Analysis of electric propulsion electrical power conditioning component technology. Volume 1 - Data bank Final report

Analysis of electric propulsion electric power conditioning component technology - data revie

Analysis of electric propulsion electrical power conditioning component technology, volume 2 Final report

Large solar arrays to provide power for electric propulsion engine for Mars mapper spacecraf

Recurrence relations for patterns of type (2,1)(2,1) in flattened permutations

We consider the problem of counting the occurrences of patterns of the form $xy-z$ within flattened permutations of a given length. Using symmetric functions, we find recurrence relations satisfied by the distributions on $\mathcal{S}_n$ for the patterns 12-3, 21-3, 23-1 and 32-1, and develop a unified approach to obtain explicit formulas. By these recurrences, we are able to determine simple closed form expressions for the number of permutations that, when flattened, avoid one of these patterns as well as expressions for the average number of occurrences. In particular, we find that the average number of 23-1 patterns and the average number of 32-1 patterns in $\text{Flatten}(\pi)$, taken over all permutations $\pi$ of the same length, are equal, as are the number of permutations avoiding either of these patterns. We also find that the average number of 21-3 patterns in $\text{Flatten}(\pi)$ over all $\pi$ is the same as it is for 31-2 patterns.Comment: 19 pages. Final version will be published in Journal of Difference Equations and Application

GRATUITOUS PROMISES-A NEW WRIT?

Under the early common law, the fact situations which presented actionable wrongs were limited in number and stereotyped into various writs which issued from the Lord Chancellor. Only as new writs were devised by him was it possible for new fact situations to achieve the dignity of justiciability and so raise legal rights and duties. But with the liberalization of pleading the recognition of new legal rights and duties became a judicial function. In consequence, the constant struggle of new fact patterns for a place in the law is now principally waged before the courts. In this struggle some fail, others succeed, and with those which emerge victorious there appears appurtenant adjective law, remedies and rules of damages calculated to place on the culpable party the burden of responsibility for the consequences of his violation of duty

Creditors\u27 Rights

Covers laws on nurserymen, seed, sprayers and dusters, and statutory liens and on liens for taxes

Donee Beneficiaries—Deckler v. Fowler

A and B contract, A promising B to render at a future date some performance to C. What are the legal relations between A and C? B and C? A hundred years ago the answers to these questions would have required consideration of something called privity of contract and might well have been no legal relations . Today, however, we can, on the basis of many decisions, say with certainty that in most states A owes a contract duty to C on breach of which C may have the usual remedies of a contract obligee. In now accepted terminology C is a beneficiary of the A-B contract. The legal relations between B and C will vary according to B\u27s purpose in procuring A\u27s promise. If his purpose was to confer upon C a gratuity, C will be described as a donee beneficiary and B is a donor of the right which C acquires against A. If B\u27s purpose was to have rendered to C a performance which will discharge a duty owed by B to C, although in a sense the recipient of a gratuity, C is usually referred to as a creditor beneficiary and for some purposes the previously existing debtor-creditor relationship between B and C is changed to one of surety-creditor, A being regarded as now the principal debtor. The following discussion will be limited to donee beneficiaries