Thus, ayahuasqueros and most others working with the brew maintain that the B. caapi vine is the defining ingredient, and that this beverage is not ayahuasca unless B. caapi is in the brew.

Thus, null sets may be interpreted as negligible sets, defining a notion of almost everywhere.

Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.

Thus, when defining electrochemical potential, there is a logical need to specify where the electron comes from ( so that the work – in particular the electrical work – needed to transfer it can be calculated correctly ).

Thus, the Indian Government's implicit defining of its Sikh citizens as being part of the Hindu community created discontent among Sikhs.

" Thus, in describing or defining a work of art as conceptual it is important not to confuse what is referred to as " conceptual " with an artist's " intention.

Thus, in mathematical physics, the structure coefficients are often written c < sub > i, j </ sub >< sup > k </ sup >, and their defining rule is written using the Einstein notation as

Thus, the sustainable management requires finding out what business activities fit into the Earth ’ s carrying capacity, and also defining the optimal levels of those activities.

Thus, unlike copy editing, proofreading's defining procedure is to work directly with two sets of information at the same time.

Thus, V ( S ) is " the same as " the maximal ideals containing S. Grothendieck's innovation in defining Spec was to replace maximal ideals with all prime ideals ; in this formulation it is natural to simply generalize this observation to the definition of a closed set in the spectrum of a ring.

Thus, if a Gaussian process is assumed to have mean zero, defining the covariance function completely defines the process ' behaviour.

Thus one can think of the individual data points as the nodes of a graph and the kernel k defining some sort of affinity on that graph.

Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.

Thus, several approaches to defining these equations exist, with some the result of curve-fitting experimental data and others based on a particular rheological model.

" Thus SA distinguishes itself from other S groups by defining sexual sobriety as no sex with self or with partners other than with one's spouse and a progressive victory over lust.

Thus, the cup product operation passes to cohomology, defining a bilinear operation

Thus an eclectic cultural elasticity has been said to be one of the key defining characteristics of the Persian spirit and a clue to its historic longevity.

Thus Rabbinic Judaism claims that almost all directives, both positive and negative, in the Torah are non-specific in nature and would therefore require the existence of either an Oral Law tradition to explain them, or some other method of defining their detail.

Thus, according to Diener, the reduction of self-awareness is the " defining feature of deindividuation ".

Thus, Dryden subverts the theme of the defining characteristic by giving Shadwell a negative characteristic as his only virtue.

" Thus the 9th circuit held that native Hawaiians were entitled to " special treatment " much like the special treatment accorded Native American Indians in Morton v. Mancari, where " preferential treatment that is grounded in the government's unique obligation toward Indians is a political rather than a racial classification, even though racial criteria may be used in defining eligibility.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Thus, over the past 1, 500 years, some Christians have used the term Arian to refer to those groups that see themselves as worshiping Jesus Christ or respecting his teachings, but do not hold to the Nicene creed.

Thus far, the origins of the word remain inconclusive, as the term is not used outside Mexican-American communities, further indicating that the term is primarily self-identifying.

Thus use of the term " period " is somewhat deceptive.

Thus, in the sentence " There exists a man ", the term " man " is asserted to be part of existence.

Thus, in Alaska, Eskimo is in common usage, and is the preferred term when speaking collectively of all Inupiat and Yupik people, or of all Inuit and Yupik people throughout the world.

Thus in each term ( endothermic & exothermic ) the prefix refers to where heat goes as the reaction occurs.

Thus, the term " maternal surname " means the patrilineal surname which one's mother inherited from either or both of her parents.

Thus Mussolini claimed that Italy under Fascist rule was not capitalist in the contemporary use of the term, which referred to supercapitalism.

The media, in an attempt to explain the ideology of Ayatollah Khomeini and the Iranian Revolution to a Western audience described it as a " fundamentalist version of Islam " by way of analogy to the Christian fundamentalist movement in the U. S. Thus was born the term " Islamic fundamentalist ", which would come to be one of the most common usages of the term in the following years.

Thus, on 2 December 1851, shortly before the end of his single three-year term in office was to expire, Louis Bonaparte staged a coup against the Second Republic in France, disbanded the elected Constituent Assembly, arrested some of the Republican leaders and declared himself Emperor Napoleon III of France.

The book takes the term from Friedrich Nietzsche's Thus Spoke Zarathustra, where it is used in the context of the often nauseating quality of existence.

Thus the often-used term body needs to stand for a wide assortment of objects, including particles, projectiles, spacecraft, stars, parts of machinery, parts of solids, parts of fluids ( gases and liquids ), etc.

Thus, for example, the term " glucose " may signify glucofuranose, glucopyranose, the open-chain form, or a mixture of the three.

Thus, the term is more one of common application to macroscopic fungal fruiting bodies than one having precise taxonomic meaning.

Thus, in 1938, Somoza Garcia named a Constituent Assembly that gave the president extensive power and elected him for another eight-year term.

Thus, Wicca in particular is sometimes referred to by its proponents as " The Old Religion ", a term popularised by Margaret Murray in the 1920s, while Germanic neopaganism is referred to in some of its varieties as Forn Sed (" Old Custom ").

Thus the term nucleon number may be used in place of the more common terms mass number or atomic mass number.

Thus each polynomial is actually equal to the sum of the terms used in its formal expression, if such a term a < sub > i </ sub > X < sup > i </ sup > is interpreted as a polynomial that has zero coefficients at all powers of X other than X < sup > i </ sup >.

Thus, the terminology has poor standardization and specificity, particularly as a database search term.

Thus, the 1960 SI definition abandoned any explicit relationship between the scientific second and the length of a day, as most people understand the term.

Thus, Septimius Severus spent the remainder of his second term as quaestor on the island.

Thus, although the term is sometimes viewed as a synonym or euphemism for prostitute, it is more general.