Heteropoly and isopoly oxometalatesby M. T. Pope

Electrode surface modified with heteropoly or isopoly anions: STM and AFM characterization

It has been shown on two examples that STM and AFM techniques can be used to image oxometalates with molecular resolution. The shapes of these molecules are clearly distinguished and their dimensions have been determined. It has even been possible to correlate other results culled from the AFM image of the surface of a single crystal of an oxometalate with those of crystallography. These result...

Isotropic Subbundles of T M ⊕ T * M

We define integrable, big-isotropic structures on a manifold M as subbundles E ⊆ T M ⊕ T * M that are isotropic with respect to the natural, neutral metric g of T M ⊕ T * M , closed by Courant brackets and such that, if E ′ is the g-orthogonal bundle, the Courant brackets [X , Y], X ∈ ΓE, Y ∈ ΓE ′ , belong to ΓE ′. We give the interpretation of such a structure by objects of M , we discuss the ...

Papal Responses to the Holocaust: Contrast between Pope Pius XII and Pope John Paul II

Pope Gregory, the Calendar, and Continued Fractions

The success of many activities of modern civilization crucially depends on careful planning. Some activities should be carried out during a certain period of the year. For example: When is the right time of the year to sow, when is the right time to plow? It is thus no surprise that calendars are found in literally every ancient civilization. The earth revolves around the sun in about 365.2422 ...

What Islam needs is a pope.

The age-old ploy of justifying the commission of atrocities by one group by citing examples of atrocities committed by another must be condemned. Evil deeds remain evil deeds, and evil and evil deeds beget evil deeds. Our only hope is to stop focusing on the bad and start focusing on the good. For conflicting ideologies to learn tolerance for each other, common moral ground must be found. What ...