An Arithmetical Theory of Certain Numerical Functions
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In our eReader you can find the full English version of the book. Read An Arithmetical Theory of Certain Numerical Functions Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book An Arithmetical Theory of Certain Numerical Functions
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Hence, etc.
*3. 30. If in any equivalence, either of xf/, xp' may replace the other (without affecting the validity of the equivalence), then 4^, \p' are identically equivalent: symbolically \p r:^ yp'.
Identitij and identical equivalence are distinct relations. A functional form xp is identical only to \p, and is identically equivalent to xp, obviously; but if xp is identically equivalent to \p', it does not follow that \p' is identical to \p [cf. 3. 31]. The distinction is of the greatest imp...ortance in connection with 0. 00 (ii); by means of the concept of associate functions [3. 32], uniformity is- introduced into apparently heterogeneous masses of functions.
t3. 31. Exp ~ xp. [Notation and proof directly from 3. 29; 3. 30. ] *3. 32. Ei (i = 1, •••, r, •••) being units, xp any functional form, the identically equivalent functional forms ei\p are associates of xp.
t3. 33. In respect to ideal multiplication a functional form is indistinguish- able from any of its associates [3.
What to read after An Arithmetical Theory of Certain Numerical Functions?
You can find similar books in the "Read Also" column, or choose other free books by Eric Temple Bell to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Hence, etc.
*3. 30. If in any equivalence, either of xf/, xp' may replace the other (without affecting the validity of the equivalence), then 4^, \p' are identically equivalent: symbolically \p r:^ yp'.
Identitij and identical equivalence are distinct relations. A functional form xp is identical only to \p, and is identically equivalent to xp, obviously; but if xp is identically equivalent to \p', it does not follow that \p' is identical to \p [cf. 3. 31]. The distinction is of the greatest imp...ortance in connection with 0. 00 (ii); by means of the concept of associate functions [3. 32], uniformity is- introduced into apparently heterogeneous masses of functions.
t3. 31. Exp ~ xp. [Notation and proof directly from 3. 29; 3. 30. ] *3. 32. Ei (i = 1, •••, r, •••) being units, xp any functional form, the identically equivalent functional forms ei\p are associates of xp.
t3. 33. In respect to ideal multiplication a functional form is indistinguish- able from any of its associates [3.
What to read after An Arithmetical Theory of Certain Numerical Functions?
You can find similar books in the "Read Also" column, or choose other free books by Eric Temple Bell to read onlineMoreLess
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