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Note that the computations of the corresponding Jacobians become intractable without knowledge of the analytically closed expressions (31) and (49) for the corresponding pdf(s).
This holds potentially great advantages in treating more general, nonpremixed, reacting flows which may be computationally intractable without resorting to quasi-steady modeling.
The optimization in (3) is generally intractable without a specified candidate space of g.
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The pathogenesis of interstitial fibrosis in diabetic nephropathy (DN) is an intractable problem without good therapy.
The two major causes of surgery were uncontrolled IOP in cases that developed NVG (11.7%) and intractable IOP without iris NV (8.3%).
We describe an infant presenting with severe intractable epilepsy (without a specific EIEE electroclinical syndrome diagnosis) and neurodevelopmental delay associated with compound heterozygous mutations in PLCB1.
These included 2007 ICD diagnostic codes for classical migraine without intractable migraine (346.00), common migraine without intractable migraine (346.10), variants of migraine without intractable migraine (346.20), other forms of migraine without intractable migraine (346.80) and migraine unspecified without intractable migraine (346.90).
An intractable IOP increase without INV was treated with trabeculectomy with or without an antimetabolite agent if useful vision was still present.
For these reasons, residual right bisectionectomy was eventually planned to treat the intractable bile leakage without fail based on preserved liver function tests (Child-Pugh A, indocyanine green retention at 15 min: 12%) although the ratio of estimated hepatic resection volume was 60.1% by hepatic volumetric analysis (Fig. 4a).
The pathogenesis of intractable increased IOP without iris neovascularisation after CRVO is not clear.
Here I discuss how anti-aging interventions could solve otherwise intractable political problems without tax increases or curtailment of health care benefits.
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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