Thus the week cycle is by itself not a full calendar system ; neither is a system to name the days within a year without a system for identifying the years.

Thus, every non-Han dynasty saw itself as the legitimate holder of the " Mandate of Heaven ", which legitimized the dynastic cycle regardless of social or ethnic background as it was moral integrity and benevolent leadership that had been validating the " Mandate of Heaven.

Thus it is not easy to isolate the causes of specific phases of the cycle.

Thus DA means that a cocking action separate from the trigger pull is unnecessary ; and every trigger pull will result in a complete cycle.

Thus there are 3 cavities per housing, all repeating the same cycle.

Thus, any gait can completely be described in terms of the beginning and end of stance phase of three limbs relative to a cycle of a reference limb, usually the left hindlimb.

Thus the Báb taught that with his revelation the end times ended and the age of resurrection had started, and that the end-times were symbolic as the end of the past prophetic cycle.

Thus a cycle of expansion and compression ( swelling and shrinking ) is maintained.

Thus, the tropical year, measuring the cycle of seasons ( for example, the time from solstice to solstice, or equinox to equinox ), is about 20 minutes shorter than the sidereal year, which is measured by the Sun's apparent position relative to the stars.

Thus Mithraism is thought to have something to do with the changing ages within the precession cycle or Great Year ( Plato's term for one complete precession of the equinox ).

Thus he has been interpreted as being the ' complete one ' and also the finisher of the world, which he returns to watery chaos at the end of the creative cycle.

Thus, for example, a government budget that is balanced over the course of the business cycle is considered to represent a neutral fiscal policy stance.

In one direction, the Hamiltonian path problem for graph G is equivalent to the Hamiltonian cycle problem in a graph H obtained from G by adding a new vertex and connecting it to all vertices of G. Thus, finding a Hamiltonian path cannot be significantly slower ( in the worst case, as a function of the number of vertices ) than finding a Hamiltonian cycle.

Thus RNA editing by the cellular enzymes is critical to the virus ’ life cycle because it regulates the balance between viral replication and virion assembly.

Thus, each vertex i in the digraph has a unique " successor " in the cycle cover, and is a permutation on where n is the number of vertices in the digraph.

Thus the permanent of a 01-matrix is equal to the number of vertex cycle covers of an unweighted directed graph.

A punitive force sent by the Bulgarians was defeated. Thus we see a continuous cycle of dynastic strife amongst Vlastimir ’ s successors, stirred on by the Byzantine and Bulgarians, who were effectively using the Serbs as pawns.

Thus the root of mathematics and scientific pursuits in Pythagoreanism is also based on a spiritual desire to free oneself from the cycle of birth and death.

Thus the duration of the clock cycle of a moving clock is found to be increased: it is measured to be " running slow ".

Thus begins a vicious cycle which lasts many years.

Thus, by that definition, killing any animal would be a sin: one would be obstructing the natural cycle of birth and death of that creature, and the creature would have to be reborn in that same form because of its unnatural death.

Thus, placing sandtrout on a water-rich planet would allow them to start the complete spice cycle, at the cost of turning the planet into a desert, another Dune.

Thus every cycle c in X is the boundary of some " cone "; one may take the cone to be the image of c under the homotopy.

Thus Trevelyan repeats the story which pictured Victor Emmanuel as refusing to abandon the famous Statuto at the insistence of General Radetzky.

Thus the evolution of such a pattern repeats itself indefinitely.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus, central to Zoroastrianism is the emphasis on moral choice, to choose between the responsibility and duty for which one is in the mortal world, or to give up this duty and so facilitate the work of druj.

Thus in the physical world it is difficult to give examples of numbers that compare to the vastly greater googolplex.

Thus, while people have the right to private property, they should give it away as enlightened altruists.

Thus different sources give sometimes wildly different accounts of the number of languages within a family.

Thus, to propagate freedom means to present individuals with the truth and give them a choice to accept or deny it.

Thus to calculate the stoichiometry by mass, the number of molecules required for each reactant is expressed in moles and multiplied by the molar mass of each to give the mass of each reactant per mole of reaction.

Thus the variance is a measure of the amount of variation of the values of that variable, taking account of all possible values and their probabilities or weightings ( not just the extremes which give the range ).

Thus for a short time, hardware producers created proprietary implementations of local busses on their motherboards to give graphics cards direct access to the processor and system memory-and avoid the limitations of the ISA bus.

Thus, upon the conquest of Persia, Alexander the Great sent to Athens 300 suits of Persian armour with the following inscription Alexander, son of Philip, and all the Greeks except the Spartans, give these offerings taken from the foreigners who live in Asia added.

Thus, ( 1 – x ) would represent the operation of selecting all things in the world except horned things, that is, all not horned things, and ( 1 – x ) ( 1 – y ) would give all things neither horned nor sheep.

Thus zoologists will give the name of a particular sea snail species as " Patella vulgata Linnaeus, 1758 ".

Thus these laws are sometimes used to give exclusive rights to the creators of such " intellectual property " in order to encourage resources to be appropriately allocated to these activities.

Thus, ' Abd-al-Raḥmân recalled all his troops, which did give him an even larger army — but it also gave Charles time for more of his veteran infantry to arrive from outposts of the Kingdom.

Thus with the help of the judiciary committee led by Senator James Eastland, the bill ended up being far weaker than it originally started, but it still became law and Johnson tried to give himself credit for its passage.

Thus, all measured nakhlites give essentially identical CRE ages of approximately 11 Ma, which when combined with their possible identical formation ages indicates ejection of nakhlites into space from a single location on Mars by a single impact event.

Thus, to give an explanation of something is to determine what about it is good.

Thus, Docimus was not intending to give Babylon to Seleucus without a fight.

Thus, a characteristic feature of cargo cults is the belief that spiritual agents will, at some future time, give much valuable cargo and desirable manufactured products to the cult members.

Thus, Y. Arad writes, that he had to rely, in part, on Yizkor books, which were not guaranteed to give the exact estimates of the numbers of deportees.

Thus, Bhopal Memorial Hospital and Research Centre ( BMHRC ) was inaugurated in 1998 and was obliged to give free care for survivors for eight years.

Thus while a single example of Black Country dialect is hard to give, as different areas of the Black Country differ with colloquialisms, examples include " babby " for baby, " alf baerked " for stupid, " argy-bargy " for fight, and " bostin " to mean " very good ".

Thus, within the Latin-Rite Catholic Church, the term subdeacon now applies only to those ordained to that rank within one of these groups and to acolytes in countries where the Episcopal Conference has chosen to give them the name of subdeacon.

Thus he was forced to leave the court of the generous duke Bernhard of Carinthia ( 1202 – 1256 ); after an experience of the tumultuous household of the landgrave of Thuringia, he warns those who have weak ears to give it a wide berth.