W2 2005: Fill & Download for Free

Quadruple bonds, quintuple bonds, and even sextuple chemical bonds exist.Quadruple bonds are rarer than single, double and triple bonds but occur amongst the transition metals especially for Cr, Mo, W, & Re. Eg [Mo2Cl8]4- and [Re2Cl8]2- . In the terminology of molecular orbital theory the bonding is described as sigma2pi4delta2.Chromium II acetate was the first chemical containing a quadruple bond to be synthesised. It was described in 1844 by E. Peligot, but it's distinctive bonding was not recognised for over 100 years.Many other compounds containing Quadruple bonds between transition metals have been described; often by Cotton and coworkers.​​​​​​Quadruple bonds between atoms of main group elements are unknown. However a very recent paper by S. Shaik et.al. ( Nature Chemistry 4 ( 2012 ) pp195 - 200 ) proposes that a quadruple bond exists in diatonic carbon, C2.​​​​​​​A chemical compound containing the quintuple bond was first reported in 2005 for a dichromium compound.​​​​​​​​​Several quintuple bonded compounds have been reported since that time ( 2005 ); the metal - metal bond usually stabilised within a complex.The quintuple bond may be described as a Sigma2pi4delta4 10 electron bond between two metal centres.Quintuple bonded complexes are usually achieved by the reduction of a bimetallic species with potassium graphite, KC8.A Sextuple chemical bond is a covalent chemical bond involving 12 bonding electrons. To date this type of bonding is only known to occur in gaseous Mo2, and W2.There is strong evidence in believing that no two elements in the periodic table below about atomic number 100 can form bonding orders above 6 ( See Roos,B.O, et.al, ( 2007),Angewandte Chemie International Edition 46 (9), 1469 - 72 ).

This problem is similar to -What is the minimum number of weights required to be able to use a weighing balance for weighing any substance less than x kg, such that you can place the weights on any side of the weighing scale.So before we delve into the solution, let us imagine if we were restricted to keeping the weights only on one pan. To create different weights we would need -1 kg - *Use a new 1 kg weight.  2 kg - *Use a new 2 kg weight. 3 kg - Use the previous (1+2) kg. 4 kg - *Use a new 4 kg weight. 5 kg - Use the previous (4+1) kg. 6 kg - Use the previous (4+2) kg. 7 kg - Use the previous (4+2+1) kg. 8 kg - *Use a new 4 kg weight. You can see a pattern here. You need a new weight at every [math]2^n[/math] kg.So now moving on to the actual question.When you have the freedom to place weights on both the pans, you can subtract two weights to get a new weight. So effectively you can create a 2 kg difference by placing a (+) 3 kg weight on one pan and a (-) 1 kg weight on another. So to create different weights you would need-1 kg - *Use a new 1 kg weight.  2 kg - Use the (3-1) kg. 3 kg - *Use a new 3 kg weight. 4 kg - Use the (3+1) kg. 5 kg - Use the (9-3-1) kg. 6 kg - Use the (9-3) kg. 7 kg - Use the (9+1-3) kg. 8 kg - Use the (9-1) kg. 9 kg - *Use a new 9 kg weight. The pattern that you can see here is that you need a new weight at every [math]3^n[/math] kg.Now that you have understood the concept, let’s take a look at your problem.Given, [math]w1,w2,w3,w4,w5,w6 [/math]&[math] w7[/math] can form all number of wickets taken up to [math]1093[/math]. So,[math]w1 = 1 (3^0),[/math] [math]w2[/math][math] = 3 (3^1),[/math][math]w3 = 9 (3^2), [/math] [math]w4 = 27 (3^3), [/math] [math]w5 = 81 (3^4), [/math] [math]w6 = 243 (3^5) [/math]&[math] [/math] [math]w7 = 729 (3^6)[/math] .So, [math]W1+2*W2+3*W3+4*W4+5*W5+6*W6 [/math][math]= 1 + 4 + 9 + 108 + 405 + 1458 [/math] [math]= [/math][math]2005[/math][math][/math][math].[/math]Hope this answers your query. :)

The cost of living has grown exponentially whereas salaries have hardly changed.Bank managers get paid £21k. 20 years ago that was not exactly luxurious, but that is very grim with prices where they are at today.These days a studio flat in zone 4 could cost that in rent.The root problem is housing inflation, which started to get ridiculous around 2005. At this point rents and house prices are truly absurd.3 bedroom house in W2? £361,000 per annum. RENT.Mental.