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1
The Mathematics Dictionary
Totitive Transformation TOTI-TIVE, n. totitive of an integer. A positive integer not
greater than the given positive integer and relatively prime to it (+ 1 being the
only common factor that is a positive integer); 1, 3, 5, and 7 are the totitives of 8.
2
The American Mathematical Monthly: Devoted to the Interests ...
Since jc<<^(w) the necessity of representing class x demands that x be a
totitive.
Theorem 3 follows. Corollary 3.1. m is admissible only if Nm <pi — l. If Nm^pi— 1,
the consecutive numbers from m—<j>(m) to 0(w) inclusive will constitute at ...
3
Proceedings of the London Mathematical Society
An attempt to form a relation between the X for non-totitive points leads to mere
identities. Suppose, for instance, t, instead of being a totitive, wore a multiple of a.
Then the a, a determined as above would be equal, and the X-aggregate would ...
2 Mope Totitives Recall that for n a positive integer any positive integer less than
and prime to n is a totitive of n. The totitives of 10 are the integers 1, 3, 7, 9 and if
we add these successively to 10 we obtain 11, 13, 17, 19; all prime. The largest ...
5
Proceedings / London Mathematical Society
An attempt to form a relation between the X for non-totitive points leads to mere
identities. Suppose, for instance, t, instead of being a totitive, were a multiple of a.
Then the a, a determined as above would be equal, and the X-aggregate would ...
Each of these $(n) integers is called a totitive of n. Santos [1] considered the
problem of finding the largest integer with the property that, when added to each
of its totitives, yields a prime number. He proved that a largest such integer does
exist ...
7
Proceedings of the Cambridge Philosophical Society: ...
Dividing this term by fi we reach the number b2 which is also a totitive of a ;
thence from b3 we reach a totitive b3 and so on until finally we reach a totitive bt+
1 which is equal to bu and observe the cycle of totitives (&!, b2, ... bs) of order s.
8
Chambers's Twentieth Century Dictionary (part 4 of 4: S-Z ...
Totitive, tot′itiv,n. a numberless than another having with it no common divisor
but unity. Totorne, tōōtōrn′,p.adj. (Spens.)tornto pieces. Totter, tot′ėr, v.i. to
shake as if about to fall: to be unsteady: to stagger: to shake.—n.Tott′erer.—adv.
9
Roget's Thesaurus of English Words and Phrases
... 621 tosspot 959 total 50 - abstinence temperate 953 ascetic 955 - eclipse 421
sum - 800 totalizator 621 totally 52 tote 270 totem 550 totidem verbis imitation 19
exactness 494 totient 84 toties quoties 136 totis viribus 686 totitive 84 toto: in ...
Christopher Orlando Sylvester Mawson
10
English Language Word Builder
... JOCOSITY+ MINACITY+ MOTIVITY+ NODALITY+ PERSEITY+ RIMOSITY+
SATANITY+ TEPIDITY+ TUMIDITY+ VENOSITY+ BOTHRIUM EXORDIUM
INGENIUM ONYCHIUM PSYLLIUM SILICIUM VENIDIUM AUDITIVE GENITIVE
TOTITIVE ...
