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The proof of the main principle depends on the Second Analogy of Experience (which asserts that all changes occur in accordance with the law of cause and effect and thus entails that every change in matter has a cause) as well as on the further assumption that matter has no internal grounds of determinations (such as thinking and desiring), but rather only external relations in space.
Under the further assumption that ε comes from a normal distribution, the maximum-likelihood solution for b and r is equivalent to finding the minimum of the Euclidean norm for the deviation of the observed edge lengths from the expected lengths: (1) where the summation for i is done over the ST edges and the summation for k is done over all GTs.
Make the yet further assumption that because of the misstatement, the market believed that Exxon was using the proxies in its investment decisions when it was not.
A further assumption, that high speed rail is green, is open to question when the carbon costs of construction and very high operating speeds are taken into account.
This is generally followed by a further assumption that if pupils learnt more they would be better able to gain qualifications and employment, which may lead to reductions in teenage pregnancies and crime.
Most theories of synesthesia assume that inter-modal sensation reflects some sort of "crossing of the wires", and the further assumption that the neural organization that gives rise to synesthesia is in some sense innate -- synesthetes' brains are just wired that way.
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The further assumptions that lead from epistemological to ontological idealism can be a simple desire to avoid the possibility of doubt or ignorance by collapsing the distinction between knowledge and what is known, as when Berkeley claims that only his immaterialism can defend common sense, but can take other forms as well.
Although under NIRT the assumption regarding a sigmoid-like functional form is relaxed for the IRF, there are still further assumptions that must be met in order to permit and specify Mokken modeling.
That a person has incomplete knowledge about a certain topic does not imply without further assumptions that there is some specific fact she does not have knowledge of.
This assumption is the main limitation in our model and led to the further assumptions that AIV circulation did not previously occur in halt meshes, or that infected birds became immunized and cannot be re-infected during their movements.
There are two further assumptions that we make in our analysis, that are worthy a brief discussion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com