Rotation-electronic interaction in the 3p-complex Rydberg state of water

An energy theory is formulated for the rotational energy levels in a p-complex Rydberg state of an asymmetric top molecule of symmetry C2v. The effective Hamiltonian used consists of the usual rigid rotor Hamiltonian augmented with terms representing electronic spin and orbital angular momentum effects. Criteria for assigning symmetry species to the rotational energy levels, following Houganfs scheme that uses the full molecular group,are established and given in the form of a table. This is particularly suitable when eigenvectors are calculated on a digital computer. Also, an intensity theory for transitions to the Rydberg p-complex singlet states is presented and selection rules in terms of symmetry species of energy states are established. Finally, applications to HpO and DpO are given.

Response curves of deterministic and probabilistic cellular automata in one and two dimensions

One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.

Letter - American soldier's account of battles at Chippewa, Lundy's Lane and Fort Erie, 1814

Transcript (original grammar and spelling retained): My dear wife I take this time to inform you that I am well hoping that these few lines will Reach you and find you the same I shall in form you of all our Battles that we have had sence I left home we crossed in to Canada the 2 day of July and took fort Erie on the 3 day of July without loss of one man. We then marched down to Chipway eighteen miles below the Fort Erie we got there on the forth day and had our first battle on the 5 day our loss was not jistly known But the inemy loss was double to ours. The 6 day we started with the 2 Brigade to make a bridge a crost the crick two miles a bove the fort in Building the Bridge the inemy Brought up their Canon and playd upon us with their artiliery a bout two hours We drove them from the fort our loss was none the inemy loss was nineteen ciled dead on the ground we then marched to Queenston when we got thare our inemy had fledfrom the fort we then remained thair to Queenston ten days then we marched down to Fort George But that caurdly Chaney did not a rive with the fleet so we had to return back to Queenston thare was a bout six hundred militia formed on the heights of land thay fired up on us from their pickets and retreated to the mane body our flankers ciled and wounded and took about twenty before they got to the Maine body we then marched up the hill they gave us two firs but did not damage and then retreated from the field we stayed there one knight and then marched to Chipway and stayed there one night and the next day just as the sun set the first Brigade marched up in order to give them Battle a bout two miles from the Crick and began the Battle the 2 Brigade has to March up to the Niagara path and ingaged them we charged up on their artlery and took all their Canon Miller commanded the four companys that charged....the battles lasted three hours and forty minutes our loss was about 8 hundred cild and wounded our inemies loss was a bout fourteen hundred cild and wounded the next morning we Marched up in order to give them Battle a gin but thay was afraid to ingage us we then marched to Fort Erie and went to fortiffing and made a strong place the inemy folered us up and Began to cananade and held it fifty three days thay a tacked the fort the fifteenth of august thay atacked a bout one hiour be fore day Light we saw them and Blue up our maggerzean & two hundred of our inemy our loss wasa bout forty cild and wounded and our inemy loss was a bout one thousand on the 7 Day of September we atacked them and took their batteries and Broke all their canon and drove them from the field our loss was a Bout two hundred cild and wounded our inemy loss was a Bout 8 hundred cild and wounded...we crossed in to Canada with five thousand and came out with fifteen hundred we then Marched to Sackett’s harbor....am well and harty for the present....a bout comming home it uncarting for there is not any....given this winter as yet But I shall try to Come home if I Can But if I Cant I want you should take good car of the Phiddness[?] I have not Received any Money as yet But soon as I do receive some I send some home. I want you should write to me as soon as you receive this and and how Much Stock you wintor I Received your Letter with Great pleasure I feel uneasy a bout you I am a frade that you are sick or dead this is from your husband Chase Clough

Accounting for Human Rights Violations Risk: Conflict Minerals Mandatory Disclosures under the Dodd Frank Act

This paper examines the equity market response to firms’ disclosure of human rights violation risk with regard to conflict mineral usage as required by Section 1502 of the Dodd-Frank Act (the Act). This paper assesses the aggregate equity market response to regulatory events leading to the passage of the Act, the equity market reaction to voluntary early disclosures and mandatory disclosures of conflict mineral information in Form SD, as well as the determinants of the equity market response. Using a sample of 4,399 US registrants from January 1, 2008 to September 30, 2014, we document a significant negative stock market reaction to the passage of the Act and to conflict minerals disclosures on Form SD. The equity market reaction is more negative and limited to companies that source their minerals from conflict zones, companies with human rights violations, and companies with ambiguous disclosures. Taken together, the results of this study provide an economic justification for companies with poor conflict minerals practices to improve in order to avoid high costs that will arise if firms are forced to disclose human rights abuses. This paper also provides preliminary evidence that Form SD is successful in reducing the governance gap that exposes investors to unnecessary sanction, litigation and reputation risk from firms’ activities in conflict minerals usage.