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Topic: Liebigs law of the minimum

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	LIEBIG-MUSEUM GIESSEN
		Justus Liebig, whose name was given to the Giessen university after the second world war, taught here from 1824 to 1852 as professor of chemistry.
		He propagated the sparing use of mineral nutrients (Liebig's minimum law) and he stressed the need for a consistent recycling of those nutrients more than 150 years ago.
		Liebig always wanted to inform the public in an exemplary clear style, which was in the best sense of the word popular.
	www.liebig-museum.de /english.html (810 words)

	Justus von Liebig - Wikipedia, the free encyclopedia
		He is known as the "father of the fertilizer industry" for his discovery of nitrogen as an essential plant nutrient, and his formulation of the Law of the Minimum which described the effect of individual nutrients on crops.
		Liebig was expelled from his grammar school for detonating an explosive device he had made at home from chemicals obtained from his father's business.
		He also formulated the Law of the Minimum, stating that a plant's development is limited by the one essential mineral that is in the relatively shortest supply, visualized as "Liebig's barrel".
	en.wikipedia.org /wiki/Justus_Liebig (550 words)

	Liebig's Law of the Minimum: Encyclopedia topic (Site not responding. Last check: 2007-10-09)
		Liebig's Law of the Minimum, often given simply as Liebig's Law or the Law of the Minimum, is a priciple developed in agricultural science (agricultural science: agricultural science (also called agronomy) is a broad multidisciplinary field that...
		Liebig's Law has been extended to biological population (population: (statistics) the entire aggregation of items from which samples can be drawn) s.
		For example, the growth of a biological population may not be limited by the total amount of resources available throughout the year (year: A period of time containing 365 (or 366) days), but by the minimum amount of resources available to that population at the time of year of greatest scarcity.
	www.absoluteastronomy.com /reference/liebigs_law_of_the_minimum (170 words)

	[No title]
		The problem is to make the sum of the interfacial tensions a minimum, each tension being proportional to the square of the difference of densities of the two contiguous liquids in question.
		If the current-function of the water referred to the body considered as origin is IA then the equation of the form of the crest of a wave of velocity w, the crest of which travels along with the body, is d¢=w ds where ds is an element of the length of the crest.
		But those whose wave-length is near to that of the wave of minimum velocity will diverge less than any of the others, so that the most marked feature at a distance from the body will be the two long lines of ripples of minimum velocity.
	encyclopedia.jrank.org /correction/edit?locale=en&content_id=64276 (13344 words)

	Liebig's Law of the Minimum - Encyclopedia Glossary Meaning Explanation Liebig's Law of the Minimum (Site not responding. Last check: 2007-10-09)
		Liebig's Law of the Minimum, often referred to simply as Liebig's Law or the Law of the Minimum, is a law developed in agricultural science formulated by Justus von Liebig.
		Liebig's Law has been extended to biological populations.
		For example, the growth of a biological population may not be limited by the total amount of resources present throughout the year, but by the minimum amount of resources available to that population at the time of the year of greatest scarcity.
	www.encyclopedia-glossary.com /en/Liebigs-Law-of-the-Minimum.html (291 words)

	CAPILLARY ACTION - LoveToKnow Article on CAPILLARY ACTION (Site not responding. Last check: 2007-10-09)
		The first part establishes the laws of the elasticity of a finite portion of the solid subjected to a homogeneous strain, and deduces from these laws the equations of the equilibrium and motion of a body subjected to any forces and displacements.
		In the two strata on either side of this the law, according to which p and x depend on the depth, will be the same as in a liquid mass of large dimensions.
		Two laws were, formulated by Savart with respect to the length of the continuous portion of a jet, and have been to a certain extent explained by Plateau.
	27.1911encyclopedia.org /C/CA/CAPILLARY_ACTION.htm (16914 words)

	Peak Oil Debunked: 108. LIEBIG'S LAW AND SUCCESSION
		The law states that the population of a species is constrained by whatever essential resource is in shortest supply.
		Doomers portray Liebig's Law as the mechanism of collapse, the executioner of species which have gone into overshoot, but this is a biased oversimplification.
		Doomers have the tendency, I've noticed, to treat various "laws of nature" (2nd Law of Thermodynamics, Liebig's Law, Jevons' Paradox) as gospel that are actually, well, not.
	peakoildebunked.blogspot.com /2005/09/108-liebigs-law-and-succession.html (1431 words)

	TELESCOPE - LoveToKnow Article on TELESCOPE (Site not responding. Last check: 2007-10-09)
		Like Gregory and Hall, he argued that, since the various humours of the human eye were so combined as to produce a perfect image, it should be possible by suitable combinations of lenses of different refracting media to construct a perfect object-glass.
		Adopting a hypothetical law of the dispersion of differently colored rays of light, he proved analytically the possibility of constructing an achromatic object-glass composed of lenses of glass and water.
		The reflecting surface is first ground to a spherical form, the parabolic figure being given in the final process by regulating the size of the pitch squares and the stroke of the polishing machine.
	30.1911encyclopedia.org /T/TE/TELESCOPE.htm (14001 words)

	Liebig's Law of the Minimum - All About All (Site not responding. Last check: 2007-10-09)
		Liebig's Law of the Minimum, often simply called Liebig's Law or the Law of the Minimum, is a principle developed in agricultural science by Justus von Liebig.
		For example, the growth of a biological population may not be limited by the total amount of resources available throughout the year, but by the minimum amount of resources available to that population at the time of year of greatest scarcity.
		That is, the growth of a population of animals might depend not on how much food is available in summer, but on how much food is available in winter.
	www.allaboutall.info /article/Liebig's_Law_of_the_Minimum (287 words)

	FSF Europe - Statement of the Free Software Foundations
		The result of ignoring the wisdom of approaching crucial legal regulation can be seen in another area: software patents have been introduced without evaluation, and according to the findings of several renowned institutions we now have to realise that they are harmful to competition and stifle innovation.
		These have often been treated on the basis that more is always better, an approach that ignores both Liebigs law of the minimum as well as Shelfords law of tolerance: Not only will increasing the dose of the non-limiting factor have no positive effect, an overdose can be toxic.
		In the light of the wisdom of Liebig and Shelford, agreeing to the creation of a WIPO Research and Evaluation Office (WERO) would seem trivial, so would the search for alternative means of fostering creativity.
	www.fsfeurope.org /projects/wipo/statement-20050930.en.html (744 words)

	THE WORLD'S MOST POLYMORPHIC SPECIES: Carrying capacity transgressed two ways
		The antidote to such thinking is provided by the relation between the carrying capacity concept and von Liebig's law of the minimum.
		Justus von Liebig (1842), an agricultural chemist, showed that it was the least abundantly available nutrient that limited the yield a farm could produce.
		Quantitatively, an environment's carrying capacity for a particular life form is set (according to von Liebigs law) by the continual rate of flow of the least abundantly available necessary resource.
	www.sbs.utexas.edu /resource/dieofforg/page81.htm (3486 words)

	T31 - Online Information article about T31
		succession of such steps we may arrive at the order of magnitude through-out, we conclude that this is the disposition of minimum tensions and energy.
		law be true, that ceteris paribus M varies as a, it follows from (1) that F is constant.
		special precautions to ensure the cleanliness of the water have shown that over a considerable range, the departure from Tate's law is not great.
	encyclopedia.jrank.org /SUS_TAV/T31.html (10358 words)

	Marxism message, RE: Colonial Latin America (Louis)
		Mark PS Julio might also go and look again at Liebigs Law of the Minimum: Liebig's Law and the limits to growth In 1842 an obscure professor of agronomy in the German provincial town of Giessen, published a book in English which would revolutionise agriculture.
		Liebig's Law is fundamental to most modern ideas about carrying capacity and the limits to growth.
		Liebig's Law has proven fundamental to understanding the cyclical dynamics of capitalist accumulation, but what the Law points to is not the existence of external limits to growth, as most environmentalists assume, but to the limits which occur immanently, as a system's dynamics evolve.
	archives.econ.utah.edu /archives/marxism/2001w24/msg00232.htm (616 words)

	Epoxy Encyclopedia (Site not responding. Last check: 2007-10-09)
		Several federal laws were passed in an attempt to settle the dispute, including the Missouri Compromise and the Compromise of 1850.
		Furthermore, the national representation of territories and the federal district of Washington, DC in Congress is limited: residents of the District of Columbia are subject to federal laws and federal taxes but their only Congressional representative is a non-voting delegate.
		The federal government is the national government, comprising the Legislative Branch (led by Congress), the Executive Branch (led by the President), and the Judicial Branch (led by the Supreme Court).
	toronto.northmen.en.ogarnij.info /en/epoxy (10333 words)

	LIEBIG's Law
		Justus von Liebig, generally credited with being the "Father of the Fertilizer Industry", propounded the "Law of the Minimum" which states that if one crop of the nutritive elements is deficient or lacking, plant growth will be poor even when all the other elements are abundant.
		Increasing the supply beyond this point is not helpful, as some other element would then be in a minimum supply and become the limiting factor.
		The concept of the law of the minimum has been modified as additional elements have proved to be essential in plant nutrition.
	www.microsoil.com /liebigs_law_of_the_minimum.htm (221 words)

	Fertilizer: Encyclopedia topic (Site not responding. Last check: 2007-10-09)
		A major source of soil fertility is the decomposing crop residue from prior years, though this is not considered "fertilizer."
		Justus von Liebig (Justus von Liebig: freiherr justus von liebig (may 12, 1803 in darmstadt, germany - april...
		[follow hyperlink for more...]) wrote in 1840 the law of the minimum (law of the minimum: liebigs law of the minimum, often given simply as liebigs law or the law of the...
	www.absoluteastronomy.com /reference/fertilizer (622 words)

	Law of the Minimum - Liebig's Law (Site not responding. Last check: 2007-10-09)
		Justus von Liebig, generally credited as the "father of the fertilizer industry", formulated the law of the minimum: if one crop nutrient is missing or deficient, plant growth will be poor, even if the other elements are abundant.
		Liebig likens the potential of a crop to a barrel with staves of unequal length.
		The capacity of this barrel is limited by the length of the shortest stave (in this case, phosphorus) and can only be increased by lengthening that stave.
	www.avocadosource.com /tools/FertCalc_files/liebigs_law.htm (91 words)

	M
		An acceptable mechanism of a specified reaction (and there may be a number of such alternative mechanisms not excluded by the evidence) must be consistent with the reaction stoichiometry, the rate law, and with all other available experimental data, such as the stereochemical course of the reaction.
		Inferences concerning the electronic motions which dynamically interconvert successive species along the reaction path (as represented by curved arrows, for example) are often included in the description of a mechanism.
		Molecular orbitals can also be described, in terms of the number of nuclei (or "centres") encompassed, as two-centre, multi-centre, etc. molecular orbitals, and are often expressed as a linear combination of atomic orbitals.
	www.chem.qmul.ac.uk /iupac/gtpoc/M.html (2808 words)

	THE WORLD'S MOST POLYMORPHIC SPECIES: Carrying capacity transgressed two ways
		The antidote to such thinking is provided by the relation between the carrying capacity concept and von Liebig's law of the minimum.
		Justus von Liebig (1842), an agricultural chemist, showed that it was the least abundantly available nutrient that limited the yield a farm could produce.
		Quantitatively, an environment's carrying capacity for a particular life form is set (according to von Liebigs law) by the continual rate of flow of the least abundantly available necessary resource.
	dieoff.org /page81.htm (3486 words)

	Dohse Aquaristik KG
		The 10 golden rules for maintaining an optimum aquarium provide the natural laws for a correctly functioning aquarium in which fish and plants are able to enjoy a healthy, vigorous life.
		Therefore the lighting must be adapted to the size of the aquarium and also to the water, and living conditions in it.
		However, if just one nutrient is missing the plant growth is stunted or the plants even perish (Liebigs's law of minimums).
	www.dohse-aquaristik.de /dupla/england/dupla/erfolgspunkte.php (1160 words)

	Australasian Agribusiness Review - Volume 6, 1998
		A model with its origins in Von Liebig's' ‘Law of the Minimum' is used to determine the marginal value of additional protein in feed barley to various livestock feeders.
		In order to analyze the marginal value of additional protein in feed barley to various livestock feeders, the least-cost feed rations model for this study was constructed on the basis of one developed by LaFrance and Watts (1986).
		Animal diet formulations are generally based upon Von Liebigs ‘Law of the Minimum' which states that the nutrient in shortest supply constrains the rate of growth of an animal.
	www.agrifood.info /review/1998/Gali.html (4816 words)

	Chemically assembled nano-scale circuit elements patent invention (Site not responding. Last check: 2007-10-09)
		According to Moore's law, the number of switches which can be produced on a computer chip has doubled every 18 months.
		However, it is becoming increasingly difficult to increase the number of elements on a chip using present technologies.
		If the unbound nucleic acid is the component of the system that is measured, the minimum background of the assay is the amount of unbound nucleic acid observed during any given measurable time period.
	www.freshpatents.com /Chemically-assembled-nano-scale-circuit-elements-dt20041028ptan20040214205.php (16271 words)

	Ecological Footprint -- Revisiting Carrying Capacity: Area-Based Indicators of Sustainability
		In particular, modern formulations of the second law suggest that all highly-ordered systems develop and grow (increase their internal order) "at the expense of increasing disorder at higher levels in the systems hierarchy" (Schneider and Kay, 1992).
		Thus while, the second law is arguably the ultimate governor of economic activity, standard models do not recognize the unidirectional and thermodynamically irreversible flux of available energy and matter upon which the economy depends (Figure 1).
		This is a sufficient "Second Law" explanation of the fact that animal manure represents one of the most pressing waste disposal problems confronting the Netherlands!] This "imported" land is five to seven times the area of Holland's domestic arable land.
	www.dieoff.com /page110.htm (6312 words)

	Modified
		Academic freedom continued to be restricted as professors (who are public servants) exercised self-censorship or modified their lectures to suit the views of their patrons in the Government.
		The law originally required that Uzbek would be the sole method of official communication by 1998, but subsequently was modified to remove a specific date.
		The reform also modified the minimum evaluation criteria for classifying investors (operating experience, amount billed monthly, minimum number of fixed subscribers, minimum amount of equity, etc.) in an attempt to widen the pool of bidders.
	www.websters-online-dictionary.org /definition/Modified (1906 words)

	History of Soil Fertility
		Jethro Tull 1674-1741 - Thought soil particles were ingested by plants.
		Justus Von Liebig (1803-1873) Laid the foundation for the modern fertilizer industry.
		Liebigs Law of the Minimum - If one of the essential nutrients is deficient, growth will be poor even if all other elements are abundant
	www.soil.ncsu.edu /lockers/Broome_S/ssc051/Lec1.htm (389 words)

	[No title]
		Apart from questions touching the statut per- sonnel (questions of wills, succession, heirship and the like, which are regu- lated by the laws of the country of the individual), they shall have cogni- zance of all questions touching real estate between all persons, even though they belong to the same (foreign) nationality.
		The law makes it the imperative duty of the Secretary of the Treasury to maintain the two metals on a parity with each other and provides the necessary means to accomplish it, the pledge of the
		BY GEORGE E. EVER since the beginning of Liebigs agricultural writings, more than half a century ago, the quasi scientific world has been seeking means to turn the wastes of urban life into wealth; and has been ascribing the downfall of empires to the pouring of those wastes into the sea.
	lcweb2.loc.gov /ndlpcoop/nicmoas/nora/nora0161.sgm (20091 words)

	New Page 1 (Site not responding. Last check: 2007-10-09)
		Where is the effect of soil nitrogen on growth more evident?
		Apply the Liebigs law of the minimum to the data on Fig.
		Is soil nitrogen a growth-limiting factor for the population of the prairie grass grown at 300 mg N per kg soil at low density?
	www.bioweb.uncc.edu /Faculty/Sokolova/BIOL3144/BIOL3144Fall2003/Lecture25/Q25.htm (237 words)

	ricardian theory - Books, journals, articles @ The Questia Online Library
		The law of one price and a theory of the firm: a Ricardian perspective on interindustry...by fiat.
		Liebig, Marx, and the Depletion of Soil Fertility: Relevance for Today's Agriculture
		In Marxs view, Andersons...formulation of the classical rent theory and Liebigs soil chemistry in order...the influence of the Malthusian-Ricardian natural law doctrines of overpopulation...
	www.questia.com /search/ricardian-theory (1220 words)

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