By Nnedi Okorafor
Twelve-year-old Sunny lives in Nigeria, yet she was once born American. Her positive factors are African, yet she's albino. She's an awesome athlete, yet can't exit into the sunlight to play football. There appears to be like no position the place she suits. after which she discovers whatever outstanding - she is a "free agent," with latent magical strength. quickly she's a part of a quartet of magic scholars, learning the seen and invisible, studying to alter fact. yet will it's adequate to assist them once they are requested to capture a occupation legal who is familiar with magic too?
Age point: 12 and up | Grade point: 6 and up
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Additional resources for Akata Witch
After turning two, these four possibilities become: up, up down, up up, down down, down. In the middle two cases, the up-down pattern hasn’t changed, so the statement holds after turning two if it held at the start. In the first case, the odd positions and the even positions each have one more up card. Since the numbers of face-ups in even and odd positions were equal before we turned two, they are equal after. The same argument works in the last case. This covers all cases and proves the theorem.
Look at the first two cards. Figure 19. Neither card is in the flush Figure 20. Turning the second card Figure 21. Second card is turned over Figure 22. Pair is placed on the table 1. If neither one is in the royal flush, leave the first card faceup and flip the second card face-down, keeping both in their original position (you may use the first card to flip over the second one). Figure 23. Only the first card is in the flush Figure 24. First card is turned over Figure 25. Second card is also turned over, with the cards kept in order Figure 26.
COROLLARY 1. The number of achievable arrangements for a deck of 2n cards after Hummer shuffling is 2 × (2n)!. REMARK. In mathematical language, the set of all achievable arrangements of 2n cards after Hummer shuffling forms a group. COROLLARY 2. ) After any number of Hummer shuffles, the number of face-up cards at even positions equals the number of face-up cards at odd positions. Thus, if the even cards are removed and turned over, the total number of face-up cards is n. PROOF: Consider the cards at even positions.