Word Finder - generating

definition

To bring into being; give rise to.

example

The discussion generated an uproar.

definition

To produce as a result of a chemical or physical process.

example

Adding concentrated sulphuric acid to water generates heat.

definition

To procreate, beget.

example

They generated many offspring.

definition

To form a figure from a curve or solid.

example

Rotating a circle generates a sphere.

definition

To appear or occur; be generated.

The latter is therefore called the generating function of the former.

Putting n equal to co, in a generating function obtained above, we find that the function, which enumerates the asyzvgetic seminvariants of degree 0, is 1 1-z2.1-z3.1-z4....1-z0 that is to say, of the weight w, we have one form corresponding to each non-unitary partition of w into the parts 2, 3, 4,...0.

The generating function is I - z2' 52 For 0 =3, (alai +a2a2+a3a3) 10; the condition is clearly a1a2a3 = A3 = 0, and since every seminvariant, of proper degree 3, is associated, as coefficient, with a product containing A3, all such are perpetuants.

The generating function is thus z2e-1 - 1 (1 -z 2) (1 -z 3) (1 -z 4)...

Their Number For Any Weight W Is The Number Of Ways Of Composing W 3 With The Parts I, 2, And Thus The Generating Function Is Verified.

By the rules adopted we take A?B 2 B 3, which gives (12)a(32)b - (1)a(321)b+ao(3212)b, the simplest perpetuant of weight 7; and thence the general form enumerated by the generating function 1 -z.1-z2.1 - z3 ?

If a longitudinally magnetized wire is twisted, circular magnetization is developed; this is evidenced by the transient electromotive force induced in the iron, generating a current which will deflect a galvanometer connected with the two ends of the wire.

Laplace published in 1779 the method of generating functions, the foundation of his theory of probabilities, and the first part of his Theorie analytique is devoted to the exposition of its principles, which in their simplest form consist in treating the successive values of any function as the coefficients in the expansion of another function with reference to a different variable.

A direct and an inverse calculus is thus created, the object of the former being to determine the coefficients from the generating function, of the latter to discover the generating function from the coefficients.

In the same way, the generating function of the series I+2x+x 2 +0.x 3 +o.x 4 +...

Then let a small, very short cylinder be described of which dS is a section, and the generating lines are normal to the surface.

Then since the generating lines of the tube are lines of force, the component of the electric force perpendicular to the curved surface of the tube is everywhere zero.

These can, however, only be used advantageously where there are fixed pumps, the fall of water generating the power resulting in a load to be removed by the expenditure of an equivalent amount of power in the pumping engine above that necessary for keeping down the mine water.

Notable examples are found in the Rateau, Ser and Capell fans, and where an electric generating station is available electric motors can be advantageously used instead of steam.

Motion is obtained from a continuous-current generator driven by an alternating motor with a very heavy fly-wheel, a combination known as the Ilgner transformer, which runs continuously with a constant draught on the generating station, the extremely variable demand of the winding engine during the acceleration period being met by the energy stored in the fly-wheel, which runs at a very high speed.

The subject received little attention in the United Kingdom, owing to the relatively high cost of home-produced alcohol as compared with that of imported petrol; and the use of alcohol in England for generating mechanical power was neither contemplated nor provided for by the Legislature before 1920, when, as the result of the consideration of the position by the Government, following on a report by a Departmental Committee appointed towards the end of 1918, clauses were inserted in the Finance Act of 1920 legalizing the use of alcohol for power purposes.

It sprang into importance through the utilization of the falls in the river Glommen for driving saw-mills and generating electric power.

We have for the number of partitions an analytical theory depending on generating functions; thus for the partitions of a number n with the parts I, 2, 3, 4, 5, &c., without repetitions, writing down the product I +x.

And so in other cases we obtain a generating function.

The city has a large jobbing trade, a coal supply from rich deposits in Pierce county, and abundant water-power from swift mountain streams, which is used for generating electricity for municipal and industrial use.

This last point is important in connexion with voltmeters used on the switchboards of electric generating stations, where relatively strong electric or magnetic fields may be present, due to strong currents passing through conductors near or on the board.

The great extension during the same period of the use of water-power has been of immense importance to Canada, most of the provinces possessing numerous swift-flowing streams or waterfalls, capable of generating a practically unlimited supply of power.

From this point of view, the function which, by algebraical operations on i+o.x+o.x2+..., produces the series, is called its generating function.

In drilling for some of the first oil wells gas escaped, and in a few instances this was used as a fuel for generating steam in the boilers of the drilling-engines.

Knowing this, and having in the Siemens regenerative gas furnace an independent means of generating this temperature, the Martin brothers of Sireuil in France in 1864 developed the open-hearth process of making steel of any desired carbon-content by melting together in this furnace cast and wrought iron.

The oxidation of manganese is capable of generating a very high temperature, but it has the very serious disadvantage of causing such thick clouds of smoky oxide of manganese as to hide the flame from the blower, and prevent him from recognizing the moment when the blow should be ended.

A pair of electric arcs play between these electrodes and the molten steel, passing through the layer of slag, G, and generating much heat.

The; line which, winding round an axis either to the right or to the left, passes through the points of insertion of all the leaves on the axis is termed the genetic or generating spiral; and that margin of each leaf which is towards the direction from which the spiral proceeds is the kathodic side, the other margin facing the point whither the spiral passes being the anodic side.

In cases where the internodes are very short and the leaves are closely applied to each other, as in the house-leek, it is difficult to trace the generating spiral.

The primitive or generating spiral may pass either from right to left or from left to right.

Teeth of Skew-Bevel Wheels.The crests of the teeth of a skew-bevel wheel are parallel to the generating straight line of the hyperboloidal pitch-surface; and the transverse sections of the teeth at a given pitch-circle are similar to those of the teeth of a bevelwheel whose pitch surface is a cone touching the hyperboloidal surface at the given circle.

But it was not until the dynamo was improved as a machine for generating large quantities of electricity at a very low cost that the electrolysis of copper could be practised on a commercial scale.

If we suppose these generating lines to be normal to the plane of the paper, then all sections of the solids parallel to this plane will be equal and similar to each other, and the section of the surface of the liquid will be of the same form for all such sections.

The condition of stability of a catenoid is therefore that the tangents at the extremities of its generating catenary must intersect before they reach the directrix.

Galileo attempted the evaluation by weighing the curve against the generating circle; this rough method gave only an approximate value, viz., a little less than thrice the generating circle.

The cartesian equation in terms similar to those used above is x = a6+b sin 0; y=a-b cos 0, where a is the radius of the generating circle and b the distance of the carried point from the centre of the circle.

The river Pescara and its tributary the Tirino form an important source of power for generating electricity.

Such a curve may be considered as described by a point, moving in a line which at the same time rotates about the point in a plane which at the same time rotates about the line; the point is a point, the line a tangent, and the plane an osculating plane, of the curve; moreover the line is a generating line, and the plane a tangent plane, of a developable surface or torse, having the curve for its edge of regression.

The section made by a plane containing the axis and perpendicular to the base is a triangle contained by two generating lines of the cone and a diameter of the basal circle.

A method of generating conics essentially the same as our modern method of homographic pencils was discussed by Jan de Witt in his Elementa linearum curvarum (1650); but he treated the curves by the Cartesian method, and not synthetically.

The penstock, three feet in diameter at this point, was a long black snake, carrying its mountain water to the small generating station, while adjacent black piping and frequent taps provided the ice that coated the cliff sides in gigantic clusters below.

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While linear methods have proven invaluable over many years in generating first-order approximations, they are severely limited in both qualitative and quantitative predictions.

Waste paper, not included in this chart, is also a good substrate for generating biogas.

Generating f0 contours for speech synthesis using the tilt intonation theory.

Finally, I totally agree with Bond that discourse contexts will improve generating more accurate determiners that have anaphoric relations.

Genomixer the Future Physical funded project made serious progress and uses stanza DNA data fused into online generating artworks and soundscapes.

Research focussed on methods of generating and stabilizing emulsion droplets using cross-linked polymer coatings derivatised with various ligands.

These magazines are there simply to sell advertising, they are profit generating publications not educational or philanthropic publications.

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