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Thus and principles
Thus we were spared the affliction of his absence and the triumph of suffering for his principles.
Thus, freethinkers strive to build their opinions on the basis of facts, scientific inquiry, and logical principles, independent of any logical fallacies or intellectually limiting effects of authority, confirmation bias, cognitive bias, conventional wisdom, popular culture, prejudice, sectarianism, tradition, urban legend, and all other dogmas.
Thus the principles of AA have been used to form many numbers of other fellowships for those recovering from various pathologies, each of which in turn emphasizes recovery from the specific malady which brought the sufferer into the fellowship.
Thus, whilst modern economists rightly consider manufacturing to be productive and wealth-creating, the underlying principles laid down by the Physiocrats remain valid.
Thus a Protestant believer can claim that " the law is holy, and the commandment holy, and just, and good ," ( Romans 7: 12 ) harmonizing the two principles of the same Bible.
Thus the system evolved from six principles in 1912 rose to eight in 1915, to, virtually, nineteen in 1923, and then descended to nine in 1925, with the added advantage that these nine can be merged into three, and these three into one law.
Thus Avataravada is one of the core principles of Hinduism along with Ekeshwaravada ( One Supreme Divine Reality ), Veda Praman ( Authority of the Vedas ), Atman, Karma, Murti Pooja, Ahimsa, and Punarjanma ( Reincarnation ).
Thus a satisfactory answer to Hilbert's problem must be carried out using principles that would be acceptable to someone who does not already believe PA is consistent.
Thus, conscience was considered an act or judgment of practical reason that began with synderesis, the structured development of our innate remnant awareness of absolute good ( which he categorised as involving the five primary precepts proposed in his theory of Natural Law ) into an acquired habit of applying moral principles.
Thus, for example, the word " kartṛi ", meaning " agent " or " doer ", does not contain, contrary to intuitive English prosodic principles, simply two syllabic units, but contains rather, in order, a " deergh " / " guru "/ " heavy " foot and a " laghu " / " light " foot.
Thus, early knowledge of lenses and the availability of lenses for spectacles from the 13th century onwards through the 16th century means that it was possible for many individuals to discover the principles of a telescope using a combination of concave or concave and convex lenses ; in the 13th century, Robert Grosseteste wrote several scientific treatises between 1230 and 1235, including De Iride ( Concerning the Rainbow ), in which he said:
Thus, the document is unusual in that it not only prescribes legal rights, but it also describes moral principles upon which a government should be run.
Thus, freethinkers strive to build their opinions on the basis of facts, scientific inquiry, and logical principles, independent of any logical fallacies or the intellectually limiting effects of authority, confirmation bias, cognitive bias, conventional wisdom, popular culture, prejudice, sectarianism, tradition, urban legend, and all other dogmas.
Thus, these principles should form the basis of real, modern societies since everyone should consent to them if society were organized from scratch in fair agreements.
Thus, his ... Serenade ... is founded upon neoclassical Stravinskian principles, his three Amateur Piano Sonatas on Haydnesque principles, and his recent long Symphony Classical Orchestra is modeled after Beethoven.
Thus Afghan music features a mix of Persian melodies, Arab scales, Indian compositional principles as well as sounds from ethnic groups such as the Pashtuns or Tajiks and the instruments used range from Indian tablas to long-necked lutes.
Thus editor Horace Greeley in 1838 started a magazine, The Jeffersonian, that he said " would exhibit a practical regard for that cardinal principle of Jeffersonian Democracy, and the People are the sole and safe depository of all power, principles and opinions which are to direct the Government.
Thus, such commitments as authenticity, optimism, holism, health, and trust become important principles to consider when engaged in the activity of teaching and learning-especially Gestalt therapy theory and practice.
Thus, to break the confusion, in June 2004 the Debian project decided to explicitly apply the same principles to software documentation, multimedia data and other content.
Thus, one of the most important principles for designing or obtaining potential new ligands is to predict the binding affinity of a certain ligand to its target and use it as a criterion for selection.
Thus was proclaimed the open breach of the United Kingdom with the principles and policy of the Quintuple Alliance, as it had become with the admission of France in 1818, which development is what gives to the congress its main historical interest.
Thus, ODR is a different medium to resolve disputes, from beginning to end, respecting due process principles.
Thus, the way to proceed from here is very carefully, and to re-derive the results from first principles, rather than to introduce an intuitively sensible generalisation.

Thus and operation
Thus, the statement that f is an idempotent unary operation on S is equivalent to the statement that f is an idempotent element with respect to the function composition operation ∘ on functions from S to S.
Thus ended the coordinated operation against the Germanic peoples.
Thus optical amplification, and laser operation, can take place at a frequency of ν < sub > 32 </ sub > ( E < sub > 3 </ sub >- E < sub > 2 </ sub > = hν < sub > 32 </ sub >).
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, a 0-ary operation ( or nullary operation ) can be represented simply as an element of A, or a constant, often denoted by a letter like a.
Thus the operation of the oracle is simply written as:
Thus, in the mid 18th century Rancho de las Cabras, " the goat ranch ," was established near Floresville as a mission ranching operation for Mission Espada.
Thus, tuning was a relatively slow operation, and composers had to allow a reasonable amount of time for players to change notes if they were called to tune in the middle of a work.
Thus, the most valuable information is gathered by running the engine at high speed and full load, immediately cutting the ignition off and stopping without idling or low speed operation and removing the plugs for reading.
Thus, the mining operation essentially consists of vacuuming it off the surface with a vehicle called a Harvester until a worm comes, at which time an aircraft known as a Carryall lifts the mining vehicle to safety.
Thus, x86 instructions that operate on the memory ( e. g., add this register to this location in the memory ) can only be processed by the general decoder, as this operation requires at a minimum of three micro-ops.
Thus, without specific additional operation, the police officer querying the database of the wanted persons ( FPR ) or the database of the stolen vehicles ( FVV ) will obtain a response at the level of the Schengen States at the same time as the response at the national level.
Thus, any operation feasible on the supertype will be supported by the subtype.
Thus, for an outlay of capital of $ 30, the capitalist obtains a surplus value of $ 10 ; his capital has not only been replaced by the operation, but also has increased by $ 10.
Thus, there are many types of bearings, with varying shape, material, lubrication, principle of operation, and so on.
Thus, with a locking mechanism, needed operation blocking is controlled by a proper lock blocking scheme, which indicates which lock type blocks which lock type.
Thus the partial fraction decomposition may be seen as the inverse procedure of the more elementary operation of addition of algebraic fractions, that produces a single rational function with a numerator and denominator usually of high degree.
Thus, the operation of Finale bears at least some surface similarities to Adobe Photoshop.
Thus a subgroup of a group is a subset on which the binary product and the unary operation of inversion satisfy the closure axiom.
Thus an operation was needed to clear the approaches and thereby ease the supply problem.
Thus, whereas an IDF special forces operation needs to assemble elements from different specialist units, in Yamam, they are all permanently part of the same unit, living, training and operating together.
Thus, the Constitution concentrated on the operation of the government system as a whole.
Thus, the write-up operation permitted in the usual ★- Property is not present, only a write-to-same operation.

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