Proceedings of the American Academy of Arts and Sciences, Том 48American Academy of Arts and Sciences., 1913 |
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Страница 48
... consisting always of placing the first matrix at the top and the others in order under it to form a single matrix.2 2 In this multiplication each matrix must have four columns . If instead of [ A B ] we have a complex the operation must ...
... consisting always of placing the first matrix at the top and the others in order under it to form a single matrix.2 2 In this multiplication each matrix must have four columns . If instead of [ A B ] we have a complex the operation must ...
Страница 52
... consisting of multiplying two factors . If the total number of rows in two matrices of the same kind ( progressive or regressive ) is less than n , the two are multiplied together according to the rule already given : If the total ...
... consisting of multiplying two factors . If the total number of rows in two matrices of the same kind ( progressive or regressive ) is less than n , the two are multiplied together according to the rule already given : If the total ...
Страница 68
... consisting of moving one side of the triangle along its line and keeping the opposite vertex fixed we can move the triangle into coincidence with any other having the same area . Under each of these operations the area is proportional ...
... consisting of moving one side of the triangle along its line and keeping the opposite vertex fixed we can move the triangle into coincidence with any other having the same area . Under each of these operations the area is proportional ...
Страница 69
... consisting of moving one triangle of the tetrahedron in its plane it is seen that the tetra- hedron can be moved into any other having equal volume . These motions keep the volume constant and therefore k is an absolute constant . Hence ...
... consisting of moving one triangle of the tetrahedron in its plane it is seen that the tetra- hedron can be moved into any other having equal volume . These motions keep the volume constant and therefore k is an absolute constant . Hence ...
Страница 72
... consisting of the powers of p and those powers multiplied by F. We shall find that this system forms a group under progressive and regres- sive multiplication , in the sense that the product of any two is either zero or a numerical ...
... consisting of the powers of p and those powers multiplied by F. We shall find that this system forms a group under progressive and regres- sive multiplication , in the sense that the product of any two is either zero or a numerical ...
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2-vector Abietineous Academy Agathis Agathis australis angle antheridia apex appear Araucarian axis bars of Sanio basal cell become branches bulbils central cells chlamydospores coil compressibility condition conidia Conifers cultures curve determined diameter Diels dimensional distally distinguished ectoderm energy equations Figure genus geometry Heraclitus hyaline hyphae inner product k₁ lamp lateral length to tip margin mesogloea method motion mycelium nearly nematocysts nilpotent obtained outer outer product Papulospora perithecium perpendicular pitting plane planoid Plate polyp pressure primordium produced pyrosulphuryl chloride quartz radiation rays reactance receptacle resin canals S₁ Sanio scalar short silicon silicon tetrachloride slightly species spherical spores stalk-cell stomodaeum structure sub system subbasal cell subtended suffused surface temperature terminal tion tip of perithecium Total length tracheids tube ultra violet usually velocity walls wood zero δὲ καὶ τὸ τοῦ τῶν
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