Xah's Edu Corner: The importance of syntax & notations.
this article should teach the coding sophomorons and computer “science” idiotic authors who harbor the notion that syntax is not important, picked up by all the elite i-reddit & twittering & hacker news am-hip dunces.
• The TeX Pestilence
• A Notation for Plane Geometry
• The Concepts and Confusions of Prefix, Infix, Postfix and Fully Nested Notations
• The Problems of Traditional Math Notation
> Could you elaborate on why dx/dy is no good? Have you written something on it?
not sure why it is not clear... there are so many problems.
a/b means a divided by b, or, a times the multiplicative inverse of b.
but, obviously, dx/dx does not mean a variable divided by another variable.
in another interpretation, dx can be thought of as a unary operator d(x). However, that does not make any sense. But suppose there is some sense, then d(x)/d(y) does not make sense, since it is not a division as before.
the notion of dx and dy as Infinitesimal has a logical foundation
however, even with that, i doubt the dx/dy notation is good on any math notation as computer language background.
See the links on Functional Math and formal math at middle of:
Thanks for writing.
upon a more detailed reading of Stephen's article, i discovered some errors.
On this page:
he mentions the Plimpton 322 tablet. It is widely taught in math history books, that this table is pythagorean triples.
On reading his article, i wanted to refresh my understanding of the subject, so i looked up Wikipedia:
apparantly, in recent academic publications, it is suggested that this is not pythagorean triples, but rather: “a list of regular reciprocal pairs”.