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LaTeX (KaTeX) templates
Mathematical typesetting: equations, derivations, matrices, commutative diagrams. Renders LaTeX math in the browser.
Math — Relative Risk & Odds Ratio
Effect measures from a 2×2 table.
MathematicsMath — Diagnostic Test Statistics
Sensitivity, specificity and predictive values.
MathematicsMath — Number Needed to Treat
Translating risk reduction into NNT.
MathematicsMath — Analysis of Variance
Comparing means of several groups.
MathematicsMath — Multiple Regression
Several predictors and the fitted coefficients.
MathematicsMath — Time Series
Decomposition and forecasting.
MathematicsMath — Poisson Process
Random events in time.
MathematicsMath — Critical Path Analysis
Scheduling project networks.
MathematicsMath — Queuing Theory
Little's law and the M/M/1 queue.
MathematicsMath — Decision Analysis
Expected value and the value of information.
MathematicsMath — Statistical Process Control
Control limits for monitoring a process.
MathematicsChemistry — NPK Fertilisers
The three primary plant macronutrients.
Chemistry & PhysicsChemistry — Maillard Reaction
The browning reaction of cooking.
Chemistry & PhysicsChemistry — Saponification
Making soap by base hydrolysis of fat.
Chemistry & PhysicsChemistry — Energy in Food
Measuring food energy by calorimetry.
Chemistry & PhysicsChemistry — Food Preservatives
Chemical strategies to slow spoilage.
Chemistry & PhysicsChemistry — Soil Nutrients
Macro- and micronutrients in soil.
Chemistry & PhysicsChemistry — Water Quality
Indicators of water pollution.
Chemistry & PhysicsChemistry — The Lime Cycle
Limestone, quicklime and slaked lime.
Chemistry & PhysicsForensics — Blood Spatter Analysis
Angle of impact from the shape of a bloodstain.
Chemistry & PhysicsForensics — Speed from Skid Marks
Estimating vehicle speed from braking distance.
Chemistry & PhysicsForensics — Estimating Time of Death
Body cooling by Newton's law.
Chemistry & PhysicsForensics — Ballistics
Energy, momentum and recoil of a projectile.
Chemistry & PhysicsForensics — DNA Profiling
Short tandem repeats and match probability.
Chemistry & PhysicsForensics — Luminol Test
Chemiluminescent detection of trace blood.
Chemistry & PhysicsForensics — Toxicology Screening
Detecting drugs by chromatography and mass spectrometry.
Chemistry & PhysicsForensics — Fingerprint Development
Chemistry of revealing latent fingerprints.
Chemistry & PhysicsSports Science — Energy Systems
The three energy systems of exercise.
Life SciencesSports Science — Lactate Threshold
Onset of blood lactate accumulation.
Life SciencesSports Science — Oxygen Debt (EPOC)
Excess post-exercise oxygen consumption.
Life SciencesSports Science — Heart-rate Zones
Estimating and targeting training intensity.
Life SciencesSports Science — Muscle Fibre Types
Slow- and fast-twitch fibres.
Life SciencesSports Science — Levers in the Body
The three classes of biological lever.
Chemistry & PhysicsSports Science — Impulse in Sport
Why follow-through and cushioning matter.
Chemistry & PhysicsSports Science — Projectiles in Sport
Optimising range of a thrown or struck object.
Chemistry & PhysicsEnvironment — Air Quality Index
Pollutants behind the air quality index.
Chemistry & PhysicsEnvironment — Dissolved Oxygen
Measuring oxygen in water (Winkler method).
Chemistry & PhysicsEnvironment — Gas Chromatography
Separating volatile mixtures.
Chemistry & PhysicsEnvironment — pH Electrode
How a glass electrode measures pH.
Chemistry & PhysicsBiology — PCR Amplification
Exponential copying of DNA.
Life SciencesBiology — Western Blot
Detecting a specific protein.
Life SciencesBiology — ELISA
Antibody-based quantification.
Life SciencesBiology — Protein Chromatography
Purifying proteins by different properties.
Life SciencesBiology — Centrifugation
Separating particles by sedimentation.
Life SciencesBiology — Flow Cytometry
Analysing cells one at a time.
Life SciencesBiology — Gene Cloning
Inserting a gene into a host.
Life SciencesBiology — Types of Microscopy
Resolution limits of light and electron microscopes.
Life SciencesMath — Likelihood Ratio
Weighing evidence for competing hypotheses.
MathematicsMath — Significant Figures
Rules for precision in calculations.
MathematicsMath — Calibration Curves
Finding an unknown from a standard line.
MathematicsMath — Detecting Outliers
Z-score and interquartile-range rules.
MathematicsMath — Bootstrap Resampling
Estimating uncertainty by resampling.
MathematicsMath — Effect Size
Cohen's d and the size of an effect.
MathematicsMath — Meta-analysis
Pooling results across studies.
MathematicsMath — Correlation vs Causation
Why association does not imply cause.
MathematicsEnvironment — Geiger Counter
Measuring ionising radiation.
Chemistry & PhysicsEnvironment — Measuring Wind
Dynamic pressure and wind-speed sensors.
Chemistry & PhysicsEnvironment — Light Meter
Illuminance and the inverse-square law.
Chemistry & PhysicsEnvironment — Sound Level Meter
Measuring noise on the decibel scale.
Chemistry & PhysicsMath — Newton-Raphson Method
Iterative root finding and its quadratic convergence.
MathematicsMath — Nash Equilibrium
Best responses and mixed strategies in game theory.
MathematicsMath — Chaos & the Logistic Map
Period doubling and the Lyapunov exponent.
MathematicsMath — Complex Analysis
Cauchy-Riemann equations and contour integration.
MathematicsMath — Calculus of Variations
The Euler-Lagrange equation for a functional.
MathematicsMath — Convolution
The convolution integral and the convolution theorem.
MathematicsPhysics — Navier-Stokes Equations
The governing equations of viscous fluid flow.
Scientific PlotsPhysics — Bernoulli's Equation
Energy conservation along a streamline.
Scientific PlotsPhysics — Hamiltonian Mechanics
Hamilton's equations and Poisson brackets.
Scientific PlotsPhysics — Tensors & General Relativity
The Einstein field equations and the metric.
Scientific PlotsEarth Science — Meteorology Equations
Lapse rate, humidity and the hydrostatic equation.
Scientific PlotsMath — Financial Mathematics
Compound interest, continuous growth and annuities.
MathematicsMath — Set Theory
Set operations, De Morgan's laws and counting.
MathematicsMath — Boolean Algebra
The laws of Boolean logic.
MathematicsPhysics — Waves & Optics
Wave speed, period, the wave equation and Snell's law.
Scientific PlotsMaths — Matrices & Determinants
2x2 determinant, inverse and transpose rules.
MathematicsMaths — Complex Numbers
Modulus, polar form and Euler's identity.
MathematicsPhysics — Electromagnetism
Lorentz force, Gauss's law, induction and light speed.
Scientific PlotsMaths — Vectors
Dot product, cross product and magnitude.
MathematicsPhysics — Quantum Mechanics
Photon energy, de Broglie, uncertainty and Schrodinger.
Scientific PlotsMaths — Sequences & Series
Arithmetic and geometric progressions.
MathematicsMaths — Quadratic Equations
The quadratic formula, discriminant and root relations.
MathematicsPhysics — Nuclear Physics
Mass-energy, the decay law, half-life and activity.
Scientific PlotsChemistry — Acids, Bases & Buffers
pH, the acid constant and Henderson-Hasselbalch.
Scientific PlotsPhysics — Rotational Dynamics
Torque, angular momentum, energy and kinematics.
Scientific PlotsMaths — Integration
Standard integrals and the fundamental theorem.
MathematicsPhysics — Magnetic Fields
Forces on wires and charges, and field of a wire.
Scientific PlotsChemistry — Redox Reactions
Half-equations and cell potential.
Scientific PlotsPhysics — The Photoelectric Effect
Photon energy, work function and stopping voltage.
Scientific PlotsChemistry — Entropy & Free Energy
Entropy change and spontaneity.
Scientific PlotsPhysics — Power & Efficiency
Power in mechanical and electrical forms.
Scientific PlotsChemistry — Empirical & Molecular Formulae
Finding formulae from masses.
Scientific PlotsPhysics — Resistance & Resistivity
Resistance from geometry and temperature.
Scientific PlotsChemistry — Concentration
Molar concentration, mass concentration and ppm.
Scientific PlotsMaths — Circle Measures
Area, circumference, arc length and sector area.
MathematicsPhysics — Pressure
Pressure, hydrostatics, Boyle's law and upthrust.
Scientific PlotsMaths — Pythagoras & Distance
The theorem and the distance formula.
MathematicsPhysics — Circular Motion
Speed, angular speed and centripetal force.
Scientific PlotsChemistry — Rate Constant & Arrhenius
Rate law, Arrhenius and its linear form.
Scientific PlotsMaths — Laws of Logarithms
Product, quotient, power and change of base.
MathematicsPhysics — Density & Pressure
Density, mass and relative density.
Scientific Plots