Help


[permalink] [id link]
+
Page "Euler's totient function" ¶ 47
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Since and same
Since the Connally amendment has the effect of giving the same right to the other party to a dispute with the United States, it also prevents us from using the court effectively.
Since the same method of shaping and fitting the dogs and notches is used throughout, we will only describe the construction of one locking bar.
Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.
Since experience indicates that effluents from oxidation ponds do not create major problems at these BOD concentrations, the goal for the effluent quality of the accelerated treatment system was the same as from conventional oxidation ponds.
The number of neutrons, N, is known as the neutron number of the atom ; thus, A = Z + N. Since protons and neutrons have approximately the same mass ( and the mass of the electrons is negligible for many purposes ), and the mass defect is usually very small compared to the mass, the atomic mass of an atom is roughly equal to A.
Since the telescope has been adjusted by the angle SES ′, the star's apparent position is hence displaced by the same angle.
Since the Belgian Blue ’ s bone structure is the same as a normal cow, however holding a greater amount of muscle, causes them to have a greater meat to bone ratio.
Since many bowls look the same, coloured, adhesive stickers or labels are also used to mark the bowls of each team in bowls matches.
Since, in the same verse, the temple has been rebuilt, the book must also be later than 515 BCE.
Since computers can make arithmetic calculations much faster and more accurately than humans, it was thought to be only a short matter of time before the technical details could be taken care of that would allow them the same remarkable capacity to process language.
Since it reflects spoken language, it does not use the positional system as in Arabic numerals, in the same way that spelling out numbers in English does not.
Since most people, and most cultures, substantially agree about most pure ethical situations, casuistry often creates ethical arguments that can persuade people of different ethnic, religious and philosophical beliefs to treat particular cases in the same ways.
Since this curl is not the same at every point, its plot is a bit more interesting:
Since we already deduced that NP is a subset of co-NP it follows that they are the same.
Since the Earth could be expected to have roughly the same cratering rate as the Moon, it became clear that the Earth had suffered far more impacts than could be seen by counting evident craters.
Since electrons are fermions, no two electrons can be in the same state, so not all electrons can be in the minimum-energy level.
Since the development of armored warfare the distinction between light and heavy armor has persisted basically along the same lines.
Since the string vibrates from the bridge only as far as the tangent, multiple keys with multiple tangents can be assigned to the same string.
Since the 1980s theologians from the Oriental ( non-Chalcedonian ) Orthodox and Eastern ( Chalcedonian ) Orthodox churches have been meeting in a bid to resolve theological differences, and have concluded that many of the differences are caused by the two groups using different terminology to describe the same thing ( see Agreed Official Statements on Christology with the Eastern Orthodox Churches ).
Since capitalists purchase labour and capital out of the same common pool of available but scarce labor and capital, it is essential that their plans fit together in at least a semi-coherent fashion.
Since the rate of clocks and the gravitational potential have the same derivative, they are the same up to a constant.
Since the fundamental group is a homotopy invariant, the theory of the winding number for the complex plane minus one point is the same as for the circle.
Since unsaturated fats contain fewer carbon-hydrogen bonds than saturated fats with the same number of carbon atoms, unsaturated fats will yield slightly less energy during metabolism than saturated fats with the same number of carbon atoms.

Since and argument
Since the 1990s the term has been used ( interchangeably with " the Copernicus method ") for J. Richard Gott's Bayesian-inference-based prediction of duration of ongoing events, a generalized version of the Doomsday argument.
Since the first part of the argument showed the reverse ( r < sub > N − 1 </ sub > ≤ g ), it follows that g = r < sub > N − 1 </ sub >.
Since E < sub > 2 </ sub >-E < sub > 1 </ sub > ≫ kT, it follows that the argument of the exponential in the equation above is a large negative number, and as such N < sub > 2 </ sub >/ N < sub > 1 </ sub > is vanishingly small ; i. e., there are almost no atoms in the excited state.
Since Plato's argument has shaped western philosophy, rhetoric has mainly been regarded as an evil that has no epistemic status.
" Since we are not privy to the dreams of the other replicants, this is unknown-however it does add weight to the argument.
( Alternate argument: Since if and only if, the columns of satisfy the same linear relationships as the columns of.
Since the first premise is actually false, the argument, though valid, is not sound.
Since bundle theory states that all concrete particulars are merely constructions or ' bundles ' of attributes, or qualitive properties, the substance theorist's indiscernibility argument claims that the ability to recognize numerically different concrete particulars, such as concrete objects, requires those particulars to have discernible qualitative differences in their attributes and that the metaphysical realist who is also a bundle theorist must therefore concede to the existence of ' discernible ( numerically different ) concrete particulars ', the ' identity of indiscernibles ', and a ' principle of constituent identity '.
Since Paley is often read in university courses that address the philosophy of religion, the timing of his design argument has sometimes perplexed modern philosophers.
Since that time, he has released evolving versions of two purported generalisations, following independent but complementary approaches, of his original argument.
Since a Taylor series evaluated with a Laurent series as its argument is still a Laurent series, the system can be used to do calculus on transcendental functions if they are analytic.
Since this argument works for any colouring, any K < sub > 6 </ sub > contains a monochromatic K < sub > 3 </ sub >, and therefore R ( 3, 3 ) ≤ 6.
Since this probability is an increasing function of p ( proof via coupling argument ), there must be a critical p ( denoted by p < sub > c </ sub >) below which the probability is always 0 and above which the probability is always 1.
The fallacy is in line 5: the progression from line 4 to line 5 involves division by a − b, which is zero since a equals b. Since division by zero is undefined, the argument is invalid.
Since the argument says one cannot know whether he or she is a brain in a vat, then he or she cannot know whether most of his or her beliefs might be completely false.
Since, in principle, it is impossible to rule out oneself being a brain in a vat, there cannot be good grounds for believing any of the things one believes ; a skeptical argument would contend that one certainly cannot know them, raising issues with the definition of knowledge.
When the expected value of the stopping time is finite ( which is true in practice ), the following argument explains why the betting system fails: Since expectation is linear, the expected value of a series of bets is just the sum of the expected value of each bet.
According to Dan Lusthaus, " Since the progression and development of his thought ... is so strikingly evident in these works, and the similarity of vocabulary and style of argument so apparent across the texts, the theory of Two Vasubandhus has little merit.
Since a quartic function is a polynomial of even degree, it has the same limit when the argument goes to positive or negative infinity.
Since a Greek audience would accept this concept, his argument could concentrate on identifying this Logos with Jesus.
* Since power series can be differentiated term-wise, applying the above argument in the reverse direction and the power series expression for
Since the Sejm usually vetoed a monarch's plans for war, this constitutes a notable argument for the democratic peace theory.
He had sent messages to the local tribes to determine their intentions .< ref > Foote Note: Reference to Connolly Journal: John Connolly to George Washington, May 28, 1774 "... I have < s > accq </ S > acquainted his Excellency Lord dunmore my Oppinion of matters here, in a concise manner ; and oft which I judg'd necessary toward the advantage of this promi Settlement ; & in order to evince the propriety of my argument transmitted a Coppy of my Journal Since the beginning of ou with the natives, which I apprehend his Lordship will lay the Honourable House -- --" I am with much Regard ... Dr Sir ...
Since z < sup > 1 / 2 </ sup > = e < sup > 1 / 2 Log ( z )</ sup >, on the contour outside the branch cut, we have gained 2π in argument along γ ( by Euler's Identity, represents the unit vector, which therefore has as its log.

1.084 seconds.