Below are three approaches to understanding the concavity of the surface of rotating water in a bucket.

When the magma approaches the surface of the Earth, the rapid off-loading of overlying material causes the trapped gases to decompress rapidly, thus triggering explosive destruction of the magma and spreading volcanic ash over wide areas.

As the number of degrees of freedom becomes arbitrarily large, a system approaches continuity ; examples include a string or the surface of a body of water.

Various approaches to general definition of surface area were developed in the late nineteenth and the early twentieth century by Henri Lebesgue and Hermann Minkowski.

The non-gravitational effects can be crucial ; as Halley approaches the Sun, it expels jets of sublimating gas from its surface, which knock it very slightly off its orbital path.

As this atom approaches the surface of a metal and forms adsorption, this potential energy V < sub > a </ sub > will be modified due to the image charges by additional potential terms which are quadratic in the displacements:

The most fundamental data analysis approaches are visualization ( histograms, scatter plots, surface plots, tree maps, parallel coordinate plots, etc.

Surface feeding itself can be broken up into two different approaches, surface feeding while flying ( for example as practiced by gadfly petrels, frigatebirds and storm petrels ), and surface feeding whilst swimming ( examples of which are practiced by fulmars, gulls, many of the shearwaters and gadfly petrels ).

Some approaches, like Delaunay triangulation, alpha shapes, and ball pivoting, build a network of triangles over the existing vertices of the point cloud, while other approaches convert the point cloud into a volumetric distance field and reconstruct the implicit surface so defined through a marching cubes algorithm.

The recent restoration treatment of the painting was accompanied by a large and fully illustrated book which goes very deep under the surface of the image and lays out the various approaches and results of the most recent research, giving a thorough picture of Jordaens, his works and his time.

It usually strikes upon arriving near the surface as the pressure approaches normal atmospheric pressure.

Latent hypoxia is a special condition leading to unconsciousness where the partial pressure of oxygen in the lungs under pressure at the bottom of a deep free-dive is adequate to support consciousness but drops below the blackout threshold as the water pressure decreases on the ascent, usually close to the surface as the pressure approaches normal atmospheric pressure.

It is also closer in principle to the more sophisticated approaches used when dealing with real bulk crystalline solids, where the first step is either to integrate contributions to the ECD over constant energy surfaces in a wave-vector space ( k-space ), or to integrate contributions over the relevant surface Brillouin zone.

This chattering behavior is evident in Figure 1, which chatters along the surface as the system asymptotically approaches the origin, which is an asymptotically stable equilibrium of the system when confined to the sliding surface.

The general theoretical description of a Langmuir probe measurement requires the simultaneous solution of the Poisson equation, the collision-free Boltzmann equation, and the continuity equation with regard to the boundary condition at the probe surface and requiring that, at large distances from the probe, the solution approaches that expected in an undisturbed plasma.

( 2006 )) showed powerboat approaches within 100m altered the dolphin surface behaviour from traveling to milling, and changed their direction to travel away from the powerboat.

As the comet approaches the sun and becomes more active, the spacecraft will be able to record surface changes.

When the acoustic wave approaches the surface at an angle, the area is taken as the area times the projection of the wave direction upon the normal of the surface.

Once under the Arctic ice pack, it approaches the calculated position for Zebra, then searches for a place to surface.

These include decomposition methods, approximation methods, evolutionary algorithms, memetic algorithms, response surface methodology, reliability-based optimization, and multiobjective optimization approaches.

As winter approaches, the temperature of the surface water will drop as nighttime cooling dominates heat transfer.

** Comet Ikeya-Seki approaches perihelion, passing 450, 000 kilometers from the sun.

* As winter solstice approaches, the angle at which the sun rises and sets progressively moves further toward the South and the daylight hours will become shorter

As the comet approaches the sun, the spacecraft will land and hop multiple times.

An indirect homage is paid to Hal's defeat of the Sun-Eater in the recent Green Lantern film, with Hal luring Parallax — here a completely independent entity created when a Guardian was exposed to the yellow fear energy — into the sun's gravitational pull, allowing Parallax to be incinerated while Hal's smaller size allowed him to escape ; when confronting Parallax as it approaches the sun, Hal assumes a pose similar to the stance he used when absorbing the Sun-Eater.

After defeating the boss, Rick inexplicably approaches a large, empty room ; the hymnal, sun animation, and suspenseful note are left intact but Jenifer's scream is removed for an unknown reason.

The next day Achilles approaches the gates of Troy alone and shouts for Hector to come out and face him.

* The Pattern Method: Let the pattern of mortality continue until the rate approaches or hits 1. 000 and set that as the ultimate age.

All of them were there in this loosely knit association of diversified ideologies, and each berated the other and beat his breast for his own approaches.

The scope of topics covered by the journal is vast and experimental — there is a search for total history and new approaches.

However, these approaches are often a matter of national pride and there are opinions amongst jurists about the merits of the differing approaches and their drawbacks as well.

Despite the ubiquity of computer music in contemporary culture, there is considerable activity in the field of computer music, as researchers continue to pursue new and interesting computer-based synthesis, composition, and performance approaches.

In science there are at this time a number of approaches to characterizing complexity, many of which are reflected in this article.

These approaches are not mutually exclusive, and there are other approaches.

In general there are two major approaches to the design outline shape of the double bass, these being the violin form ( shown in the labelled picture to the right ), and the viol da gamba form ( shown in the header picture ).

When analyzing a stock, futures contract, or currency using fundamental analysis there are two basic approaches one can use ; bottom up analysis and top down analysis.

The research interests of historians change over time, and in recent decades there has been a shift away from traditional diplomatic, economic and political history toward newer approaches, especially social and cultural studies.

While there has been a flowering of new historical approaches and microscopic studies there has been much less attention to the pre-1960 staple of teaching, the development of one's own nation state and its values and practices.

Historically, there have been different regulatory approaches within each country in the EU.

In addition to the contingency-focused approaches mentioned, there has been a high degree of interest paid to three novel approaches that have recently emerged.

In severe cases and those involving multiple conditions in addition to the cause of the neuralgia, there is no substitute for comprehensive palliative therapy including systemic NSAIDs, opioids, muscle relaxants, intermittent corticosteroids and other agents if needed and adjuncts and potentiators to increase the power of the analgesics in addition to the topical preparation and physical and alternative modalities such as physiotherapy, acupuncture, biofeedback and related modalities, nutritional approaches and many others relevant to each case.

In the 18th century, there were two favoured approaches to the definition of the standard unit of length.

Though theories of quantum mechanics continue to evolve to this day, there is a basic framework for the mathematical formulation of quantum mechanics which underlies most approaches and can be traced back to the mathematical work of John von Neumann.

In practice, there are several approaches to alleviate noise in the output values such as early stopping to prevent overfitting as well as detecting and removing the noisy training examples prior to training the supervised learning algorithm.

Even within Hinduism, there are different approaches to reaching the Divine based on an individual ’ s own characteristics.

Besides stressing the Investigation's opposition to the Tractatus, there are critical approaches which have argued that there is much more continuity and similarity between the two works than supposed.

However, there are design approaches that can reduce the practical chance of this occurring.

Although there are several approaches to integrating other illumination effects such as specular and glossy reflections, radiosity-based methods are generally not used to solve the complete rendering equation.