Galois connection: Difference between revisions

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en>Jochen Burghardt
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en>Jochen Burghardt
→Applications in the theory of programming: cited own article; no objection on talk page (Suggest to cite "own" article in section "Applications in the theory of programming") since Feb 1st
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Whenever in search of the proper hemorrhoid treatment you need to consider a limited significant factors such as, which one we think you want, when there is a terrific amount of recovery needed, and how long it takes to get results. In this particular article you'll learn the answers to all of these questions, giving you the answer you require to find the proper hemorrhoid treatment.<br><br>If you have been seeing blood on the bathroom paper, you may be probably in the late stages of the condition plus need a surprisingly efficient [http://hemorrhoidtreatmentfix.com/external-hemorrhoids external hemorrhoids].<br><br>H-Miracle by Holly Hayden is not a cream or topical answer however a step by step guide to receive rid of hemorrhoids. It offers a holistic approach to treating hemorrhoids: what to consume, what not to eat, what to do plus what not to do. It also comes with a great deal of freebies like books on "How to Ease Your Allergies" and "Lessons from Miracle Doctors". A great deal of customers like it as a result of the simple to follow instructions and the effectiveness of the natural solutions used. Plus they moreover provide a income back guarantee only inside case the system doesn't function for you or anybody inside the family who is experiencing hemorrhoids.<br><br>Because there are actually just 3 or four leading causes for hemorrhoids, the answer lies in going to the source plus basically doing aspects differently, with a little aid from nature.<br><br>This 1 is anything I suggest we start doing right away, if you're not absolutely. It's the easiest natural hemorrhoids cure to begin utilizing, and it surely will create a difference. Among its several other health advantages, a diet high in fiber and with a lot of water intake makes a stool much simpler to pass. By being more gentle on the behind, we will allow your hemorrhoids to heal and prevent future developments. Plus, it's basically free. So should you choose 1 all-natural cure, choose this 1.<br><br>The surgery procedures usually involve scalpel, this might be usually performed by cutting away the swelling plus closing up the wounds. With this procedure you're needed to stay in the hospital after the process so which you'll be provided certain painkillers. Normally you'll feel the serious pain whenever the anesthesia wears off.<br><br>As far because the fast fix for pain and itching is worried, nature equally provides in the shape of natural remedies, sitz baths plus believe it or not, ice chips. These techniques not merely work rapidly, however they are safe. This really is especially superior news for pregnant women whom have to be careful when using medications.
In [[geometry]], a '''cuboid''' is a [[convex polyhedron]] bounded by six [[quadrilateral]] faces, whose [[polyhedral graph]] is the same as that of a [[cube]]. While some mathematical literature refers to any such polyhedron as a cuboid,<ref>{{citation|title=Polytopes and Symmetry|first=Stewart Alexander|last=Robertson|publisher=Cambridge University Press|year=1984|isbn=978-0-521-27739-6|page=75}}</ref> other sources use "cuboid" to refer to a shape of this type in which each of the faces is a [[rectangle]] (and so each pair of adjacent faces meets in a [[right angle]]); this more restrictive type of cuboid is also known as a '''rectangular cuboid''', '''right cuboid''', '''rectangular [[box]]''', '''rectangular [[hexahedron]]''', '''right rectangular prism''', or '''rectangular [[parallelepiped]]'''.<ref>{{citation|title=Elements of Synthetic Solid Geometry|first=Nathan Fellowes|last=Dupuis|publisher=Macmillan|year=1893|page=53}}</ref>
 
==General cuboids==
By [[Euler characteristic|Euler's formula]] the number of faces ('F'), vertices (''V''), and edges (''E'') of any convex polyhedron are related by the formula "F + V " = E + 2 . In the case of a cuboid this gives 6 + 8  = 12 + 2; that is, like a cube, a cuboid has 6 [[Face (geometry)|faces]], 8 [[vertex (geometry)|vertices]], and 12 edges.
 
Along with the rectangular cuboids, any [[parallelepiped]] is a cuboid of this type, as is a square [[frustum]] (the shape formed by truncation of the apex of a [[square pyramid]]).
 
==Rectangular cuboid==
 
{| cellpadding="5"  style="background:#fff; float:right; margin-left:10px; width:250px;" class="wikitable"
|-
! style="background:#e7dcc3;" colspan="2"|Rectangular cuboid
|-
|colspan=2|[[File:Cuboid simple.svg|240px|Rectangular cuboid]]
|-
| style="background:#aeae74;"|Type||[[Prism (geometry)|Prism]]
|-
| style="background:#e7dcc3;"|Faces||6 [[rectangle]]s
|-
| style="background:#e7dcc3;"|Edges||12
|-
| style="background:#e7dcc3;"|Vertices||8
|-
| style="background:#e7dcc3;"|[[List of spherical symmetry groups|Symmetry group]]||[[Dihedral symmetry|''D''<sub>''2h''</sub>]], [2,2], (*222), order 8
|-
| style="background:#e7dcc3;"|[[Schläfli symbol]]||{&nbsp;}×{&nbsp;}×{&nbsp;} or {&nbsp;}<sup>3</sup>
|-
| style="background:#e7dcc3;"|[[Coxeter diagram]]||{{CDD|node_1|2|node_1|2|node_1}}
|-
| style="background:#e7dcc3;"|[[Dual polyhedron]]||Rectangular fusil
|-
| style="background:#e7dcc3;"|Properties||[[Convex polyhedron|convex]], [[zonohedron]], [[isogonal figure|isogonal]]
|}In a rectangular cuboid, all angles are [[right angle]]s, and opposite faces of a cuboid are [[congruence (geometry)|equal]]. It is also a '''right rectangular [[Prism (geometry)|prism]]'''. The term "rectangular or oblong prism" is ambiguous. Also the term ''rectangular [[parallelepiped]]'' or orthogonal parallelepiped is used.
 
The '''square cuboid''', '''square box''', or '''right square prism''' (also ambiguously called ''square prism'') is a special case of the cuboid in which at least two faces are squares.  The [[cube (geometry)|cube]] is a special case of the square cuboid in which all six faces are squares.
 
If the dimensions of a cuboid are ''a'', ''b'' and ''c'', then its [[volume]] is ''abc'' and its [[surface area]] is 2''ab'' + 2''ac'' + 2''bc''.
 
The length of the [[space diagonal]] is
:<math>d = \sqrt{a^2+b^2+c^2}.\ </math>
 
Cuboid shapes are often used for [[box]]es, [[cupboard]]s, [[Room (architecture)|room]]s, buildings, etc. Cuboids are among those solids that can [[Honeycomb (geometry)|tessellate 3-dimensional space]]. The shape is fairly versatile in being able to contain multiple smaller cuboids, e.g. [[sugar]] cubes in a box, boxes in a cupboard, cupboards in a room, and rooms in a building.
 
A cuboid with integer edges as well as integer face diagonals is called an [[Euler brick]], for example with sides 44, 117 and 240.
A [[Euler brick#Perfect cuboid|perfect cuboid]] is an Euler brick whose space diagonal is also an integer.  It is currently unknown whether a perfect cuboid actually exists.
 
== See also ==
* [[Cube]]
* [[Hyperrectangle]]
* [[Rectangle]]
* [[Trapezohedron]]
 
==References==
{{reflist}}
 
== External links ==
{{Commons category|Cuboids}}
* {{MathWorld | urlname=Cuboid | title=Cuboid}}
* [http://www.korthalsaltes.com/model.php?name_en=rectangular%20prism Rectangular prism and cuboid] Paper models and pictures
{{Polyhedron navigator}}
[[Category:Elementary shapes]]
[[Category:Polyhedra]]
[[Category:Prismatoid polyhedra]]
[[Category:Space-filling polyhedra]]
[[Category:Zonohedra]]

Revision as of 12:28, 1 March 2014

Whenever in search of the proper hemorrhoid treatment you need to consider a limited significant factors such as, which one we think you want, when there is a terrific amount of recovery needed, and how long it takes to get results. In this particular article you'll learn the answers to all of these questions, giving you the answer you require to find the proper hemorrhoid treatment.

If you have been seeing blood on the bathroom paper, you may be probably in the late stages of the condition plus need a surprisingly efficient external hemorrhoids.

H-Miracle by Holly Hayden is not a cream or topical answer however a step by step guide to receive rid of hemorrhoids. It offers a holistic approach to treating hemorrhoids: what to consume, what not to eat, what to do plus what not to do. It also comes with a great deal of freebies like books on "How to Ease Your Allergies" and "Lessons from Miracle Doctors". A great deal of customers like it as a result of the simple to follow instructions and the effectiveness of the natural solutions used. Plus they moreover provide a income back guarantee only inside case the system doesn't function for you or anybody inside the family who is experiencing hemorrhoids.

Because there are actually just 3 or four leading causes for hemorrhoids, the answer lies in going to the source plus basically doing aspects differently, with a little aid from nature.

This 1 is anything I suggest we start doing right away, if you're not absolutely. It's the easiest natural hemorrhoids cure to begin utilizing, and it surely will create a difference. Among its several other health advantages, a diet high in fiber and with a lot of water intake makes a stool much simpler to pass. By being more gentle on the behind, we will allow your hemorrhoids to heal and prevent future developments. Plus, it's basically free. So should you choose 1 all-natural cure, choose this 1.

The surgery procedures usually involve scalpel, this might be usually performed by cutting away the swelling plus closing up the wounds. With this procedure you're needed to stay in the hospital after the process so which you'll be provided certain painkillers. Normally you'll feel the serious pain whenever the anesthesia wears off.

As far because the fast fix for pain and itching is worried, nature equally provides in the shape of natural remedies, sitz baths plus believe it or not, ice chips. These techniques not merely work rapidly, however they are safe. This really is especially superior news for pregnant women whom have to be careful when using medications.

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