![]() We begin by following the works of Hohenberg and Kohn 1 1. The successive augmentation of the basis set in the BZW-EF method, needed for the application of the Rayleigh theorem, is also necessary in the search for the absolute minima of the occupied energies, in practice. Discussions, including implications of the method, and a short conclusion follow the description of the method. This application of the Rayleigh theorem adds to or completes DFT, in practice, to preserve the physical content of unoccupied, low energy levels. Our subsequent description of the BZW-EF method ends with the application of the Rayleigh theorem in the selection, among the several calculations the method requires, of the one whose results have a full, physics content ascribed to DFT. Further, we note predictions of DFT BZW-EF calculations that have been confirmed by experiment. These minima are one of the reasons for the agreement between their results and corresponding, experimental ones for the band gap and a host of other properties. Unlike the former, the latter calculations verifiably attain the absolute minima of the occupied energies, as required by DFT. Dfo flauncher phyattack or strength or independent trial#We then illustrate significant differences between the results from self consistent calculations using single trial basis sets and those from computations following the Bagayoko, Zhao, and Williams (BZW) method, as enhanced by Ekuma and Franklin (BZW-EF). We note the well-established failures of many DFT and LDA calculations to reproduce the measured energy gaps of finite systems and band gaps of semiconductors and insulators. We then articulate an understanding of DFT and LDA that seems to be ignored in the literature. We review some salient points in the derivation of density functional theory (DFT) and of the local density approximation (LDA) of it. ![]()
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![]() One of the most fun spaces to land on, this is an action everyone is involved in. It is worth money at the end of the game. Once read out, carry out the instructions on the card. When you land on one of these, pick up an Action Card from the top of the deck and read it aloud. Action SpacesĪction spaces are yellow spaces with a yellow ring on them. If you land on the space then good job, you get 100k bonus in addition to your salary. Payday spaces are green and if you pass over them then you receive the salary marked on your career card or college career card. But before you begin it is a good idea to have a look at the different spaces you might land on. Spin the spinner and move the number that the spinner lands on. Your goal now is to reach retirement, enjoy your life. You have already chosen a College or Career path so place your car on the first square of that path. OK, so you are set up and ready to begin. Tell everyone your backstory, hopes and aspirations and you are ready to start. That is now your job and you can discard the other one to the bottom of the deck. The career route will get income quicker in fact pick the top two cards from the career deck and choose one. The college route will require you to pay 100K in tuition fees but you may get a better paying job. Are they going to choose college or go out and get a job? Now each player must make their first choice of the game. If someone runs out of cash then the banker will provide a bank loan. If someone lands on or goes past a payday square then the banker will pay their wages from the bank. They are responsible for managing payments to and from the bank. Nominate one of the players to be the banker. Now separate the five decks of cards into their respective piles and place them near the board. You can use an emery board or fine sandpaper to remove any spurs left on the pegs. I am assuming that you have successfully installed the spinner on the board and removed the pegs from their plastic frames. ![]() ![]()
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