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Therefore, for the Buddhist idealist, the object that appears in perceptual cognition need not be an external physical object, but a form that arises within consciousness itself.
We have used here the Fourier integral for a radial function g in the form that arises from polar integration g ^ = ∫ g ( x ) e - 2 π i ξ · x d x = ∫ 0 ∞ g ( t ) t d - 1 σ ^ ( | ξ | t ) d t, with the obvious identification g ( | x | ) = g ( x ) for a radial function g.
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Malformations are abnormalities of the human form that arise during embryogenesis (the first eight weeks of development).
What is not in doubt is that it is an Afro-Brazilian art form that arose among the slaves brought to Brazil from Angola, Congo, the Gulf of Guinea and the Gold Coast some time after the 16th century.
A final question concerns the form proper to artistic and literary history, which, in the form that arose in the romantic period, and still prevails to-day, expounds the history of works of art as a function of the concepts and social needs of its various periods, regarding them as aesthetic expressions of these things and connecting them closely with civil history.
When the performance is over, Youd will frame the two sheets of paper side by side as a diptych – a form that arose in the Middle Ages, before the modern era, as the visual equivalent of a book.
Over 100 visiting international artists and 250 London artists will perform in 20 sites across the city, giving voice to the creative forms that arise when cultures or faiths collide.
All religious experience can be described in terms of three basic elements: first, the personal concerns, attitudes, feelings, and ideas of the individual who has the experience; second, the religious object disclosed in the experience or the reality to which it is said to refer; third, the social forms that arise from the fact that the experience in question can be shared.
These are the matrices implicitly defined by quadratic forms that arise naturally in modelling intrinsically stationary and isotropic spatial processes.
The functional forms that arise from our systematic reduction can be used for every system that involves transcription and translation and they could replace the commonly used heuristic time-delay models for these processes.
My organization, Institute For Figuring, has been extending the techniques developed by Dr Taimina she really sticks with the perfectly geometric forms, whereas we've been branching out to explore the more organic forms that arise when you relax from that perfection.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com