Paper IV · Visual guide
Explore the 26 visuals
Read the worked models with their original drawings, selectable equations, text descriptions, and tables. Each visual links to the manuscript statements it illustrates.
Visual guide PDF · Download editable sources
Start with the algebra of cyclic functions, then explore zero geometry. The coefficient walkthrough follows one coefficient through the whole calculation; the evidence guide explains the recorded checks.
Choose a visual
- A coefficient can become zero dataPDF
- Two variables, several normalizationsPDF
- A root filter is an exact votePDF
- Products mix the residue lanesPDF
- One signed edge determines the cyclePDF
- Addition is quotient multiplicationPDF
- Why a hypergeometric name appearsPDF
- Four zeros become one orbit zeroPDF
- A reciprocal is a triangular solvePDF
- The reciprocal order is a polynomialPDF
- Two recurrences reach the same answerPDF
- Compress the ODE into a tangentPDF
- A complex power needs a domainPDF
- Three similar reciprocals differPDF
- An infinite symbol acts finitelyPDF
- Scale and order enter differentlyPDF
- Growth comes from a polygonPDF
- Two large terms nearly cancelPDF
- A root estimate becomes a certificatePDF
- Counting changes under the power mapPDF
- A product and an operator share zerosPDF
- Finite coefficients give infinite momentsPDF
- Nearest poles set coefficient growthPDF
- Convergence is not continuationPDF
- One closed calculation: the number 69PDF
- What is evidence, and for what?PDF
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