D00 / Foundation layer — under all 49 territories
Financial Mathematics, Statistics, and Data Foundations
The quantitative language, statistical judgment, and implementation discipline every later domain assumes.
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Complete builds
in this territory.
Every card below is a finished engineering package: article, sources, tested Python and TypeScript, and labs.
Search the full libraryMathematical Language and Quantitative Reasoning
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Variables, Constants, Expressions, and Equations
Learn to read a financial formula as a small sentence about money.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Functions, Domains, Ranges, and Graphs
See a function as a rule that turns an allowed input into one output.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Ratios, Proportions, Rates, and Percentages
Compare amounts fairly by making the denominator and the unit visible.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Percentage Change, Percentage Points, and Basis Points
Use three different languages for change without mixing them up.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Exponents, Roots, and Logarithms
Understand growth, undoing a power, and asking “which power?” in plain language.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Summation, Products, and Index Notation
Read a compact list instruction as “add these” or “multiply these.”Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Linear Equations and Systems
Find unknown amounts when several simple balances must be true at once.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Inequalities, Bounds, and Constraints
Describe what is allowed when the answer is a safe range, not one exact number.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Units, Dimensions, Scale, and Normalization
Keep the meaning attached to every number, even when the scale changes.Financial Mathematics, Statistics, and Data Foundations / Mathematical Language and Quantitative Reasoning
Rounding, Precision, Tolerance, and Significant Digits
Show only as many digits as the information can honestly support.Financial Arithmetic, Time Value, and Returns
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Simple Interest
See how a fixed rate adds interest to the original amount without adding yesterday's interest to today's base.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Compound Interest
See how each period can earn interest on the amount already built up, not only on the starting amount.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Present Value and Future Value
Translate money at one date into an equivalent amount at another date using a stated growth rate.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Discount Factors and Discount Rates
Use one small factor to show how much of a future amount is worth at an earlier date.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Cash-Flow Timelines and Net Present Value
Place each cash flow on a timeline, translate each one to the same date, and add the signed values.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Simple Return
Measure the change from a starting investment to an ending value, including cash received along the way.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Log Return
Use the natural logarithm of the ending value divided by the starting value to describe multiplicative change on an additive scale.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Holding-Period and Cumulative Return
Combine several period returns by multiplying their growth factors, then compare the result with the start of the whole path.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Arithmetic versus Geometric Average Return
Use a simple average to describe a typical one-period rate, and a geometric average to summarize a compounded path.Financial Mathematics, Statistics, and Data Foundations / Financial Arithmetic, Time Value, and Returns
Return Annualization and Deannualization
Translate a return over one length of time into an equivalent yearly rate, or reverse that translation, using compounding.Data, Variables, Samples, and Measurement
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Observations, Entities, Variables, and Datasets
An entity is the thing we study, an observation is one recorded case, a variable is a named property, and a dataset is an organized collection of observations.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Numeric, Categorical, Ordinal, and Binary Variables
Numeric values support arithmetic, categorical values name groups, ordinal values have an order but not a trustworthy distance, and binary values represent two states.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Population, Sample, Census, and Sampling Frame
The population is the full group of interest, a sample is the observed subset, a census attempts to measure every population member, and a sampling frame is the operational list from which selection occurs.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Cross-Sectional, Time-Series, Panel, and Event Data
Cross-sectional data varies mainly across entities, time-series data follows one unit across time, panel data follows multiple entities across time, and event data records occurrences at event times.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Identifiers, Keys, Joins, and Data Grain
An identifier names an entity, a key uniquely identifies a record at the declared grain, and a join combines records according to matching keys.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Timestamps, Time Zones, Calendars, and Observation Time
A timestamp needs an instant or timezone context, while a calendar defines valid business dates; observation time should remain distinct from ingestion and publication time.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Missing, Nonfinite, Censored, and Truncated Values
Missing means no usable value is present, nonfinite includes infinities and NaN-like numerical states, censoring preserves a bound without the exact value, and truncation removes cases outside a selection boundary.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Measurement Error, Resolution, Accuracy, and Precision
Error is measured minus reference, accuracy concerns closeness to an accepted reference, precision concerns repeatability, and resolution is the smallest display or recording increment.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Revisions, Vintages, and Point-in-Time Availability
A revision changes a previously reported value, a vintage is the dataset as known at a particular time, and point-in-time retrieval selects only records available by the as-of cutoff.Financial Mathematics, Statistics, and Data Foundations / Data, Variables, Samples, and Measurement
Data Provenance, Lineage, Ownership, and Licensing
Provenance records origin, lineage records transformations, ownership assigns stewardship, and licensing states permitted use.Location, Ranking, and Exploratory Summaries
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Count, Sum, Minimum, Maximum, and Range
A production-minded guide to Count, Sum, Minimum, Maximum, and Range.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Arithmetic Mean
A production-minded guide to Arithmetic Mean.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Weighted Mean
A production-minded guide to Weighted Mean.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Median and Mode
A production-minded guide to Median and Mode.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Trimmed and Winsorized Means
A production-minded guide to Trimmed and Winsorized Means.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Percentiles, Quantiles, and Quartiles
A production-minded guide to Percentiles, Quantiles, and Quartiles.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Ranks, Ties, and Percentile Rank
A production-minded guide to Ranks, Ties, and Percentile Rank.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Frequency Tables and Relative Frequency
A production-minded guide to Frequency Tables and Relative Frequency.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Histograms and Empirical Distribution Functions
A production-minded guide to Histograms and Empirical Distribution Functions.Financial Mathematics, Statistics, and Data Foundations / Location, Ranking, and Exploratory Summaries
Five-Number Summary and Box Plot
A production-minded guide to Five-Number Summary and Box Plot.Dispersion, Shape, and Robust Statistics
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Deviation, Absolute Deviation, and Squared Deviation
A production-minded guide to Deviation, Absolute Deviation, and Squared Deviation.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Range and Interquartile Range
A production-minded guide to Range and Interquartile Range.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Mean Absolute Deviation
A production-minded guide to Mean Absolute Deviation.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Median Absolute Deviation
A production-minded guide to Median Absolute Deviation.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Population and Sample Variance
A production-minded guide to Population and Sample Variance.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Population and Sample Standard Deviation
A production-minded guide to Population and Sample Standard Deviation.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Coefficient of Variation and Scale Comparability
A production-minded guide to Coefficient of Variation and Scale Comparability.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Z-Score, Robust Z-Score, and Standardization
A production-minded guide to Z-Score, Robust Z-Score, and Standardization.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Skewness and Tail Asymmetry
A production-minded guide to Skewness and Tail Asymmetry.Financial Mathematics, Statistics, and Data Foundations / Dispersion, Shape, and Robust Statistics
Kurtosis, Excess Kurtosis, and Tail Weight
A production-minded guide to Kurtosis, Excess Kurtosis, and Tail Weight.Probability and Random Variables
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Experiments, Outcomes, Sample Spaces, and Events
A production-minded guide to Experiments, Outcomes, Sample Spaces, and Events.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Probability Rules, Complements, Unions, and Intersections
A production-minded guide to Probability Rules, Complements, Unions, and Intersections.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Conditional Probability
A production-minded guide to Conditional Probability.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Independence and Dependence
A production-minded guide to Independence and Dependence.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Bayes' Theorem and Base Rates
A production-minded guide to Bayes' Theorem and Base Rates.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Discrete and Continuous Random Variables
A production-minded guide to Discrete and Continuous Random Variables.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Expected Value
A production-minded guide to Expected Value.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Variance, Moments, and Moment-Generating Intuition
A production-minded guide to Variance, Moments, and Moment-Generating Intuition.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Joint, Marginal, and Conditional Distributions
A production-minded guide to Joint, Marginal, and Conditional Distributions.Financial Mathematics, Statistics, and Data Foundations / Probability and Random Variables
Covariance and Correlation of Random Variables
A production-minded guide to Covariance and Correlation of Random Variables.Probability Distributions and Simulation Basics
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
PMF, PDF, CDF, Survival, and Quantile Functions
A production-minded guide to PMF, PDF, CDF, Survival, and Quantile Functions.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Bernoulli and Binomial Distributions
A production-minded guide to Bernoulli and Binomial Distributions.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Poisson Distribution and Event Counts
A production-minded guide to Poisson Distribution and Event Counts.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Uniform Distribution and Random Sampling
A production-minded guide to Uniform Distribution and Random Sampling.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Normal Distribution and Standard Normal
A production-minded guide to Normal Distribution and Standard Normal.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Lognormal Distribution and Positive Quantities
A production-minded guide to Lognormal Distribution and Positive Quantities.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Student-t Distribution and Heavy Tails
A production-minded guide to Student-t Distribution and Heavy Tails.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Exponential, Gamma, and Weibull Waiting-Time Models
A production-minded guide to Exponential, Gamma, and Weibull Waiting-Time Models.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Mixture Distributions, Multimodality, and Fat Tails
A production-minded guide to Mixture Distributions, Multimodality, and Fat Tails.Financial Mathematics, Statistics, and Data Foundations / Probability Distributions and Simulation Basics
Random Sampling and Monte Carlo Intuition
A production-minded guide to Random Sampling and Monte Carlo Intuition.Sampling, Estimation, and Statistical Inference
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Parameters, Statistics, Estimands, and Estimators
A production-minded guide to Parameters, Statistics, Estimands, and Estimators.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Sampling Distributions
A production-minded guide to Sampling Distributions.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Estimator Bias, Consistency, Efficiency, and Robustness
A production-minded guide to Estimator Bias, Consistency, Efficiency, and Robustness.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Law of Large Numbers
A production-minded guide to Law of Large Numbers.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Central Limit Theorem
A production-minded guide to Central Limit Theorem.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Standard Error
A production-minded guide to Standard Error.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Confidence Intervals and Coverage
A production-minded guide to Confidence Intervals and Coverage.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Null and Alternative Hypotheses
A production-minded guide to Null and Alternative Hypotheses.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
P-Values, Significance, Type I/II Errors, and Power
A production-minded guide to P-Values, Significance, Type I/II Errors, and Power.Financial Mathematics, Statistics, and Data Foundations / Sampling, Estimation, and Statistical Inference
Effect Size, Practical Significance, and Multiple Comparisons
A production-minded guide to Effect Size, Practical Significance, and Multiple Comparisons.Dependence, Regression, and Model Foundations
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Scatter Plots, Association, and Nonlinear Patterns
A production-minded guide to Scatter Plots, Association, and Nonlinear Patterns.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Sample Covariance Calculation and Interpretation
A production-minded guide to Sample Covariance Calculation and Interpretation.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Pearson Correlation Calculation and Interpretation
A production-minded guide to Pearson Correlation Calculation and Interpretation.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Spearman Rank Correlation and Kendall Tau
A production-minded guide to Spearman Rank Correlation and Kendall Tau.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Correlation, Causation, Confounding, and Spurious Relationships
A production-minded guide to Correlation, Causation, Confounding, and Spurious Relationships.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Simple Ordinary Least Squares Regression
A production-minded guide to Simple Ordinary Least Squares Regression.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Intercepts, Slopes, Coefficients, and Predictions
A production-minded guide to Intercepts, Slopes, Coefficients, and Predictions.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Residuals, MAE, MSE, and RMSE
A production-minded guide to Residuals, MAE, MSE, and RMSE.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
R-Squared and Adjusted R-Squared
A production-minded guide to R-Squared and Adjusted R-Squared.Financial Mathematics, Statistics, and Data Foundations / Dependence, Regression, and Model Foundations
Regression Assumptions, Heteroskedasticity, and Multicollinearity
A production-minded guide to Regression Assumptions, Heteroskedasticity, and Multicollinearity.Financial Time-Series Foundations
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Time Order, Frequency, Regularity, and Financial Calendars
A production-minded guide to Time Order, Frequency, Regularity, and Financial Calendars.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Levels, Changes, Differences, and Returns
A production-minded guide to Levels, Changes, Differences, and Returns.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Lags, Leads, and Temporal Dependence
A production-minded guide to Lags, Leads, and Temporal Dependence.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Rolling and Expanding Windows
A production-minded guide to Rolling and Expanding Windows.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Resampling, Aggregation, and Time Alignment
A production-minded guide to Resampling, Aggregation, and Time Alignment.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Trend, Seasonality, Cycles, and Remainder
A production-minded guide to Trend, Seasonality, Cycles, and Remainder.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Autocovariance and Autocorrelation
A production-minded guide to Autocovariance and Autocorrelation.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Stationarity and Differencing Intuition
A production-minded guide to Stationarity and Differencing Intuition.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Smoothing, Baselines, and Naive Forecasts
A production-minded guide to Smoothing, Baselines, and Naive Forecasts.Financial Mathematics, Statistics, and Data Foundations / Financial Time-Series Foundations
Look-Ahead Leakage and Time-Aware Data Splits
A production-minded guide to Look-Ahead Leakage and Time-Aware Data Splits.Financial Risk and Performance Statistics
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Volatility and Annualized Volatility
A production-minded guide to Volatility and Annualized Volatility.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Downside Deviation and Target Shortfall
A production-minded guide to Downside Deviation and Target Shortfall.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Drawdown and Maximum Drawdown
A production-minded guide to Drawdown and Maximum Drawdown.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Loss Distributions and Loss Quantiles
A production-minded guide to Loss Distributions and Loss Quantiles.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Value at Risk Intuition
A production-minded guide to Value at Risk Intuition.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Expected Shortfall Intuition
A production-minded guide to Expected Shortfall Intuition.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Beta and Market-Relative Risk
A production-minded guide to Beta and Market-Relative Risk.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Sharpe, Sortino, and Information Ratio Intuition
A production-minded guide to Sharpe, Sortino, and Information Ratio Intuition.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Active Return and Tracking Error
A production-minded guide to Active Return and Tracking Error.Financial Mathematics, Statistics, and Data Foundations / Financial Risk and Performance Statistics
Covariance Matrices, Portfolio Variance, and Diversification
A production-minded guide to Covariance Matrices, Portfolio Variance, and Diversification.Statistical Computing and Reproducibility
10 buildsFinancial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Floating-Point Representation, Overflow, and Underflow
A production-minded guide to Floating-Point Representation, Overflow, and Underflow.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Stable Summation and Mean Calculation
A production-minded guide to Stable Summation and Mean Calculation.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Stable Online Variance and Welford's Algorithm
A production-minded guide to Stable Online Variance and Welford's Algorithm.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Batch, Rolling, and Streaming Statistic Equivalence
A production-minded guide to Batch, Rolling, and Streaming Statistic Equivalence.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Missing, Infinite, Invalid, and Unsupported-State Policies
A production-minded guide to Missing, Infinite, Invalid, and Unsupported-State Policies.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Pseudorandom Numbers, Seeds, and Reproducibility
A production-minded guide to Pseudorandom Numbers, Seeds, and Reproducibility.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Vectorization, Index Alignment, and Shape Safety
A production-minded guide to Vectorization, Index Alignment, and Shape Safety.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Leakage-Free Fitting, Scaling, and Preprocessing
A production-minded guide to Leakage-Free Fitting, Scaling, and Preprocessing.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Fixtures, Numerical Tolerances, and Property Tests
A production-minded guide to Fixtures, Numerical Tolerances, and Property Tests.Financial Mathematics, Statistics, and Data Foundations / Statistical Computing and Reproducibility
Reproducible Analysis, Metadata, and Audit Trails
A production-minded guide to Reproducible Analysis, Metadata, and Audit Trails.The foundation ladder
12 modules,
in dependency order.
This domain is a course, not a catalog: 120 topics that every later territory quietly assumes you already have. Read it in order and the rest of the atlas stops requiring leaps of faith.
- D00-F01Mathematical Language and Quantitative Reasoning10 topics
- D00-F02Financial Arithmetic, Time Value, and Returns10 topics
- D00-F03Data, Variables, Samples, and Measurement10 topics
- D00-F04Location, Ranking, and Exploratory Summaries10 topics
- D00-F05Dispersion, Shape, and Robust Statistics10 topics
- D00-F06Probability and Random Variables10 topics
- D00-F07Probability Distributions and Simulation Basics10 topics
- D00-F08Sampling, Estimation, and Statistical Inference10 topics
- D00-F09Dependence, Regression, and Model Foundations10 topics
- D00-F10Financial Time-Series Foundations10 topics
- D00-F11Financial Risk and Performance Statistics10 topics
- D00-F12Statistical Computing and Reproducibility10 topics
Territory coverage
What this domain
is mapped to cover.
The published builds above are the released slice of this map. Every subject below belongs to this territory's charter.