Transitive set - Revision history

Admin at 20:45, 22 February 2021

2021-02-22T20:45:28Z

← Older revision		Revision as of 22:45, 22 February 2021
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	~~Wilber Berryhill is what his spouse loves to contact him~~ and ~~he completely loves this name~~. ~~Her family members lives in Alaska but her husband wants them to transfer~~. ~~Invoicing~~ is ~~my profession. What me and my family love is performing ballet but I~~'~~ve been taking on new things lately~~.<br><br>~~Review my~~ page: ~~psychic readings ([http~~://~~black7~~.~~mireene~~.~~com~~/~~aqw~~/~~5741 visit~~ the ~~following web page~~])		{{Documentation subpage}}
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128.101.152.131: some small mathematical notation corrections

2014-09-01T13:11:57Z

some small mathematical notation corrections

← Older revision		Revision as of 15:11, 1 September 2014
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	~~'''Haber's rule''' or '''Haber's law'''~~ is ~~a [[mathematical]] statement of the relationship between the [[concentration]] of a [[poisonous]] [[gas]]~~ and ~~how long the gas must be breathed to produce death, or other [[toxic]] effect~~. ~~The rule was formulated by [[Germany\|German]] [[chemist]] [[Fritz Haber]]~~ in ~~the early 1900s~~.		Wilber Berryhill is what his spouse loves to contact him and he completely loves this name. Her family members lives in Alaska but her husband wants them to transfer. Invoicing is my profession. What me and my family love is performing ballet but I've been taking on new things lately.<br><br>Review my page: psychic readings ([http://black7.mireene.com/aqw/5741 visit the following web page])

	Haber's rule states that, for a given poisonous gas, <math>C\times t = k</math>, where <math>C</math> is the concentration of the gas (mass per unit volume), <math>t</math> is the amount of time necessary to breathe the gas, in order to produce a given toxic effect, and <math>k</math> is ~~a constant, depending on both the gas and the effect. Thus, the rule states that doubling the concentration will halve the time, for example~~.

	~~It makes [[Equivalent (chemistry)\|equivalent]] any two groupings of [[dose concentration]]~~ and [[exposure time]] that have equivalent [[mathematical product]]s. For instance, if we assign [[Dose (biochemistry)\|dose]] [[concentration]] the [[symbol]] C, and [[time]] the classic t, then for any two dose [[Conceptual model\|schema]], if C<sub>1</sub>t<sub>1</sub>=C<sub>2</sub>t<sub>2</sub>, then under Haber's rule the two dose schema are equivalent.

	~~Haber's rule~~ is an approximation, useful with certain inhaled poisons under certain conditions, and Haber himself acknowledged that it was not always applicable. If a substance is efficiently eliminated in the host, for example, then Haber's Law breaks down in the limit of t approaching the [[Order of reaction\|order]] of the [[half-life]] of the [[drug]], rewriting the equation as the integral ∫Cdt = constant for arbitrary varying C and elapsed time T. ~~It is very convenient, however, because its relationship between~~ <~~math~~>C<~~/math~~> ~~and <math>t</math> appears as a straight line in a~~ [~~[log-log plot]].~~

	In 1940, [[statistician]] C. I. Bliss published a study of [[toxicity]] in [[insecticide]]s in which he proposed more complex [[mathematical model\|models]], for example, expressing the relationship between <math>C</~~math> and <math>t<~~/math> as two straight line segments in a [[log-log plot]].<ref>{{cite journal \| author=C. I. Bliss \| title= The relationship between exposure, time, concentration and toxicity in experiments on insecticides \| journal=Annals of the Entomological Society of America \| year=1940 \| volume=33 \| pages=721–766}}</ref> However, because of its simplicity, Haber's rule continued to be widely used. Recently, some researchers have argued that it is time to move beyond the simple relationship expressed by Haber's rule and to make regular use of more sophisticated models.<ref>{{cite journal \| author=F. J. Miller, P. M. Schlosser, and D. B. Janszen \| title=Haber's rule: a special case in a family of curves relating concentration and duration of exposure to a fixed level of response for a given endpoint \| journal=Toxicology \| date=August 14, 2000 \| volume=149\| issue = 1 \| pages=22–34 \| pmid=10963858 \| doi=10.~~1016~~/~~S0300-483X(00)00229-8}}<~~/~~ref>~~

	~~==See also==~~
	*{{LD50}}
	*[[Fritz Haber]]
	*[[Toxicology]]
	*[[Chemical warfare]]
	*[[Area under the ~~curve]]~~

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Pharmacokinetics]]~~
	~~[[Category:Toxicology]~~]

en>Ttwo: /* References */ added External links.

2013-04-20T15:33:00Z

References: added External links.

← Older revision		Revision as of 17:33, 20 April 2013
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	The ~~name~~ of the ~~writer~~ is ~~Jayson~~. He is an ~~purchase clerk~~ and it's ~~something~~ he ~~truly appreciate~~. I~~'ve always cherished residing~~ in ~~Kentucky but now I~~'~~m contemplating other options~~. ~~To climb~~ is ~~some thing she would~~ by ~~no means give up~~.<br>~~<br>Here is my blog~~ ... ~~[http~~:~~//cartoonkorea~~.~~com~~/~~ce002~~/~~1093612 accurate psychic predictions~~]		'''Haber's rule''' or '''Haber's law''' is a [[mathematical]] statement of the relationship between the [[concentration]] of a [[poisonous]] [[gas]] and how long the gas must be breathed to produce death, or other [[toxic]] effect. The rule was formulated by [[Germany\|German]] [[chemist]] [[Fritz Haber]] in the early 1900s.

			Haber's rule states that, for a given poisonous gas, <math>C\times t = k</math>, where <math>C</math> is the concentration of the gas (mass per unit volume), <math>t</math> is the amount of time necessary to breathe the gas, in order to produce a given toxic effect, and <math>k</math> is a constant, depending on both the gas and the effect. Thus, the rule states that doubling the concentration will halve the time, for example.

			It makes [[Equivalent (chemistry)\|equivalent]] any two groupings of [[dose concentration]] and [[exposure time]] that have equivalent [[mathematical product]]s. For instance, if we assign [[Dose (biochemistry)\|dose]] [[concentration]] the [[symbol]] C, and [[time]] the classic t, then for any two dose [[Conceptual model\|schema]], if C<sub>1</sub>t<sub>1</sub>=C<sub>2</sub>t<sub>2</sub>, then under Haber's rule the two dose schema are equivalent.

			Haber's rule is an approximation, useful with certain inhaled poisons under certain conditions, and Haber himself acknowledged that it was not always applicable. If a substance is efficiently eliminated in the host, for example, then Haber's Law breaks down in the limit of t approaching the [[Order of reaction\|order]] of the [[half-life]] of the [[drug]], rewriting the equation as the integral ∫Cdt = constant for arbitrary varying C and elapsed time T. It is very convenient, however, because its relationship between <math>C</math> and <math>t</math> appears as a straight line in a [[log-log plot]].

			In 1940, [[statistician]] C. I. Bliss published a study of [[toxicity]] in [[insecticide]]s in which he proposed more complex [[mathematical model\|models]], for example, expressing the relationship between <math>C</math> and <math>t</math> as two straight line segments in a [[log-log plot]].<ref>{{cite journal \| author=C. I. Bliss \| title= The relationship between exposure, time, concentration and toxicity in experiments on insecticides \| journal=Annals of the Entomological Society of America \| year=1940 \| volume=33 \| pages=721–766}}</ref> However, because of its simplicity, Haber's rule continued to be widely used. Recently, some researchers have argued that it is time to move beyond the simple relationship expressed by Haber's rule and to make regular use of more sophisticated models.<ref>{{cite journal \| author=F. J. Miller, P. M. Schlosser, and D. B. Janszen \| title=Haber's rule: a special case in a family of curves relating concentration and duration of exposure to a fixed level of response for a given endpoint \| journal=Toxicology \| date=August 14, 2000 \| volume=149\| issue = 1 \| pages=22–34 \| pmid=10963858 \| doi=10.1016/S0300-483X(00)00229-8}}</ref>

			==See also==
			*{{LD50}}
			*[[Fritz Haber]]
			*[[Toxicology]]
			*[[Chemical warfare]]
			*[[Area under the curve]]

			==References==
			{{reflist}}

			[[Category:Pharmacokinetics]]
			[[Category:Toxicology]]

en>Arthur Rubin: Reverted good faith edits by 128.8.177.186 (talk): No. X is not in the transitive closure of X. (TW)

2012-04-23T23:42:03Z

Reverted good faith edits by 128.8.177.186 (talk): No. X is not in the transitive closure of X. (TW)

New page

The name of the writer is Jayson. He is an purchase clerk and it's something he truly appreciate. I've always cherished residing in Kentucky but now I'm contemplating other options. To climb is some thing she would by no means give up.<br><br>Here is my blog ... [http://cartoonkorea.com/ce002/1093612 accurate psychic predictions]