The reader of Parmenides should put himself in the place of the Clazomenian philosophers who have come to Athens to hear the great argument of Socrates with Zeno and Parmenides as recorded in the memory of Antiphon. From it they would learn what Anaxagoras had not made clear, how the nous, alone unmixed, could relate to the atoms in each of which were all difference, the endless process of sepa...

To assist with the development of intelligent mixing systems, it would be useful to be able to extract the loudness balance of sources in an existing musical mixture. The relative-to-mix loudness level of four instrument groups was predicted using the sources extracted by 12 audio source separation algorithms. The predictions were compared with the ground truth loudness data of the original unm...

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types; the resulting measurements thus give only averages over the different cell types present. Based on fluctuations in the mixture proportions from sample to sample it is in principle possible to reconstr...

In order to explore functional properties of the olfactory and common chemical senses as well as their relation to the total nasal sensation experienced, various concentrations of two pungent odorants were presented alone and in the presence of different backgrounds of the other irritant. Stimuli comprised formaldehyde (at 1.0, 3.5, 6.9, and 16.7 ppm), ammonia (at 210, 776, 1,172, and 1,716 ppm...

Among the existing global challenges, water system management is becoming more and more important as the consumption patterns are continually growing. The implication of water system regulation in irrigated agriculture and production of sustainable energy is self-evident nowadays. In the present paper, new perspectives are given on the control of water flowing in an open channel. Mathematically...

A necessary and sufficient condition on the support of a generic unmixed bivariate polynomial system is identified such that for polynomial systems with such support, the Dixon resultant formulation produces their resultants. It is shown that Sylvester-type matrices can also be obtained for such polynomial systems. These results are shown to be a generalization of related results recently repor...

in this paper we prove that each element of any regular baer ring is a sum of two units if no factor ring of r is isomorphic to z_2 and we characterize regular baer rings with unit sum numbers $omega$ and $infty$. then as an application, we discuss the unit sum number of some classes of group rings.

let $f: arightarrow b$ be a ring homomorphism and let $j$ be an ideal of $b$. in this paper, we investigate the transfer of the property of coherence to the amalgamation $abowtie^{f}j$. we provide necessary and sufficient conditions for $abowtie^{f}j$ to be a coherent ring.

There is an algorithm which computes the minimal number of generators of the ideal of a reduced curve C in affine n-space over an algebraically closed field K, provided C is not a local complete intersection. The existence of such an algorithm follows from the fact that given d ∈ N, there exists d ∈ N, such that if a is a height n−1 radical ideal inK[X1, . . . ,Xn], generated by polynomials of ...

Mouse spleen cells which have been depleted of adherent cells do not respond to allogeneic lymphocytes in vitro. Their cytotoxic response can be restored by inclusion of mercaptoethanol in the medium. Mercaptoethanol is shown to have a stimulatory effect also on the response of normal (unseparated) spleen cells to alloantigens. The enhancement of the DNA-synthetic and cytotoxic response is simi...