Larger self

Figure 8.2 Logarithmic spiral with superimposed mean planetary orbits. The circles in blue define the orbits of inner planets on a larger (self-similarj scale. The divergence angle of 108° causes those planets at angles of 5 x 108° apart to lie on opposite sides of the spiral origin. These pairs are Neptune-Mars, Uranus-Earth, Saturn-Venus and Jupiter-Mercury. The hypothetical antipode of the asteroid belt, a second, unobserved group of unagglomerated fragments, has been swallowed up by the sun...

Much larger self-diffusivities of water in synthetic faujasites, approaching the value measured for liquid water, were reported by Parra-vano et al. (52), based on spin-echo NMR measurements. However, it seems not quite clear how the self-diffusivities obtained by this method in a heterogeneous system—consisting of many small crystals in contact with a gas phase—are defined. 

One way of describing Joe s problem is that his inner life was dominated by his smaller self, the individual ego within each of us whose only job is to guarantee our survival. In Buddhist psychology, we all have both a smaller and a larger self. The smaller self is the part of ourselves that has a history, a story that we hold on to at all costs. My father left me when I was five, or I was sexually abused in my teens, or I have always had trouble getting into good relationships. It s not so much that this story isn t true or even that it isn t important—but when we are in our small selves, we tend to think that this story is all there is. 

As these lines from a Rumi poem suggest, we are more than just a walking bag of insecurities, small selves, problems, symptoms, or illness. Much more. But how do we coax ourselves into the larger self, where all that invisible joy resides ... 

Figure 5.9 Planetary orbits defined as products of N-numbers and the mean. Jovian orbit. Orbits of the inner planets are shown on a larger, self-similar, scale...

Abstract This chapter discusses descriptions of core-ionized and core-excited states by density functional theory (DFT) and by time-dependent density functional theory (TDDFT). The core orbitals are analyzed by evaluating core-excitation energies computed by DFT and TDDFT their orbital energies are found to contain significantly larger self-interaction errors in comparison with those of valence orbitals. The analysis justifies the inclusion of Hartree-Fock exchange (HFx), capable of reducing self-interactions, and motivates construction of hybrid functional with appropriate HFx portions for core and valence orbitals. The determination of the HFx portions based on a first-principle approach is also explored and numerically assessed. 

Within the philosophy of nanocasting, it is straightforward to expect that the size of the template will directly influence the size of the pores. As larger amphiphilic molecules will lead to larger self-assembled structures (lyotropic phases with respectively larger periodicities), a correlation should be shown as well. 

Vdll you all stop arguing You are all just different manifestations of who you really are. 1 can make you all coalesce into your larger self. 

From Dimeric to the Larger Self-Assembled Hexameric Capsules... 

Fig. 12 Simulation of planetary orbits by golden-spiral optimization. With the mean orbital radius of Jupiter as unit, the outer planets are on orbits defined by integral multiples thereof. On the same scale, the asteroid belt is at a distance x from the sun and the inner planets have orbital radii of t/ . For clarity, the inner planets are shown on a larger self-similar scale...

In one of the earhest ex situ SAXS studies on formation of titania from Ti(IV) precursors, it was demonstrated that titania oligomers were built of primary particles aggregated into larger self-similar, mass fractal structures of Df 1.6 [48]. The fractal dimension is essentially an adjustable parameter [85] by varying the acid/alkoxide ratio, stable sols (Df= 1.5-2), transparent (D =2) and turbid gels (Df = 2.9), and precipitates (Df= 3) can be obtained. 

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