The Gifts of the Body the patients and the caregiver. The book contains ten short stories, the titles of each being associated with "gifts" which are various functions of the body, both physical and emotional: sweat, wholeness, tears, skin, hunger, mobility, death, speech, sight, hope, and mourning. The caregiver experiences each "gift", as he/she deals with patients who have AIDS, showing the different shared relationships in each case. Each patient is a distinct case, differing in terms of age, financial situation, attitude toward the illness etc., showing the reader that this disease affects all types of people. The book is written in the "no-frills style"
Proof that e is irrational numbers. Still another proof can be obtained from the fact that Define formula_11 as follows: Then: which implies: for any integer formula_15 Note that formula_16 is always an integer. Assume formula_17 is rational, so, formula_18 where formula_19 are co-prime and formula_20 It's possible to appropriately choose formula_21 so that formula_22 is an integer i.e. formula_23 Hence, for this choice, the difference between formula_22 and formula_16 would be an integer. But from the above inequality, that's impossible.So, formula_17 is irrational. This means that formula_27 is irrational. In 1840, Liouville published a proof of the fact that "e" is irrational followed by