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IfXsatisfies this condition theC*-algebra OXdoes not depend on the choice of the generators when A is faithfully represented.
Often this replacement is so accurate that the internal structure as well as the external shape is faithfully represented; sometimes even the cell structure may be determined.
Simply fixing your problem by defining lowest value for nai, might be a good thing to do, but that requires that details of the dynamics of nai below a certain value are not relevant to your model and that the dynamics is faithfully represented otherwise and furthermore the fixing of the lowest level should not significantly influence the build up of relevant levels of nai.
Another major conclusion, that evolution of individual genes is faithfully represented by trees, whereas evolution of organisms (or, preferably, genomes) can only be rendered as a FOL, also seems to be an inevitable outcome of the presented logical analysis of the units and processes of molecular evolution.
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We demonstrate that bandlimited stimuli can be faithfully represented with spike trains generated by the ensemble of neurons.
The opera's great arias were faithfully represented, at least, and much more in the case of Almirena'a magnificently mournful "Lascia ch'io pi anga". The performance by Lois Marshall proved breath catching in its vocal warmth and emotional power.
Iran's interests are faithfully represented in parliament by the Sadrist followers of the hardline Shia leader Moqtada al-Sadr, and on the streets by his Mahdi army militia.
In the first modelling method, the fire exposed structural members, including the connections, were simulated using detailed solid elements to enable detailed behaviour of the structure to be faithfully represented.
While these releases are welcome, it is a shame they arrived only after legal appeals, and the public still has no way of knowing what the new school founders promised in their applications, whether the mandatory consultations with local people were faithfully represented, or why proposals were accepted or rejected – leaving some people questioning whether all applicants have been treated equally.
In photographs of the designer's sketches of the opera's dark world of destruction, rubble and threatening power as the mighty Hun and his troops advance on Rome indicate that the clash of pagan and civilized cultures will be faithfully represented, particularly the famous scene that depicts the founding of Venice on a pile of mud huts.
Other types of complex contagions too can be faithfully represented on networks [27].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com