Thus, whenever Achilles reaches somewhere the tortoise has been, he still has farther to go.

Thus AGN-like characteristics are expected whenever a supply of material for accretion comes within the sphere of influence of the central black hole.

Thus whenever there is intolerable evil and chaos in the world, there is an appearance of an Avatar.

Thus whenever a theorem and its reciprocal are true we have a biconditional.

Thus 2PL by itself does not seem to have much practical importance, and whenever 2PL or S2PL utilization has been mentioned in the literature, the intention has been SS2PL.

Thus, for example, whenever the United Nations makes reference to Taiwan, which does not appear on its member countries list, it uses the designation " Taiwan, Province of China ", and organizations that follow UN standards usually do the same, such as the International Organization for Standardization in its listing of ISO 3166-1 country codes.

Thus, a dummy variable can be defined as a qualitative representative variable incorporated into a regression, such that it assumes the value 1 whenever the category it represents occurs, and 0 otherwise.

Thus having fully weighed every consideration, I must finally conclude that the statement " I am, I exist " must be true whenever I state it or mentally consider it.

Thus, rather than giving a set amount of time in which to make a move, each player's set of 3 timers all have variable amounts of time remaining in which they can be moved, and that time changes whenever a move is made.

Thus, whenever makes sense, it is equal to, but the latter is always defined, also when.

Thus whenever the scheduler is called due to the current thread leaving the CPU, it can always find another thread to run on that CPU, even if it is only the CPU's idle thread.

Thus, it encouraged people to " point the way " and " set the example " by using the reformed spellings whenever they can.

Thus, whenever she takes over Reiya, she aggressively pursues Loki and keeps others away from him, in particular Skuld.

Thus the output saturates positive whenever the integral ( d ) goes below the 0 V reference level and remains there until ( d ) goes positive with respect to the reference level.

Thus, whenever one finds an allusion to Jonah in Medieval art or literature, it is usually an allegory for the burial and resurrection of Christ.

Thus the Stern – Brocot sequences differ from the Farey sequences in two ways: they eventually include all positive rationals, not just the rationals within the interval, and at the nth step all mediants are included, not only the ones with denominator equal to n. The Farey sequence of order n may be found by an inorder traversal of the left subtree of the Stern – Brocot tree, backtracking whenever a number with denominator greater than n is reached.

Thus most operational checklists call for the routine application of carb heat whenever the throttle is closed in flight.

Thus, Alice seems to face an impossible problem.

Thus, system B has been altered by Alice performing a local measurement on system A.

Thus in order to settle with Alice, Theobald had to sell his overlordship over the counties of Blois, Sancerre, and Châteaudun to the king.

Thus, he is often the straight man for their zany antics ; when he asks the Dodo for help on getting the " monster " ( Alice ) out of his house, Dodo's ultimate solution is to burn the house down, to which the White Rabbit is greatly opposed.

Thus, when the original stadium – the lower level of the current stadium's West Stands – was completed in March 1921, it was called Shields-Watkins Field in honor of the donor and his wife, Alice Watkins-Shields.

Thus, much like Alice, Wilma plays the strong-willed, level-headed person in her marriage, often criticizing Fred for pursuing his various ill-fated schemes.

Thus, for Leadbeater and subsequent theosophists, ex-theosophists ( e. g. Alice Bailey ) and occultists, the Mental Plane is a distinct reality or zone of being, more subtle and refined than the Astral, but denser and coarser than the Causal.

Thus, if rainfall amounts and intensities increase in many parts of the world as expected, erosion will also increase, unless amelioration measures are taken.

Thus in A v United Kingdom, the Court dismissed a claim that a derogation lodged by the British government in response to the September 11 attacks was invalid, but went on to find that measures taken by the United Kingdom under that derogation were disproportionate .< ref >

Thus the Syrian Mandate provided that the government should be based on an organic law which should take into account the rights, interests and wishes of all the inhabitants, and that measures should be enacted “ to facilitate the progressive development of Syria and the Lebanon as independent States ”.

Thus, whereas the United States enforced a peace in much of the lands southward from the Nation and undertook measures to maintain internal tranquility in such areas, the United States on the other hand withdrew from interposition in Mexico.

Thus, Trotsky argues, because a majority of the branches of industry in Russia were originated under the direct influence of government measures — sometimes with the help of government subsidies — the capitalist class was again tied to the ruling elite.

Thus, a neutral point of view requires testing measures consensual to anyone expected to believe the results.

"; and the final reprieve dance, Macheath's " Thus I Stand Like A Turk ", which includes two sections of 16 measures of " dance " marked " viol.

Thus, each state is considering whether any given child has committed an offense, and given that answer, what the most appropriate measures would be for dealing with a child who has done what this child did.

Thus, the 0-homology group measures the number of path connected components of the space.

Thus, a collective agreement providing for fixed rights such as salary rates and pension contributions could not be revised by subsequent legislatures elected by the public at large, even if such measures were required to prevent fiscal insolvency.

Thus, such emergency measures as Chicago's five cooling centers were not fully utilized.

Thus coercivity measures the resistance of a ferromagnetic material to becoming demagnetized.

Thus, whereas the modal intercorrelation among test items will equal zero when the set of items measures several unrelated latent constructs, the average intercorrelation among test items will be greater than zero in this case.

Thus, special measures, such as quality-of-service routing, must be taken to keep packets from being dropped from streams.

Thus, the Schwarzian derivative precisely measures the degree to which a function fails to be a fractional linear transformation.

Thus, on the urgent appeal of the king of Denmark, Charles XIV of Sweden received a peremptory summons to carry out the terms of the Treaty of Kiel ; the petition of the Prince-elector of Hesse to be recognized as king was unanimously rejected ; and measures were taken to redress the grievances of the German mediatized princes.

Thus, estimates obtained from random samples can be accompanied by measures of the uncertainty associated with the estimate.

Thus, the parliament at Ottawa alone can pass laws relating to, amongst other things, the postal service, the census, the military, criminal law, navigation and shipping, fishing, currency, banking, weights and measures, bankruptcy, copyrights, patents, First Nations, and naturalization.

Thus, no cardinal can be ω < sub > 1 </ sub >- Erdős in L. While L does contain the initial ordinals of those large cardinals ( when they exist in a supermodel of L ), and they are still initial ordinals in L, it excludes the auxiliary structures ( e. g. measures ) which endow those cardinals with their large cardinal properties.

Thus, in the finale of Beethoven's Ninth Symphony, the pianissimo march ( Alla turca only in its instruments but the same instruments appear in the last measures of the symphony as simply tone colors ) serves as a period of lowered intensity between two more massive and emotionally charged sections.

Thus, it has also supported other measures which " empower parents ," localising decision making.

Thus a disc rotating at 60 revolutions per minute ( rpm ) is said to be rotating at either 2π rad / s or 1 Hz, where the former measures the angular velocity and latter reflects the number of complete revolutions per second.

Thus, a few measures later in the same Billings work, the following passage in the alto part:

) Thus, other measures such as A. B.