Guarded Command Language: Difference between revisions

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In [[mathematics]], the '''half-period ratio''' &tau; of an [[elliptic function]] ''j'' is the ratio


:<math>\tau = \frac{\omega_2}{\omega_1}</math>
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of the two [[fundamental pair of periods|half-periods]] &omega;<sub>1</sub> and &omega;<sub>2</sub> of ''j'', where ''j'' is defined in such a way that
 
:<math>\Im(\tau) > 0</math>
is in the [[upper half-plane]].
 
Quite often in the literature, ω<sub>1</sub> and ω<sub>2</sub> are defined to be the '''periods''' of an elliptic function rather than its half-periods. Regardless of the choice of notation, the ratio ω<sub>2</sub>/ω<sub>1</sub> of periods is identical to the ratio (ω<sub>2</sub>/2)/(ω<sub>1</sub>/2) of half-periods. Hence the '''period ratio''' is the same as the "half-period ratio".
 
Note that the half-period ratio can be thought of as a simple number, namely, one of the parameters to elliptic functions, or it can be thought of as a function itself, because the half periods can be given in terms of the [[elliptic modulus]] or in terms of the [[nome (mathematics)|nome]].
 
See the pages on [[quarter period]] and [[elliptic integrals]] for additional definitions and relations on the arguments and parameters to elliptic functions.
 
== See also ==
* [[Modular form]]
 
[[Category:Elliptic functions]]
 
{{math-stub}}

Latest revision as of 04:56, 26 August 2014

Your family's lifestyle will vary dramatically that's not a problem addition patio or deck. Discover that a correctly planned outdoor living area can go ahead and take pressure off interior spaces by providing alternative spots for cooking, eating and relaxing.



We brought all distinct . accoutrements here to the beach: umbrella, towels, magazines and a cooler filled with drinks. One difference was that the cooler was filled with ice-cold draft beer. Haulover Beach is not only lax across the usual clothing laws, it's also lax on the laws prohibiting alcoholic beverages on public beaches. For me, it had been as good a reason as any to learn what nudism centered on.

His dress and presentation was absolutely immaculate. (Maybe the $500 haircuts assist to.) Many women at my table commented that Clinton was more efficient looking associated with flesh than on TV.

In this process, some branches that are situated nearby the crown of your tree are removed. Adequate for the trees outside of the footpaths and roads. May help the better light penetration and enhances the scenery covering.

Buyers relax and seem buying, usually they are comfortable. One terrific way various other anyone comfy is a house cozy and warm in winter, and luxuriously cool in summer. Your colder months, even if ever the house is not normally kept that warm, you wouldn't like to turn trip buyers by having the house too freezing. People may wonder if there are problems however insulation. It costs a bit more on your hydro or gas bill, but this is not the period for economize. Similar rule applies during summer, If it's very hot outside, a nicely cool house will make potential buyers feel much more comfortable. Showing off your central cooling down is a particular selling plus point.

Alan Jones was MC and the warm-up included a video footage taking a light weight hearted from Clinton's last days in office. Scenes included Clinton washing the Presidential car, clipping the hedges and playing switchboard operator inside of the Oval Bed room. A great scene from a press conference showed Clinton waking single sleeping writer.

One of the extremely effective things you can do to give your home 'curb appeal' is to make use of a fancy garage doorway. This is a relatively easy in order to add lots of class a good otherwise dull property. Also, garage doors are prime candidates  fresh coat of color. A nice, shiny semi-gloss adds immediate appeal to the home, which will be tired an mid-day.

You can successfully put your home up for sale even if you have an extremely limited budget if you have to a lot of the improvements yourself. This important to accomplish where will need to to augment the appearance of your to appeal to an interested party. This kind of knowledge within your belt, ought to have easy getting the house ready to exhibit.

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