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"How much boundlessly stupid naivety is there in the scholar's belief in his superiority, in the simple, unsuspecting certainty with which his instincts treat the religious man as inferior and a lower type which he himself has evolved above and beyond", he wrote.
Those of the graver sort, who might previously have been inclined to celebrate the actions of the great in epic poetry, turned to tragedy; poets of a lower type, who had set forth the doings of the ignoble in invectives, turned to comedy.
In particular, the DISEASE category has a much lower type frequency than its Chinese language counterpart.
Obviously, (ddot{varphi} (x,t)) is uniformly lower type (p^_{varphi}/q).
Furthermore, the COCA method has lower type II errors and it is easy to be understood and implemented.
Suppose there are objective facts about "high" and "low": Goethe really is a higher type, and the herd animal really is a lower type.
Let φ be a Musielak-Orlicz function with uniformly lower type (p^_{varphi}) and uniformly upper type (p^_{varphi}), where (0< p^_{varphi}le p^_{varphi}
Observe that (i varphi )) may be not attainable, namely, φ may be not of uniformly lower type (i varphi )); see, for example, [28] for some examples.
Remark 4.4 We know that if Φ is lower type p 0 and upper type p 1 with 1 < p 0 ≤ p 1 < ∞, then Φ ∈ Δ 2 ∩ ∇ 2. Conversely if Φ ∈ Δ 2 ∩ ∇ 2, then Φ is lower type p 0 and upper type p 1 with 1 < p 0 ≤ p 1 < ∞ (see [20]).
In general, it seems that conceding the objectivity of "high" and "low" permits one to make objective non-prudential value judgments like: the good of the higher type is superior to the good of the lower type.
He would have been better off because he would have been a higher type, instead of a lower type — and it is an objective fact that the high are really high, and the low are really low.
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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