Dimension Analysis ("DA") is one of the qualitative analysis.
It is useful to understand qualitative aspect of formulation.
And it is also useful to check calculation.
You may find problems in the "theory" easily with DA, even if the "theory" is difficult and complicated.
The "dimension" here is a unit.
You may learn
promptly, when you use DA.
Quantative Analysis with Dimension Analysis
It is DA when you check the items below.
Both side of the formulation
: Check unit of both side and understand what is suggested
Addition, Subtraction, Multiplication and Division
: Check Addition, Subtraction, Multiplication and Division and understand what is calculated
Look for quantity with zero dimension
: Zero dimension is useful
Check Formulation with Dimension Analysis
Both side of formulation
: The unit of left side and right side is same
Addition and Subtraction
: Addition and Subtraction between different unit is forbidden
: You cannot compare the numbers between different units
: Division between same units makes zero dimension
Check dimension when you change formulation and define quantity.
Profit of Dimension Analysis
Differential calculus and integral calculus are often used in data science.
With consciousness of dimension, you may learn differential calculus and integral calculus easily.
NEXT Addition Model and Division Model