diff --git a/equation.md b/equation.md new file mode 100644 index 0000000..322c9d6 --- /dev/null +++ b/equation.md @@ -0,0 +1,364 @@ + +## DeepNLP Equation + +DeepNLP Equation is a repo/website (http://www.deepnlp.org/equation) to host latex code and text explanation of equations in all science and quantitative fields. +We will continue to collect and grow the size of resources and hopefully this repo of resources can be helpful to research and development of large language model, machine learning and AI4Science communities. + + +#### Physics + +[List of Physics Equation](http://www.deepnlp.org/equation?category=physics)
+ +[Maxwell Equations Integral](http://www.deepnlp.org/equation/maxwell-equations-integral)
+[Fourier Series:](http://www.deepnlp.org/equation/fourier-series)
+[Fourier Transforms](http://www.deepnlp.org/equation/fourier-transforms)
+[Lorentz Transformation Latex](http://www.deepnlp.org/equation/lorentz-transformation-latex)
+[Red and Blue Shift](http://www.deepnlp.org/equation/red-and-blue-shift)
+[Stress-energy Tensor](http://www.deepnlp.org/equation/stress-energy-tensor)
+[General Relativity](http://www.deepnlp.org/equation/general-relativity)
+[Riemannian Tensor](http://www.deepnlp.org/equation/riemannian-tensor)
+[Einstein Field Equations](http://www.deepnlp.org/equation/einstein-field-equations)
+[Electric Oscillations](http://www.deepnlp.org/equation/electric-oscillations)
+[Harmonic Oscillations](http://www.deepnlp.org/equation/harmonic-oscillations)
+[Mechanic Oscillations](http://www.deepnlp.org/equation/mechanic-oscillations)
+[Waves In Long Conductors](http://www.deepnlp.org/equation/waves-in-long-conductors)
+[Amplitude of a driven oscillation](http://www.deepnlp.org/equation/amplitude-of-a-driven-oscillation)
+[Coupled Conductors and Transformers](http://www.deepnlp.org/equation/coupled-conductors-and-transformers)
+[Pendulums](http://www.deepnlp.org/equation/pendulums)
+[Angular frequency for a damped oscillation](http://www.deepnlp.org/equation/angular-frequency-for-a-damped-oscillation)
+[Wave Equation](http://www.deepnlp.org/equation/wave-equation)
+[Plane Waves](http://www.deepnlp.org/equation/plane-waves)
+[Spherical Waves](http://www.deepnlp.org/equation/spherical-waves)
+[Cylindrical Waves](http://www.deepnlp.org/equation/cylindrical-waves)
+[The general solution of Wave Equation](http://www.deepnlp.org/equation/the-general-solution-of-wave-equation)
+[The Stationary Phase Method Wave Equation](http://www.deepnlp.org/equation/the-stationary-phase-method-wave-equation)
+[Green functions for the initial-value problem](http://www.deepnlp.org/equation/green-functions-for-the-initial-value-problem)
+[Waveguides and resonating cavities](http://www.deepnlp.org/equation/waveguides-and-resonating-cavities)
+[Non-linear Wave Equation](http://www.deepnlp.org/equation/non-linear-wave-equation)
+[Bending of light Snell's law](http://www.deepnlp.org/equation/bending-of-light-snell's-law)
+[Bending of light Fermat's principle](http://www.deepnlp.org/equation/bending-of-light-fermat's-principle)
+[Optics Paraxial Geometrical](http://www.deepnlp.org/equation/optics-paraxial-geometrical)
+[Mirrors](http://www.deepnlp.org/equation/mirrors)
+[Optics Principal Planes](http://www.deepnlp.org/equation/optics-principal-planes)
+[Optics Magnification](http://www.deepnlp.org/equation/optics-magnification)
+[Optical System Matrix Methods](http://www.deepnlp.org/equation/optical-system-matrix-methods)
+[Reflection and Transmission](http://www.deepnlp.org/equation/reflection-and-transmission)
+[Fresnel Equations](http://www.deepnlp.org/equation/fresnel-equations)
+[Optics Polarization](http://www.deepnlp.org/equation/optics-polarization)
+[Prisms and Dispersion](http://www.deepnlp.org/equation/prisms-and-dispersion)
+[Diffraction](http://www.deepnlp.org/equation/diffraction)
+[Birefringence and Dichroism](http://www.deepnlp.org/equation/birefringence-and-dichroism)
+[Fabry Perot Interferometer](http://www.deepnlp.org/equation/fabry-perot-interferometer)
+[Angular frequency for a damped oscillation](http://www.deepnlp.org/equation/angular-frequency-for-a-damped-oscillation)
+[Displacement of a driven oscillator](http://www.deepnlp.org/equation/displacement-of-a-driven-oscillator)
+[Thermodynamics Statistical Basis](http://www.deepnlp.org/equation/thermodynamics-statistical-basis)
+[Thermodynamics Ideal Mixtures](http://www.deepnlp.org/equation/thermodynamics-ideal-mixtures)
+[Thermodynamics Definitions](http://www.deepnlp.org/equation/thermodynamics-definitions)
+[Thermal Heat Capacity](http://www.deepnlp.org/equation/thermal-heat-capacity)
+[Thermodynamics Conservation of Energy](http://www.deepnlp.org/equation/thermodynamics-conservation-of-energy)
+[Thermodynamics Nernst Law](http://www.deepnlp.org/equation/thermodynamics-nernst-law)
+[State functions Maxwell Relations](http://www.deepnlp.org/equation/state-functions-maxwell-relations)
+[Reversible Adiabatic Processes](http://www.deepnlp.org/equation/reversible-adiabatic-processes)
+[Isobaric Processes](http://www.deepnlp.org/equation/isobaric-processes)
+[Throttle Processes](http://www.deepnlp.org/equation/throttle-processes)
+[The Carnot Cycle](http://www.deepnlp.org/equation/the-carnot-cycle)
+[Phase Transitions](http://www.deepnlp.org/equation/phase-transitions)
+[Thermodynamic Potential](http://www.deepnlp.org/equation/thermodynamic-potential)
+[Displacement of a slightly damped oscillator](http://www.deepnlp.org/equation/displacement-of-a-slightly-damped-oscillator)
+[Energy change in a damped oscillation](http://www.deepnlp.org/equation/energy-change-in-a-damped-oscillation)
+[Energy transmitted by a harmonic wave](http://www.deepnlp.org/equation/energy-transmitted-by-a-harmonic-wave)
+[Harmonic Wave Function](http://www.deepnlp.org/equation/harmonic-wave-function)
+[Phase constant of a driven oscillation](http://www.deepnlp.org/equation/phase-constant-of-a-driven-oscillation)
+[Angular Momentum](http://www.deepnlp.org/equation/angular-momentum)
+[Average Acceleration](http://www.deepnlp.org/equation/average-acceleration)
+[Bulk Modulus](http://www.deepnlp.org/equation/bulk-modulus)
+[Centripetal Acceleration](http://www.deepnlp.org/equation/centripetal-acceleration)
+[Mechanics Compressibility](http://www.deepnlp.org/equation/mechanics-compressibility)
+[Mechanics Continuity Equation](http://www.deepnlp.org/equation/mechanics-continuity-equation)
+[Mechanics Displacement](http://www.deepnlp.org/equation/mechanics-displacement)
+[Newton Second Law Force](http://www.deepnlp.org/equation/newton-second-law-force)
+[Shear Modulus](http://www.deepnlp.org/equation/shear-modulus)
+[Simple Harmonic Motion Acceleration](http://www.deepnlp.org/equation/simple-harmonic-motion-acceleration)
+[Speed of Sound Waves in a Fluid](http://www.deepnlp.org/equation/speed-of-sound-waves-in-a-fluid)
+[Mechanics Stress](http://www.deepnlp.org/equation/mechanics-stress)
+[Velocity](http://www.deepnlp.org/equation/velocity)
+[Viscous Flow](http://www.deepnlp.org/equation/viscous-flow)
+[Youngs Modulus](http://www.deepnlp.org/equation/youngs-modulus)
+[Black Body Radiation](http://www.deepnlp.org/equation/black-body-radiation)
+[The Compton Effect](http://www.deepnlp.org/equation/the-compton-effect)
+[Quantum Wave Functions](http://www.deepnlp.org/equation/quantum-wave-functions)
+[Operators in Quantum Physics](http://www.deepnlp.org/equation/operators-in-quantum-physics)
+[The Uncertainty Principle](http://www.deepnlp.org/equation/the-uncertainty-principle)
+[The Schrödinger Equation](http://www.deepnlp.org/equation/the-schrödinger-equation)
+[Parity](http://www.deepnlp.org/equation/parity)
+[The Tunnel Effect](http://www.deepnlp.org/equation/the-tunnel-effect)
+[Harmonic Oscillator Quantum](http://www.deepnlp.org/equation/harmonic-oscillator-quantum)
+[Kullback-Leibler Divergence](http://www.deepnlp.org/equation/kullback-leibler-divergence)
+[KL-Divergence](http://www.deepnlp.org/equation/kl-divergence)
+[Support Vector Machine SVM](http://www.deepnlp.org/equation/support-vector-machine-svm)
+[Bellman Equation](http://www.deepnlp.org/equation/bellman-equation)
+[Jensen-Shannon Divergence JS-Divergence](http://www.deepnlp.org/equation/jensen-shannon-divergence-js-divergence)
+[Energy and Principal Quantum Number](http://www.deepnlp.org/equation/energy-and-principal-quantum-number)
+[Radii of stable orbits in Bohr model](http://www.deepnlp.org/equation/radii-of-stable-orbits-in-bohr-model)
+[Rydberg Equation](http://www.deepnlp.org/equation/rydberg-equation)
+[Speed of Light](http://www.deepnlp.org/equation/speed-of-light)
+ + +##### Math Calculus and Linear Algebra + +[List of Math Calculus and Linear Algebra Equations](http://www.deepnlp.org/equation?category=math)
+ +[Maxwell Equations Integral](http://www.deepnlp.org/equation/maxwell-equations-integral)
+[Taylor Series](http://www.deepnlp.org/equation/taylor-series)
+[Maclaurin Series](http://www.deepnlp.org/equation/maclaurin-series)
+[Determinants of a Matrix](http://www.deepnlp.org/equation/determinants-of-a-matrix)
+[Eigenvalues and Eigenvectors](http://www.deepnlp.org/equation/eigenvalues-and-eigenvectors)
+[Fourier Series](http://www.deepnlp.org/equation/fourier-series)
+[Laplace Transform](http://www.deepnlp.org/equation/laplace-transform)
+[Fourier Transforms](http://www.deepnlp.org/equation/fourier-transforms)
+[Regression Least Squares Fitting](http://www.deepnlp.org/equation/regression-least-squares-fitting)
+[General Relativity](http://www.deepnlp.org/equation/general-relativity)
+[Arithmetic and Geometric Progressions](http://www.deepnlp.org/equation/arithmetic-and-geometric-progressions)
+[Convergence of Series](http://www.deepnlp.org/equation/convergence-of-series)
+[Binomial Expansion](http://www.deepnlp.org/equation/binomial-expansion)
+[Power Series with Real Variables](http://www.deepnlp.org/equation/power-series-with-real-variables)
+[Plane Wave Expansion](http://www.deepnlp.org/equation/plane-wave-expansion)
+[Diffusion Conduction Equation](http://www.deepnlp.org/equation/diffusion-conduction-equation)
+[Wave Equation](http://www.deepnlp.org/equation/wave-equation)
+[Heat Equation](http://www.deepnlp.org/equation/heat-equation)
+[Laplace Equation](http://www.deepnlp.org/equation/laplace-equation)
+[Legendre Equation](http://www.deepnlp.org/equation/legendre-equation)
+[Bessel Equation](http://www.deepnlp.org/equation/bessel-equation)
+[Spherical Harmonics Equation](http://www.deepnlp.org/equation/spherical-harmonics-equation)
+[Complex Numbers](http://www.deepnlp.org/equation/complex-numbers)
+[De Moivre's Theorem](http://www.deepnlp.org/equation/de-moivre's-theorem)
+[Power Series for Complex Variables](http://www.deepnlp.org/equation/power-series-for-complex-variables)
+[Electric Oscillations](http://www.deepnlp.org/equation/electric-oscillations)
+[Mechanic Oscillations](http://www.deepnlp.org/equation/mechanic-oscillations)
+[Waves In Long Conductors](http://www.deepnlp.org/equation/waves-in-long-conductors)
+[Pendulums](http://www.deepnlp.org/equation/pendulums)
+[Average Treatment Effect ATE](http://www.deepnlp.org/equation/average-treatment-effect-ate)
+[Conditional Average Treatment Effect CATE](http://www.deepnlp.org/equation/conditional-average-treatment-effect-cate)
+[S-Learner](http://www.deepnlp.org/equation/s-learner)
+[T-Learner](http://www.deepnlp.org/equation/t-learner)
+[gaussian process](http://www.deepnlp.org/equation/gaussian-process)
+[Diffusion Model Forward Process](http://www.deepnlp.org/equation/diffusion-model-forward-process)
+[Diffusion Model Reverse Process](http://www.deepnlp.org/equation/diffusion-model-reverse-process)
+[Diffusion Model Variational Lower Bound](http://www.deepnlp.org/equation/diffusion-model-variational-lower-bound)
+[Diffusion Model Variational Lower Bound Loss](http://www.deepnlp.org/equation/diffusion-model-variational-lower-bound-loss)
+[Generative Adversarial Networks GAN](http://www.deepnlp.org/equation/generative-adversarial-networks-gan)
+[Variational AutoEncoder VAE](http://www.deepnlp.org/equation/variational-autoencoder-vae)
+[Maximum Mean Discrepancy MMD](http://www.deepnlp.org/equation/maximum-mean-discrepancy-mmd)
+[TransE](http://www.deepnlp.org/equation/transe)
+[Graph Laplacian](http://www.deepnlp.org/equation/graph-laplacian)
+[Graph Convolutional Networks GCN](http://www.deepnlp.org/equation/graph-convolutional-networks-gcn)
+[GraphSage](http://www.deepnlp.org/equation/graphsage)
+[Graph Attention Network GAT](http://www.deepnlp.org/equation/graph-attention-network-gat)
+[Model-Agnostic Meta-Learning MAML](http://www.deepnlp.org/equation/model-agnostic-meta-learning-maml)
+[Domain Adaptation H-Divergence](http://www.deepnlp.org/equation/domain-adaptation-h-divergence)
+[Bound on Target Domain Error](http://www.deepnlp.org/equation/bound-on-target-domain-error)
+[Domain-Adversarial Neural Networks DANN](http://www.deepnlp.org/equation/domain-adversarial-neural-networks-dann)
+[Equation of Exchange](http://www.deepnlp.org/equation/equation-of-exchange)
+[Ito Lemma](http://www.deepnlp.org/equation/ito-lemma)
+[Geometric Brownian Motion SDEs](http://www.deepnlp.org/equation/geometric-brownian-motion-sdes)
+[Stock Prices as Geometric Brownian Motion](http://www.deepnlp.org/equation/stock-prices-as-geometric-brownian-motion)
+[Sharpe Ratio](http://www.deepnlp.org/equation/sharpe-ratio)
+[Risk-Neutral Valuation and Power Contracts](http://www.deepnlp.org/equation/risk-neutral-valuation-and-power-contracts)
+[Cox-Ingersoll-Ross CIR](http://www.deepnlp.org/equation/cox-ingersoll-ross-cir)
+[Gamma Distribution](http://www.deepnlp.org/equation/gamma-distribution)
+[Fisher Skewness](http://www.deepnlp.org/equation/fisher-skewness)
+[Binomial Distribution](http://www.deepnlp.org/equation/binomial-distribution)
+[Poisson Distribution](http://www.deepnlp.org/equation/poisson-distribution)
+[Normal Gaussian Distribution](http://www.deepnlp.org/equation/normal-gaussian-distribution)
+[Exponential Distribution](http://www.deepnlp.org/equation/exponential-distribution)
+[Area of a Circle](http://www.deepnlp.org/equation/area-of-a-circle)
+[Area of a Parallelogram](http://www.deepnlp.org/equation/area-of-a-parallelogram)
+[Area of a Rectangle](http://www.deepnlp.org/equation/area-of-a-rectangle)
+[Area of a Regular Polygon](http://www.deepnlp.org/equation/area-of-a-regular-polygon)
+[Area of a Rhombus](http://www.deepnlp.org/equation/area-of-a-rhombus)
+[Area of a Square](http://www.deepnlp.org/equation/area-of-a-square)
+[Area of a Sector](http://www.deepnlp.org/equation/area-of-a-sector)
+[Area of a Trapezoid](http://www.deepnlp.org/equation/area-of-a-trapezoid)
+[Area of a Triangle](http://www.deepnlp.org/equation/area-of-a-triangle)
+[Area of a Ellipse](http://www.deepnlp.org/equation/area-of-a-ellipse)
+[Surface area of a cube](http://www.deepnlp.org/equation/surface-area-of-a-cube)
+[Area of a Equilateral Triangle](http://www.deepnlp.org/equation/area-of-a-equilateral-triangle)
+[Surface area of a Cuboid](http://www.deepnlp.org/equation/surface-area-of-a-cuboid)
+[Surface area of a cylinder](http://www.deepnlp.org/equation/surface-area-of-a-cylinder)
+[Surface area of a Sphere](http://www.deepnlp.org/equation/surface-area-of-a-sphere)
+[Cartesian to Cylindrical Coordinates](http://www.deepnlp.org/equation/cartesian-to-cylindrical-coordinates)
+[Cartesian to Spherical Coordinates](http://www.deepnlp.org/equation/cartesian-to-spherical-coordinates)
+[Cartesian to Polar Coordinates](http://www.deepnlp.org/equation/cartesian-to-polar-coordinates)
+[Cylindrical to Spherical Coordinates](http://www.deepnlp.org/equation/cylindrical-to-spherical-coordinates)
+[Distance Between Two Points 2D](http://www.deepnlp.org/equation/distance-between-two-points-2d)
+[Distance Between Two Points 3D](http://www.deepnlp.org/equation/distance-between-two-points-3d)
+[Eccentricity of a Hyperbola](http://www.deepnlp.org/equation/eccentricity-of-a-hyperbola)
+[Eccentricity of an Ellipse](http://www.deepnlp.org/equation/eccentricity-of-an-ellipse)
+[Circle](http://www.deepnlp.org/equation/circle)
+[Hyperbolic Paraboloid](http://www.deepnlp.org/equation/hyperbolic-paraboloid)
+[Hyperbola](http://www.deepnlp.org/equation/hyperbola)
+[Parabola](http://www.deepnlp.org/equation/parabola)
+[Plane](http://www.deepnlp.org/equation/plane)
+[Sphere](http://www.deepnlp.org/equation/sphere)
+[Ellipse](http://www.deepnlp.org/equation/ellipse)
+[Elliptic Cone](http://www.deepnlp.org/equation/elliptic-cone)
+[Ellipsoid](http://www.deepnlp.org/equation/ellipsoid)
+[Elliptic Cylinder](http://www.deepnlp.org/equation/elliptic-cylinder)
+[Spiral of Archimedes](http://www.deepnlp.org/equation/spiral-of-archimedes)
+[Elliptic Paraboloid](http://www.deepnlp.org/equation/elliptic-paraboloid)
+[Uniform Distribution](http://www.deepnlp.org/equation/uniform-distribution)
+[Beta Distribution](http://www.deepnlp.org/equation/beta-distribution)
+[Bernoulli Distribution](http://www.deepnlp.org/equation/bernoulli-distribution)
+[Geometric Distribution](http://www.deepnlp.org/equation/geometric-distribution)
+[Beta Binomial Distribution](http://www.deepnlp.org/equation/beta-binomial-distribution)
+[Poisson Binomial Distribution](http://www.deepnlp.org/equation/poisson-binomial-distribution)
+[Chi-Squared Distribution](http://www.deepnlp.org/equation/chi-squared-distribution)
+[Gumbel Distribution](http://www.deepnlp.org/equation/gumbel-distribution)
+[Student t-Distribution](http://www.deepnlp.org/equation/student-t-distribution)
+[Laplace Distribution](http://www.deepnlp.org/equation/laplace-distribution)
+ + +### Machine Learning +[List of Machine Learning Equation](http://www.deepnlp.org/equation?category=machine%20learning)
+ +#### Large Language Model +[Language Modelling](http://www.deepnlp.org/equation/language-modelling)
+[LORA Low Rank Adaptation](http://www.deepnlp.org/equation/low-rank-adaptation-lora)
+[PPO Proximal Policy Optimization](http://www.deepnlp.org/equation/proximal-policy-optimization)
+[DPO Direct Policy Optimization](http://www.deepnlp.org/equation/direct-policy-optimization-dpo)
+[Perplexity of LM](http://www.deepnlp.org/equation/perplexity-of-language-model)
+ +##### CV and NLP +[Transformer](http://deepnlp.org/equation/transformer)
+[GAN Generative Adversarial Networks](http://deepnlp.org/equation/generative-adversarial-networks-gan)
+[VAE Variational Autoencoder](http://deepnlp.org/equation/variational-autoencoder-vae)
+[CRF Conditional Random Field](http://www.deepnlp.org/equation/conditional-random-field-crf)
+[HMM Hidden Markov Model](http://www.deepnlp.org/equation/hidden-markov-model)
+[Diffusion Model Forward Process](http://deepnlp.org/equation/diffusion-model-forward-process)
+[Diffusion Model Forward Process Reparameterization](http://deepnlp.org/equation/diffusion-model-forward-process-reparameterization)
+[Diffusion Model Reverse Process](http://deepnlp.org/equation/diffusion-model-reverse-process)
+[Diffusion Model Variational Lower Bound](http://deepnlp.org/equation/diffusion-model-variational-lower-bound)
+[Diffusion Model Variational Lower Bound Loss](http://deepnlp.org/equation/diffusion-model-variational-lower-bound-loss)
+ +##### GCN/GAT/GraphSage +[GCN graph convolutional network](http://deepnlp.org/equation/graph-convolutional-networks-gcn)
+[GAT graph attention network](http://deepnlp.org/equation/graph-attention-network-gat)
+[GraphSage](http://deepnlp.org/equation/graphsage)
+ +##### Machine Learning Loss and Metrics +[KL Divergence](http://deepnlp.org/equation/kl-divergence)
+[Huber Loss](http://deepnlp.org/equation/huber-loss)
+[Support Vector Machine](http://deepnlp.org/equation/support-vector-machine-svm)
+[MAE Mean Absolute Error](http://www.deepnlp.org/equation/mean-absolute-error-mae)
+[MSE Mean Squared Error](http://www.deepnlp.org/equation/mean-squared-error-mse)
+[MAML Model Agnostic Meta Learning](http://www.deepnlp.org/equation/model-agnostic-meta-learning-maml)
+[Bregman Divergences](http://www.deepnlp.org/equation/bregman-divergences)
+ +##### Search and Recommendation +[MMOE Multi Gate Mixture of Experts](http://deepnlp.org/equation/multi-gate-mixture-of-experts-mmoe)
+[Progressive Layered Extraction](http://deepnlp.org/equation/progressive-layered-extraction-ple)
+ +##### Causal Inference and Uplift Modelling +[AUUC Area Under Uplift Curve](http://deepnlp.org/equation/area-under-uplift-curve-auuc)
+[S Learner](http://www.deepnlp.org/equation/s-learner) +[T Learner](http://www.deepnlp.org/equation/t-learner) +[Propensity Score](http://www.deepnlp.org/equation/propensity-score) +[QINI Coefficient](http://www.deepnlp.org/equation/qini) + + + + +### Economics and Financial Engineering + +[List of Economics and Financial Engineering Equation](http://deepnlp.org/equation/category/economics)
+ +[Simple Interest](http://www.deepnlp.org/equation/simple-interest)
+[Compound Interest](http://www.deepnlp.org/equation/compound-interest)
+[Effective Rate](http://www.deepnlp.org/equation/effective-rate)
+[Future Value of Ordinary Annuities](http://www.deepnlp.org/equation/future-value-of-ordinary-annuities)
+[Present Value of Ordinary Annuities](http://www.deepnlp.org/equation/present-value-of-ordinary-annuities)
+[Annuities Due](http://www.deepnlp.org/equation/annuities-due)
+[Allocative Efficiency Condition](http://www.deepnlp.org/equation/allocative-efficiency-condition)
+[Average Fixed Cost](http://www.deepnlp.org/equation/average-fixed-cost)
+[Average Product](http://www.deepnlp.org/equation/average-product)
+[Average Total Cost](http://www.deepnlp.org/equation/average-total-cost)
+[Average Revenue](http://www.deepnlp.org/equation/average-revenue)
+[Average Variable Cost](http://www.deepnlp.org/equation/average-variable-cost)
+[Cross-Price Elasticity of Demand](http://www.deepnlp.org/equation/cross-price-elasticity-of-demand)
+[Elasticity of Supply](http://www.deepnlp.org/equation/elasticity-of-supply)
+[Marginal Revenue Product](http://www.deepnlp.org/equation/marginal-revenue-product)
+[Factor of Production Hiring Rule](http://www.deepnlp.org/equation/factor-of-production-hiring-rule)
+[Marginal Cost](http://www.deepnlp.org/equation/marginal-cost)
+[Marginal Product of Labor](http://www.deepnlp.org/equation/marginal-product-of-labor)
+[Marginal Factor Cost MFC](http://www.deepnlp.org/equation/marginal-factor-cost-mfc)
+[Marginal Revenue](http://www.deepnlp.org/equation/marginal-revenue)
+[Marginal Revenue Product of Labor MRPL](http://www.deepnlp.org/equation/marginal-revenue-product-of-labor-mrpl)
+[Optimal Combination of Resources Condition](http://www.deepnlp.org/equation/optimal-combination-of-resources-condition)
+[Price Elasticity of Demand](http://www.deepnlp.org/equation/price-elasticity-of-demand)
+[Optimal Consumption Rule](http://www.deepnlp.org/equation/optimal-consumption-rule)
+[Price for a Competitive Firm](http://www.deepnlp.org/equation/price-for-a-competitive-firm)
+[Production Efficiency Condition](http://www.deepnlp.org/equation/production-efficiency-condition)
+[Profit](http://www.deepnlp.org/equation/profit)
+[Slope of the Total Product Curve](http://www.deepnlp.org/equation/slope-of-the-total-product-curve)
+[Profit-Maximizing Output Level](http://www.deepnlp.org/equation/profit-maximizing-output-level)
+[Socially Optimal Level of Output](http://www.deepnlp.org/equation/socially-optimal-level-of-output)
+[Total Costs](http://www.deepnlp.org/equation/total-costs)
+[Distributive Efficiency Condition](http://www.deepnlp.org/equation/distributive-efficiency-condition)
+[Gini Coefficient](http://www.deepnlp.org/equation/gini-coefficient)
+[Investment](http://www.deepnlp.org/equation/investment)
+[Autonomous Spending Multiplier](http://www.deepnlp.org/equation/autonomous-spending-multiplier)
+[Balanced Budget Multiplier](http://www.deepnlp.org/equation/balanced-budget-multiplier)
+[Banks Reserve Ratio](http://www.deepnlp.org/equation/banks-reserve-ratio)
+[Consumption Function](http://www.deepnlp.org/equation/consumption-function)
+[Consumer Price Index CPI](http://www.deepnlp.org/equation/consumer-price-index-cpi)
+[Equality of Leakages and Injections](http://www.deepnlp.org/equation/equality-of-leakages-and-injections)
+[Equation of Exchange](http://www.deepnlp.org/equation/equation-of-exchange)
+[Gross Domestic Product Deflator](http://www.deepnlp.org/equation/gross-domestic-product-deflator)
+[Merchandise Trade Balance](http://www.deepnlp.org/equation/merchandise-trade-balance)
+[Nominal Interest Rate](http://www.deepnlp.org/equation/nominal-interest-rate)
+[Real GDP](http://www.deepnlp.org/equation/real-gdp)
+[Real Interest Rate](http://www.deepnlp.org/equation/real-interest-rate)
+[Tax Multiplier](http://www.deepnlp.org/equation/tax-multiplier)
+[Unemployment Rate](http://www.deepnlp.org/equation/unemployment-rate)
+[Forwards](http://www.deepnlp.org/equation/forwards)
+[Put-Call Parity](http://www.deepnlp.org/equation/put-call-parity)
+[Calls and Puts with Different Strikes](http://www.deepnlp.org/equation/calls-and-puts-with-different-strikes)
+[Calls and Puts Arbitrage](http://www.deepnlp.org/equation/calls-and-puts-arbitrage)
+[Call and Put Price Bounds](http://www.deepnlp.org/equation/call-and-put-price-bounds)
+[Varying Times to Expiration](http://www.deepnlp.org/equation/varying-times-to-expiration)
+[Early Exercise for American Options](http://www.deepnlp.org/equation/early-exercise-for-american-options)
+[Standard Brownian Motion](http://www.deepnlp.org/equation/standard-brownian-motion)
+[Geometric Brownian Motion](http://www.deepnlp.org/equation/geometric-brownian-motion)
+[Ito Lemma](http://www.deepnlp.org/equation/ito-lemma)
+[Geometric Brownian Motion SDEs](http://www.deepnlp.org/equation/geometric-brownian-motion-sdes)
+[Stock Prices as Geometric Brownian Motion](http://www.deepnlp.org/equation/stock-prices-as-geometric-brownian-motion)
+[Sharpe Ratio](http://www.deepnlp.org/equation/sharpe-ratio)
+[Risk-Neutral Valuation and Power Contracts](http://www.deepnlp.org/equation/risk-neutral-valuation-and-power-contracts)
+[Asian Options](http://www.deepnlp.org/equation/asian-options)
+[Monte-Carlo Simulations](http://www.deepnlp.org/equation/monte-carlo-simulations)
+[Black-Derman-Toy BDT](http://www.deepnlp.org/equation/black-derman-toy-bdt)
+[Bonds and Interest Rates](http://www.deepnlp.org/equation/bonds-and-interest-rates)
+[Cox-Ingersoll-Ross CIR](http://www.deepnlp.org/equation/cox-ingersoll-ross-cir)
+[Compound Interest](http://www.deepnlp.org/equation/compound-interest)
+[Total Costs](http://www.deepnlp.org/equation/total-costs)
+[Gini Coefficient](http://www.deepnlp.org/equation/gini-coefficient)
+[Gross Domestic Product Deflator](http://www.deepnlp.org/equation/gross-domestic-product-deflator)
+[Forwards](http://www.deepnlp.org/equation/forwards)
+[Put-Call Parity](http://www.deepnlp.org/equation/put-call-parity)
+[Calls and Puts with Different Strikes](http://www.deepnlp.org/equation/calls-and-puts-with-different-strikes)
+[Calls and Puts Arbitrage](http://www.deepnlp.org/equation/calls-and-puts-arbitrage)
+[Call and Put Price Bounds](http://www.deepnlp.org/equation/call-and-put-price-bounds)
+[Varying Times to Expiration](http://www.deepnlp.org/equation/varying-times-to-expiration)
+[Early Exercise for American Options](http://www.deepnlp.org/equation/early-exercise-for-american-options)
+[Standard Brownian Motion](http://www.deepnlp.org/equation/standard-brownian-motion)
+[Geometric Brownian Motion](http://www.deepnlp.org/equation/geometric-brownian-motion)
+[Ito Lemma](http://www.deepnlp.org/equation/ito-lemma)
+[Geometric Brownian Motion SDEs](http://www.deepnlp.org/equation/geometric-brownian-motion-sdes)
+[Stock Prices as Geometric Brownian Motion](http://www.deepnlp.org/equation/stock-prices-as-geometric-brownian-motion)
+[Sharpe Ratio](http://www.deepnlp.org/equation/sharpe-ratio)
+[Risk-Neutral Valuation and Power Contracts](http://www.deepnlp.org/equation/risk-neutral-valuation-and-power-contracts)
+[Asian Options](http://www.deepnlp.org/equation/asian-options)
+[Monte-Carlo Simulations](http://www.deepnlp.org/equation/monte-carlo-simulations)
+[Black-Derman-Toy BDT](http://www.deepnlp.org/equation/black-derman-toy-bdt)
+[Bonds and Interest Rates](http://www.deepnlp.org/equation/bonds-and-interest-rates)
+[Cox-Ingersoll-Ross CIR](http://www.deepnlp.org/equation/cox-ingersoll-ross-cir)