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Reviewing the history of secularization in the West since the Renaissance, Bonhoeffer asked whether humanity's increasing ability to cope with its problems without the hypothesis of God might not indicate the obsolescence of the "religious premise" upon which Christianity had hitherto been based.
The evidence based on congruence can be explained away as a probable result even without the hypothesis.
Remark 1 If the coefficients { α i : i ∈ I } are nonnegative, then the conclusion in Lemma 2 also holds without the hypothesis (H).
Proposals have focussed on the idea that corroboration assessment asks whether apparent good evidence for an hypothesis is "improbable" without the hypothesis — it cannot easily be explained away by other explanations (possible explanations suggested by our "background knowledge").
Evidence for a species hypothesis will be some fit of observations to the hypothesis, and corroboration will depend on the improbability of such goodness-of-fit without the hypothesis (Faith and Trueman 2001; Faith, 2004).
The purpose of this section is to improve the result of Amini-Harandi et al. by using a new simple method of proof without the hypothesis of approximate compactness to B. The following lemma is important for our results, which is actually a generalized Banach's fixed point theorem.
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In conclusion, we have calibrated a genetic regulatory network for the production of Hunchback and KNI during the 14th cleavage stage of the embryo of Drosophila, without assuming the hypothesis of protein diffusion for KNI and zygotically produced HB, and we have presented evidence that gap gene protein segments are out of equilibrium patterns.
We have also showed that, without the semipermeability hypothesis, the jamming hypothesis alone is not sufficient for giving rise to the observed steady-state powerlaw distribution of the solutes into liposomes.
In cases without breast metastasis, the hypothesis is that the axillary lymph node metastasis occurs via cutaneous lymphatic channels in the abdominal wall, whose channels eventually proceed in the axillary lymph nodes [5].
Cultivars tightly joined together without noise, supporting the hypothesis of a single rather than multiple evolutionary origins in soybean domestication [ 36, 37].
The low Beclin 1 mRNA levels detected in our HCC tissues (compared with CH and CIRR without tumor) support the hypothesis that a downregulated autophagy can contribute to tumor progression.
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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