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-
-
- From the
- JOKIN' AROUND DISK
- by
- LEEJAN ENTERPRISES
- P.O. Box 66. Happy Valley.
- South Australia. 5159.
-
-
-
- Once upon a time (1/T), pretty Polly Nomial was strolling across a
- field of vector when she came to the edge of a singularly large
- matrix.
-
- Now Polly was convergent, and her mother had made it an absolute
- condition that she must never enter such an array without her brackets
- on. Polly, however, had changed her variables that moring and was
- feeling particularly badly behaved, ignored this condition on the
- grounds that it was insufficient, and made her way in among the
- complex elements.
-
- Rows and columns enveloped her on all sides. Tangents approached her
- surface. Polly became tensor and tensor. Quite suddenly, three
- branches of a hyperbola touched her at a single point. She oscillated
- violently, lost all sense of directrix, and went completely divergent.
- As she reached a turning point, she tripped over a square root which
- was protruding from the ERF, and plunged down a steep gradient. When
- Polly was differentiated once more, she found herself, apparently
- alone, in a non-Euclidian space.
-
- She was being watched, however. That smooth operator, Curly Pi, was
- lurking inner product. As his eyes devoured her curvilinear
- coordinates, a singular expression crossed his face. Was she still
- convergent, he wondered? Curly decided to integrate improperly at
- once!
-
- Hearing a vulgar fraction behind her, Polly turned round and saw Curly
- Pi approching with his power series extrapolated. She could see at
- once, by his degenerate conic and his dissipative terms, that he was
- bent on no good.
-
- "Eureka, " she gasped!
-
- "Ho, ho," Curly said. "What a symmetric little pollynomial you are! I
- can see that you're bubling over with secs."
-
- "O sir," she protested, "keep away from me. I haven't got my brackets
- on!"
-
- "Calm yourself, my dear," said our suave operator, "Your fears are
- purely imaginary."
-
- "I,I," she thought. "Perhaps he's homogenous, then."
-
- "What order are you?" The brute demanded.
-
- "Seventeen," replied Polly.
-
- Curly leered. "I suppose you've never been operated on yet," he said.
-
- "Of course not," Polly cried indignantly! "I'm absolutely convergent!"
-
- "Come, come," said Curly. "Let's off to a decimal place I know, and
- I'll take you to the limit!"
-
- "Never!" gasped Polly.
-
- "EXCHLF," he swore, using the vilest oath he knew. Curly's patience
- was gone. Coshing her over the coefficient with a log until Polly was
- powerless, Curly removed her discontinuities. He stared at her
- significant places, and began smoothing her points of inflection. Poor
- Polly. all was up. She felt his hand tending to her asymptotic limit.
- Her convergence would soon be gone forever.
-
- There was no mercy, for Curly was a heavyside operator. He integrated
- by parts. He integrated by fractions. The complex beast even went all
- the way around and did a contour integration! What an indignity! To be
- multiply connected on her first integration! Curly went on operating
- until he was absolutely and completely orthogonal.
-
- When Polly got home, her mother noticed that she had been truncated in
- several places, but it was to late to differentiate now. As the months
- went by, Polly increased monotonically. Finally, she generated a small
- but pathological function which left surds all over the place, until
- she was driven to diffraction.
-
- The moral of our sad story is this: If you want to keep your
- expressions convergent, never allow them a single degree of freeedom.
-
-
- From the
- JOKIN' AROUND DISK
- by
- LEEJAN ENTERPRISES
- P.O. Box 66. Happy Valley.
- South Australia. 5159.
-
-
-