Enumeration of strong dichotomy patterns

We apply the version of P\'{o}lya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of $\mathbb{Z}_{2k}$ with respect to the action of \Aff(\mathbb{Z}_{2k}) and with trivial isotropy group. As a byproduct, a conjectural instance of phenomenon similar to cyclic sieving for special cases of these combinatorial objects is proposed.Comment: Some errors and unclear sentences had been correcte

Antichains and counterpoint dichotomies

We construct a special type of antichain (i. e., a family of subsets of a set, such that no subset is contained in another) using group-theoretical considerations, and obtain an upper bound on the cardinality of such an antichain. We apply the result to bound the number of strong counterpoint dichotomies up to affine isomorphisms

A Projection-Oriented Mathematical Model for Second-Species Counterpoint

Drawing inspiration from both the classical Guerino Mazzola's symmetry-based model for first-species counterpoint (one note against one note) and Johann Joseph Fux's "Gradus ad Parnassum", we propose an extension for second-species (two notes against one note)

THE LONG MEMORY STORY OF REAL INTEREST RATES. CAN IT BE SUPPORTED?

This papers finds evidence of fractional integration for a number of monthly ex post real interest rate series using the GPH semiparametric estimator on data from fourteen European countries and the US. However, we pose empirical questions on certain time series requirements that emerge from fractional integration and we find that they do not hold pointing to ¿spurious¿ long memory and casting doubts with respect to the theoretical origins of long memory in our sample. Common stochastic trends expressed as the sum of stationary past errors do not seem appropriate as an explanation of real interest rate covariation. From an economic perspective, our results suggest that most European countries show higher speed of real interest rate equalization with Germany rather than the US.Real interest rate; long memory, fractional integration

PREDICTING REAL GROWTH AND THE PROBABILITY OF RECESSION IN THE EURO AREA USING THE YIELD SPREAD

Although the spread has been established as a leading indicator of economic activity, recent studies on US and EU countries have documented, theoretically and empirically, that the term spread-output growth relationship may not be stable over time and it may be subjected to nonlinearities. Using aggregate data for the Euro area over the period 1970:1 - 2000:4, we applied linear regression as well as nonlinear models to examine the predictive accuracy of the term spread-output growth relationship. Our results confirm the ability of the yield curve as a leading indicator. Moreover, significant nonlinearity with respect to time and past annual growth is detected outperforming the linear model in out-of-sample forecasts of one-year-ahead annual growth. Furthermore probit models that use the EMU and US yield spreads are successful in predicting EMU recessions.Term Spread and Real Growth; Threshold Models; Recession; Forecasting Accuracy

Superacid Chemistry on Mildly Acidic Water

The mechanism of proton transfer across water−hydrophobic media boundaries is investigated in experiments in which the protonation of gaseous n-hexanoic acid (PCOOH) upon collision with liquid water microjets is monitored by online electrospray mass spectrometry as a function of pH. Although PCOOH(aq) is a very weak base (pK_(BH+) < −3), PCOOH(g) is converted to PC(OH)_2^+ on pH < 4 water via a process that ostensibly retains some of the exoergicity of its gas-phase counterpart, PCOOH + H_3O^+ = PC(OH)_2^+ + H_2O, ΔG < −22 kcal mol^(−1). The large kinetic isotope effects observed on H_2O/D_2O microjets, PC(OH)_2^+/PC(OH)OD^+ = 88 and PC(OH)OD^+/PC(OD)_2^+ = 156 at pD = 2, and their inverse dependences on pH indicate that PCOOH(g) hydronation on water (1) involves tunneling, (2) is faster than H-isotope exchange, and (3) is progressively confined to the outermost layers as water becomes more acidic. Proton transfers across steep water density gradients appear to be promoted by both dynamic and thermodynamic factors

Elementos para una ordenación fenomenológica de las experiencias aflictivas

My paper focuses on Buytendijk’s ordering of experiences of affliction, which is conceived from the point of view of physical pain. This classification of suffering into four different kinds allows a critical distance from Scheler’s reductive view of physical pain as an affective state, almost amorphous, which only reaches the ego in a mediated form