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on and product
Guidance and advice are available on new product research and development ; ;
These headquarters engineers, headed by the vice-president -- Engineering, counsel and advise divisional managers and chief engineers on product problems as well as aid with design ; ;
The silver chloride was fused under vacuum in the presence of aluminum chips with the resultant product of Af which was sublimed into a flask on the vacuum line.
While the `` empirical psychoanalytic '' label which Fromm claims sheds no light on the validity of his underlying philosophy, it does increase the marketability of his product.
The charge that the federal indictment of three Chicago narcotics detail detectives `` is the product of rumor, combined with malice, and individual enmity '' on the part of the federal narcotics unit here was made yesterday in their conspiracy trial before Judge Joseph Sam Perry in federal District court.
Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.
This is not the most general situation of a Cartesian product of a family of sets, where a same set can occur more than once as a factor ; however, one can focus on elements of such a product that select the same element every time a given set appears as factor, and such elements correspond to an element of the Cartesian product of all distinct sets in the family.
The advantage of spherical coordinates ( for atoms ) is that an orbital wave function is a product of three factors each dependent on a single coordinate: ψ ( r, θ, φ ) = R ( r ) Θ ( θ ) Φ ( φ ).
In physics, the most common orbital descriptions are based on the solutions to the hydrogen atom, where orbitals are given by the product between a radial function and a pure spherical harmonic.
With the definitions used before 2012, the astronomical unit was dependent on the heliocentric gravitational constant, that is the product of the gravitational constant G and the solar mass M < sub >☉</ sub >.
Ada Lovelace reported in her notes on the Analytical Engine: " Mr. Babbage believes he can, by his engine, form the product of two numbers, each containing twenty figures, in three minutes ".
As Apple abandoned many of these product categories, and all new systems were based on IP, AppleTalk became less and less common.
There is hardly any product in our surroundings that does not contain at least one adhesive-be it the label on a beverage bottle, protective coatings on automobiles or profiles on window frames.
Eventually a product called the " Goldfingers device " was created that could unlock the CPU, named after the gold connector pads on the processor board that it attached to.
More precisely, a binary operation on a non-empty set S is a map which sends elements of the Cartesian product S × S to S:
There are various norms that can be placed on the tensor product of the underlying vector spaces, amongst others the projective cross norm and injective cross norm.
The beverage was well received by the people at the meeting, leading to its inclusion on the menu, ultimately becoming the franchise's top-selling product.
Powers Fasteners, the makers of the adhesive, revised their product specifications on May 15, 2007 to increase the safety factor from 4 to 10 for all of their epoxy products intended for use in overhead applications.
The purpose of " splitting " the inner product into a bra and a ket is that both the bra and the ket are meaningful on their own, and can be used in other contexts besides within an inner product.
A convenient way to define linear operators on H is given by the outer product: if is a bra and is a ket, the outer product

on and front
Morgan filled the dipper from the water bucket on the shelf, went back into the front room, lifted the girl's head, and held the edge of the dipper to her mouth.
The Palace was an elaborate establishment, built practically on stilts in front, with long flights of wooden steps running up to the porch.
The circle with the dot in the center showed up yellow on the reflector glass in front of him.
She'd driven around for a while, Joyce said, then, thinking Louis Thor would have calmed down by that time, she'd gone back to his home on Bryn Mawr Drive, parked in front, and walked toward the pool.
There I got my Colt Special and shoulder harness, slipped my coat on, and went back into the front room.
In the shade of a palm tree in front of the squalid dwelling I saw four figures in a semi-circle on the ground.
With a thoughtful look, the man sat on the pavement, legs straight out in front of him.
Blood dripped down the front of his sweater, soaking into a dark streak of dirt that ran diagonally across the white wool on his shoulder, as though the bright V woven into the neckline had melted, running a darker color.
He had considered throwing erasers or flipping paperwads at someone or pulling the hair of the girl sitting in front of him, but he couldn't take a chance on either of these possibilities: the teacher probably would make him stand face-to-wall in a corner instead of stay in after school.
our elders stayed in the dark house or sat fanning on the front porch.
As the field on which my tent was pitched was a favorite natural playground for the kids of the neighborhood, I had made many friends among them, taking part in their after-school games and trying desperately to translate Grimm's Fairy Tales into an understandable French as we gathered around the fire in front of the tent.
Another classic sight that gave us considerable pleasure was the Evzone sentry, in his ballet skirt with great pompons on his shoes, who was patrolling up and down in front of the palace.
This year, on a night cool with the front of September moving in, but with plenty of summer still about, the Podgers were holding a neighborhood gathering in the Pod.
Usually a veteran has to hang himself to get space on the front page.
Plunking themselves down on the front bench, they turned to smirk at those around them.
Sipping their coffee, discussing the weather, the day's shopping, Fritzie's commitments at the network ( all of which he would cancel ), they avoided the radio, the morning TV news show, even the front page of the Santa Luisa Register, resting on the kitchen bar.
The equation was simple: wealth brought them happiness, and their united front to the world was their warning that they meant to keep everything they had, let no one in on the secrets.
He didn't, but it was not really a question, and so he left the room, walked down the hall to the front of the apartment, hesitated, and then knocked lightly on the closed door of the study.
Her quarters were on the right as you walked into the building, and her small front room was clogged with heavy furniture -- a big, round, oak dining table and chairs, a buffet, with a row of unclaimed letters inserted between the mirror and its frame.
Bicycle gear-sets he had once used as the basis of the design for the Camden Cycly Company plant hung on a rope in one corner, and over his desk, next to several old and dusty hats, was a clean pair of roller skates which he occasionally used up and down in front of his house.
Every night they all went to Mama and Papa Albright's, and sat on the open front porch, where they could get the breeze.
Already the jonquils were blooming in a flock by the front gate, and the periwinkles were coming on, blue by the porch steps.
It was late, we were playing kissing games, and Jessica and I were called on to kiss in front of the others.
An architect's sketch of the new plant is shown on the front cover.
After well broken and equipped with 12-oz. shoes on behind, bare-footed in front, she would trot a real storm with the master, Delvin, driving.

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