(60621) 2000 FE8: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Carbon6
m Improvements
 
en>RP88
Update cat and sort
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
{{ProbabilityTopics}}
Hostgator is a huge privately had hosting business running from several state of the art centers in Dallas, Texas. Hostgator was established in 2002, ever since they have grown quickly and presently host over 400,000 internet sites. They are also widely considered to be the worlds leading supplier of reseller hosting accounts. At present they provide hosting to over 10,000 specific reseller account clients.<br><br>Hostgator provides numerous different hosting plans, and accommodate a broad variety of customers. From the first time webmaster who requires basic, tension complimentary hosting for their personal website; all the method through to big corporations, who require specialist dedicated hosting services.<br><br>Hostgator's hosting plans can be divided into 3 groups; standard shared hosting plans (suitable for the vast bulk individuals), reseller hosting plans (these are mainly for individuals and businesses that want to "resell" their account resources to customers of their own), and lastly committed server plans (these accounts provide consumer their own server, so they don't have to share its resources with anybody else). Very few of us will every need a specialized server so this evaluation will concentrate on the shared hosting plans that Hostgator offer.<br><br>Functions<br><br>Hostgator's 3 main shared hosting plans are named: "Hatchling" (the entry level plan priced at $6.95 / month), "Infant" (this is the most popular strategy, and it is likely to satisfy the requirements of a really wide array of clients), and "Swamp" (similar as the "Baby" plan, but with increases in bandwidth and disk area, priced at $14.95 / month).<br><br>For a complete list of attributes and a side by side contrast of all hosting strategies you must go to Hostgator's internet site here. Below is a testimonial of the most crucial functions of the "Infant" plan, this is most likely the most appropriate bundle for most individuals, and it is our preferred strategy.<br><br>Disk area 100GB - This quantity has been just recently updated by Hostgator from 5GB to an enormous 100GB. All individuals are likely to discover it impossible to tire this amount of disk space.<br><br>Bandwidth 1000GB/month - Likewise increased is the bandwidth allotment, from 75GB to an apparently extreme 1000GB. Once again rather much absolutely no chance of using all that, but it's good to know that you definitely will not be dealing with extra costs for going over your restriction, even if you have an extremely hectic site(s).<br><br>Site Studio website contractor - This is a fantastic cost-free program that enables you to develop your site from scratch. You have over 500 templates and color design to pick from. You require no HTML experience, or code writing knowledge. It provides the most basic possible means of developing an expert looking website in an extremely brief space of time. There is no need to take my word for it, as Hostgator provides us with a demo version of the software application on their site!<br><br>Unlimited add-on domains - This really is the stand out function of this hosting plan (the "Hatchling" strategy just permits 1 domain), and enables you to host as lots of sites as you like on a single account, at no additional cost. This allows you to make complete use of your enormous bandwidth and disk space allowances, and host numerous internet sites at a fraction of the normal cost.<br><br>99.9 % Uptime assurance - This essentially tells us that Hostgator is a major host providing a trustworthy service. If uptime drops below this figure in any given month then you do not pay for that months hosting, it's as simple as that! We would never consider utilizing a host that did not offer a strong uptime guarantee; this is simply since there is only one good reason a host will not provide an uptime assurance - unreliable uptime!<br><br>30 Day refund guarantee - This has become a rather basic feature in the web hosting community, though it's nice to have actually for added assurance.<br><br>Immediate setup - The majority of hosting service providers take 24-48 hours to setup your account but Hostgator guarantees to have you up and running in under 15 minutes (they do not charge a setup fee either)!<br><br>Limitless MySQL data sources - This is extremely helpful due to the fact that each Fantastico (see below) script needs its own MySQL data source.<br><br>Fantastico DeLuxe - This outstanding program enables you to instantly set up over 50 scripts through your control panel. Scripts consist of blog sites, online forums, galleries, shopping carts, and more.<br><br>Limitless email accounts - Allows you to have as many, or as couple of, different email addresses as you like.<br><br>It contains lots of functions and provides great performance. Best of all, there is a complete working demo on the Hostgator website, so you can test it out yourself!<br><br>Consumer service and technical support<br><br>Hostgator provides us 24/7 phone support, and live online talk. The reality that you are offered 2 choices to get instantaneous technical support at any time of the day is wonderful. Our experience has actually constantly been very great when speaking to Hostgator, their operatives are very respectful and most significantly they appear to understand their stuff when taking care of technical problems. Nonetheless, we always advise calling them yourself prior to signing up. Ask them a concern and see if you're thrilled by their [http://Photobucket.com/images/response response]. Here's more info about Hostgator Coupon Code ([http://support.borinquenhealth.org/entries/35868950-Save-With-Hostgator-Discount-Coupon support.borinquenhealth.org]) take a look at the web-page. This constantly informs you a lot about a company!<br><br>Efficiency<br><br>The efficiency from Hostgator's servers is excellent! Hostgator location much tighter restrictions on the variety of internet sites sharing the exact same server compared to most various other shared hosting service providers. This offers higher dependability due to the fact that less pressure is placed on the servers; and it likewise considerably improves the rate at which your internet pages run.<br><br>Server performance is an additional among the essential areas where Hostgator differentiate themselves from the group of various other webhosting.<br><br>Our judgment<br><br>Generally there is so much to such as about the method Hostgator does company, they truly do seem to have a good grasp on what the average customer requires from a web hosting service provider. Rarely do you come across reports of unhappy Hostgator customers, and after hosting with them ourselves we now know why! At just $9.95 / month for the "Child" plan (which includes endless domains); anyone looking to host more than one internet site has a rather simple decision to make.
 
In [[probability]] and [[statistics]],  '''point process notation''' comprises the range of [[mathematical notation]] used to symbolically represent [[random]] [[Mathematical object|objects]] known as [[point process]]es, which are used in related fields such as [[stochastic geometry]], [[spatial statistics]] and [[continuum percolation theory]] and frequently serve as [[mathematical models]] of random phenomena, representable as points, in time, space or both.
 
The notation varies due to the histories of certain mathematical fields and the different interpretations of point processes,<ref name="stoyan1995stochastic">D. Stoyan, W. S. Kendall, J. Mecke, and L. Ruschendorf. ''Stochastic geometry and its applications'', volume 2. Wiley Chichester, 1995.</ref><ref name="daleyPPI2003">{{cite doi|10.1007/b97277}}</ref> and borrows notation from mathematical areas of study such as [[measure theory]] and [[set theory]].<ref name="stoyan1995stochastic"/>
 
==Interpretation of point processes==
 
The notation, as well as the terminology, of point processes depends on their setting and interpretation as mathematical objects which under certain assumptions can be interpreted as a random [[sequences]] of points, random [[Set (mathematics)|sets]] of points or random [[counting measure]]s.<ref name="stoyan1995stochastic"/>
 
===Random sequences of points===
 
In some mathematical frameworks, a given point process may be considered as a sequence of points with each point randomly positioned in ''d''-dimensional [[Euclidean space]] '''R'''<sup>''d''</sup><ref name="stoyan1995stochastic"/> as well as some other more abstract [[mathematical space]]s.  In general, whether  or not  a random sequence is equivalent to the other interpretations of a point process depends on the underling mathematical space, but this holds true for the setting of finite-dimensional Euclidean space '''R'''<sup>''d''</sup>.<ref name="daleyPPII2008">{{cite doi|10.1007/978-0-387-49835-5}}</ref>
 
===Random set of points===
 
A point process is called ''simple'' if no two (or more points) coincide in location with [[Almost surely|probability one]]. Given that often point processes are simple and the order of the points does not matter, a collection of random points can be considered as a random set of  points<ref name="stoyan1995stochastic"/><ref name="baddeley2007spatial">{{cite doi|10.1007/978-3-540-38175-4_1}}</ref> The theory of random sets was independently developed by [[David George Kendall|David Kendall]] and [[Georges Matheron]]. In terms of being considered as a random set, a sequence of random points is a random closed set if the sequence has no [[Limit point#Types of limit points|accumulation points]] with probability one<ref name="schneider2008stochastic">{{cite doi|10.1007/978-3-540-78859-1}}</ref>
 
A point process is often denoted by a single letter,<ref name="stoyan1995stochastic"/><ref name="kingman1992poisson">[[J. F. C. Kingman]]. ''Poisson processes'', volume 3. Oxford university press, 1992.</ref><ref name="moller2003statistical">{{cite doi|10.1201/9780203496930}}</ref> for example <math> {N}</math>, and if the point process is considered as a random set, then the corresponding notation:<ref name="stoyan1995stochastic"/>
 
:<math> x\in {N}, </math>
 
is used to denote that a random point <math>x</math> is an [[Element (mathematics)|element]] of (or [[Element (mathematics)#Notation and terminology|belongs]] to) the point  process <math>  {N}</math>. The theory of random sets can be applied to point processes owing to this interpretation, which alongside the random sequence interpretation has resulted in a point process being written as:
 
:<math> \{x_1, x_2,\dots \}=\{x\}_i,</math>
 
which highlights its interpretation as either a random sequence or random closed set of points.<ref name="stoyan1995stochastic"/>
 
===Random measures===
 
To denote the number of points of <math>  {N}</math> located in some [[Borel set]] <math>  B</math>, it is sometimes written <ref name="kingman1992poisson"/>
 
:<math> \Phi(B) =\#( B \cap {N}), </math>
 
where <math>  \Phi(B)</math> is a [[random variable]] and <math>  \#</math> is a [[counting measure]], which gives the number of points in some set. In this [[mathematical expression]] the point process is denoted by:
 
<math>  {N}</math>.
 
On the other hand, the symbol:
 
<math>  \Phi </math>
 
represents the number of points of <math>  {N}</math> in <math>  B</math>. In the context of random measures,  one  can write:
 
<math> \Phi(B)=n</math>
 
to denote that there is the set <math>  B</math> that contains <math>  n</math> points of <math> {N}</math>. In other words, a point process can be considered as a [[random measure]] that assigns some non-negative integer-valued [[Measure (mathematics)|measure]]  to sets.<ref name="stoyan1995stochastic"/> This interpretation has motivated a point process being considered just another name for a ''random counting measure''<ref name="molvcanov2005theory">{{cite doi|10.1007/1-84628-150-4}}</ref>{{rp|106}} and the techniques of random measure theory offering another way to study point processes,<ref name="stoyan1995stochastic"/><ref name="grandell1977point">{{cite jstor|1426111}}</ref> which also induces the use of the various notations used in [[Integral#Terminology and notation|integration]] and measure theory. {{efn|As discussed in Chapter 1 of Stoyan, Kendall and Mechke,<ref name="stoyan1995stochastic"/> varying [[integral]] notation in general applies to all integrals here and elsewhere.}}
 
==Dual notation==
 
The different interpretations of point processes as random sets and counting measures is captured with the often used notation <ref name="stoyan1995stochastic"/><ref name="moller2003statistical"/><ref name="BB1">{{cite doi|10.1561/1300000006}}</ref> in which:
 
* <math> {N}</math> denotes a set of random points.
 
* <math> {N}(B)</math> denotes a random variable that gives the number of points  of <math> {N}</math> in <math>  B</math> (hence it is a random counting measure).
 
Denoting the counting measure again with <math> \#</math>, this dual notation implies:
 
:<math> {N}(B) =\#(B \cap {N}). </math>
 
==Sums==
 
If <math>f</math> is some [[measurable function]] on '''R'''<sup>''d''</sup>, then the sum of <math>  f(x)</math> over all the points <math> x</math> in <math> {N}</math> can<ref name="stoyan1995stochastic"/> be written as:
 
:<math> f(x_1) + f(x_2)+ \cdots </math>
 
which has the random sequence appearance, or more compactly with set notation as:
 
:<math> \sum_{x\in {N}}f(x) </math>
 
or equivalently as:
 
:<math> \int_{\textbf{N}} f(x) {N}(dx) </math>
 
where <math>  \textbf{N}</math> is the [[Sample_space|space]] of all possible counting measures, hence putting an  emphasis on the interpretation of <math> {N}</math> as a random counting measure. An alternative integration notation may be used to write this integral as:
 
:<math> \int_{\textbf{N}} f \, d{N} </math>
 
The dual interpretation of point processes is illustrated when writing the number of <math>  {N}</math> points in a set <math>  B</math> as:
 
:<math> {N}(B)= \sum_{x\in {N}}1_B(x) </math>
 
where the [[indicator function]] <math> 1_B(x) =1</math> if the point <math>  x</math> is exists in <math>  B</math> and zero otherwise, which in this setting is also known as a [[Dirac measure]].<ref name="BB1"/> In this expression the random measure interpretation is on the [[left-hand side]] while the random set notation is used is on the right-hand side.
 
==Expectations==
 
The [[average]] or [[expected value]] of a sum of functions over a point process is written as:<ref name="stoyan1995stochastic"/>
 
:<math> E\left[\sum_{x\in {N}}f(x)\right] \qquad \text{or} \qquad  \int_{\textbf{N}}\sum_{x\in {N}}f(x) P(d{N}), </math>
 
where (in the random measure sense) <math>  P</math> is an appropriate [[probability measure]] defined on the space of [[counting measure]]s <math> \textbf{N}</math>. The expected value of <math> {N}(B)</math> can be written as:<ref name="stoyan1995stochastic"/>
 
:<math> E[{N}(B)]=E\left( \sum_{x\in {N}}1_B(x)\right) \qquad \text{or}  \qquad  \int_{\textbf{N}}\sum_{x\in {N}}1_B(x) P(d{N}). </math>
 
which is also known as the first [[moment measure]] of  <math>  {N}</math>.
 
==Uses in other fields==
 
Point processes serve are employed in other mathematical and statistical disciplines, hence the notation may be used in fields such [[stochastic geometry]], [[spatial statistics]] or [[continuum percolation theory]], and areas which use the methods and theory from these fields.
 
==See also==
* [[Mathematical Alphanumeric Symbols]]
* [[Mathematical notation]]
* [[Notation in probability]]
* [[Table of mathematical symbols]]
 
==References==
 
{{notelist}}
 
<references/>
 
{{DEFAULTSORT:Mathematical Notation}}
[[Category:Mathematical notation| ]]

Latest revision as of 04:57, 27 March 2014

Hostgator is a huge privately had hosting business running from several state of the art centers in Dallas, Texas. Hostgator was established in 2002, ever since they have grown quickly and presently host over 400,000 internet sites. They are also widely considered to be the worlds leading supplier of reseller hosting accounts. At present they provide hosting to over 10,000 specific reseller account clients.

Hostgator provides numerous different hosting plans, and accommodate a broad variety of customers. From the first time webmaster who requires basic, tension complimentary hosting for their personal website; all the method through to big corporations, who require specialist dedicated hosting services.

Hostgator's hosting plans can be divided into 3 groups; standard shared hosting plans (suitable for the vast bulk individuals), reseller hosting plans (these are mainly for individuals and businesses that want to "resell" their account resources to customers of their own), and lastly committed server plans (these accounts provide consumer their own server, so they don't have to share its resources with anybody else). Very few of us will every need a specialized server so this evaluation will concentrate on the shared hosting plans that Hostgator offer.

Functions

Hostgator's 3 main shared hosting plans are named: "Hatchling" (the entry level plan priced at $6.95 / month), "Infant" (this is the most popular strategy, and it is likely to satisfy the requirements of a really wide array of clients), and "Swamp" (similar as the "Baby" plan, but with increases in bandwidth and disk area, priced at $14.95 / month).

For a complete list of attributes and a side by side contrast of all hosting strategies you must go to Hostgator's internet site here. Below is a testimonial of the most crucial functions of the "Infant" plan, this is most likely the most appropriate bundle for most individuals, and it is our preferred strategy.

Disk area 100GB - This quantity has been just recently updated by Hostgator from 5GB to an enormous 100GB. All individuals are likely to discover it impossible to tire this amount of disk space.

Bandwidth 1000GB/month - Likewise increased is the bandwidth allotment, from 75GB to an apparently extreme 1000GB. Once again rather much absolutely no chance of using all that, but it's good to know that you definitely will not be dealing with extra costs for going over your restriction, even if you have an extremely hectic site(s).

Site Studio website contractor - This is a fantastic cost-free program that enables you to develop your site from scratch. You have over 500 templates and color design to pick from. You require no HTML experience, or code writing knowledge. It provides the most basic possible means of developing an expert looking website in an extremely brief space of time. There is no need to take my word for it, as Hostgator provides us with a demo version of the software application on their site!

Unlimited add-on domains - This really is the stand out function of this hosting plan (the "Hatchling" strategy just permits 1 domain), and enables you to host as lots of sites as you like on a single account, at no additional cost. This allows you to make complete use of your enormous bandwidth and disk space allowances, and host numerous internet sites at a fraction of the normal cost.

99.9 % Uptime assurance - This essentially tells us that Hostgator is a major host providing a trustworthy service. If uptime drops below this figure in any given month then you do not pay for that months hosting, it's as simple as that! We would never consider utilizing a host that did not offer a strong uptime guarantee; this is simply since there is only one good reason a host will not provide an uptime assurance - unreliable uptime!

30 Day refund guarantee - This has become a rather basic feature in the web hosting community, though it's nice to have actually for added assurance.

Immediate setup - The majority of hosting service providers take 24-48 hours to setup your account but Hostgator guarantees to have you up and running in under 15 minutes (they do not charge a setup fee either)!

Limitless MySQL data sources - This is extremely helpful due to the fact that each Fantastico (see below) script needs its own MySQL data source.

Fantastico DeLuxe - This outstanding program enables you to instantly set up over 50 scripts through your control panel. Scripts consist of blog sites, online forums, galleries, shopping carts, and more.

Limitless email accounts - Allows you to have as many, or as couple of, different email addresses as you like.

It contains lots of functions and provides great performance. Best of all, there is a complete working demo on the Hostgator website, so you can test it out yourself!

Consumer service and technical support

Hostgator provides us 24/7 phone support, and live online talk. The reality that you are offered 2 choices to get instantaneous technical support at any time of the day is wonderful. Our experience has actually constantly been very great when speaking to Hostgator, their operatives are very respectful and most significantly they appear to understand their stuff when taking care of technical problems. Nonetheless, we always advise calling them yourself prior to signing up. Ask them a concern and see if you're thrilled by their response. Here's more info about Hostgator Coupon Code (support.borinquenhealth.org) take a look at the web-page. This constantly informs you a lot about a company!

Efficiency

The efficiency from Hostgator's servers is excellent! Hostgator location much tighter restrictions on the variety of internet sites sharing the exact same server compared to most various other shared hosting service providers. This offers higher dependability due to the fact that less pressure is placed on the servers; and it likewise considerably improves the rate at which your internet pages run.

Server performance is an additional among the essential areas where Hostgator differentiate themselves from the group of various other webhosting.

Our judgment

Generally there is so much to such as about the method Hostgator does company, they truly do seem to have a good grasp on what the average customer requires from a web hosting service provider. Rarely do you come across reports of unhappy Hostgator customers, and after hosting with them ourselves we now know why! At just $9.95 / month for the "Child" plan (which includes endless domains); anyone looking to host more than one internet site has a rather simple decision to make.

Retrieved from "https://en.formulasearchengine.com/index.php?title=(60621)_2000_FE8&oldid=288717"