Templates
One-click notebook starters: engineered workflows, not toy examples.
Convert nominal APR to effective annual rate (EAR) given compounding frequency. Useful for apples-to-apples comparisons.
Compute binomial probabilities for k successes in n trials with success probability p. Includes PMF, CDF, and inverse.
Compute CAGR between two values over time. Includes a quick check for negative growth and edge cases.
Compute compound interest with adjustable principal, rate, compounding frequency, and time. Includes sanity checks and what to verify.
Compute a t-based confidence interval for a sample mean when σ is unknown (educational). Includes margin of error and assumptions.
Convert ratios to dB and back. Includes 10·log10 for power and 20·log10 for voltage ratios with quick checks.
Fast unit sanity checks, dimensional intuition, and reusable conversions.
Explore exponential models y=y0·e^(kt) and y=y0·(1+r)^t, solve for doubling/half-life times, and plot.
Compute n!, nPr, and nCr with clear definitions and quick verification identities (educational).
Convert frequency to period (T=1/f) and compute angular frequency ω=2πf. Useful for oscillations and signals.
Compute LC resonant frequency f0 = 1/(2π√(LC)) with editable inductance and capacitance. Includes quick checks.
Compute fixed monthly payment for an amortized loan (mortgage/auto). Includes total paid and total interest.
Compute logs in different bases, convert between ln/log10/log_b, and verify with exponentiation.
Compute normal PDF, CDF, and inverse CDF (quantiles) with documented parameters. Great for z-scores and percentiles.
Solve Ohm's law relationships with clear variables and units. Includes power calculations and verification checks.
Define piecewise functions with {cond:expr, else:expr} and explore discontinuities.
Model counts with a Poisson rate λ: compute probabilities and cumulative probabilities for events.
Explore a quadratic f(x)=ax²+bx+c: compute vertex, discriminant, and roots, then plot in 2D Graph.
Solve ax²+bx+c=0 with the quadratic formula, compute discriminant, and verify roots by substitution.
Compute RC time constant and the capacitor charging curve V(t)=Vin(1−e^(−t/RC)). Great for intuition and quick checks.
Paste (x,y) points, fit models, inspect R², and plot alongside data.
Educational lab notebook for ζ(s), the critical line, and safe partial-sum experiments.
Compute ROI from gain and cost, and compare multiple scenarios side-by-side in a reproducible notebook.
Compute simple interest (I = P·r·t) and total amount. Good for quick estimates and verification baselines.
Explore y=A·sin(ωx+φ)+c, compute period and phase shift, and plot for intuition.
Compute t CDF values and critical t quantiles for confidence intervals and hypothesis tests (educational).
Compute divider output voltage with R1/R2, and explore sensitivity. Includes quick checks and practical notes.
Standardize a value, compute its percentile (normal assumption), and document whether the assumption is reasonable.
How Templates work
Templates are curated notebook starters — designed to be edited. Open one, run it, then tweak assumptions and save your own version.
- Templates open into Notebook via a local inbox bridge (offline-safe).
- Every template is meant to be modified: change constants, units, and initial conditions.
- Use snapshots and exports for repeatability and backups.
- If a result matters, verify it: unit checks + an alternate method (graph/estimate).
Recommended workflow
- Open a template, then read the first cell (assumptions + units).
- Run once with the default values to understand expected output.
- Edit parameters and rerun. Capture a snapshot when you reach a stable configuration.
- Save a copy (duplicate notebook) before major changes so you can branch scenarios.
Common mistakes
- Changing numbers without updating units/labels — keep units explicit.
- Overfitting a model to one case — test a second case to sanity-check.
- Copying outputs without recording assumptions — keep the assumptions cell with the result.