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J is a dialect of APL, a formal imperative language.  
Because it is imperative, a sentence in J may also be called 
an instruction, and may be executed 
to produce a result.  
Because it is formal and unambiguous it can be executed 
mechanically by a computer, and is therefore called 
a programming language.  
Because it shares the analytic properties of mathematical notation, 
it is also called an analytic language.
APL originated in an attempt to provide consistent notation for 
the teaching and analysis of topics related to the application of 
computers, and developed through its use in a variety of topics, 
and its implementation in computer systems
[1-5].
J is implemented in C (as detailed in 
Hui [6]), 
and is ported to a number of different host computer systems.  
The effect of the specific host is minimal, and communication 
with it is confined to the single foreign conjunction 
detailed in Appendix A.  See help files for other host 
facilities such as Windows.
The Introduction in this book provides guidance to beginners.  
References [7-9]
use J in the exposition of various 
mathematical topics.
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