The Canadian Journal of Industry, Science and Art, 2. köide,5. number;5. köideCanadian Institute., 1860 |
From inside the book
Page 28
... occurring in ƒ ( p ) , of the same order , and with a common index ; A1 , A2 , & c . , being whole numbers , less than s ; while P is an expression involving only such surds , occurring in ƒ ( p ) , as are of lower orders than the surds ...
... occurring in ƒ ( p ) , of the same order , and with a common index ; A1 , A2 , & c . , being whole numbers , less than s ; while P is an expression involving only such surds , occurring in ƒ ( p ) , as are of lower orders than the surds ...
Page 34
... occurs in ƒ ( p ) in any of its powers , into zT , z being an th root of unity , distinct from unity , let ƒ ( p ) ... occur in the expressions A , B , A. , B. , & c . , or are subordinates of Y or of U ; Y being a term in the series , Y ...
... occurs in ƒ ( p ) in any of its powers , into zT , z being an th root of unity , distinct from unity , let ƒ ( p ) ... occur in the expressions A , B , A. , B. , & c . , or are subordinates of Y or of U ; Y being a term in the series , Y ...
Page 35
... occur in ƒ ( p ) , this would give us , D , A.Y = DA , Y n ( 5 ) m Now D cannot be zero , else A. Y would vanish ; but A , is ( by hypo- thesis ) not zero ; and the equation , Y = 0 , is impossible by Def . 9. Hence , since D is not ...
... occur in ƒ ( p ) , this would give us , D , A.Y = DA , Y n ( 5 ) m Now D cannot be zero , else A. Y would vanish ; but A , is ( by hypo- thesis ) not zero ; and the equation , Y = 0 , is impossible by Def . 9. Hence , since D is not ...
Page 36
... occur in ƒ ( p ) , and are also found in Y , must , in order that Y may be transformed into y , undergo the same ... occurring in ƒ ( p ) , a function in a simple form . Therefore ( Cor . 1 , Def . 9 ) the coefficients , a , a1 , & c ...
... occur in ƒ ( p ) , and are also found in Y , must , in order that Y may be transformed into y , undergo the same ... occurring in ƒ ( p ) , a function in a simple form . Therefore ( Cor . 1 , Def . 9 ) the coefficients , a , a1 , & c ...
Page 37
... occurring in the expression on the left hand side of this equation , being necessarily subordinates of some of the surds , Ye , Y1 , ...... , Ya , are all present in f ( p ) . Those occurring in the expression on the right hand side of ...
... occurring in the expression on the left hand side of this equation , being necessarily subordinates of some of the surds , Ye , Y1 , ...... , Ya , are all present in f ( p ) . Those occurring in the expression on the right hand side of ...
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Common terms and phrases
abundant acid alumina appears Archegosaurus augite beds C. C. Str Canada Canada West Canadian Institute carbonate character Cholula Clear coefficients colour common copper crystalline crystals deposits equal equation expression feet feldspar formation fossils function Genus geological greater Hastings County hornblende inap inches inscription iron Lake Lake Winnipeg latter Laurentian Least windy less lime limestone magnesia magnetic masses Mean velocity METEOROLOGICAL REGISTER miles per hour mineral Monthly range mound mountain natural North observed occurs olivine portion present Prof Professor Prop pyrites quartz Rain remarkable right angles River rocks root of unity side silica Silurian Snow species specimens stone strata structure surds surface temperature thickness tion Toronto township trachytes triangle valve varieties West width Wind Wood Warbler Y₁
Popular passages
Page 127 - I do not know what I may appear to the world ; but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Page 119 - Refrain from: these men* and let them alone : for if this counsel or this work be of men, it will come to nought : But if it be of God, ye cannot overthrow it...
Page 61 - My substance was not hid from thee, when I was made in secret, and curiously wrought in the lowest parts of the earth.
Page 122 - Lo, these are parts of his ways: but how little a portion is heard of him? but the thunder of his power who can understand?
Page 66 - To give a stronger impulse and a more systematic direction to scientific inquiry, — to promote the intercourse of those who cultivate Science in different parts of the British Empire, with one another, and with foreign philosophers, — to obtain a more general attention to the objects of Science, and a removal of any disadvantages of a public kind which impede its progress.
Page 13 - The specific gravity of a body is its weight compared with the weight of an equal bulk of pure water. In...
Page 192 - A sight most horrible and disgusting broke upon us as we ascended a sand dune overhanging the little dell in which the pound was built. Within a circular fence 120 feet broad, constructed of the trunks of trees, laced with withes together, and braced by outside supports, lay tossed in every conceivable position over two hundred dead buffalo. From old bulls to calves of three months old, animals of every age were huddled together in all the forced attitudes of violent death.
Page 119 - ... been led to the conclusion that those powers of nature which give rise to races and permanent varieties in animals and plants, are the same as those which in much longer periods produce species, and in a still longer series of ages give rise to differences of generic rank. He appears to me to have succeeded by his investigations and reasonings in throwing a flood of light on many classes of phenomena connected with the affinities, geographical distribution, and geological succession of organic...
Page 370 - Therefore I should infer from analogy that probably all the organic beings which have ever lived on this earth, have descended from some one primordial form, into which life was first breathed.
Page 193 - ... climb to the top of the fence, and, with the hunters who have followed closely in the rear of the buffalo, spear or shoot with bows and arrows or fire-arms at the bewildered animals, rapidly becoming frantic with rage and terror, within the narrow limits of the pound.