The purpose of our paper is to apply the state progress checklist from direct outcomes theory to a new domain of the university-to-work transition to mediate a dyadic win-win relationship between university careers advisors and graduate recruiters. The state progress checklist incorporates three endeavour elements - (i) potential, (ii) agendas, and (iii) effects; and nine themes - (i) resources, (ii) motivations, (iii) interactions, (iv) assumptions, (v) scenarios, (vi) plans, (vii) actions, (viii) outcomes, and (ix) reuses. The endeavour elements and themes are systematically applied to help envision, pursue, and achieve mutually beneficial relationships between both parties. The application of direct outcomes theory as a mediator of the relationship between university careers services and graduate recruiters offers synergy effects for both parties and helps overcome pre-existing barriers to collaboration and communication. Our paper applies the state progress checklist from direct outcomes theory to a new domain of the university-to-work transition to bridge research agendas across the education, vocational behaviour, and human resource management literature. We identify opportunities for university careers services and graduate recruiters to foster a win-win relationship by aligning their objectives and through the provision and receiving of support. These benefits subsequently transcend additional stakeholders, including university students, universities, and organisations. Moreover, Appendix 1 provides a summary sheet offering some potential questions for each of the nine themes across the three endeavour elements. These example questions are not meant to be an exhaustive list. Their purpose is to act as a starting point for discussion and action. The university careers advisors and graduate recruiters could initially work through this sheet separately before working through the sheet a second time collaboratively.

The evaluation of Fermi‐Dirac integrals is discussed for cases in which the Sommerfeld method fails. Such cases occur when the integrand has a singularity at the Fermi surface and when the integrand is a rapidly oscillating function. As examples, the first‐order exchange integral for electrons and the free‐energy integral of the noninteracting electron gas in a magnetic field are evaluated. The method uses a contour‐integral representation of the Fermi function (previously mentioned by Dingle), supplemented by Mittag‐Leffler type expansions.

We suggest progress regarding the following six physics opportunities. List all elementary particles. Describe dark matter. Explain ratios of dark matter to ordinary matter. Explain eras in the history of the universe. Link properties of objects. Interrelate physics models. We use models based on Diophantine equations.

Chess is a warlike game descended from a long line of games with military overtones. However, many chess players feel that the element of complete information in chess is incompatible with a realistic model of war. Kriegspiel introduces an explicit element of incomplete information into chess without the use of a chance device. This is accomplished by screening each player's men from the opponent's view. Because the legality of a move in chess depends on the positions of all 32 men, neither player in a game of Kriegspiel can determine if a given move is legal. Thus a third participant is necessary. This third participant, the director§, enforces the rules of Kriegspiel, keeps a record of the game, and controls communications between the players. (In addition, the director controls the kibitzers, who are an important part of the Kriegspiel atmosphere.) These tasks are normally accomplished with a chess board, pencil and paper, and a commanding voice. This paper describes a pair of computer programs which act as director for Kriegspiel. The programs are implemented on a time-shared graphics-oriented computer. In this environment, a large portion of the director's task is communication, either between the players or between the director and one player. This aspect of the director is not intimately connected with Kriegspiel—the problems and solutions we discuss apply to many gaming situations. We have separated communications from the strictly rules-enforcing portion of the programs; communications are handled by the Kriegspiel monitor, which calls a referee subprogram when there are rules decisions to be made. The referee never communicates directly with the players. Kriegspiel has been the subject of at least one previous paper, Burger (1967), which describes a considerably more primitive director. The rules for Kriegspiel are not standardised, but there is a large measure of agreement on them. Both Harkness (1967) and Gollon (1968) give rules. A surge of Kriegspiel activity occurred within the scientific community after a memorandum by Williams (1950). We were encouraged to publish by an article of Bell (1970) which describes a referee for chess. Our referee in the Kriegspiel director is more powerful than that of Bell and may be used to control either chess or Kriegspiel. The details of the referee are described in a separate paper (Buckholtz and Wetherell, 1970).

Some elementary methods are described which may be used to calculate tangent numbers, Euler numbers, and Bernoulli numbers much more easily and rapidly on electronic computers than the traditional recurrence relations which have been used for over a century. These methods have been used to prepare an accompanying table which extends the existing tables of these numbers. Some theorems about the periodicity of the tangent numbers, which were suggested by the tables, are also proved.