Hilbert–Samuel function - Revision history

en>David Eppstein: WP:IBID; more consistent ref format (rather than having some in full detail in footnotes while others have the detail elsewhere)

2014-08-20T06:05:19Z

WP:IBID; more consistent ref format (rather than having some in full detail in footnotes while others have the detail elsewhere)

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en>Yobot: WP:CHECKWIKI error fixes / special characters in sortkey fixed using AWB (9427)

2013-08-21T15:57:53Z

WP:CHECKWIKI error fixes / special characters in sortkey fixed using AWB (9427)

← Older revision		Revision as of 17:57, 21 August 2013
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	~~I was not injured~~, ~~but knives became my least favored tool for a a though thereafter~~. ~~If you have any sort~~ of ~~concerns regarding where and ways to make use~~ of ~~[http://www~~.~~thebestkitchenknivesreviews~~.~~com~~/~~best~~-~~chef~~-~~knives-reviews~~/ ~~Best Chef Knife In Japan], you can contact us at our internet site. Thunder Group JAS010055B 7" Angle Knife~~ is a ~~preferent choose us And I Lately firmly can't assist but propose it. With~~ the ~~international world class criteria , so taking in this solution a posh~~ or ~~even having said that lengthy lasting Some individuals like at present~~ the ~~Thunder Group JAS010055B 7" Angle Knife as a lot~~ of ~~variations~~ of ~~colourings, characters , stuffs~~. ~~I cannot consider trying to prepare meals with no a decent set~~ of ~~knives~~.<br><br><br><br>~~When you have researched all of this, and you nonetheless come to the conclusion that you would like to~~ be a chef then there are numerous routes that you can take into the profession. Very first off, the straightforward truth is that there is no single "best chef's knife." Each chef is built differently and the trick is in locating the one knife that feels correct in your hand. This knife ought to be sharp and it ought to be pretty very simple to preserve it sharp. A chef's knife is an all-purpose knife.<br><br>~~In the succeeding paragraphs, the leading four recommendation for forged~~ and ~~embossed ideal knife guide and their concise descriptions are supplied for your consideration~~. ~~In the identical token, every kitchen knife has a different price tag and benefit~~. ~~In totality, there are~~ a ~~lot~~ of ~~good kitchen knife brands to pick from that incorporate Rachael Ray, Forschner Victorinox, Henckels, Chicago Cutlery, International, Wusthof, Ginsu and a lot of far more. Tangs are~~ the ~~portion~~ of ~~the knife that extend into the manage. At around 200 deg.~~<br><br>Dojosaki Bocho- This knife has been specially developed for filleting fishes, particularly the sea eel and other small fishes that are caught through the summer time. Santoku knife- This Japanese chef knife comes with a scalloped edge and is ideally suited for scalloping numerous sorts of meats and fishes. The ~~frequent length of the chef knife~~ is ~~8 to 12 inches. Most chef handles are created from wood, but wood does have specific difficulties. I got my wife a Wusthof set for Christmas.~~<br><br>~~Hold the knife manage firmly and drive the point of the knife into the wood at least 1/2 to three/four inch deep if feasible.~~ ~~Apply pressure to~~ the ~~wide side of~~ the ~~knife blade to identify if the tip~~ of the ~~blade will rip by way~~ of the ~~wood or bend. Carry out any other cutting tasks to which the knife may perhaps be subjected primarily based on individual use~~. The ~~3 knives - paring knife, utility knife and chef's Santuko knife - will execute any job you want. Cleaver knife - utilized to reduce bony components~~ of ~~meat.~~<br><br>~~The Chef Knife, the biggest,~~ is ~~wide and measures in between 8” to 10” and is employed for the majority of slicing substantial, solid solutions such~~ as ~~potatoes, steaks, pineapples, turnips, cabbage, etc~~. ~~The Paring Knife is probably the most employed, measuring amongst two ½” and 4”~~. ~~It is best for peeling, coring, and slicing fruits and vegetables and common all about slicing demands~~. ~~A paring knife with a sharp edge makes slicing tomatoes a pleasure~~.<br><br>~~Sur La Table has 3 areas - in Northwest, Lake Oswego and Tigard~~ (~~particulars right here~~ ) and they sharpen every thing except serrated, ceramic and Cutco brand knives It is a subsequent-day service Monday to Thursday, and if you take in a knife more than the weekend it will typically be ready on Monday. This Most effective Selling - Wusthof Grand Prix Ii 2-piece Starter Knife Set Tends to SELL OUT Pretty Fast! ~~Wusthof Grand Prix II two-Piece Starter Knife Set.~~<br><br>~~Just ignore all these appealing total~~ (~~10 or more blades!~~) chef's knife sets conveniently sold in a knife block and all just for $29.99…it's low-cost junk, it does not function efficiently, you are pretty much absolutely going to slice your self applying it, it will not hold an edge, but it will certainly forever slow down your progress. ~~You will not need 10 kitchen knives anyways…a chef's cutting knife will do all~~ of it.<br><br>~~You do not have to worry about shopping for a different set again~~. ~~Just possessing these knives in your kitchen provides a good impression of~~ the ~~chef~~. ~~Ginsu knives do reside up to its reputation of getting a excellent knife set~~. ~~I advocate that you sharpen your Gingsu knife periodically~~. ~~Some men and women have claimed that their Ginsu knife felt cheap and didn't work as advertised~~. ~~I did not know about the history of the Ginsu knife~~ - ~~now I know!~~		In [[chemical graph theory]], the '''Estrada index''' is a [[topological index]] of [[protein folding]]. The index was first defined by [[Ernesto Estrada]] as a measure of the degree of folding of a protein,<ref>{{cite journal\|first1=E. \|last1=Estrada\| journal=Chem. Phys. Lett. \|number=319 \|page=713 \|year=2000\|doi=10.1016/S0009-2614(00)00158-5\|title=Characterization of 3D molecular structure}}</ref> which is represented as a path-graph weighted by the dihedral or [[torsional angle]]s of the protein backbone. This index of degree of folding has found multiple applications in the study of protein functions and [[protein-ligand interaction]]s.

			The name of this index as the “Estrada index” was proposed by de la Peña et al. in 2007.<ref>{{cite journal\|first1=J. A.\|last1= de la Peña\|first2=I.\|last2=Gutman\|first3=J. \|last3=Rada\|journal=Linear Algebra Appl. \|volume=427\|year=2007\|pages=70–76\|doi=10.1016/j.laa.2007.06.020}}</ref>

			==Derivation==

			Let <math>G=(V,E)</math> be a graph of size<math>\|V\|=n</math> and let <math>\lambda _1 \geq \lambda _2 \geq ... \geq \lambda _n</math> be a non-increasing ordering of the eigenvalues of its adjacency matrix <math>A</math> . The Estrada index is defined as

			<math>EE(G)=\sum_{j=1}^n e^{\lambda _j}</math>

			For a general graph the index can be obtained as the sum of the subgraph centralities of all nodes in the graph. The subgraph centrality of node <math>i</math> is defined as<ref name="Estrada">{{cite journal\|first1=E. \|last1=Estrada \|first2=J.A. \|last2= Rodríguez-Velázquez \|journal=Phys. Rev. E \|volume= 71 \|number=5 \|page= 056103 \|year=2005\|doi=10.1103/PhysRevE.71.056103\|title=Subgraph centrality in complex networks}}</ref>

			<math>EE(i)=\sum_{k=0}^{\infty} \frac{(A^k)_{ii}} {k!}</math>

			The subgraph centrality has the following closed form<ref name="Estrada"/>

			<math>EE(i)=(e^A)_{ii}=\sum_{j=1}^{n}[\varphi(i)]^2 e^{\lambda _j}</math>

			where <math>\varphi _j (i)</math> is the <math>i</math> th entry of the <math>j</math>th eigenvector associated with the eigenvalue <math>\lambda _j</math> . It is straightforward to realise that<ref name="Estrada"/>

			<math>EE(G)=tr(e^A) </math>

			==References==
			{{reflist}}
			*{{cite journal
			\|first1=Bo
			\|last1=Zhou
			\|first2=Ivan
			\|last2=Gutman
			\|doi=10.2298/AADM0902371Z
			\|title=More on the Laplacian Estrada Index
			\|year=2009
			\|volume=3
			\|number=2
			\|pages=371–378
			\|journal=Applic. Anal. Discr. Math.
			}}

			[[Category:Mathematical chemistry]]
			[[Category:Cheminformatics]]
			[[Category:Graph invariants]]


			{{theoretical-chem-stub}}

en>Tobias Bergemann: /* Examples */ Disambiguate ring to ring (mathematics)

2011-02-20T09:50:07Z

Examples: Disambiguate ring to ring (mathematics)

New page

I was not injured, but knives became my least favored tool for a a though thereafter. If you have any sort of concerns regarding where and ways to make use of [http://www.thebestkitchenknivesreviews.com/best-chef-knives-reviews/ Best Chef Knife In Japan], you can contact us at our internet site. Thunder Group JAS010055B 7" Angle Knife is a preferent choose us And I Lately firmly can't assist but propose it. With the international world class criteria , so taking in this solution a posh or even having said that lengthy lasting Some individuals like at present the Thunder Group JAS010055B 7" Angle Knife as a lot of variations of colourings, characters , stuffs. I cannot consider trying to prepare meals with no a decent set of knives. When you have researched all of this, and you nonetheless come to the conclusion that you would like to be a chef then there are numerous routes that you can take into the profession. Very first off, the straightforward truth is that there is no single "best chef's knife." Each chef is built differently and the trick is in locating the one knife that feels correct in your hand. This knife ought to be sharp and it ought to be pretty very simple to preserve it sharp. A chef's knife is an all-purpose knife. In the succeeding paragraphs, the leading four recommendation for forged and embossed ideal knife guide and their concise descriptions are supplied for your consideration. In the identical token, every kitchen knife has a different price tag and benefit. In totality, there are a lot of good kitchen knife brands to pick from that incorporate Rachael Ray, Forschner Victorinox, Henckels, Chicago Cutlery, International, Wusthof, Ginsu and a lot of far more. Tangs are the portion of the knife that extend into the manage. At around 200 deg. Dojosaki Bocho- This knife has been specially developed for filleting fishes, particularly the sea eel and other small fishes that are caught through the summer time. Santoku knife- This Japanese chef knife comes with a scalloped edge and is ideally suited for scalloping numerous sorts of meats and fishes. The frequent length of the chef knife is 8 to 12 inches. Most chef handles are created from wood, but wood does have specific difficulties. I got my wife a Wusthof set for Christmas. Hold the knife manage firmly and drive the point of the knife into the wood at least 1/2 to three/four inch deep if feasible. Apply pressure to the wide side of the knife blade to identify if the tip of the blade will rip by way of the wood or bend. Carry out any other cutting tasks to which the knife may perhaps be subjected primarily based on individual use. The 3 knives - paring knife, utility knife and chef's Santuko knife - will execute any job you want. Cleaver knife - utilized to reduce bony components of meat. The Chef Knife, the biggest, is wide and measures in between 8” to 10” and is employed for the majority of slicing substantial, solid solutions such as potatoes, steaks, pineapples, turnips, cabbage, etc. The Paring Knife is probably the most employed, measuring amongst two ½” and 4”. It is best for peeling, coring, and slicing fruits and vegetables and common all about slicing demands. A paring knife with a sharp edge makes slicing tomatoes a pleasure. Sur La Table has 3 areas - in Northwest, Lake Oswego and Tigard (particulars right here ) and they sharpen every thing except serrated, ceramic and Cutco brand knives It is a subsequent-day service Monday to Thursday, and if you take in a knife more than the weekend it will typically be ready on Monday. This Most effective Selling - Wusthof Grand Prix Ii 2-piece Starter Knife Set Tends to SELL OUT Pretty Fast! Wusthof Grand Prix II two-Piece Starter Knife Set. Just ignore all these appealing total (10 or more blades!) chef's knife sets conveniently sold in a knife block and all just for $29.99…it's low-cost junk, it does not function efficiently, you are pretty much absolutely going to slice your self applying it, it will not hold an edge, but it will certainly forever slow down your progress. You will not need 10 kitchen knives anyways…a chef's cutting knife will do all of it. You do not have to worry about shopping for a different set again. Just possessing these knives in your kitchen provides a good impression of the chef. Ginsu knives do reside up to its reputation of getting a excellent knife set. I advocate that you sharpen your Gingsu knife periodically. Some men and women have claimed that their Ginsu knife felt cheap and didn't work as advertised. I did not know about the history of the Ginsu knife - now I know!