The Emergence Machine

Integral

abstract · Mathematics · Level 7 · E0

E0Spacetime

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

The integral is a mathematical operation that calculates the total accumulation of a quantity over a defined interval or region, often represented as the area under a curve or the sum of infinitesimal values, which relies on the mathematical concepts of measurement and geometry.

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Wiktionary senses

External reference — all senses of the word “integral” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “integral”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
integralis
Origin language
la

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL7L6L5L4L3L2L1L0IntegralAreaPlaneGeometryLineFunctionMathematical Str…ShapeOperationValueFormMeasurementActionChangeMatterQualityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

thisprerequisitesIntegralL7OperationL2ValueL2FunctionL3AreaL6E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Operation L2 (requires)
    The integral is a mathematical operation that calculates the total accumulation of a quantity over a defined interval or region, often represented as the area under a curve or the sum of infinitesimal values.
  • Value L2 (requires) polysemous
    The integral is a mathematical operation that calculates the total accumulation of a quantity over a defined interval or region, often represented as the area under a curve or the sum of infinitesimal values.
  • Function L3 (requires)
    An integral is a mathematical operation that calculates the accumulation of values of a function.
  • Area L6 (requires)
    Integration computes the total accumulation of quantities across a region, which relates to measuring enclosed areas.