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The "solution" to this tension is found in Wittgenstein's final remarks, where he uses the metaphor of the ladder to express the function of the Tractatus.
Take the adverbs 還 hai 'again, still', 再 zai 'again, more', and 又 you 'again, also' as examples, all of them can express the function of Repetition,1 in which cases all of them can be rendered into English again.
We express the function (y(cdot ):(-infty,T]rightarrowmathbb{X}) by y(t)= textstylebegin{cases} varsigma(t), & tle0, mathbb{T}_{alpha}(t)varsigma(0), & tinmathscr{I}, end{cases} then (y_{0}=varsigma).
Although it is difficult to express the function in a closed form without integration, it is a one-dimensional integral with finite limits, and its integrand only composes of elementary (exponential and trigonometric) functions, while the function actually is a two-dimensional integral of exponential function with infinite limits according to (A.2) in Appendix.
For example, you can express the function of Supplement to show a parallel different action that has been added to a preceding one: 她吃完蘋果又吃了一個梨 ta chi wan pingguo you chi le yi ge li 'she ate an apple and then ate a pear as well'.
Logic minimization is the application of algebraic axioms to a binary function in order to reduce the number of digital variables and/or rules needed to express the function; the technique is also known as logic simplification or reduction.
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A new wavelet-based method for solving population balance equations with simultaneous nucleation, growth and agglomeration is proposed, which uses wavelets to express the functions.
The shape expresses the function: the round lens and oval viewfinder intersect, visually suggesting their similar functions; double bubbles recur in the shutter pull ring of the Popshot.
The resulting eigenfunction expansion expresses the function K as a series of the form K x,y) = \sum_n \lambda_n\varphi_n(x)\varphi_n y)\, where the functions φn are orthogonal in the sense that ⟨φn,φm⟩ = 0 for all.
Two bio-objects are connected by a "verb" which expresses the function of a bio-object, for example "Sugar A links to Sugar B" in Figure 1a.
How the family members in this study managed is summarized by the theme Striving to be prepared for the painful, which expresses the function of the seven underlying sub-themes or strategies.
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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