The robots I watched making Legos had no human operators because no human can keep up with them.
Telegraph operators used to have to send every message by hand.
Operators who used the recorder soon learned to read the message by the click of the armature against its stop, and as this left the hands and eyes free to write, reading by sound was usually preferred.
All the subscribers' lines are connected in order to jacks on the first two or three or four operators' positions, and these connexions are repeated or " multipled " upon each succeeding similar group of positions.
With the adoption of relays the signalling between the subscribers and the exchange became automatic, and, with the introduction of the principle of double and automatic supervision on the cord circuits, it became possible for the operators to tell at any instant the state of a connexion.
P operators D upon a monomial symmetric function is clear.
= exp,udl where exp denotes (by the rule over exp) that the multiplication of operators is symbolic as in Taylor's theorem.
F m +Z(D2f1) (Dif2)f3...fm+Z(D3f1) f 2 f fm, the summation in a term covering every distribution of the operators of the type presenting itself in the term.
The operators ko.ki.k2 aoaai+alaa2+ï¿½ï¿½., a00a i +2a11, 2 +ï¿½ï¿½ï¿½ are seen to be (I, o; 1, I) and (I, I; I, I) respectively.
The importance of the operator consists in the fact that taking any two operators of the system (I l, v; m, n); (Ill, v l : m l, n1), the operator equivalent to (I l, v; m, n) (111, v 1; ml, n1) - (i l l, v1; ml, n1) (/l, v; m, n), known as the " alternant " of the two operators, is also an operator of the same system.
We have the theorem (I I, v; m, n) (/l l, v l; ml, n i) - (Il l, P 1; m l, n ') (/l, v; m, n) = (11, vl; ml, ni); where 1 /l1= (ml +m-1) ml (/l +nlv) - u-2 Cu '+nvl) 1 1 m-1 1 m1-1 vl =(n -n)vv-E ml / lY- m /lv, m i =7111+m-I, n1=nl+n, and we conclude that qua " alternation" the operators of the system form a " group."
The two operators - a a - a = a °aa 1 +2 a 1aa2 +...
Two of these show that the leading coefficient of any covariant is an isobaric and homogeneous function of the coefficients of the form; the remaining two may be regarded as operators which cause the vanishing of the covariant.
The graphic method, therefore, does not give any direct assistance towards the conception of negative numbers as operators, though it is useful for interpreting negative quantities as results.
In recent times many mathematicians have formulated other kinds of algebras, in which the operators do not obey the laws of ordinary algebra.
Not only is vein-material formerly regarded as unremunerative now extracted at a profit, but in many instances increased gold-values have been encountered below zones of relative barrenness, and operators have been encouraged to make costly preparations for really deep mining - more than 3000 ft.
In the third group women greatly preponderate in the occupation of stenographers and type-writers; and in those of book-keepers and accountants, clerks and copyists, packers and shippers, saleswomen (which is the largest class), and telegraph and telephone operators they have a large representation (13 to 34 ~ A great Variation exists in the proportion of the sexes employed in different manufacturing industries.
7) of the speculative philosopher who, though he is self-sufficing, is better having co-operators (vwvEpyous €xwv).
This rich genius gave also the first impulse to romantic, didactic and mystic poetry; and even his own age produced powerful co-operators in these three most conspicuous departments of Persian literature.
The minute we do, the people doing those jobs should become operators of the new machines—and get big raises because their productivity just shot way up.
Thousands and thousands of women were switchboard operators before direct dial phones were in use.
In a large exchange a number of operators are necessary to attend to calls.
It is necessary that the operators working at a multiple board shall be able to ascertain without entering a subscriber's circuit whether the circuit be disengaged.
An important notion in the theory of linear operators in general is that of MacMahon's multilinear operator (" Theory of a Multilinear partial Differential Operator with Applications to the Theories of Invariants and Reciprocants," Proc. Lond.
Already in April 1919, during a strike of telephone operators in Boston, he had proposed that the state take over the lines, but the trouble was soon settled.
Care and intelligence are especially needful with certain insecticides such as poisonous gases, or the operators may suffer.
The call is controlled by the trunk operators, the junction circuits being equipped in such a manner that the subscribers' signals appear at the trunk exchanges, from which point disconnecting signals are sent automatically to the local exchanges, when the connexions between the trunk and the junction circuits are removed.
This board is built up in sections of one or more operators' positions each.
The call-wires were usually equipped with drops in order that the exchange might be called at night when the operators were not listening continuously.
If there be a line free, or when the turn of the call is reached, particulars of the connexion wanted are passed to the distant end, and the trunk operators request the local exchanges to connect the subscribers by means of junction I F..?