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| {{About|NOR in the logical sense|the electronic gate|NOR gate|other uses|Nor (disambiguation){{!}}Nor}}
| | Many folks are seeking an efficient hemorrhoid treatment because they wish To receive rid of their hemorrhoids as soon as possible. They never like to see any blood on their bathroom papers anymore, plus they do not wish To have any pain during constipation anymore either. This is the reason why they are striving thus hard in order to eliminate hemorrhoid inside a short time period.<br><br>Before you finally find out the best [http://hemorrhoidtreatmentfix.com/prolapsed-hemorrhoid-treatment prolapsed hemorrhoids treatment], it is actually significant to learn first the cause of the hemorrhoid. Actually there are lots of causes of hemorrhoid like irregularity, prolong sitting or standing, pregnancy along with a lot more. The first thing which you should do is to remedy the cause plus for certain getting rid of the hemorrhoid might follow.<br><br>Drink a lot of water. About 8 - 10 glasses of water a day. This really is to kind of keep your stool soft thus it doesn't ruture any viens plus cause bleeding throughout a bowel movement.<br><br>But what you certainly need to understand is how to do away with hemorrhoids in the extended term, plus avoid having a painful plus costly surgery. No one wants to go beneath the knife - incredibly for anything like hemorrhoids. If you want to learn how to do away with hemorrhoids in the long term thus you don't have to deal with painful flare ups in the future, the initial step is inside regulating a diet.<br><br>Thankfully, there are individuals in this globe with curious minds that never accept the status quo. Folks whom would very get to the root of a issue instead of placing up with a temporary answer, only to have it re-appear later.<br><br>It comes inside 2 types. One is a spray sort solution plus the additional a all-natural supplement for the colon. Just spray Venapro under the tongue and instantly the magic of Venapro sets inside. The ingredients trigger a all-natural immune inside reaction to the hemorrhoids. In brief, it "calms down" the symptoms of hemorrhoids.<br><br>Although these 7 steps are all good ways to heal hemorrhoids, they are no promise that we will be capable to completely heal the hemorrhoids or that they won't return. As a rule, when symptoms never clear up completely, return inside a limited days or deteriorate at certain point inside medicine, we need to receive an appointment to pay a visit to the general practitioner proper away. |
| {{redirect-distinguish2|Peirce arrow|[[Pierce-Arrow]], an automobile manufacturer}}
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| [[File:Venn1000.svg|220px|thumb|[[Venn diagram]] of <math>~A \downarrow B</math><br><small>(nor part in red)</small>]]
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| In [[boolean logic]], '''logical nor''' or '''joint denial''' is a truth-functional operator which produces a result that is the negation of [[logical disjunction|logical or]]. That is, a sentence of the form (''p'' NOR ''q'') is true precisely when neither ''p'' nor ''q'' is true—i.e. when both of ''p'' and ''q'' are ''false''. In [[grammar]], '''nor''' is a [[grammatical conjunction|coordinating conjunction]].
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| The NOR operator is also known as '''Peirce's arrow''' — [[Charles Sanders Peirce]] introduced the symbol ↓ for it,<ref name="BüningLettmann1999">{{cite book|author1=Hans Kleine Büning|author2=Theodor Lettmann|title=Propositional logic: deduction and algorithms|url=http://books.google.com/books?id=3oJE9yczr3EC&pg=PA2|year=1999|publisher=Cambridge University Press|isbn=978-0-521-63017-7|page=2}}</ref> and demonstrated that the logical NOR is completely expressible: by combining uses of the logical NOR it is possible to express any logical operation on two variables. Thus, as with its [[duality (mathematics)|dual]], the [[logical nand|NAND operator]] (a.k.a. the [[Henry M. Sheffer|Sheffer]] stroke — symbolized as either | or /), NOR can be used by itself, without any other logical operator, to constitute a logical [[formal system]] (making NOR [[functional completeness|functionally complete]]). It is also known as [[Willard Van Orman Quine|Quine]]'s dagger (his symbol was †), the '''{{visible anchor|ampheck}}''' (from Greek αμφηκης, cutting both ways; compare ''[[wikt:amphi-|amphi-]]'') by Peirce,<ref>C.S. Peirce, [[Charles Sanders Peirce bibliography#CP|CP]] 4.264</ref> or "neither-nor".
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| One way of expressing ''p'' NOR ''q'' is <math>\overline{p \lor q}</math>, where the symbol <math>\or</math> signifies OR and the bar signifies the negation of the expression under it: in essence, simply <math>\neg(p \lor q)</math>. Other ways of expressing ''p'' NOR ''q'' are X''pq'', and <math>\overline{p + q}</math>.
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| The [[computer]] used in the spacecraft that first carried humans to the [[moon]], the [[Apollo Guidance Computer]], was constructed entirely using NOR gates with three inputs. <ref name="Hall-1996">{{Citation
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| | first = Eldon C.
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| | last = Hall
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| | author-link = Eldon C. Hall
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| | title = Journey to the Moon: The History of the Apollo Guidance Computer
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| | place = Reston, Virginia, USA
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| | publisher = [[American Institute of Aeronautics and Astronautics|AIAA]]
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| | year = 1996
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| | page = 196
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| | doi =
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| | isbn = 1-56347-185-X }}
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| </ref> | |
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| ==Definition==
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| The '''NOR operation''' is a [[logical operation]] on two [[logical value]]s, typically the values of two [[proposition]]s, that produces a value of ''true'' if and only if both operands are false. In other words, it produces a value of ''false'' if and only if at least one operand is true.
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| ===Truth table===
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| The [[truth table]] of '''A NOR B''' (also written as '''A ↓ B''') is as follows:
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| {| class="wikitable" style="margin: 0 0 1em 1em"
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| |- bgcolor="#ddeeff" align="center"
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| |colspan=2|'''INPUT''' || '''OUTPUT'''
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| |- bgcolor="#ddeeff" align="center"
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| | A || B || A NOR B
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| |- bgcolor="#ddffdd" align="center"
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| |0 || 0 || 1
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| |- bgcolor="#ddffdd" align="center"
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| |0 || 1 || 0
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| |- bgcolor="#ddffdd" align="center"
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| |1 || 0 || 0
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| |- bgcolor="#ddffdd" align="center"
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| |1 || 1 || 0
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| |}
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| ==Properties==
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| Logical NOR does not possess any of the five qualities (truth-preserving, false-preserving, [[Linear#Boolean_functions|linear]], [[Monotonic#Boolean_functions|monotonic]], self-dual) required to be absent from at least one member of a set of [[functional completeness|functionally complete]] operators. Thus, the set containing only NOR suffices as a complete set.
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| ==Introduction, elimination, and equivalencies==
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| NOR has the interesting feature that all other logical operators can be expressed by interlaced NOR operations.
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| The [[Sheffer stroke|logical NAND]] operator also has this ability.
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| The logical NOR <math>\downarrow</math> is the negation of the disjunction:
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| {| style="text-align: center; border: 1px solid darkgray;"
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| |-
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| |<math>P \downarrow Q</math>
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| | <math>\Leftrightarrow</math>
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| |<math>\neg (P \or Q)</math>
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| |-
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| |[[File:Venn1000.svg|50px]]
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| | <math>\Leftrightarrow</math>
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| |<math>\neg</math> [[File:Venn0111.svg|50px]]
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| |}
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| Expressed in terms of NOR <math>\downarrow</math>, the usual operators of propositional logic are:
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| {|
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| |-
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| |<!--- not --->
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| {| style="text-align: center; border: 1px solid darkgray;"
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| |-
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| |<math>\neg P</math>
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| | <math>\Leftrightarrow</math>
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| |<math>P \downarrow P</math>
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| |-
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| |<math>\neg</math> [[File:Venn01.svg|36px]]
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| | <math>\Leftrightarrow</math>
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| |[[File:Venn10.svg|36px]]
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| |}<!--- end not--->
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| |
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| |<!--- arrow --->
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| {| style="text-align: center; border: 1px solid darkgray;"
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| |-
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| |<math>P \rightarrow Q</math>
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| | <math>\Leftrightarrow</math>
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| |<math>\Big( (P \downarrow P) \downarrow Q \Big)</math>
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| |<math>\downarrow</math>
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| |<math>\Big( (P \downarrow P) \downarrow Q \Big)</math>
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| |-
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| |[[File:Venn1011.svg|50px]]
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| | <math>\Leftrightarrow</math>
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| |[[File:Venn0100.svg|50px]]
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| |<math>\downarrow</math>
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| |[[File:Venn0100.svg|50px]]
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| |}<!--- end arrow --->
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| |-
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| |-
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| |<!--- and --->
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| {| style="text-align: center; border: 1px solid darkgray;"
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| |-
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| |<math>P \and Q</math>
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| | <math>\Leftrightarrow</math>
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| |<math>(P \downarrow P)</math>
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| |<math>\downarrow</math>
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| |<math>(Q \downarrow Q)</math>
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| |-
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| |[[File:Venn0001.svg|50px]]
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| | <math>\Leftrightarrow</math>
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| |[[File:Venn1010.svg|50px]]
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| |<math>\downarrow</math>
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| |[[File:Venn1100.svg|50px]]
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| |}<!--- end and --->
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| |
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| |<!--- or --->
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| {| style="text-align: center; border: 1px solid darkgray;"
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| |-
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| |<math>P \or Q</math>
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| | <math>\Leftrightarrow</math>
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| |<math>(P \downarrow Q)</math>
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| |<math>\downarrow</math>
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| |<math>(P \downarrow Q)</math>
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| |-
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| |[[File:Venn0111.svg|50px]]
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| | <math>\Leftrightarrow</math>
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| |[[File:Venn1000.svg|50px]]
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| |<math>\downarrow</math>
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| |[[File:Venn1000.svg|50px]]
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| |}<!--- end or --->
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| |}
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| ==See also==
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| {{col-begin}}
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| {{col-break}}
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| * [[Bitwise operation|Bitwise NOR]]
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| * [[Boolean algebra (logic)|Boolean algebra]]
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| * [[Boolean domain]]
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| * [[Boolean function]]
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| {{col-break}}
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| * [[Functional completeness]]
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| * [[NOR gate]]
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| * [[Propositional logic]]
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| * [[Sole sufficient operator]]
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| {{col-end}}
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| ==References==
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| {{reflist}}
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| {{Logical connectives}}
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| [[Category:Logical connectives]]
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| [[de:Peirce-Funktion]]
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| [[es:Puerta lógica#Puerta NO-O (NOR)]]
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| [[it:Algebra di Boole#NOR]]
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| [[ro:NOR logic]]
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Many folks are seeking an efficient hemorrhoid treatment because they wish To receive rid of their hemorrhoids as soon as possible. They never like to see any blood on their bathroom papers anymore, plus they do not wish To have any pain during constipation anymore either. This is the reason why they are striving thus hard in order to eliminate hemorrhoid inside a short time period.
Before you finally find out the best prolapsed hemorrhoids treatment, it is actually significant to learn first the cause of the hemorrhoid. Actually there are lots of causes of hemorrhoid like irregularity, prolong sitting or standing, pregnancy along with a lot more. The first thing which you should do is to remedy the cause plus for certain getting rid of the hemorrhoid might follow.
Drink a lot of water. About 8 - 10 glasses of water a day. This really is to kind of keep your stool soft thus it doesn't ruture any viens plus cause bleeding throughout a bowel movement.
But what you certainly need to understand is how to do away with hemorrhoids in the extended term, plus avoid having a painful plus costly surgery. No one wants to go beneath the knife - incredibly for anything like hemorrhoids. If you want to learn how to do away with hemorrhoids in the long term thus you don't have to deal with painful flare ups in the future, the initial step is inside regulating a diet.
Thankfully, there are individuals in this globe with curious minds that never accept the status quo. Folks whom would very get to the root of a issue instead of placing up with a temporary answer, only to have it re-appear later.
It comes inside 2 types. One is a spray sort solution plus the additional a all-natural supplement for the colon. Just spray Venapro under the tongue and instantly the magic of Venapro sets inside. The ingredients trigger a all-natural immune inside reaction to the hemorrhoids. In brief, it "calms down" the symptoms of hemorrhoids.
Although these 7 steps are all good ways to heal hemorrhoids, they are no promise that we will be capable to completely heal the hemorrhoids or that they won't return. As a rule, when symptoms never clear up completely, return inside a limited days or deteriorate at certain point inside medicine, we need to receive an appointment to pay a visit to the general practitioner proper away.