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The interface between two networks that cannot be directly connected for security reasons; refers to the practice of placing two terminals side by side and having an operator read from one and type into the other.

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tennis elbow

overuse strain injury

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tense

Of programs, very clever and efficient. A tense piece of code often got that way because it was highly bummed, but sometimes it was just based on a great idea. A comment in a clever routine by Mike Kazar, once a grad-student hacker at CMU: "This routine is so tense it will bring tears to your eyes." A tense programmer is one who produces tense code.

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tensor product

<mathematics> A function of two vector spaces, U and V, which returns the space of linear maps from V's dual to U.

Tensor product has natural symmetry in interchange of U and V and it produces an associative "multiplication" on vector spaces.

Wrinting * for tensor product, we can map UxV to U*V via: (u,v) maps to that linear map which takes any w in V's dual to u times w's action on v. We call this linear map u*v. One can then show that

	u * v + u * x = u * (v+x)
	u * v + t * v = (u+t) * v

and

	hu * v = h(u * v) = u * hv

ie, the mapping respects linearity: whence any bilinear map from UxV (to wherever) may be factorised via this mapping. This gives us the degree of natural symmetry in swapping U and V. By rolling it up to multilinear maps from products of several vector spaces, we can get to the natural associative "multiplication" on vector spaces.

When all the vector spaces are the same, permutation of the factors doesn't change the space and so constitutes an automorphism. These permutation-induced iso-auto-morphisms form a group which is a model of the group of permutations.

(1996-09-27)

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tenured graduate student

<job> One who has been in graduate school for 10 years (the usual maximum is 5 or 6): a "ten-yeared" student (get it?). Actually, this term may be used of any grad student beginning in his seventh year. Students don't really get tenure, of course, the way professors do, but a tenth-year graduate student has probably been around the university longer than any untenured professor.

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(1996-09-27)

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