So to take the example, if in market X company B ( with 10 % market share ) suddenly bought out the shares of company C ( with 10 % also ) then this new market concentration would make the index jump to 0. 162.

So feminist economics calls for a more comprehensive index which includes participation in unpaid work.

So GT is a kind of capacity-derived index that is used to rank a ship for purposes of determining manning, safety and other statutory requirements and is expressed simply as GT, which is a unitless entity, even though its derivation is tied to the cubic meter unit of volumetric capacity.

So D has index 0.

So this makes it possible to evaluate the analytical index.

So the Atiyah – Singer index theorem implies some deep integrality properties, as it implies that the topological index is integral.

So is finite, and any with larger than any index in can be used as the starting point of an infinite increasing subsequence.

So, the system may have an index for the Artist attribute on MP3 files.

So competence cannot rely on a simple index or synonymy for objects and styles.

So when searching is to be done, the index, which is a representation of the entire data suitable for fast searching, is used.

So the Theil index gives a value in terms of an entropy that measures how far S < sub > Theil </ sub > is away from the " ideal " S < sub > max </ sub >.

So it suffices to prove the four color theorem for triangulated graphs to prove it for all planar graphs, and without loss of generality we assume the graph is triangulated.

So, the prime number theorem can also be written as π ( x ) ~ Li ( x ).

So, just like one can find the value of an Integral ( f = dF ) over a 1-dimensional manifolds () by considering the anti-derivative ( F ) at the 0-dimensional boundaries (), one can generalize the fundamental theorem of calculus, with a few additional caveats, to deal with the value of integrals ( dω ) over n-dimensional manifolds ( Ω ) by considering the anti-derivative ( ω ) at the ( n-1 )- dimensional boundaries ( dΩ ) of the manifold.

So the fundamental theorem reads:

So Euler's theorem yields 7 < sup > 4 </ sup > ≡ 1 ( mod 10 ), and we get 7 < sup > 222 </ sup > ≡ 7 < sup > 4 × 55 + 2 </ sup > ≡ ( 7 < sup > 4 </ sup >)< sup > 55 </ sup >× 7 < sup > 2 </ sup > ≡ 1 < sup > 55 </ sup >× 7 < sup > 2 </ sup > ≡ 49 ≡ 9 ( mod 10 ).

So if there is such a predicate P and a theorem:

So construct the midpoint H between O and P, and draw a circle centered at H through O and P. By Thales ' theorem, the sought point T is the intersection of this circle with the given circle k, because that is the point on k that completes a right triangle OTP.

So, a key criticism is that the theorem is almost always inapplicable in economic reality, because real-world transaction costs are rarely low enough to allow for efficient bargaining.

So, the fact that the time-reversed version of the fluctuation theorem does not ordinarily give accurate predictions in the real world is reason to think that the nonequilibrium state of the universe at the present moment is not simply a result of a random fluctuation, and that there must be some other explanation such as the Big Bang starting the universe off in a low-entropy state ( see below ).

So far it has won the " world cup for theorem provers " ( the CADE ATP System Competition ) in the most prestigious CNF ( MIX ) division eleven times ( 1999, 2001 – 2010 ).

Then all the lines which are common tangents to both P = 0 and Q = 0 are tangent to C. So, by the AF + BG theorem, the tangential equation of C has the form HP + KQ = 0.

So, the truth of the Agoh-Giuga conjecture combined with Wilson's theorem would give: a number p is prime iff

So, it ’ s very much possible that Pythagoras learned this theorem during his visit to India but hid his source of knowledge he went back to Greece!

So this last set of three lines is concurrent if all the other eight sets are because multiplication is commutative, so pqr = qpr, which proves the dual of Pappus's theorem.

So, the Weinberg – Witten theorem applies and we can't get a massless spin-2 ( i. e. helicity ± 2 ) composite / emergent graviton.

So, we can have spin-3 / 2 and spin-2 bound states with arbitrarily small masses but still not violate the theorem.

So I can hear you while I'm checkin' the car.

So we are faced with a vast network of amorphous entities perpetuating themselves in whatever manner they can, without regard to the needs of society, controlling society and forcing upon it a regime representing only the corporation's needs for survival.

So he keeps the veteran in until he can observe the effects of treatment or surgery.

So with four complete Push-Pull Super-Sets No. 1, four of No. 2, four of No. 3 and four to six sets of the Incline Bench Press, you can see that Henri De Courcy has had a terrific mass-building, muscle-shaping, torso-defining workout that cannot be improved upon.

So far as I can see, there is only one way out for the positivist.

So far in history man has been too greatly over-occupied with projecting things into his environment rather than first creating the sort of person who can make the highest use of the things he has created.

So each reading can be given a weight and each reading a score by adding up these weights.

So you can see that Gerald G. Ramsey, director of SMU's food services, is not the ordinary type of craven, women-trodden chef.

So in these pages one can share his wonder at the traditional fiesta of St. Torpetius that still persists in St. Tropez ; ;

So we can say that there is a relation between the apple and the table: namely, the relation of sitting-on.

So, some say, we can say that that relation has being.

So it can be more useful to think in terms of broad " movements " that have rough beginnings and endings.

So, for example, an event in a project can happen on w43 ( week 43 ) or w43-1 ( Monday, week 43 ) or, if the year needs to be indicated, on w0543 or w543 ( year 2005 week 43 ).

So you can explain who Alice ( an individual ) is by pointing her out to me ; or what a rabbit ( a class ) is by pointing at several and expecting me to ' catch on '.

So " 0 " will have exactly one successor, which for convenience we can call " 1 ".

As one article put it: " So why do we agree to a system in which we're dependent on a foreign country's whim before we can prosecute a criminal inside our own borders?

So go to a road you can travel on, if you are a foreigner.

So, user can learn this knowledge in its context.

So we have to resolve the situation amicably and are looking at how both countries can be represented there ,"' Tavola said.

Verbs can also be marked for both mood and tense together, such as the present subjunctive ( So be it ) and the past subjuncitve ( Were it so ), or all three, such as the past perfect subjunctive ( Had it been so ).

So far as can be seen, the chief interest in Homer's works is that of human feeling and emotion, and of drama ; indeed, his works are often referred to as " dramas ".

In 1702, Thomas Savery wrote in The Miner's Friend: " So that an engine which will raise as much water as two horses, working together at one time in such a work, can do, and for which there must be constantly kept ten or twelve horses for doing the same.

So if a page fault occurs, the OS can load the page from disk and then simply re-execute the faulted instruction.

So many types of pleasant labor can be described as a result of an earlier and more painful investment.

Again, on average the worker can transfer no more than the value of these means of labor previously possessed to the finished cup of coffee So the value of coffee produced in a day equals the sum of both the value of the means of labor — this constant capital — and the value newly added by the worker in proportion to the duration and intensity of their work.