local time

It is elucidated, herein, that the cosmos is, in essence, a gigantic computer with time as the central agent that spearheads the execution of its operating software. It is composed of a core that represents an omnipotent conscious energetic reactor that supports and keeps everything at bay by imposing the constraint that everything must inevitably gravitate towards it. And, it is this very mandate of gravitation to the central SOURCE that epitomizes the phenomenon of time. Time may be depicted as a tensorial quantity, a rotating vector that can stretch while freely flowing spinning about the central SOURCE, giving rise to a continuum that reflects the body of such a Prime Creator that may be referred to as the 'cosmos.' And, as the vector of time stretches within the cosmos while freely subtending revolution about the SOURCE, it progressively congeals to create the said space continuum. It may be regarded that the process of congealment as to create space completes when the vector of time subtends a full revolution about the SOURCE. This gives rise to a curvilinear (spheroidal) surface to depict the space and the radius of its curvature to epitomize the time aspect of creation. Such a continuum of time and space is referred to as a 'dimension.' And, this process of creation of dimensions continues until a nested edifice of spheroidal surfaces is created. It is clear that the process of creation of dimensional space-time occurs in a discrete manner involving the constraint or the requisite of completion

This study examines how social metacognition (including evaluations and questions) affected micro-creativity during group problem solving. Twenty groups of high school students were videotaped as they solved a mathematics problem. Analyses of the 2,951 conversation turns showed that the likelihood of a correct contribution (CC, a measure of micro-creativity) was higher after a group member expressed a wrong, new idea,

We extend the Skorohod integral, allowing integration with respect to Gaussian processes that can be more irregular than any fractional Brownian motion. This is done by restricting the class of test random variables used to define Skorohod integrability. A detailed analysis of the size of this class is given; it is proved to be non-empty even for Gaussian processes which are not continuous on any closed interval. Despite the extreme irregularity of these stochastic integrators, the Skorohod integral is shown to be uniquely defined, and to be useful: an Ito formula is established; it is employed to derive a Tanaka formula for a corresponding local time; linear additive and multiplicative stochastic differential equations are solved; an analysis of existence for the stochastic heat equation is given.

Samples of cuttings from twenty-one wells and a core from a single well in southern West Virginia were analyzed for major and minor elements: silicon, aluminum, iron, magnesium, calcium, sodium, titanium, phosphorus, manganese, sulfur, zinc, and strontium. Stratigraphic and geographic controls on elemental abundances were studied through canonical correlations, factor analyses, and trend surface analyses. The most abundant elements, silicon and aluminum, show gradual trends through the stratigraphic column of most wells, with silicon increasing and aluminum decreasing up-section. Other elements such as calcium, sulfur, and titanium change abruptly in abundance at certain stratigraphic boundaries. Important geographic trends run east-west: for instance, one can see an increase in sulfur and a decrease in titanium to the west; and a decrease in silicon from the east to the central part of the study area, then an increase further west. Although observed vertical trends in detrital mine...

A moment magnitude (Mw) 6.2 earthquake struck beneath the outer suburbs of Christchurch, New Zealand's second largest city, on 22 February 2011 local time. The Christchurch earthquake was the deadliest in New Zealand since the 1931 Mw 7.8 Hawkes Bay earthquake and the most expensive in New Zealand's recorded history. The effects of the earthquake on the region's population and

— Methods to detect and localize time singularities of polynomial and quasi-polynomial ordinary differential equations are systematically presented and developed. They are applied to examples taken form different fields of applications and they are also compared to better known methods such as those based on the existence of linear first integrals or Lyapunov functions. Keywords — blow up, finite escape time, polynomial ODE,

We extend the Skorohod integral with respect to Gaussian processes that can be more irregular than any fractional Brownian motion. This is done by restricting the class of test random variables that are used to define Skorohod integrability. A detailed analysis of the resulting size of the space of test random variables is given, and it is determined that this space is non-empty even for some Gaussian processes which are not continuous on any closed interval. Despite the extreme irregularity of these stochastic integrators, the Skorohod integral is shown to be useful: an Ito formula is established, it is used to derive a Tanaka formula for a corresponding local time, linear additive and multiplicative stochastic differential equations are solved, and an analysis of existence and regularity of the stochastic heat equation is given.

We discuss pedagogical problems associated with the conventional approach in teaching relativity and the potential value of "Lorentzian route to relativity" for addressing these pedagogical problems. We think that Lorentzian approach may be valuable part of an introduction to relativity but the historical route should be followed up to its end. It must namely include Einstein's application of Occam's razor in reinterpreting Lorentz transformations kinematically and the discussion of the central role of the evolution from Lorentz's "local time" to relativity of simultaneity. We discuss also what Occam's razor is not and why it should not cut "too deeply or too permanently". Some misleading remarks in relativity text books concerning for example Kennedy Thorndike experiment and Trouton-Noble experiment indicate the not uncommon lack of awareness about the degree observational equivalence between prerelativistic (Lorentzian) and relativisti...

Soufriere Hills Volcano, Montserrat, Lesser Antilles, has been undergoing a lava dome forming eruption since 1995. A major collapse of the dome occurred on 12-13 July 2003 and was accompanied by explosive activity. This was the largest dome-collapse to date at Soufriere Hills Volcano. The collapse was a prolonged event. Continuous pyroclastic flows began in the Tar River Valley on the eastern side of the volcano at 09:30 local time 12 July. From 10.45 onwards these reached the sea and at 18:30 the flows became larger and more energetic as the collapse progressively cut back into the hotter interior of the dome. The collapse reached its most energetic phase between 21.50 12 July and 0.50 13 July when a sequence of very large pyroclastic flows entered the sea and pyroclastic surges traveled up to 3 km across the surface of the sea. The climax of the collapse occurred at 23.35 when a very large pyroclastic flow impacted the sea and pyroclastic surges devastated 10 km22 on the NE flank ...