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where ⊙ denotes the elementwise product of two matrices, s = 1 e j w … e j ( L - 1 ) w T. Note that in (11) the dependency on w has been removed to clarify notation.
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To clarify notations, 'MID_E1a' represents the first attempt of Examiner 1 to assess the samples with MID.
Check the track for any errors and use the notation software's editing tools to clean up timing, clarify notation markings and fix any errors you might have made while playing the synthesizer.
Therefore, we clarify notation by defining ζ k ≔ E[ W i W i + k ].
To clarify, scientific notation is often used: 13,000 may be represented by 1.3 E4 or 1.3*104.
Next we present two basic but illustrative computations which might help to clarify the notation used as well as the analogue of the fundamental theorem of calculus (16). 1.
To clarify the notations, scalars are denoted as italic letters (a, b, A, B, …), column vectors as lowercase boldface letters (a, b, …), and matrices as boldface capitals (A, B, …).
To clarify the notations, if T is associated in the usual way with a Calderón-Zygmund kernel K, then at a formal level T Σ b ( f → ) ( x ) = ∫ ( R n ) m ∑ j = 1 m ( b j ( x ) − b j ( y j ) ) K ( x, y 1, …, y m ) f 1 ( y 1 ) ⋯ f m ( y m ) d y 1 ⋯ d y m. and T Π b ( f → ) ( x ) = ∫ ( R n ) m ∏ j = 1 m ( b j ( x ) − b j ( y j ) ) K ( x, y 1, …, y m ) f 1 ( y 1 ) ⋯ f m ( y m ) d y 1 ⋯ d y m.
With the help of Professor Susan Rankin and the French performer Dominique Vellard, Francis tells the story of the Winchester Troper, a tiny book belonging to Corpus Christi College, Cambridge, and written in Winchester around the year 1030, and how scholars have used it to clarify the way musical notation developed in the 11th and 12th centuries.
Mathematical notation is used to clarify some arguments, but the main points can be grasped without the math.
To clarify the two, let us use the notation 'E o1)' for an experience that is the conscious experience of just the intentional object o1.
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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