We do a thorough mathematical study of the notion of full conglomerability, that is, conglomerability with respect to all the partitions of an infinite possibility space, in the sense considered by Peter Walley [1991]. We consider both the cases of precise and imprecise probability (sets of probabilities). We establish relations between conglomerability and countable additivity, continuity, sup...

The field additivity of the M-cone pathway was measured with psychometric functions at 10 times absolute threshold on monochromatic fields and their mixtures. Observers detected a 500 nm test on 530 or 610 nm fields, and a 530 nm test on 481 or 622 nm fields. For both sets of wavelengths, field additivity held with the 1 deg test, 10 deg field condition which defines II-4 and with the 3.6 min a...

In this article, we investigate the additivity phenomenon in the dynamic capacity of a quantum channel for trading classical communication, quantum communication and entanglement. Understanding such additivity property is important if we want to optimally use a quantum channel for general communication purpose. However, in a lot of cases, the channel one will be using only has an additive singl...

Heterochromatic brightness matches with checkerboard patterns made up of a white reference and a chromatic test element for various element sizes from 3' to 2 degrees 30' square and with a 5 degrees bipartite field were carried out with a color cathode-ray tube. The brightness-to-luminance (B/L) ratios of six chromatic stimuli were obtained, and the brightness additivity for the mixture of red ...

A novel additivity framework for mixture effect modelling in the context of whole cell inducible biosensors has been mathematically developed and implemented in R. The proposed method is a multivariate extension of the effective dose (EDp) concept. Specifically, the extension accounts for differential maximal effects among analytes and response inhibition beyond the maximum permissive concentra...

The notion of Kodaira dimension has been defined for complex manifolds in [16], for symplectic 4−manifolds in [23] (see also [35], [17]). It is shown in [5] (and [23]) that these two definitions are compatible in dimension 4. Furthermore, we calculate it for some (4-dimensional) Lefschetz fibrations when the base has positive genus. In [50], this notion is extended to 3−dimensional manifolds vi...

Forsberg, S. 2016. Complex Trait Genetics. Beyond Additivity. Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Medicine 1278. 45 pp. Uppsala: Acta Universitatis Upsaliensis. ISBN 978-91-554-9754-5. The link between the genotype and the phenotype of an organism is immensely complex. Despite this it can, to a great extent, be captured using models that assume that gene...

It has long been conjectured that the crossing numbers of links are additive under the connected sum of links. This is a difficult problem in knot theory and has been open for more than 100 years. In fact, we do not even know that Cr(K1#K2) = Cr(K1) or Cr(K1#K2) = Cr(K2) holds in general, here K1#K2 is the connected sum of K1 and K2 and Cr(K) stands for the crossing number of the link K. The be...

The verification of odor abatement technologies for livestock production based on chemical odorants requires a method conversion into an value that reflects the significance individual odorants. aim present study was to compare SOAV (Sum Odor Activity Values) with detection threshold measured by olfactometry and investigate assumption additivity. Synthetic pig house air at realistic concentrati...