coordinate descent corpus correlated system correlation coefficient covariance matrix COVID-19, [1] critical value method cumulative distribution function (CDF) cv2 CWS model cycloid cylindrical coordinates

D

Darcy's Law data likelihood data operations data visualization dataframe, [1] dataframe attributes decreasing definite integrals demand function Department of Human Services (DHS) derivative, [1] derivative optimization, [1] derivative rules derivatives of trig functions designing a water-delivery system determinant of matrix, [1] determinants, [1] determinants as area or volume, [1] deterministic system

diagonal entry diagonal matrix diagonalizable diagonalization, [1] difference of two proportions differential equations dimension, [1] dimension reduction by principal component analysis direction fields discrete dynamical systems, [1] display image youtube video distribution divergent document embedding document-term matrices domain, [1] domain knowledge dummy variables

E

echelon form, [1] EDA reports, [1] Eidge Classification eigenspace, [1], [2] eigenvalues, [1], [2] eigenvectors, [1] elementary row operations, [1] email filtering emergent behavior energy entropy, [1], [2], [3], [4], [5] equilibrium analysis, [1], [2] equilibrium bundle equilibrium point

equilibrium solution semi-stable stable unstable equilibrium systems equipotentials, [1], [2] evaluating classification exploratory data analysis (EDA) advanced exponential decay exponential distribution, [1], [2], [3] exponential functions, [1] exponential growth, [1] expressions extreme value theorem

F

F1 score, [1] false negative false positive false positive rate (FPR) feature effectiveness features Fischer-Calo, [1], [2] Fitzhugh Nagumo systems, [1] fixed cost flow rate fluid mechanics

folium, [1], [2] for loops, [1] fractals fractions frequencies of words frequency frequency distribution, [1] function compositions function operations functions, [1], [2], [3] fundamental set of solutions fundamental theorem of calculus

G

general solution generation geometric behavior of homogeneous linear ODE systems geometric multiplicity, [1] GINI index gradient descent

gradient-based optimization Gram-Schmidt process, [1] grand-canonical ensemble graphical intersections gravity-fed water delivery Great Migration, [1] groundwater flow equation

H

half-life hardship index, [1] harmonic conjugate harmonic functions heat map Heaviside functions heavy tail hiding code histogram, [1], [2], [3], [4], [5], [6], [7] homicides

homogeneity homogenous Honduras Horner's rule, [1] Housing Equity Initiative (HEI) hydrology hypocycloid hypothesis hypothesis test, [1] hypothesis testing

I

identity matrix if conditional statements, [1], [2] illogical value removal image recognition implicit differentiation importing and exporting data improper integral income streams income-consumption path incompressible inconsistent, [1] increasing indefinite integrals, [1] inflection points initial condition initial value problem (IVP) inline (lambda) functions inner join inner product, [1], [2]

installing libraries instantaneous rate of change integral test integrals integration by parts intent detection Intermediate Value Theorem internally displaced people (IDP) International Office for Migration (IOM) interpreter language inverse document frequency inverse functions inverse Laplace transforms inverse of a square matrix, [1], [2] inviscid flow Ising spin model isolated paramagnetic spin model isolated system isotropic

J

Jacobian matrix

JNB joint probability

K

k-means clustering, [1], [2], [3], [4], [5]

keyword extraction

L

L'Hospital's rule, [1] laminar flow language detection Laplace equation Laplace transforms leading entry least-squares problems, [1], [2], [3] level curve levels of processing libraries limits, [1] linear approximation linear combination, [1] linear dependence

linear equations, [1] linear first-order ODE linear homogeneous differential equations with constant coefficients linear independence linear regression simple models linear systems, [1], [2], [3] linear transformations, [1], [2], [3] linearity linearization, [1], [2] lists logistic growth logistic growth model, [1] Lorentz curve

M

machine learning magnitude of vectors map marginal cost marginal functions markdown mathematical formalism matplotlib, [1], [2] matrices, [1] matrix algebra, [1], [2] matrix entry, [1] matrix equations, [1], [2]

maximization of projected variance maximum likelihood mean mean value theorem, [1], [2] microcanonical ensemble migration matrix minimizing the OLS loss function via normal equations missing data Monte Carlo method Monte Carlo simulation, [1], [2] multiclass classification music, [1] musical tone

N

n-grams N/A value Naive Bayes algorithms, [1] named entity recognition (NER) named entity resolution NaN values natural exponential functions natural language generation natural language processing Newton's 2nd Law NFL player positions non-deterministic system

non-homogeneous linear ODE systems with constant coefficients nonhomogeneous linear differential equations nonlinear systems nonzero vectors, [1] normal distribution normal equations, [1], [2] normality test normalization null distribution null hypothesis, [1] null space, [1] numeric count vectors numpy, [1]

O

objects OLS linear regression, [1], [2], [3], [4] one vs one (OvO) one vs rest (OvR) one-hot vectors open system opencv-python optimization optimization for linearly-separable data optimization for non-separable data optimization problem

ordinary differential equation, [1] first order separable orthogonal basis, [1] orthogonal compliment, [1] orthogonal projection, [1], [2] orthogonal projections onto 1-dimensional spaces orthogonal sets, [1] orthogonality, [1], [2], [3] orthonormal basis os outlier removal

P

p-series p-value pandas, [1], [2], [3], [4] paragraphs, [1] parameter estimation parametric curve, [1] parametric curves parametric equations, [1] Pascal's Triangle perceptron Perelson's immunological HIV model, [1] phase plane phase plane for nonlinear systems phase transitions pie chart piechart, [1] pipe selection pixel images, [1], [2], [3], [4], [5], [6] polar coordinates, [1] polynomial functions, [1], [2]

pooled sample proportion Porter stemmer posterior power law distribution power rule power series precision, [1], [2] prediction preprocessing principal component analysis (PCA), [1], [2] prior probabilistic language modeling probability distributions, [1] procedures product rule, [1], [2] projected variance projection pseudo-random number generator (PRNG), [1], [2] pure tones python list comprehensions, [1]

Q

quadric surface

quotient rule, [1], [2]

R

radian measure random number simulation, [1] random numbers, [1] random process random system random walk, [1], [2] range rank, [1] Rank-Nullity Theorem rates rational functions reading and writing data reading excel sheets, [1] recall, [1], [2] recursive algorithms, [1]

redlining reduced echelon form, [1] reduction algorithm regression least-squares multiple related rates relative extrema, [1] residuals Reynold's number Riemann Sum, [1], [2], [3] ROC Curve row equivalent row reduction algorithm, [1] Rozenzweig-MacArthur predator prey (RMPP) equations, [1]

S

scalar product, [1], [2] scatter plot scatterplot, [1] Schelling model seaborn secant line, [1], [2] semantic analysis sensitivity sensitivity analysis, [1], [2], [3] sentences sentiment analysis separating hyperplanes separation of variables sequences, [1] series, [1], [2], [3], [4] shape file signed distance similarity retrieval simulation model sine waves sink, [1], [2] slope fields solution set of linear systems sound waves source, [1], [2], [3], [4] space leasing plume, [1] span specificity spin system

spiral sink spring mass problem standard deviation standard matrix representation, [1] statements statistical inference statistical physics, [1] statistical process control statistical test, [1] steady flow steady state stemming stream function streamline, [1] streamline modeling string operations Student's t-distribution subsets subspace, [1], [2] substitution sum of matrices sum of squares error summary statistics, [1], [2] superposition principle support vector machines (SVM), [1], [2] symmetry syntactic analysis system sensitivity method systems of first-order differential equations systems of linear equations, [1]

T

t-test, [1], [2] one-sample paired two-sample, [1], [2] tangent line, [1], [2] tax sale, [1] test statistic, [1] testing set, [1], [2] text classification TF-IDF (term frequency the Hamiltonian The Rankine Oval Tigray time-reversibility tokenizers total cost

trace of square matrix, [1], [2] training set, [1], [2] transformation transitional flow transpose of a matrix, [1], [2] trees triangular matrix trig functions trouble shooting libraries true accuracy true negative true positive true positive rate (TPR) turbulent flow, [1] two-commodity model types

U

U-substitution UC Irvine Machine Learning Repository UN Sustainable Development Goals (UN SDG)

undetermined coefficients uniform distribution, [1], [2], [3] uniform flow, [1], [2] universal sentence encoder (USE)

V

variables variance and covariance vector equations vectorizations

vectors velocity potential velocity profile violin plot viscous flow

W

water-flow rate web scraping while loops

word clouds, [1], [2] words World Health Organization (WHO)

Z

zero matrix

zero row zero vector