diman.dimensions — com.neuralgraphs/diman 1.0.1

Contains definitions and their getters. These are:

• base_dimensions
• standard_formula
• grab-notation and grab-name from base-dimensions
• grab-sformula from standard-formula
• notation?
• matched-notation-sformula
• update-sformula

How to use

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(require '[diman.dimensions :refer [base_dimensions standard_formula
                                    grab-notation grab-name grab-sformula
                                    notation? matched-notation-sformula]])

Examples

View the seven fundamental dimensions

(pprint bas e_dimensions)

Get notation for the base dimension name "mass"

=> (grab-notation "mass")
"[M]"

Get base dimension name for notation "[M]"

=> (grab-name "[M]")
"mass"

View available standard formula

(pprint standard_formula)

Get formula of a quantity in the standard formula

=> (grab-sformula "acceleration")
"[L^(1)*T^(-2)]"

Notice that a formula in standard_formula is a dimensional formula and hence as a consequence a dimension.

Get matching notation/standard formula of a defined symbol

Let us define symbol x, v, t and a representing a combination of variables and parameters as

(def varpars [{:symbol "x", :quantity "length"}
              {:symbol "v", :quantity "velocity"}
              {:symbol "t", :quantity "time"}
              {:symbol "a", :quantity "acceleration"}])

Then based on the dimensions defined for respective symbol use

=> (matched-notation-sformula varpars "x")
"[L]"
=> (matched-notation-sformula varpars "a")
"[L^(1)*T^(-2)]"

NOTE:

• definition of any single letter symbol must be a value to key :symbol
• and must also have the key :dimension whose value must be a string corresponding to either
  • one of the seven :name values, i.e, one of the seven fundamental dimensions
  • one of the quantity values, i.e, one of the standard formulae

base_dimensions clj

The Seven Fundamental/Base Dimensions. NOTE: This is fixed. See International Metrology

grab-name clj

(grab-name notation)

(grab-name notation bdim dim)

Returns name for any one of the 7-Base notations, else "nil".

grab-notation clj

(grab-notation name)

(grab-notation name bdim dim)

Returns notation for any one of the 7-Base dimensions, else "nil".

grab-sformula clj

(grab-sformula quantity)

(grab-sformula quantity sform form)

Returns formula for any one of the standard quantities (hence standard formula), else "nil".

matched-notation-sformula clj

(matched-notation-sformula varpar_def symb)

notation? clj

(notation? x)

standard_formula clj

Dimensional Formula for standard physical quantity. NOTE: This is subject to expansion. See International Metrology

update-sformula clj

(update-sformula x)

(update-sformula x y)