Math 2.0

concept

Line integral of a scalar field

Summary

The line integral of a scalar field along a curve adds up the values of the field along the curve. Each value is weighted by a small length of the curve. For a non-negative field on a plane curve, it is the area of the curtain between the curve and the graph of the field.

What this node needs for W1
  • an inventory row: the row of the inventory that the node accounts for (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

What this needs

To read this node, read these 7 nodes in this order. The foundations come first, and the list ends with this node.

Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptVector-valued function, concept, no evidence levelVector-valued functionconceptParametrised curve, concept, no evidence levelParametrised curveconceptRectifiable curve, concept, no evidence levelRectifiable curveconceptLine integral of a scalar field, concept, no evidence levelLine integral of a sc…concept
Each node uses the nodes above it. The colour of the bar on a box shows the evidence level, and the box also gives it as text. The list below has the same nodes.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Vector-valued function concept
  5. Parametrised curve concept
  6. Rectifiable curve concept
  7. Line integral of a scalar field concept

Sources

  1. Web https://en.wikipedia.org/wiki/Line_integral, Line integral of a scalar field

What links here

Definitions