transferred it to her notebook.

"Ma'am?" asked the maid. She was a thin woman, about thirty. The little finger of her left hand was gone.

"You can start now." Clea leaned back in the beauty-hammock and lifted the dark mass of her hair from her neck. The maid caught the ebony wealth with one hand and reached for the end of the four yards of silver chain strung with alternate pearls and diamonds each inch and a half.

"Ma'am?" asked the maid again. "What are you figuring on?"

"I'm trying to determine the inverse sub-trigonometric functions. Dalen Golga, he was my mathematics professor at the university, discovered the regular ones, but nobody's come up with the inverses yet."

"Oh," said the maid. She ceased weaving the jeweled chain a moment, took a comb, and whipped it through a cascade of hair that fell back on Clea's shoulder. "Eh ... what are you going to do with them, once you find them?"

"Actually," said Clea. "Ouch ..."

"Oh, pardon me, I'm sorry, please ..."

"Actually," went on Clea, "they'll be perfectly useless. At least as far as anyone knows now. They exist, so to speak, in a world that has little to do with ours. Like the world of imaginary numbers, the square root of minus one. Eventually we may find use for them, perhaps in the same way we use imaginary numbers to find the roots of equations of a higher order than two, because cosine theta plus I sine theta equals e to the I sine theta, which lets us ..."

"Ma'am?"

"Well, that is to say they haven't been able to do anything like that with the sub-trigonometric functions yet. But they're fun."

"Bend your head a little to the left, ma'am," was the maid's comment.

Clea bent.

"You're going to look beautiful." Four and five fingers wove deftly in her hair. "Just beautiful."

"I hope that Tomar can get here. It's not going to be any fun without him."

"But isn't the King coming?" asked the maid. "I saw his acceptance note myself. You know it was on very simple paper. Very elegant."

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