Savage motivated his sure thing principle by arguing that, whenever an act would be preferred if an event obtains and preferred if that event did not obtain, it should be preferred overall. The ability to decompose and recompose decision problems in this way has normative appeal. It does not, however, require the full separability embodied in Savage's axiom. We formulate a weaker axiom that suf...

For a homogeneous polynomial with a non-zero discriminant, we interpret direct sum decomposability of the polynomial in terms of factorization properties of the Macaulay inverse system of its Milnor algebra. This leads to an if-and-only-if criterion for direct sum decomposability of such a polynomial, and to an algorithm for computing direct sum decompositions over any field, either of characte...

Kolmogoroff and Nagumo proved that the quasi-arithmetic means correspond exactly to the decomposable sequences of continuous, symmetric, strictly increasing in each variable and reflexive functions. We replace decomposability and symmetry in this characterization by a generalization of the decomposability. AMS (1991) subject classification: Primary 39B12, 39B22, Secondary 26B35.

High-latitude ecosystems store approximately 1700 Pg of soil carbon (C), which is twice as much C as is currently contained in the atmosphere. Permafrost thaw and subsequent microbial decomposition of permafrost organic matter could add large amounts of C to the atmosphere, thereby influencing the global C cycle. The rates at which C is being released from the permafrost zone at different soil ...

In part I of this paper we studied additive decomposability the set Fy y-smooth numbers and multiplicative shifted Gy=Fy+{1}. paper, focusing on case ’large’ functions y, continue study these problems. Further, also investigate a problem related to m-decomposability k-term sumsets, for arbitrary k.

New advances in large scale distributed systems have amazingly offered complex functionalities through parallelism of simple and rudimentary components. The key issue in cooperative control of multi-agent systems is the synthesis of local control and interaction rules among the agents such that the entire controlled system achieves a desired global behavior. For this purpose, three fundamental ...

Models of idiom comprehension differ in their predictions concerning compositionality: Some claim that idiomatic meaning is the result of compositional analysis initiated at the earliest stages of comprehension, whereas others claim that compositional analysis occurs only at late stages, subsequent to direct retrieval--especially for idioms that are highly familiar. We evaluated these alternati...