Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus ideas like `` grace '', `` salvation '', and `` providence '' cluster together in traditional Christianity.

Thus, various ideas have been associated with it ; Asher Peres remarked that very different, sometimes opposite, views are presented as " the Copenhagen interpretation " by different authors.

Thus he divides perceptions between strong and lively " impressions " or direct sensations and fainter " ideas ", which are copied from impressions.

Thus, in Bakunin ’ s words: “ All that individuals can do is to clarify, propagate, and work out ideas corresponding to the popular instinct ”.

Thus architects, archaeologists and design historians sometimes use the word to describe the accumulated iterations of a design or a site, whether in literal layers of archaeological remains, or by the figurative accumulation and reinforcement of design ideas over time.

Thus, his importance as a ' translator ' of their ideas to the common vocabularies of a variety of disciplines in the Anglo-American academic complex is equally as important as his own critical engagement with them.

Thus punctuated equilibrium contradicts some of Darwin's ideas regarding the specific mechanisms of evolution, but generally accords with Darwin's theory of evolution by natural selection.

Thus they developed a scheme of categories different from Aristotle's based on the ideas of Anaxagoras and Timaeus.

Thus there are things which may act as signs without any respect to the human agent ( the things of the external world, all sorts of indications, evidences, symptoms, and physical signals ), there are signs which are always signs ( the entities of the mind as ideas and images, thoughts and feelings, constructs and intentions ); and there are signs that have to get their signification ( as linguistic entities and cultural symbols ).

Thus modern political theorists typically legitimize the state with two major ideas: redistribution and the provision of public goods.

Thus, Charles S. Maier suggests that a political economy approach: " interrogates economic doctrines to disclose their sociological and political premises .... in sum, regards economic ideas and behavior not as frameworks for analysis, but as beliefs and actions that must themselves be explained.

Thus Ra-Horus-Aten was a development of old ideas which came gradually.

Thus another distinguishing feature of honing theory is that the creative process reflects the natural tendency of a worldview to attempt to resolve dissonance and seek internal consistency amongst its components, whether they be ideas, attitudes, or bits of knowledge ; it mends itself as does a body when it has been injured.

Thus the Presbyterians of the north, who were mainly republican in sentiment, combined with a section of the Roman Catholics to form the United Irishmen organisation, promoting revolutionary ideas imported from France ; and a party prepared to welcome a French invasion soon came into existence.

Thus the idea of a centaur is a complex mental picture composed of the ideas of man and horse, that of a mermaid of a woman and a fish.

Thus, patents have a direct relationship to ideas.

Thus, copyrights have a negative relationship to ideas.

Thus nature is completely dependent on God, which meshes with other Asharite Islamic ideas on causation, or the lack thereof.

Thus, living a life of peaceful conscience means to Spinoza that reason is used to generate adequate ideas where the mind increasingly sees the world and its conflicts, our desires and passions sub specie aeternitatis, that is without reference to time.

Thus, in stating his theory of the moral sense, Hutcheson is peculiarly careful to repudiate the doctrine of innate ideas ( see, for instance, Inquiry concerning Moral Good and Evil, sect.

Thus, in a dialogue, each person does not attempt to make common certain ideas or items of information that are already known to him.

" Thus someone who is not liberated should not cling to any object of the six sense spheres, including nirvana if it has been tasted but not fully realized, as a permanent self, and for a liberated individual who has gone beyond experiencing nirvana as an object, ideas of self and non-self do not apply.

Thus what one sees today is the result of a ' need ' driven learning to improve where each step has built on previous ideas and not something based upon a theoretical framework.

Thus, giving grades and promotions based only on an individual's performance relative to a small local group, as is common, may reduce cooperative behaviors in the group.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

Thus, at pH between 2. 2 and 9. 4, the predominant form adopted by α-amino acids contains a negative carboxylate and a positive α-ammonium group, as shown in structure ( 2 ) on the right, so has net zero charge.

Thus this class of molecules belong to the D < sub > 2d </ sub > point group.

Thus the discovery report by the Berkeley group reads: " It is suggested that element 97 be given the name berkelium ( symbol Bk ) after the city of Berkeley in a manner similar to that used in naming its chemical homologue terbium ( atomic number 65 ) whose name was derived from the town of Ytterby, Sweden, where the rare earth minerals were first found.

Thus, the molecular formula of ethanol may be written in a paper in conformational, three-dimensional, full two-dimensional ( indicating every bond with no three-dimensional directions ), compressed two-dimensional ( CH < sub > 3 </ sub >– CH < sub > 2 </ sub >– OH ), separating the functional group from another part of the molecule ( C < sub > 2 </ sub > H < sub > 5 </ sub > OH ), or by its atomic constituents ( C < sub > 2 </ sub > H < sub > 6 </ sub > O ), according to what is discussed.

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus, it has been argued that a voucher system would lead students who do not belong to a preferred religious or ethnic group, or those with disabilities, to become concentrated within the public school system.

Thus one has the fundamental groupoid instead of the fundamental group, and this construction is functorial.

Thus the DTFT of the s sequence is also the Fourier transform of the modulated Dirac comb function .< ref group =" note "> We may also note that:

Thus the group of left and right handed 4x4 quaternion matrcies is Sp ( 8 ) xSU ( 2 ) which does include the standard model bosons:

Thus a resin can be tailored to a particular toxic group.

Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.

Thus, for example, two objects may be group isomorphic without being ring isomorphic, since the latter isomorphism selects the additional structure of the multiplicative operator.

Thus, although the composition of the group is slightly different in each instance, the large majority of men present are always close neighbors.

But this group found it increasingly difficult to prove that they were not labourers because the 1882 act defined excludables as ‘ skilled and unskilled labourers and Chinese employed in mining .’ Thus very few Chinese could enter the country under the 1882 law.

Thus Euclidean geometry corresponds to the choice of the group E ( 3 ) of distance-preserving transformations of the Euclidean space R < sup > 3 </ sup >, conformal geometry corresponds to enlarging the group to the conformal group, whereas in projective geometry one is interested in the properties invariant under the projective group.