Un Mot Aux Mères 4-5
Un Mot Aux Mères 4-5
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Thèse three équations cannot exist together. We may choose any of the three numbers at random, but then the value of k is deter- mined, and so are the values of the two other numbers. The System of involutions represented by équation ( 12) consists, there- fore, of only a spécial class of involutions. This is also seen from the fact that there occurs but one parameter in (12), while the gênerai involution has two. The System of transformations (11) has one parameter, so that we may conclu de Th...ere are 00 * projective transformations which tratisform a certain involution into 00 ^ other involutions.
114 KA.NSAS UNIVERSITY QUARTERLY.
Thèse x ' projective transformations form a group, for bx-bk ^ ckx-^ b transformée! by bx , bk j * ck^x^-j-b gives: ^^^ j^bk bk, b — ckk^ ^« bk l-bk, , ' ^-ckki"^-^^ To each transformation can also be found the inverse in the saine System — bx. — bk . , c X X— — I," "c — f or puttmg k for k.
CKX D bx,-~bk X ^^- ckx, t b The invariant points of this group are X ~ f^i * -, i.
What to read after Un Mot Aux Mères 4-5?
You can find similar books in the "Read Also" column, or choose other free books by M., L. S. De to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Thèse three équations cannot exist together. We may choose any of the three numbers at random, but then the value of k is deter- mined, and so are the values of the two other numbers. The System of involutions represented by équation ( 12) consists, there- fore, of only a spécial class of involutions. This is also seen from the fact that there occurs but one parameter in (12), while the gênerai involution has two. The System of transformations (11) has one parameter, so that we may conclu de Th...ere are 00 * projective transformations which tratisform a certain involution into 00 ^ other involutions.
114 KA.NSAS UNIVERSITY QUARTERLY.
Thèse x ' projective transformations form a group, for bx-bk ^ ckx-^ b transformée! by bx , bk j * ck^x^-j-b gives: ^^^ j^bk bk, b — ckk^ ^« bk l-bk, , ' ^-ckki"^-^^ To each transformation can also be found the inverse in the saine System — bx. — bk . , c X X— — I," "c — f or puttmg k for k.
CKX D bx,-~bk X ^^- ckx, t b The invariant points of this group are X ~ f^i * -, i.
What to read after Un Mot Aux Mères 4-5?
You can find similar books in the "Read Also" column, or choose other free books by M., L. S. De to read onlineMoreLess
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