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词汇 example_english_geometry
释义

Examples of geometry


These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
The unsteady expansion of an ideal gas into a vacuum is studied in one-dimensional planar and spherical geometries.
Following this metaphor, the ' geometries ' for future and past tense are analogous to those for inherent front and back.
Table 3 lists approximate expressions for the double-layer interaction between similarly charged surfaces of different geometries.
A program for simulation of nerve equations with branching geometries.
We have per formed various simulations in one, two, and three dimensions assuming plane, cylindrical, and spherical cluster geometries.
Why is blob formation seemingly universal (occurs for different underlying instabilities and in different geometries)?
At this point the percentage difference between the resulting displacement of the original samples and the predicted geometries had dropped to 1.51%.
However, extensions to consider the bifurcation properties, the dynamical switching, and more complex geometries remain relatively open questions.
A detailed solution will be obtained for a sphere and a method of solution for other geometries will be indicated.
By virtue of its simplicity, our method is easy to extend to other geometries.
R'elationships between spreading distance and time for each phase are obtained for all three phases for both two-dimensional and axisymmetric geometries.
A popular field of study was the flow (either adiabatic or with heat transfer) in unusual geometries.
Furthermore, the simplicity of this model allows simple extensions to more complicated geometries like skewed marine propellers or windmills.
The quantitative discrepancy can be partly attributed to the difference in geometries.
The internal inclusion trail geometries preserved within a first phase of porphyroblast growth.
Early oil and gas discoveries were relatively 'easy' and made on the basis of prominent structural geometries.
The work concerns the preliminary design of gas turbine engine cooling hole geometries.
Different geometries with a special solvent trap were used to avoid water evaporation.
When plate-type geometries are used for testing, some degree of compression is inevitable.
We study the influence of non-spherical geometries and more realistic height profiles of the electrical conductivity on the frequency spectrum.
Section 5 shows that the procedure correctly sets currents on feed electrodes, even with complex reentrant geometries.
The two geometries thus give distinctive sequence signatures.
Figures 4 and 5 clearly demonstrate the limitations of orthogonal geometries.
Furthermore, we restrict our selves to cylindrically symmetric geometries.
The possibility of coherent soliton-like structure formation in both slab and toroidal geometries is demonstrated by numerical simulation.
The approach is restricted to moving points and does not address more complex time-varying geometries such as moving regions.
Clearly, when we try an integration of space and time, we are dealing with geometries changing over time.
In general, geometries cannot only change in discrete steps, but can also change continuously, and in the latter case we are talking about moving objects.
We calculate rotationally-averaged infrared light curves for planets with different obliquities, orbital eccentricities, and viewing geometries using an analytic energy-balance model.
Since the argument concerns the emerging use of these ' geometries ', the data from the youngest children are the most relevant.
We give introductions on the general features of such problems involving geometries and on the general framework of the level set method.
In such a case one needs multiple level set functions to represent the geometries.
Flows transporting material between nearby moving surfaces are ubiquitous in machinery of all scales and with a variety of geometries.
Different channels have different geometries which can be quite complicated.
Intervals dominated by grainstone facies have sheet-like geometries because they accumulated during times of decreasing accommodation.
Therefore, it is suitable to compare the swiftness of different architectures or of different geometries of the same architecture.
The workspace has a set of obstacles with different geometries and the robot is identified by the circle-triangle coupled landmarks.
Three optimal geometries have resulted from the preceding discussion, each satisfying different design criteria including kinematic conditioning, dynamic conditioning and a combination of the two.
The radially symmetric self-similar expansion of a dusty plasma is investigated in cylindrical and spherical geometries.
The par t geometries also influence the equipment and tooling costs.
Although catalytic monoliths may involve a great variety of prismatic geometries, we will only study structures whose cells have square, triangular or hexagonal cross-sections.
In all cases we restrict consideration to one-dimensional geometries for convenience and brevity.
Furthermore, nowadays, it is also possible to artificially build plastic nano-channels of roughly similar geometries and similar (although distinct) function [25, 26].
Modelling and analysing other geometries will be significantly more difficult.
All these methods rely on model simplifications according to the common resonator geometries [13, 23].
Thirdly, flat geometries are more compatible for positioning in standard biofilm culturing apparatus such as flow cells and chemostat type reactors.
However, triangular meshes are more flexible in modelling complicated geometries and much easier to generalize to three dimensions.
The final phase seen in both geometries is marked by a slowing down of the roll propagation velocity throughout the cell.
The point-matching technique of 5.1 may be extended to other cylinder geometries by modifying the series in equation (50).
Theorem 4.1 permits the following generalization to arbitrary geometries.
Here we will investigate patterns grown in well-known confined geometries.
Annular shear cells and inclined chute flows are the two flow geometries most suitable for comparison with theoretical predictions.
Other geometries are possible if lateral transport of the granitic magma occurs.
Fault geometries in basement-induced wrench faulting under different initial stress states.
We will model this problem for three geometries.
Rather than derive in detail the solutions for the various geometries, we will merely state what the solutions are, considering the geometries in succession.
We finally mention that the present results are limited to nonrelativistic laser intensities and plane geometries.
The treatment of complex molecular systems of arbitrary geometries with classical continuum electrostatic methods follows essentially the same principles.
The analysis of the helicoidal magnetic geometries will be presented elsewhere.
Here we describe geometries and facies in terms of lateral facies differentiation and vertical facies differentiation for proximal/shallow versus distal clinoforms.
Interbedded with the channel-fill sandstone bodies lie sandstone and mudrock beds that have flat, nonerosive bases and sheet-like geometries.
Figures 1a and 1b illustrate the two target geometries.
Therefore, it is suitable to compare the non-linearity term of different architectures or of different geometries of the same architecture.
Therefore, they are suitable to compare the dynamic isotropy of different architectures or of different geometries of the same architecture.
Figure 2 shows the basic principle of seam detection with various seam geometries.
A more natural method of keeping device sizes reasonable is to penalize large geometries by including dynamic criteria in the objective function.
Therefore, the relationship between various geometries can be traced back to the relationship between their groups of transformations.
Thus, all six possible geometries have been observed.
The challenge now is to obtain adequate knowledge of the dynamic coupling of these mechanisms in simulated yet realistic geometries to represent them.
However, the effective geometries originating from linear analysis and our approach should not generally coincide.
Extensions of the model for more complicated flows, including spherical or cylindrical geometries, ablation, density gradients, and heat conduction have been suggested.
The skeletal tier of many geometries, equivalent to consonants and vowels in other classifications, is clearly a suitable segmental level of organization.
They include ultra short and high contrast laser pulses, potential of different target systems and interaction geometries.
Possible geometries of the aggregates include : micelles, cubic or hexagonal symmetric sponges such as super-aggregates or extended flat lamellar structures.
A second unanticipated feature is the observation that water molecules participate directly in certain base-pairing geometries.
There seemed to be as many types of space as there were different geometries.
Figure 9 (solid lines) shows the modelled contact geometries of the grapple fixture and the end effector.
Feature geometries also represent markedness conventions by means of parentheses.
Properly choosing beamline geometries to collect the appropriate scattering information is important.
However, the number of trapped particles can be quite large, depending on injection and tokamak geometries.
We are interested in the spectrum of these two-dimensional geometries with concave field lines.
The mobile robot is treated as a circle or sphere to simplify the problem; however other geometries can be used to represent the mobile robot.
We consider the implications of this behaviour for the existence and uniqueness of solutions of the inverse problem for some frame geometries.
The four-level hierarchy model is proposed and constructed in terms of function-behaviors, structures, geometries, and features.
The research problem then became to project conventional geometries into this fluid, sculpted form.
Dowling geometries can be described via bias matroids.
At present there re two preferred approaches to this problem although other methods and, for particular geometries, exact solutions exist.
Different geometries result in different detailed flows in the entry length, but the entering fluid will often be irrotational.
The present use of the technique is the first application of the general method to mixed spherical and planar co-ordinate geometries.
However, typical geometries are truncated by subsequent generation of basement inherited faults.
The latter codes are, of course, slower but can cope with more complicated geometries.
In examining the available metrics, it appears unnecessary to define component geometries fully.
The geometries are different, but the averaged equations are nearly the same, differing only in the turbulence and viscous transport terms.
A more sophisticated argument might be that, although a number of geometries are consistent with physical space, only one can be accommodated to physical theory.
In side pumped laser head geometries good extraction of energy has to be weighed against diffraction effects of the amplified beam.
The observed similarity of edge turbulence in limited and diverted geometries motivates a search for universal mechanisms.
An informative comparison of orthogonal and non-orthogonal coordinate systems can be achieved by comparing the frequency of the quasi-toroidal eigenmode computed in the different geometries.
In the present paper, we study the expansion of a dusty plasma in cylindrical and spherical geometries, taking into account the charge-variation effects.
Among the three geometries tested, the squared blanket is the one offering the lowest level of reflections able to satisfy the spatial position resolution criterion.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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