Help


[permalink] [id link]
+
Page "Lie group" ¶ 115
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

simplest and way
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
The simplest way to gain information about brain anatomy is by visual inspection, but many more sophisticated techniques have been developed.
It is provided in the simplest possible way of such generic data, and comprises the back-bone of the database.
From these considerations of Scripture comes the simplest way to imitate Christ: an emulation of the moral actions and attitudes that Jesus demonstrated in His earthly ministry becomes the most significant way to feel and have knowledge of God.
The simplest way to decrease the effects of work hardening is to decrease the pressure in the case.
Since most wiki systems use URLs for individual pages where the page's title appears at the end of an otherwise unchanging address, the simplest way of defining such mappings is by substituting the interwiki prefix for the unchanging part of the URL.
Even the simplest designs avoid the vicious circle of rocket launches from the surface, the difficulty that: the fuel needed to travel the last 10 % of the distance to orbit must be lifted all the way from the surface ; that requires extra fuel ; most of the extra fuel must be lifted most of the way before it is burned ; that requires more extra fuel ; and so on.
For emergency signals, Morse code can be sent by way of improvised sources that can be easily " keyed " on and off, making it one of the simplest and most versatile methods of telecommunication.
Description of physical attributes is the simplest way to identify, classify, and categorize minerals, and they include:
In its simplest ( and most naïve ) form, this way of analyzing word forms treats words as if they were made of morphemes put after each other like beads on a string, is called Item-and-Arrangement.
Thus there is no way of discerning which, if any, ethical properties exist ; by Occam's Razor, the simplest assumption is that none do.
Now is the cardinality of the set of countable ordinals, and this is merely a special and the simplest way of generating a higher cardinal.
The simplest way these are arranged is in photosynthetic bacteria, where these proteins are held within the plasma membrane.
The simplest query is just to return all the rows from a table, but more often, the rows are filtered in some way to return just the answer wanted.
As the ABM systems were expensive, it appeared the simplest way to defeat them was to simply make more ICBMs and deliberately start an arms race the defender could not win.
Since it is absurd to have no logical method by which to settle on one hypothesis amongst an infinite number of equally data-compliant hypotheses, we should choose the simplest theory: " either science is irrational the way it judges theories and predictions probable or the principle of simplicity is a fundamental synthetic a priori truth " ( Swinburne 1997 ).
: The simplest way to impose the principle of self-consistency in quantum mechanics ( in a classical space-time ) is by a sum-over-histories formulation in which one includes all those, and only those, histories that are self-consistent.
This difference is because kokuji were coined for express Japanese words, so borrowing existing ( Chinese ) readings could not express these – combining existing characters to logically express the meaning was the simplest way to achieve this.
The simplest way to test the weak equivalence principle is to drop two objects of different masses or compositions in a vacuum, and see if they hit the ground at the same time.
The simplest way to define the width of a beam is to choose two diametrically opposite points at which the irradiance is a specified fraction of the beam's peak irradiance, and take the distance between them as a measure of the beam's width.
The simplest way to control the harmonic current is to use a filter: it is possible to design a filter that passes current only at line frequency ( 50 or 60 Hz ).
The simplest way to think of flux is " how much air goes through the net ", where the air is a ( velocity ) field and the net is the boundray of an imaginary surface.

simplest and define
To define probability distributions for the simplest cases, one needs to distinguish between discrete and continuous random variables.
There are several ways to define the result of a rule, but one of the most common and simplest is the " max-min " inference method, in which the output membership function is given the truth value generated by the premise.
Real intervals play an important role in the theory of integration, because they are the simplest sets whose " size " or " measure " or " length " is easy to define.
Most applicable to teaching, e. g. the Longmans defining dictionary of the simplest meanings of 2, 000 English words is used to define the 4, 000 most basic English idioms -- this is a core glossary of the English language, which permits access to the core ontology ( the idioms ).
Depending on how to define ' ethnic group ', in its simplest form, it means that members identify themselves as belonging to the same general category, which again can be subdivided depending on various classification systems.
Its simplest combinatorial version is due to Zuk: let be a discrete group generated by a finite subset S, closed under taking inverses and not containing the identity, and define a finite graph with vertices S and an edge between g and h whenever g < sup >− 1 </ sup > h lies in S. If this graph is connected and the smallest non-zero eigenvalue of its Laplacian is greater than ½, then has property ( T ).
Three vertices, connected to each other by three edges, define a triangle, which is the simplest polygon in Euclidean space.

simplest and infinite
The simplest infinite family are the pyramids of n sides and of canonical form.
In the simplest version of the Bohr model, the mass of the atomic nucleus is considered to be infinite compared to the mass of the electron, so that the center of mass of the system lies at the barycenter of the nucleus.
The simplest definition of an infinite matroid is to require finite rank ; that is, the rank of E is finite.
The next simplest infinite generalization is finitary matroids.
The simplest questions implicitly or explicitly request information from a range ( finite or infinite ) of alternatives.
The simplest example is the infinite jungle gym, which has topological dimension 2 and isoperimetric dimension 3.
The simplest example is the theory of an equivalence relation with exactly two equivalence classes both of which are infinite.
A resistor-inductor circuit ( RL circuit ), or RL filter or RL network, is one of the simplest analogue infinite impulse response electronic filters.
The simplest conceptual configuration finds two infinite, parallel plates separated by a distance h. One plate, say the top one, translates with a constant velocity u < sub > 0 </ sub > in its own plane.
* The simplest infinite example of a nuclear space is the space of all rapidly decreasing sequences c =( c < sub > 1 </ sub >, c < sub > 2 </ sub >,...).

simplest and dimensional
The simplest approach to survey is to carry out three dimensional surveying by divers using depth gauges and tape measurements.

simplest and Lie
They form ( in some sense ) the simplest class of Lie invariant surfaces after the spheres, and are therefore particularly significant in Lie sphere geometry.

1.069 seconds.