Exact(1)
The utility function is assumed to be twice differentiable, i.e., U i > 0 and U ii < 0, where i represents the arguments of the utility function.
Similar(59)
Once the relevant propositions and required outcomes were set, a BN was created using the basic connective structures and building methods previously discussed in the literature (Fenton et al. 2013b; Taroni et al. 2004), where the presented propositions represent the arguments raised by the defence and prosecution in the original case.
Depending on the scope of the literature reviewed, it may also fail adequately to represent the arguments and views advanced by industry, regulators, research participants and other stakeholders.
Third, as we're representing the argument here it is purely negative.
Second, it is useful to represent the argument in this basic form to begin with as it enables us to highlight its two major movements; what Paul Snowdon calls the base case, and the spreading step (Snowdon 1992).
where D α c denotes the Caputo fractional derivative of order 0 < α ≤ 1 ; the vector function x ( t ) ∈ R n is a state vector; A, B, E ∈ R n × n are constant matrices; E ∈ R n × n is a singular matrix i.e. rank ( E ) = q < n ; the constant parameter τ > 0 represents the delay argument and φ ( t ) is a given sufficiently often differentiable function on [ − τ, 0 ].
In my opinion, the widespread implementation of these successful methods currently represents the best argument in defense of mammography that can be advanced by the radiology community.
The evidence that inhibiting T cell ERK path-way signaling using a mouse model results in decreased DNMT1 expression, overexpression of methylation sensitive genes similar to lupus patients, the development of anti-double stranded DNA antibody, and an interferon signature-like gene expression profile represents the strongest argument for a causal role of DNA methylation in lupus to date [ 32].
The argument will make two uses of Lemma 4.7 or 4.9, and Figure 7b accurately represents the situation by arguments like those in Lemma 4.4.
A third possibility is that it is D4 that perspicuously represents the number of argument places of the desert-relation (namely, six).
Trace represents the trace of the argument, Q specifies quantization and ∥.∥ denotes the norm operation.
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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