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Research draft

calculation

vr.tr.calculation · ACT.ACT

Let an agent perform and explain calculations, choose appropriate methods and precision, check results, and describe calculation history and tools.

Thing Registry Activities and processes

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify

Researched by: Claude

Purpose and description

Let an agent perform and explain calculations, choose appropriate methods and precision, check results, and describe calculation history and tools.

A deliberate process of determining a result from given data by arithmetic, algebraic or algorithmic steps, performed mentally, on paper, with instruments or by computers, from back-of-the-envelope estimates and written calculation to precomputation, cryptographic processing and numerical methods; calculation is distinct from measurement and from guessing and is governed by rules of precision and error.

What it is for: Determining results by rule-governed steps.

It can be perform and explain calculations; choose methods and precision; check and verify results; describe tools and history.

Distinguishing features

Rule-governed

Data to result

Precision-aware

Manual or machine

What it looks like

Not physical; steps and results, on paper or in machines.

How it is recognised

Rule-governed steps to a result

From estimate to exact

Measurement observes rather than computes

Related models

is a kind of - category

planned process

is related to - fixed inputs

constant

is related to - large number handling

billion

is related to - an example of applied calculation

dissociation constant

In practice

Families and kinds

mental and estimation calculation

written calculation

instrument and calculator use

computer and numerical calculation

precomputation and cryptographic processing

Standards and regulation

Rounding and significant figure conventions

Floating point standards such as IEEE 754

Verification practices in engineering

Failure modes and hazards

Arithmetic and rounding errors

Floating point pitfalls such as flush to zero

Garbage in, garbage out

Also called

cryptographic data processingcasting lotsprecomputationflush to zerowritten calculationback-of-the-envelope calculationfinger-countingChisanbopband structure calculationcomputer arithmeticcomputationcalculatingVerbal arithmeticpropagation of uncertaintyneuromorphic computingdifferentiationtechnical indicatordiallingsatellite navigation solutionconversion of unitsquantity calculussemantic computingFixed-precision arithmeticfloating point arithmetichashingcompilationevolutionary computingternary computingheterogeneous computingrandom number generationneural computationGenerating primesCommodity computingincremental computationAlphametics with blank spacesparametric differentiationaccumulation/distribution indexoscillatorRandom Walk Indexconversion of units of temperature

+18

Where this came from

wikidata · CC0 1.0

Source repository Registry entry point

Also registered as vr.tr.calculation

Drafted structure

Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.

Do Performing a calculation.

Method.

Method

Choosing a method.

Method

Method.

  1. Which method suits this calculation, from estimate to exact, and what precision is needed? action
  2. How should the steps be laid out? action

Check

Checking results.

Check

Checking.

  1. How can the result be checked by estimation, inverse operations or independent methods? action
  2. What error bounds apply? measurement
Estimate Quick calculation.

Approximation.

Envelope

Back-of-the-envelope.

Envelope

Estimation.

  1. How can a back-of-the-envelope estimate be made for this question, and how reliable is it? action
  2. Which approximations are acceptable? boundary

Mental

Mental arithmetic.

Mental

Mental arithmetic.

  1. Which mental arithmetic techniques help here? action
  2. How can they be practised? action
Machine Computer calculation.

Numerics.

Floating

Floating point.

Floating

Floating point.

  1. How do floating point representation, rounding and flush-to-zero affect this calculation? definition
  2. How can numerical error be controlled? action

Precompute

Precomputation and crypto.

Precompute

Precomputation.

  1. What are precomputation and cryptographic data processing, and when are they used? definition
  2. Which entry fits a specific algorithm? action
Learn History and teaching.

Context.

History

History of calculation.

History

History.

  1. How did calculation develop, from counting boards and written algorithms to calculators and computers? provenance
  2. What was casting lots as a decision method? provenance

Teach

Teaching.

Teach

Teaching.

  1. How can calculation skills and estimation be taught? action
  2. Which misconceptions arise? provenance

What the second pass must settle

  • Should numerical analysis be a separate entry?
  • How should calculator tools be linked?
  • How should error conventions be linked?
Draft as JSON