
Grand Magus |

A PRETTY LITTLE POLYNOMIAL
Once upon a time (1/t) a pretty little Polynomial was strolling across
a field of vectors 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 an array without her brackets on.
Polly, however, who had changed her variables that morning and was
feeling particularly badly behaved, ignored this condition on the
grounds that it was insufficient and made her way in amongst the
complex elements. Rows and columns enveloped her on all sides, Tangents
approached her surface - she 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 headlong down a
steep gradient. When she was differential once more, she found herself,
apparently, in a non-Euclidean space.
She was being watched however. That smooth operator Curly Pi, was
lurking inner product. As his eyes devoured her curvilinear coordinate
a circular expression crossed his face. "Was she convergent?", he
wondered. He decided to integrate improperly at once. Hearing a vulgar
fraction behind her, Polly turned round and saw Curly Pi approaching
her with his power series extrapolated. She could see at once by his
degenerate conic and his dissipate terms that he was bent on no good.
"Eureka" she gasped.
"Ho, ho" he said, "What a symmetric little Polynomial you are. I can
see you're absolutely bubbling over with secs."
"O Sir", she protested, "keep away from me. I haven't got my brackets
on."
"Calm yourself, my dear", said our smooth operator.
"i, i" she thought, "perhaps he's homogeneous then?"
"What order are you?", the brute demanded.
"17", replied Polly.
Curly leered, "I suppose you've never been operated on before?" he said.
"Of course not", Polly replied indignantly, "I'm absolutely convergent".
"Come, come", said Curly, "let's take off to a decimal place I know,
and I'll take you to the limit."
"Never" gasped Polly.
"P1000", he swore, using the vilest oath he knew. His patience was gone.
Coshing her over the coefficient with a lot until she was powerless,
Curly removed her discontinuities. He stared at her significant places
and began smoothing her points of inflection. Poor Polly was all up.
She felt her hand tending to her asymptotic limit. Her convergence
would soon be gone for ever.
There was no mercy, for Curly was a Heavy side operator. He integrated
by partial fractions. The complex beast even went all the way round and
did a contour integration; Curly went on until he was absolutely
orthogonal.
When Polly got home that evening, her mother noticed that she had been
truncated in several places. But it was too 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 distraction.
The moral of our sad story is this: never, if you want to keep your
expressions convergent, allow them a single degree of freedom.

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What's that cutlass?
PirateDevon is the winner!
Huh my cutlass says stuff too...
You either did not listen to your cutlass or it told you lies cause we kicked your butt ... perhaps when you were trying to listen to your cutlass mine telepathically talks to me. And it tells me I've won.

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DJ-Bogie wrote:KaeYoss wrote:Not on my watch!
I win.What would I be doing on your watch? Plus, as a disembodied eye, how can you wear a watch?
I win because this guy here is being silly.
Pfft silly jester. He doesn't wear a watch he is constantly on a watch. Not blinking makes him good at seeing that I am winning. On his watch.

KaeYoss |

KaeYoss wrote:Pfft silly jester. He doesn't wear a watch he is constantly on a watch. Not blinking makes him good at seeing that I am winning. On his watch.DJ-Bogie wrote:KaeYoss wrote:Not on my watch!
I win.What would I be doing on your watch? Plus, as a disembodied eye, how can you wear a watch?
I win because this guy here is being silly.
He can't see what he can't see. But I can, so I win.

KaeYoss |

Contrary to popular belief, you actually can predict the outcome of an emerging system. Or, at least, I can. And I predicted what to do to win this thread. Nobody else can know until it's too late to change the outcome, so you might as well give up now.
Eventual win.
(and yes, I anticipated your responses, and they play right into my hands. Unless you don't respond, which plays right into my hands, too).