Product Sentence Examples

Either way, the words were the product of a kind heart.

Sainte-Claire Deville obtained a grey product, from which, on dissolving out the aluminium with sodium hydroxide, they obtained a crystalline product, which they thought to be a modification of boron, but which was shown later to be a mixture of aluminium borides with more or less carbon.

Good information on a product can mitigate this problem.

A product of being an only child of aging parents, no doubt.

And every day, their product gets better because it is being fed more data.

The chief product is copra.

Now, we know that the number of electrochemical equivalents electrolysed is proportional to the whole amount of electricity which passed through the circuit, and the product of this by the electromotive force of the battery is the work done by the latter, so that in this case also Joule showed that the heat generated was proportional to the work done.

Vegetables.Potatoes are not a special product of any region, though grown in great quantities in the Bresse and the Vosges.

In 1905 the value of Troy's factory product was $31,860,829.

One could hardly expect that a colourless deity of this description, so completely the product of priestly speculation, could ever have found a place in the hearts of the people generally.

When you look at a product on one of its web pages, Amazon suggests other products you might like as well.

The total value of the factory product in 1905 was $4,951,964, an increase of 82.3% since 1900.

Of this $11,271,708 was the value of collars and cuffs (89.5% of the value of the total American product), an industry which gave employment to 49.3% of the wage-earners in Troy, and paid 42.1% of the wages.

The dark product obtained is washed with water, hydrochloric acid and hydrofluoric acid, and finally calcined again with the oxide or with borax, being protected from air during the operation by a layer of charcoal.

Flax covers about 160,000 acres, with a product, in fibre, amounting to about 20,000 tons.

The product is principally used for industrial purposes, and partly in the preparation of food, but the amount is decreasing.

To the extent that I get accurate information from other consumers of the product, I will tend to make better choices.

The chief product of the islands are bananas; the chief export sandal-wood.

Closely connected with the manufacture of lumber is the making of paper and wood pulp, centralized at Bellows Falls, with waterpower on the Connecticut river and with the raw materials near; the product was valued in 1905 at $3,831,448.

The product of stone manufactures in 1905 was $9,570,436.

An important product of oak woods is the bark that from a remote period has been the chief tanning material of Europe.

The chief product is amber.

An ongoing debate is whether a high amount of energy raises a nation or region's gross national product (GNP) or whether rising GNP increases the consumption of energy.

The overall economic output of the planet, GWP (gross world product), will rise dramatically in the years to come, but its distribution will be quite skewed.

The value of the factory product in 1905 was $99,040,676.

The city is a product of the industrial transformation in the southern states since the Civil War.

It is obtained by the oxidation of orthophenylene diamine with ferric chloride; when a mixture of para-aminodimethylaniline and meta-toluylenediamine is oxidized in the cold, toluylene blue, an indamine, being formed as an intermediate product and passing into the red when boiled; and also by the oxidation of dimethylparaphenylene diamine with metatoluylene diamine.

There are several old pictures of merit, and the shrine of St Eleuthere, the first bishop of Tournai in the 6th century, is a remarkable product of the silversmith's art.

The value of the product has, however, proportionately increased, so that the sum realized was little less, while less than half the number of men was employed.

Adding to this 1,240,000 of communal and provincial subsidies, the product of the labor of inmates, temporary subscriptions, &c., the net revenue available for charity was, during i88o, 3,860,000.

The doctrine of evolution in its finished and definite form is a modern product.

As national income increases in a given country, the size of government as a portion of gross national product (GNP) rises and the range of services people expect the government to offer rises.

Sheep's milk cheese (pecorino) is largely made, but sold as the Roman product.

A larger product of the vine was in the form of raisins and currants, of which quantities were exported to Russia.

In itself a product of the medieval conception of the fool who figured so largely in the Shrovetide and other pageants, it differs entirely from the general allegorical satires of the preceding centuries.

With the growing of grasses as the chief agricultural product, farming in Nevada is necessarily extensive rather than intensive.

Often, a buying decision hinges on a piece of arcane information about a product that is difficult to locate.

In their exposition, an historic character is first the product of his time, and his power only the resultant of various forces, and then his power is itself a force producing events.

Deidre made a deal with the Dark One, one good enough to bring her soul back from the dead, combine the two Deidres, cure the tumor of one and release the final product from Hell.

The conductivity, which varies as the product of n into the mobility, will thus vary inversely as the pressure, and so at 36 kilometres will be one hundred times as large as close to the ground.

The value of Joplin's factory product in 1905 was $3,006,203, an increase of 2 9.3% since 1900.

In 1900 the Birmingham district produced six-sevenths of the total pig iron exported from the United States, and in 1902 nine-tenths of Alabama's coal, coke and pig iron; in 1905 Jefferson county produced 67.5% of the total iron and steel product of the state, and 62.5% of the pig iron produced by the state.

Salt, &c.Rock-salt is worked chiefly in the department of Meurthe-et-Moselle,which produces more than half the average annual product of salt.

Boron chloride BC1 3 results when amorphous boron is heated in chlorine gas, or more readily, on passing a stream of chlorine over a heated mixture of boron trioxide and charcoal, the volatile product being condensed in a tube surrounded by a freezing mixture.

Polyporus igniarius and other species are also used, but yield an inferior product.

The association of this metal with silver in the Broken Hill mines of New South Wales adds very greatly to the value of the product.

In the modern doctrine of evolution the cosmic system appears as a natural product of elementary matter and its laws.

By this writer the world is explained as a product of three principles - dead matter, and two active forces, heat and cold.

Thus man is said to be the highest product of nature, and as such to be dependent on all lower products.

The phellogen derives its name from the fact that its external product is the characteristic tissue known as cork.

The chief mineral product is the asphalt of the mines of Seyssel on the eastern frontier, besides which potter's clay, building stone, hydraulic lime and cement are produced in the department.

The only product is cocoa-nut oil, of which about 106,000 gallons are annually exported.

The crude solid product from the tar distillate is digested with carbon bisulphide to dissolve the pyrene, the solution filtered and the solvent evaporated.

It thus appears that the live stock industry is one of the most important in the state; the value of its product in 1899 exceeded its output of gold and silver, which had then reached its lowest point, by over one million dollars.

Modern Plymouth has varied and important manufactures comprising cordage, woollens, rubber goods, &c. In 1905 the total value of the factory products was $11,115,713, the worsted goods and cordage constituting about nine-tenths of the whole product.

From 1900 to 1905 the capital invested in manufactures increased 83% and the value of the product Sor %.

If one excepts the Old Testament, which is a product of the extreme west of Asia, it is remarkable how small has been the influence of Asiatic literature on Europe.

Some authorities hold that Peruvian civilization had no connexion with the north and was an entirely indigenous product, but Kechua is in structure not unlike the agglutinative languages of central and northern Asia.

Of phosphoric acid, the cereal crops take up as much as, or more than, any other crops of the rotation, excepting clover; and the greater portion thus taken up is lost to the farm in the saleable product - the grain.

Moreover, in 1885 the imported product was only about one-seventh [[Table Xvi I]].

From the product so obtained most of the better sort of "Burgundy pitch" of the druggists is prepared.

It is important here to note that Clausilia furnishes us with an exceptional instance of the continuity of the shell or secreted product of the primitive shell - sac with the adult shell.

Its obligations to other contemporary arts are many and obvious, especially in its later stages; but every borrowed form and motive undergoes an essential modification at the hands of the Aegean craftsman, and the product is stamped with a new character.

The value of the factory product was $748,670,855 in 1900 and $960,811,857 in 1905.1 The most important manufacturing industry is that of iron and steel.

For five centuries before the Christian era cotton was largely used in the domestic manufactures of India; and the clothing of the inhabitants then consisted, as now, chiefly of garments made from this vegetable product.

The acetone dicarboxylic acid, CO(CH 2 CO 2 H) 2, so obtained combines with hydrocyanic acid, and this product yields citric acid on hydrolysis.

In 1900 the manufactured product of the city and its immediate suburbs was valued at $31,690,736, of which $19,009,332 were credited to slaughtering and packing.

In 1905 the census reports did not include manufactures outside the actual city limits; the total value of the factory product of the city proper in 1905 was $11,573,720; besides slaughtering and packing the other manufactures in 1905 included men's factory-made clothing (valued at $1,556,655) flour and grist-mill products (valued at $683,464), saddlery and harness (valued at $524,918), confectionery ($437,096), malt liquors ($407,054), boots and shoes ($350,384) and farm implements.

The poppy is cultivated wherever it will grow, the crop being far more profitable than that of any other product.

The earlier supporters of the organic theory held that it was a product of the natural distillation of coal or carbonaceous matter; but though in a few instances volcanic intrusions appear to have converted coal or allied substances into oil, it seems that terrestrial vegetation does not generally give rise to petroleum.

This view is supported by the fact that petroleum is found on the Sardinian and Swedish coasts as a product of the decomposition of seaweed, heated only by the sun, and under atmospheric pressure.

In most petroleum-producing countries, however, and particularly where the product is abundant, the crude oil is fractionally distilled, so as to separate it into petroleum spirit of various grades, burning oils, gas oils, lubricating oils, and (if the crude oil yields that product) paraffin.

The product actually obtained is a mixture of several paraffins and several olefines.

Paraffin wax is tested for melting-point (or setting-point), and the semi-refined product is further examined to ascertain the percentage of oil, water and dirt present.

For pharmaceutical purposes crude petroleum is no longer generally used by civilized races, though the product vaseline is largely employed in this way, and emulsions of petroleum have been administered internally in various pectoral complaints; while the volatile product termed rhigolene has been largely used as a local anaesthetic.

For illuminating purposes, the most extensively-used product is kerosene, but both the more and the less volatile portions Of petroleum are employed in suitable lamps.

A wide missionary activity had begun in the 13th century - an activity which was the product of the Crusades and the contact with the Moslem which they brought, but which yet helped to check the Crusades, substituting as it did peaceful and spiritual conquests of souls for the violence and materialism of even a Holy War.

In these circumstances the torsional angle becomes a measure of the torque and therefore of the product of the strengths of the currents in the two coils, that is to say, of the square of the strength of the current passing through the two coils if they are joined up in series.

Since the current passing through the balance when equilibrium is obtained with a given weight is proportional to the square root of the couple due to this weight, it follows that the current strength when equilibrium is obtained is proportional to the product of the square root of the weight used and the square root of the displacement distance of this weight from its zero position.

Each instrument is accompanied by a pair of weights and by a square root table, so that the product of the square root of the number corresponding to the position of the sliding weight and the ascertained constant for each weight, gives at once the value of the current in amperes.

The total product of the fisheries in 1902 was valued at about $2,000,000.

The principal occupation is agriculture, in which 44% of the labouring population was engaged in 1900, but only 12.6% of the total land surface was enclosed in farms, of which only 34.6% was improved, and the total agricultural product for 1899 was valued at $18,309,104.

The cultivation of pineapples, in sub-tropical Florida, is proving successful, the product far surpassing that of California, the only other state in the Union in which pineapples are grown.

In 1903, according to the statistics of the United States Department of Agriculture, Indian corn ranked next to fruits .(as given in the state reports), but its product as compared with that of various other states is unimportant - in 1907 it amounted to 7,017,000 bushels only; rice is the only other cereal whose yield in 1899 was greater than that of 1889, but the Florida product was surpassed (in 1899) by that of the Carolinas, Georgia, Louisiana and Texas; in 1907 the product of rice in Florida (69,000 bushels) was less than that of Texas, Louisiana, South Carolina, Arkansas and Georgia severally.

Phosphorus is obtained as a soluble phosphate (which can be examined in the usual way) by lixiviating the product obtained when the substance is ignited with potassium nitrate and carbonate.

The product is dissolved in water, and the calcium haloid estimated in the usual way.

This states that " the atomic heat (the product of the atomic weight and specific heat) of all elements is a constant quantity."

We now proceed to discuss molecular heats of compounds, that is, the product of the molecular weight into the specific heat.

Whatever drug of this group be taken, the product absorbed by the blood is almost entirely sodium salicylate.

The vegetable product - which is extremely expensive - must be prescribed or the synthetic product guaranteed "physiologically pure," i.e.

The product is at first white, but soon turns green ("green ultramarine") when it is mixed with sulphur and heated.

It was the first definite product of Greek medicine on Roman soil, but was destined to be followed by others, which kept up a more or less successful rivalry with it, and with the Hippocratic tradition.

In deep mines the pillars may furnish the bulk of the product, and the control of the fall of the roof, so as to permit the successful extraction of the mineral, demands a well-schemed plan of operation.

The cornmercial product (which is known in Germany as "Kalkstickstof") contains from 14 to 22% of nitrogen, which is liberated as ammonia when the substance is treated with water; to this decomposition it owes its agricultural value.

The examination of small test-pieces of the glass withdrawn from the crucible by means of an iron rod having shown that the molten mass is free from bubbles, the stirring process may be begun, the object of this manipulation being to render the glass as homogeneous as possible and to secure the absence of veins or striae in the product.

The wholesale jam manufacturers of the present day use this sugar; they boil the jam in vacuo and secure a product that will last a long time without deteriorating, but it lacks the delicacy and distinctive flavour of fruit preserved by a careful housekeeper, who boils it in an open pan with cane sugar to a less density, though exposed for a short time to a greater heat.

All actions are product of pleasure and pain, good and evil.

The resulting white product is termed calcium oxide lime, burnt lime, quicklime, cob lime, or caustic lime.

Gas-lime is a product obtained from gasworks where quicklime is used to purify the gas from sulphur compounds and other objectionable materials.

The total value of the factory product in 1905 was $1,796,805.

If the total resistance against which the train is maintained in motion with an instantaneous velocity of V feet per second is R, the rate at which energy is expended in moving the train is represented by the product RV, and this must be the rate at which energy is supplied to the train after deducting all losses due to transmission from the source of power.

The rate at which work is done on a particular axle is measured by the product where T is the torque or turning moment exerted on the axle by the motor or mechanism applied to it for this purpose, and is the angular velocity of the axle in radians per second.

If there are several driving-axles in a train, the product Tw must be estimated for each separately; then the sum of the products will be equal to RV.

The average value of the product of these percentages, namely o 65 Xo 09 =0.06 say, may be used to investigate generally the working of a locomotive; the actual value could only be determined by experiment in any particular case.

The relation between the b.h.p. and the torque on the driving-axle is 55 o B.H.P. =Tu., (9) It is usual with steam locomotives to regard the resistance R as including the frictional resistances between the cylinders and the driving-axle, so that the rate at which energy is expended in moving the train is expressed either by the product RV, or by the value of the indicated horse-power, the relation between them being 55 0 I.H.P. =RV (Io) or in terms of the torque 55 0 I.H.P.X€=RVe=TW (II) The individual factors of the product RV may have any value consistent with equation (to) and with certain practical conditions, so that for a given value of the I.H.P. R must decrease if V increases.

For the three years1875-1877the production of gold and silver in Nevada was more than the combined product of all the other American states and Territories.

Manufactures based on the products of mines and quarries (chemicals, glass, clay, stone and metal works) constituted about one-fifth of the whole product.

The river furnishes considerable water-power and the total factory product in 1905 was valued at $8,357,993, an increase of 47.2% over that in 1900.

These districts are pastoral, and the lower fertile lands are cultivated for sugar, cotton, maize, tobacco, rice, beans, and mandioca - sugar being the principal product.

In 1905 it ranked third among the cities of the state in value of its factory product ($7,3 8 9, 8 44).

The principal mining product is mercury, extracted at Idria, while iron and copper ore, zinc and coal are also found.

They were a unique product of rabbinism; and the authors of the system were also the compilers of its literary expression, the Talmud.

The most important product of the district was the wood from the forests of the Sila, and the pitch produced from it.

There are miscellaneous manufactures, and in 1905 the factory product was valued at $3,090,312.

The lumber and timber product increased in value from $1,920,335 in 1880 to $ 2 4, 0 35,539 in 1905.

The value of the total factory product was $57,45 1, 445 in 1905, when a little more than three-fourths was represented by lumber and timber products, cotton-seed oil and cake, and cotton goods.

In 1902 the value of the gold and silver product combined was $71,287, and in 1908, when the Iola mine 6 m.

In 1908 the product amounted to 48,522 long tons (all magnetite), and was valued at $76,877; almost the entire product is from the Cranberry mines, near Cranberry, Mitchell county.

The most valuable immediate product of the state's mines and quarries for nearly every year from 1890 to 1908 was building stones of granite and gneiss, which are found in all parts of the state west of the " Fall Line "; the best grades of granite are quarried chiefly in Gaston, Iredell, Rowan, Surry and Wilkes counties.

The product increased in value from $4,783,484 in 1890 to $25,488,721 in 1905.

The value of the state's factory product for 1900 was $85,274,083, and that for 1905, $142,520,776, an advance of 67.1%.

The soul is in turn the image or product of the vas, and the soul by its motion begets corporeal matter..

The soul thus faces two ways - towards the vas, from which it springs, and towards the material life, which is its own product.

When we have mentioned vanilla, which consists of the fleshy pods of an orchid, we have mentioned about the only economic product that now comes into market.

In 1905 its total factory product was valued at $4,210,265.

Glycerin is also a product of certain kinds of fermentation, especially of the alcoholic fermentation of sugar; consequently it is a constituent of many wines and other fermented liquors.

In 1905 the value of the city's factory product was $2,983,160, being 28.4% more than in 1900.

A consort Antum (or as some scholars prefer to read, Anatum) is assigned to him, on the theory that every deity must have a female associate, but Antum is a purely artificial product - a lifeless symbol playing even less of a part in what may be called the active pantheon than Anu.

In 1905 the value of, the factory product was $11,264,123, an increase of 59 per cent.

The principal product is cigars; most of the tobacco used is imported from Cuba, and the manufacturing is done chiefly by Cubans who live in a district known as Ybor City.

For he proved that the various changes occurring in the several processes of fermentation - as, for example, in the vinous, where alcohol is the chief product; in the acetous, where vinegar appears; and in the lactic, where milk turns sour - are invariably due to the presence and' growth of minute organisms called ferments.

The import of the manufactured product from 1875 to 1900 increased at a much greater ratio than that of the raw grain, for whilst in 1875 the former represented less than one-ninth of the total, by 1900 the proportion had risen to nearly one-fourth.

Butchers have palmed off upon their customers imported fresh meat as homegrown, and secured a dishonest profit by charging for it the prices of the latter, which are considerably in excess of those of the imported product.

The value of the township's factory product in 1 9 05 was $3,171,3t8, an increase of 80 6% since 1900, this ratio of increase being greater than that shown by any other "municipality" in the state having a population in 1 9 00 of 8000 or more.

The cultivation of tobacco was of little importance in the state until about 1840; but the product increased from 10,454,449 lb in 1850 to 34,735,235 lb in 1880, and to 65,957,100 lb in 1899, when the crop was grown on 71,422 acres; in 1909 the crop was 83,250,000 lb, grown on 90,000 acres.

It exports filberts (for which product it is the centre), walnuts, hides and timber.

The lemniscate of Bernoulli may be defined as the locus of a point which moves so that the product of its distances from two fixed points is constant and is equal to the square of half the distance between these points.

As a commercial product spider-silk has been found to be equal, if not superior, to the best silk spun by lepidopterous larvae; but the cannibalistic propensities of spiders, making it impossible to keep more than one in a single receptacle, coupled with the difficulty of getting them to spin freely in a confined space, have hitherto prevented the silk being used on any extensive scale for textile fabrics.

The waters of the lake swarm with fish (sturgeons and salmonidae), and its herring (Salmo omul) is the chief product of the fisheries, though notably fewer have been taken within the last forty or fifty years.

In 1900 New Haven was the most important manufacturing centre in Connecticut, and in 1905 it was second only to Bridgeport in the value of its factory product.

In 1905 the total capital inyested in manufacturing was $31,412,715 and the total product $39,666,118 (a gain of 13.7% since 1900).

By careful selection (the methods of which are described below) in the United States, the quality of the product was much improved, and on the recent revival of the cotton industry in the West Indies American " Sea Island " seed was introduced back again to the original home of the species.

The history of no agricultural product contains more of interest and instruction for the student of economics than does that of cotton seed in the United States.

The main product is the refined oil, which is used for a great number of purposes, such as a substitute for olive oil, mixed with beef products for preparation of compound lard, which is estimated to consume one-third of cotton seed oil produced in the States.

These facts indicate that we have here an agricultural product the market price of which is still far below its value as compared, on the basis of its chemical composition, either with other feeding stuffs or with other fertilizers.

Tobacco culture, which declined after 1860 on account of the competition of Cuba and Sumatra, has revived since 1885 through the introduction of Cuban and Sumatran seed; the product of 1907 (6,937,500 lb) was more than six times that of 1899, the product in 1899 (1,125,600 lb) being more than twice that of 1889 (470,443 lb), which in turn was more than twenty times that for 1880 (21,182 lb)-the smallest production recorded for many decades.

In 1899, 84% of the product was raised in Gadsden county.

Their product in 1900 was more than twice the product in 1890, and the product in 1905 (from establishments under the factory system only) was $50,298,290, i.e.

The most important industries were those that depended upon the forests, their product amounting to nearly 45% of the entire manufactured product of the state.

The manufacture of turpentine and rosin, material for which is obtained from the pine forests, had increased greatly in importance between 1890 and 1900, the product in 1890 being valued at only $191,859, that of 1900 at $6,469,605, and from the latter sum it increased in 1905 to $9,901,905, an increase of more than one-half.

In 1900 the state ranked second and in 1905 first of all the states of the country in the value of this product; in 1905 the state's product amounted to 41.4% of that of the entire country.

The manufacture of cigars and cigarettes (almost entirely of cigars, few cigarettes being manufactured), carried on chiefly by Cubans at Key West and Tampa, also increased in importance between 1890 and 1900, the products in the latter year being valued at $10,735,826, or more than one-quarter more than in 1890, and in 1905 there was a further increase of 56.2%, the gross value being $16,764,276, or nearly one-third of the total factory product of the state.

In the manufacture of fertilizers, the raw material for which is derived from the phosphate beds, Florida's aggregate product in 1900 was valued at $500,239, and in 1905 at $1,590,371, an increase of 217.9% in five years.

Soap may be framed and finished in this state, but almost invariably it receives a further treatment called " refining " or " fitting," in which by remelting with water, with or without the subsequent addition of other agents to harden the finished product, the soap may be made to contain from 60 to 70% of water and kept present a firm hard texture.

The oil mixture used differs in the several manufacturing countries, and the commercial name of the product is correspondingly varied.

In Germany tallow is the principal fat; in France olive oil occupies the chief place and the product is known as Marseilles or Castile soap; and in England tallow and palm oil are largely used.

Suppose that a pure soap without resin is to be made - a product little seen in the market - the spent lye is run off, steam is again turned on, pure water or very weak lye run in, and the contents boiled up till the whole is thin, close and clear.

There is no separation of underlyes in potash soap, consequently the product contains the whole constituents of the oils used, as the operation of salting out is quite impracticable owing to the double decomposition which results from the action of salt, producing thereby a hard principally soda soap with formation of potassium chloride.

If it fails to form a hard cake on cooling, a known weight of wax may be added and the product re-heated.

The city's manufactures include glass, brick, tile, foundry and machine-shop products, &c. In 1905 the factory product was valued at $1,888,894, being 51.4% greater than in 1900.

The crude product is very impure and possesses an offensive smell; it may be purified by forcing a fine spray of lime water through the liquid until the escaping water is quite clear, the washed bisulphide being then mixed with a little colourless oil and distilled at a low temperature.

The product is ground and levigated; and when dry it is ready for use.

The fact that its product is shut out of its natural markets, without gaining that of the United States, is also a great handicap. The civic status of the people is still unsettled, but there has been under American rule a notable advance in the well-being of the island.

In 1900 the total product was valued at $16,707,027, and the factory product at $14,418,834; and in 1905 the factory product was valued at $25,745,650, an increase of 78.6% in five years.

Industrial chemistry makes many claims upon the chemist, for it is necessary to determine the purity of a product before it can be valued.

Sulphur is detected by heating the substance with sodium, dissolving the product in water, and adding sodium nitroprusside; a bluish-violet coloration indicates sulphur.

Those who hold to the genuineness of Colossians find it easier to explain the resemblances as the product of the free working of the same mind, than as due to a deliberate imitator.

Equally certain is a second observation of a general character that the epic originating as the greater portion of the literature in Assur-bani-pal's collection in Babylonia is a composite product, that is to say, it consists of a number of independent stories or myths originating at different times, and united to form a continuous narrative with Gilgamesh as the central figure.

It was discovered in 1838 by Piria as a decomposition product of salicin.

Potassium persulphate oxidizes it in alkaline solution, the product on boiling with acids giving hydroquiirone carboxylic acid (German Patent 81,297).

A blue product is obtained at once, but a red tinge often results.

For several centuries it was wholly lost sight of, and it was not till the 13th century that it was rediscovered through the agency of Robert Grosseteste, bishop of Lincoln, who translated it into Latin, under the misconception that it was a genuine work of the twelve sons of Jacob, and that the Christian interpolations were a genuine product of Jewish prophecy.

The total value of tle city's factory product in 1905 was $4,159,410, being an increase of 118.3% over that of 190o.

The total value of the factory product in 1905 was $5,976,637 (67.2% more than in 1900).

No single man appears as creator of the tendency of thought they represent; they are the product of a period extending over several centuries, but they form an intellectual unity, and presuppose a great body of thinkers.

They were to be redeemed by the product of the sales, and from certain other sources, at the rate of 120,000,000 francs in 1791, ioo,000,000 francs in 1792, 80,000,000 francs in 1793 and 1794, and the surplus in 1795.

The timber product of 1900 ($17,294,444) was almost ten times that of 1880 ($1,764,640); and in 1905 the product value ($35,192,374) was more than twice that of 1900.

The total value of the tobacco crop of 35,000 ib in 1907 was only $to,000, an amount exceeded by each of the other 24 tobacco-growing states, and the crop was about one-twentieth of% of the product of the whole United States.

From 1879 to 1899 the product increased twenty-five fold.

Among nuts the native pecan is exceptionally abundant, the product (637,470 lb in 1899) being much greater than that of any other state save Texas.

Slightly above one-half of the product of 1900 was from New Orleans, and in 1905 about 45.4%.

Four or five annual crops grow from one plant, but not more than three can be marketed, unless locally, as the product deteriorates.

In recent years the growth of the leaf under cloth tents has greatly increased, as it has been abundantly proved that the product thus secured is much more valuable - lighter in colour and weight, finer in texture, with an increased proportion of wrapper leaves, and more uniform qualities, and with lesser amounts of cellulose, nicotine, gums and resins.

In these respects the finest Cuban tobacco crops, produced in the sun, hardly rival the finest Sumatra product; but produced under cheese-cloth they do.

Iron is now the most important mineral product.

Nearly the entire product goes to the United States.

The commercial product of stones, brick and cement is of rapidly increasing importance.

The product is used to bleach sugar, as well as for construction and disinfection purposes.

It behaves as a powerful reducing agent, and on hydrolysis with dilute mineral acids is decomposed into formaldehyde and hydroxylamine, together with some formic acid and ammonia, the amount of each product formed varying with temperature, time of reaction, amount of water present, &c. This latter reaction is probably due to some of the oxime existing in the form of the isomeric formamide HCO NH 2.

The first product of the reaction is nitric oxide, which on cooling with the residual gases produces nitrogen peroxide.

But an indefinite number of definitions of the product of two complex numbers yield interesting results.

The product of two complex numbers of the second order - namely, l e l +x 2 e 2 and y i e l +y 2 e 2, is in this case defined to mean the complex (x i y i - x 2 y 2)e i +(x i y 2 +x 2 y 1)e 2.

Four-fifths of the net product of the revenues, after deduction of the first charge of £T590,000, was to be applied.to the service of the interest on the new reduced debt, and provided that the four-fifths were sufficient to allow the distribution of 1% interest, one-fifth was to be devoted to sinking fund; but this latter fifth was to be reduced, if necessary, by an amount sufficient to maintain the rate of interest at i %.

When the net product of the ceded revenues amounts to £T2,157,375, the surplus is divisible as to 75% to the Turkish government and 25% to the public debt administration.

Table A gives the produce of the revenues in 1881-1882, the last year of the administration of the " Galata Bankers," the average product of the first, second, third, fourth and fifth quinquennial periods since the public council was established, and of the year 1907-1908.

Roanoke's factory product in 1905 was valued at $5,544,907 (2.7% more than in 1900).

Cleveland is the headquarters of the largest shoddy mills in the country (value of product, 1905, $ 1, 0 84,594), makes much clothing (1905, $ 10, 4 26, 535), manu factures a large portion of the chewing gum made in the United States, and is the site of one of the largest refineries of the Standard Oil Company.

The product of Cleveland breweries in 1905 was valued at $3,986,059, and of slaughtering and meatpacking houses in the same year at $10,426,535.

Yttria is an exceedingly complex mixture, which has been decomposed, yielding as an intermediate product terbia.

At the same time it was decided that the deputies to that convention should be elected by all Frenchmen 25 years old, domiciled for a year and living by the product of their labour.

Eight years later (1892) the much richer Mesabi Range, the most productive iron range in the world, was opened up; it soon surpassed the Vermilion in its output, and by 1902 the product was nearly ten times greater.

It was difficult to be sure as to the variations in the actual number of fish caught, but it was easy to show that there was a real variability in the yield of cod-liver oil (an important product of the fishery).

Gelatin forms a white amorphous powder; the commercial product, however, generally forms glassy plates.

In 1905 the total value of the factory product was $3,926,632, an increase of 28.2% since 1900.

Burauen is situated in a rich hemp-growing region, and hemp is its only important product.

Date sugar is a valuable commercial product of the East Indies, obtained from the sap or toddy of Phoenix sylvestris, the toddy palm, a tree so closely allied to the date palm that it has been supposed to be the parent stock of all the cultivated varieties.

On the view of the process of conduction described above, the amount of electricity conveyed per second is measured by the product of the number of ions, known from the concentration of the solution, the charge carried by each of them, and the velocity with which, on the average, they move through the liquid.

In 1905 Dover ranked fourth among the manufacturing cities of the state, and first in manufactures of woollens; the value of the city's total factory product in that year was $6,042,901.

It appears to be synthesized in the plant tissues from carbon dioxide and water, formaldehyde being an intermediate product; or it may be a hydrolytic product of a glucoside or of a polysaccharose, such as cane sugar, starch, cellulose, &c. In the plant it is freely converted into more complex sugars, poly-saccharoses and also proteids.

The acid employed may be hydrochloric, which gives the best results, or sulphuric, which is used in Germany; sulphuric acid is more readily separated from the product than hydrochloric, since the addition of powdered chalk precipitates it as calcium sulphate, which may be removed by a filter press.

The rubber is of good quality, though, owing to the method of preparation adopted, the product is often impure and discoloured, and consequently usually brings a lower price than the best rubbers of commerce.

There are many substances produced by plants which can be synthetically prepared by chemical means, but, as with quinine, the process involved is too costly to enable the synthetic product to compete with the natural product.

The washed product contains in its pores a notable proportion of water, which is removed by hanging the rubber for some days in a warm room.

Now a11A11= alla22a33...ann, wherein all is not to be changed, but the second suffixes in the product a 22 a 33 ...a nn assume all permutations, the number of transpositions necessary determining the sign to be affixed to the member.

We thus obtain for the product a determinant of order n.

Hence the product determinant has the principal diagonal elements each equal to A and the remaining elements zero.

The resultant being a product of mn root differences, is of degree mn in the roots, and hence is of weight mn in the coefficients of the forms; i.e.

Hence in all there are mn such systems. If, therefore, we have a third equation, and we substitute each system of values in it successively and form the product of the mn expressions thus formed, we obtain a function which vanishes if any one system of values, common to the first two equations, also satisfies the third.

Hence this product is the required resultant of the three equations.

The discriminant of the product of two forms is equal to the product of their discriminants multiplied by the square of their resultant.

A separation is the symbolic representation of a product of monomial symmetric functions.

If we restrict ourselves to this set of symbols we can uniquely pass from a product of real coefficients to the symbolic representations of such product, but we cannot, uniquely, from the symbols recover the real form, This is clear because we can write n-1 n-2 2 2n-3 3 a1a2 =a l a 2, a 1 a 2 = a 1 a2 while the same product of umbrae arises from n n-3 3 2n-3 3 aoa 3 = a l .a a 2 = a a 2 .

We write;L 22 = a 1 a 2 .b 1 n-2 b2s 3 n - 3 3 n-3 3 n-3 3 a 3 = a 1 a 2 .b 1 b 2 .c 1 c2, and so on whenever we require to represent a product of real coefficients symbolically; we then have a one-to-one correspondence between the products of real coefficients and their symbolic forms. If we have a function of degree s in the coefficients, we may select any s sets of umbrae for use, and having made a selection we may when only one quantic is under consideration at any time permute the sets of umbrae in any manner without altering the real significance of the symbolism.

For these only will the symbolic product be replaceable by a linear function of products of real coefficients.

Every symbolic product, involving several sets of cogredient variables, can be exhibited as a sum of terms, each of which is a polar multiplied by a product of powers of the determinant factors (xy), (xz), (yz),...

It has been shown by Gordan that every symbolic product is expressible as a sum of transvectants.

If we have a symbolic product, which contains the symbol a only in determinant factors such as (ab), we may write x 2, -x 1 for a 1, a 2, and thus obtain a product in which (ab) is replaced by b x, (ac) by c x and so on.

In particular, when the product denotes an invariant we may transform each of the symbols a, b,...to x in succession, and take the sum of the resultant products; we thus obtain a covariant which is called the first evectant of the original invariant.

Such a symbolic product, if its does not vanish identically, denotes an invariant or a covariant, according as factors az, bz, cz,...

When R =0, and neither of the expressions AC - B 2, 2AB -3C vanishes, the covariant a x is a linear factor of f; but, when R =AC - B 2 = 2AB -3C =0, a x also vanishes, and then f is the product of the form jx and of the Hessian of jx.

The existence of such a relation, as 0-1+0-2+.,.+cr2=0, necessitates the vanishing of a certain function of the coefficients A2, A 3, ...A 9, and as a consequence one product of these coefficients can be eliminated from the expanding form and no seminvariant, which appears as a coefficient to such a product (which may be the whole or only a part of the complete product, with which the seminvariant is associated), will be capable of reduction.

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.

Hence every product of A 1, A2, A3, A4, which contains the product A 4 A 3 disappears before reduction; this means that every seminvariant, whose partition contains the parts 4, 3, is a perpetuant.

For the case 8=1, 0' =2, the condition is a i r 1 72 = A032=0; and the simplest perpetuant, derived directly from the product A 1 B 21 is (I)a(2)b-(21)b; the remainder of those enumerated by z3 I z.

Or, lastly, we may leave the exponents h, k, j,1, untouched and consider the product i i i 2 .

There is no linear covariant, since it is impossible to form a symbolic product which will contain x once and at the same time appertain to a quadratic. (v.) is the Jacobian; geometrically it denotes the bisectors of the angles between the lines ax, or, as we may say, the common harmonic conjugates of the lines and the lines x x .

In 1905 the borough ranked fifth among the cities of the United States in the manufacture of glass (plateglass, lamp chimneys and bottles), its product (valued at $1,841,308) being 2.3% of that of the whole country.

The value of the factory product in 1905 was $2,081,019, an increase of 20.6% since 1900.

The slag is a waste product, and the flue-dust, collected by special devices in dust-chambers, is briquetted by machinery, with lime as a bond, and then resmelted with the ore-charge.

The conclusions arrived at by earlier writers are combated by Joseph Bedier in the first volume, "Le Cycle de Guillaume d'Orange" (1908), of his Legendes epiques, in which he constructs a theory that the cycle of Guillaume d'Orange grew up round the various shrines on the pilgrim route to Saint Gilles of Provence and Saint James of Compostella - that the chansons de geste were, in fact, the product of 11th and 12th century trouveres, exploiting local ecclesiastical traditions, and were not developed from earlier poems dating back perhaps to the lifetime of Guillaume of Toulouse, the saint of Gellone.

When we know the mass of the earth in gravitational measure, its product by the denominator of the fraction just mentioned gives the mass of the sun in gravitational measure.

Other conditions remaining unchanged, the force between two poles is proportional to the product of their strengths; it is repulsive or attractive according as the signs of the poles are like or unlike.

If m, and m 2 are the strengths of two poles, d the distance between them expressed in centimetres, and f the force in dynes, f=ml m2/d2 (I) The force is one of attraction or repulsion, according as the sign of the product m l m 2 is negative or positive.

The moment, M, M or V, of a uniformly and longitudinally magnetized bar-magnet is the product of its length into the strength of one of its poles; it is the moment of the couple acting on the magnet when placed in a field of unit intensity with its axis perpendicular to the direction of the field.

Such a filament is called a simple magnetic solenoid, and the product aI is called the strength of the solenoid.

A thin sheet of magnetic matter magnetized normally to its surface in such a manner that the magnetization at any place is inversely proportional to the thickness h of the sheet at that place is called a magnetic shell; the constant product hI is the strength of the shell and is generally denoted by 4, or 4.

The potential at any point due to a magnetic shell is the product of its strength into the solid angle w subtended by its edge at the given point, or V = Fu.

The product MH is first determined by suspending the magnet horizontally, and causing it to vibrate in small arcs.

Du Bois believes this to be an important general law, applicable to the case of every paramagnetic substance, and suggests that the product KB should be known as " Curie's constant " for the substance.

Another vegetable product of the Amazon region is made from the fruit of the Paullinia sorbilis, Mart., and is known by the name of guarand.

Tobacco is also widely cultivated, and the product of some states, such as Bahia, Minas Geraes and Goyaz, has a high local reputation for its excellence.

The product of the elevated inland regions is good, but the costs of transportation and the small profits afforded have prevented its extensive cultivation, and it is imported from the La Plata republics for consumption along the coast.

Vegetable wax, which is an excellent substitute for beeswax, is a product of the carnahuha palm (Copernicia cerifera), and is an important export from Ceara.

The crude methods of preparing jerked beef were also modified to some extent by better equipped abattoirs and establishments for preparing beef extract, preserved meats, &c. There were also mills for crushing the dried mate leaves, cigar and 1 The " bran " exported is from imported wheat and cannot be considered a national product.

In 1904 the total value of the city's factory product was $6,177,170, an increase of 31.1% over that of 1900.

When methyl iodide is used, nitromethane is the sole product, but the higher homologues give more or less of the isomeric nitrous esters.

The former is the principal product of this province.

Several members of the order are used medicinally for the strong purging properties of the milky juice (latex) which they contain; scammony is the dried latex from the underground stem of Convolvulus Scarnmonia, a native of the Levant, while jalap is the product of the tubercles of Exogonium Purga, a native of Mexico.

We find that the product a m X a m X a m is equal to a im; and, by definition, the product; /a X -la X Ala is equal to a, which is a'.

Suppose, for instance, that n=5, so that we take five factors (A+a) (B+b) (C+c) (D+d) (E+e) and find their product.

If, however, the 3.4.5 results of making changes like this are written down, it will be seen that any one term in the required product is written down several times.

Denote the product n(n +I) ..

Another kind of sequence is that which is formed by introducing the successive factors of a continued product; e.g.

A continued product of this kind can, by taking logarithms, be replaced by an infinite series.

The sum and product of two quaternions are defined by the formulae mi ase + F+lases = (a s + 133) es 2arer X ZO,es = Fiarfseres, where the products e,e, are further reduced according to the following multiplication table, in which, for example, the eo e1 e2 e3 second line is to be read eieo = e1, e 1 2 = - eo, e i e 2 = es, eie3 = - e2.

Every unit of the rth species which does not vanish is the product of r different units of the first species; two such units are independent unless they are permutations of the same set of primary units e i, in which case they are equal or opposite according to the usual rule employed in determinants.

If E is any extensive unit, there is one other unit E', and only one, such that the (progressive) product EE' =- r.

The symbol AB, from this point of view, is called the inner product of A and B, as distinguished from the outer product IAB.

An inner product may be either progressive or regressive.

In the first two cases the product is said to be pure, in the third case mixed.

A pure product is associative; a mixed product, speaking generally, is not.

One of the most important questions in investigating a linear algebra is to decide the necessary relations between a and b in order that this product may be zero.

The name l'arte magiore, the greater art, is designed to distinguish it from l'arte minore, the lesser art, a term which he applied to the modern arithmetic. His second variant, la regula de la cosa, the rule of the thing or unknown quantity, appears to have been in common use in Italy, and the word cosa was preserved for several centuries in the forms toss or algebra, cossic or algebraic, cossist or algebraist, &c. Other Italian writers termed it the Regula rei et census, the rule of the thing and the product, or the root and the square.

The value of the factory product in 1905 was $10,591,143, being 10 6% more than the product value of 1900.

The value of the city's factory product was $48,036,593 in 1905, $4 1, 74 1, 9 8 0 in 1900.

The manufacture of textiles is the most important industry; in 1905 the city produced worsteds valued at $30,926,964 and cotton goods worth $5,745,611, the worsted product being greater than that of any other American city.

By reducing the oxide with charcoal at a high temperature, he obtained a product which he took to be metallic uranium.

In any case the titles are manifestly the product of the same uncritical spirit as we have just been speaking of, for not only are many of the titles certainly wrong, but they are wrong in such a way as to prove that they date from an age to which David was merely the abstract psalmist and which had no idea whatever of the historical conditions of his age.

Scholtz (Ber., 1894, 2 7, p. 2 95 8) from piperonyl acrolein (the condensation product of piperonal and acetaldehyde) and acetic acid.

Anyhow, it is much to be regretted that no Syriac writing from Harran has survived.3 Syriac literature continued in life from the 3rd to the 14th century A.D., but after the Arab conquest it became an increasingly artificial product, for Arabic gradually killed the vernacular use of Syriac.

In 1905 its factory product was valued at $6,731,740, an increase of 41 6% since 1900.

Crum was probably the first to recognize that some hydrogen atoms of the cellulose had been replaced by an oxide of nitrogen, and this view was supported more or less by other workers, especially Hadow, who appears to have distinctly recognized that at least three compounds were present, the most violently explosive of which constituted the main bulk of the product commonly obtained and known as guncotton.

This particular product was insoluble in a mixture of ether and alcohol, and its composition could be expressed by the term tri-nitrocellulose.

The nitrated product retains the outward form of the original cellulose.

No effort is made to improve the Venezuelan product, a part of which is exported to Cuba for cigar making.

Cacau (Theobroma cacao) is an indigenous product and is extensively cultivated on the Caribbean slopes.

Its principal product is " papelon," or brown sugar, which is put on the market in the shape of small cylindrical and cubical masses of 14 to 31 lb weight.

Among its manufactures are foundry and machineshop products, boilers, carriages and wagons, agricultural implements, pipe and fittings, working-men's gloves, &c. In 1905 the total factory product was valued at $6,729,381, or 61.5% more than in 1900.

The value of the factory product in 1904 was $13,141,767, an increase of 82.9% since 1900.

It wastes in the disease known as " myxoedema," and the above product gathers in the tissues, in that disease, to such an extent as to give rise to what has been termed a " solid oedema."

Nowak, however, found later that he could generate it where the turpentine failed to induce suppuration; he believes that it may arise quite apart from the influence of the organisms of suppuration, that it is not a biological product of the micro-organisms of disease, and also that it has nothing to do with emaciation.

In fact the whole Samaj movement is as distinct a product of the contest of Hinduism with Christianity in the 19th century, as the Panth movement was of its contest with Islam 300 years earlier.

The action is very rapid, and the product, which rises to the top of the acids, is separated and washed successively with cold and then tepid water, and finally with water made slightly alkaline with sodium carbonate or hydroxide, to remove all adhering or dissolved acids which would otherwise render the product very unstable.

When the mineral is transported by rail or water to concentration or metallurgical works for treatment, or to near or distant markets for sale, provision must be made for the economical loading of railway wagons or vessels, and for the temporary storage of the mineral product.

The raw materials used in this manufacture are chosen with considerable care, since the requirements as to the colour of the product are somewhat stringent.

Silicon iodoform, SiHI 3, is formed by the action of hydriodic acid on silicon, the product, which contains silicon tetraiodide, being separated by fractionation.

Iron, for instance, is converted first into FeC1 21 ultimately into FeCl 3, which practically means a mixture of the two chlorides, or pure FeC1 3 as a final product.

The ultimate chlorination product of copper, CuC1 2, when heated to redness, decomposes into the lower chloride, CuCI, and chlorine.

I n a straight uniform current of fluid of density p, flowing with velocity q, the flow in units of mass per second across a plane area A, placed in the current with the normal of the plane making an angle 0 with the velocity, is oAq cos 0, the product of the density p, the area A, and q cos 0 the component velocity normal to the plane.

If there are more B corners than one, either on xA or x'A', the expression for i is the product of corresponding factors, such as in (5) Restricting the attention to a single corner B, a = n(cos no +i sin 110) _ (b-a'.0-a) +1!

These theorems, which hold for the motion of a single rigid body, are true generally for a flexible system, such as considered here for a liquid, with one or more rigid bodies swimming in it; and they express the statement that the work done by an impulse is the product of the impulse and the arithmetic mean of the initial and final velocity; so that the kinetic energy is the work done by the impulse in starting the motion from rest.

The whole story is a composite product, and it is possible that some of the stories are artificially attached to the central figure.

The development of other species of Vitis, such as the curious succulent species of the Soudan and other parts of equatorial Africa, or the numerous kinds in India and Cochin China, is of course possible under suitable conditions; but it is obvious that an extremely long period must elapse before they can successfully compete with the product of many centuries.

As a matter of fact, only arabinose gives an active product on oxidation; it is therefore to be supposed that arabinose is the - - - compound, and consequently CH 2 (OH) - - - + COH = /-glucose CH 2 (OH) + - - - COH = l-gulose.

Maltose, malt-sugar, maltobiose, C12H22011, is formed, together with dextrine, by the action of malt diastase on starch, and as an intermediate product in the decomposition of starch by sulphuric acid, and of glycogen by ferments.

The sap is purified and concentrated in a simple manner, the whole work being carried on by farmers, who themselves use much of the product for domestic and culinary purposes.

The product from plants which have not been topped is of little value.

Important changes take place in the tobacco leaf from the time it is cut until the finished product is ready for consumption.

During recent years the average value of the product has fallen, due apparently to deterioration in'quality.

To obtain a product free of Cl or S04, there must be an excess of alkali and the zinc salt must be poured into the hot solution of the carbonate.

The only other mineral product is manjak, a species of asphalt, also found in this district and to some extent exported.

In 1905 the total factory product was valued at $8,314,760.

Ordinarily carbon is used as the electrode material, but when carbon comes in contact at high temperatures with any metal that is capable of forming a carbide a certain amount of combination between them is inevitable, and the carbon thus introduced impairs the mechanical properties of the ultimate metallic product.

Aluminium bronze (aluminium and copper) and ferro-aluminium (aluminium and iron) have been made in this way; the latter is the more satisfactory product, because a certain proportion of carbon is expected in an alloy of this character, as in ferromanganese and cast iron, and its presence is not objectionable.

Methods have also been discovered for the electrolytic manufacture of calcium, which have had the effect of converting a laboratory curiosity into a product of commercial importance.

While in every line it bears the marks of intense individuality, it is at the same time a product highly characteristic of the age, and even of the decade, in which it appeared.

The product has a brilliant white fracture, a specific gravity of 4.87, very friable, but harder than quartz or steel.

But there was no domestic product nor manufacture; the kingdom depended solely upon the now precarious transit dues, and administration was in the hands of a major domus also called khakan.