How to use quantity calculus for unit conversion and keeping track of units in algebraic manipulations is explained in the handbook on Quantities, Units and Symbols in Physical Chemistry.
22.
Sammet founded the ACM Special Interest Committee on Symbolic and Algebraic Manipulation ( SICSAM ) in 1965 and was Chair of the Special Interest Group on Programming Languages ( SIGPLAN ).
23.
In 1977, James Gosling received a Ph . D in Computer Science from Carnegie Mellon University, and his doctoral thesis was titled " The Algebraic Manipulation of Constraints ".
24.
Many of the simpler rules can be produced using only algebraic manipulation, creating sum of each digit times a power of 10 each digit's power can be manipulated individually.
25.
By differentiating both equations with respect to " x ", and some algebraic manipulation, we obtain a pair of hyperbolic partial differential equations each involving only one unknown:
26.
You can solve it just with algebraic manipulations, but you run into problems like your disappearing x term in the denominator providing a zero crossing of sorts at x = 0.
27.
The combination of a compositional syntax that mirrors such a semantics makes concatenative languages highly amenable to algebraic manipulation of programs; although it may be difficult to write mathematical expressions directly in them.
28.
Computer algebra systems can be used to automate some or all of the work involved in the symbolic techniques above, which is particularly useful when the algebraic manipulations involved are very complex or lengthy.
29.
We shall therefore now consider only arguments that prove the theorem directly for any matrix using algebraic manipulations only; these also have the benefit of working for matrices with entries in any commutative ring.
30.
By introducing these transcendental functions and noting the bijection property that implies an inverse function, some facility was provided for algebraic manipulations of the natural logarithm even if it is not an algebraic function.
