Onboard Note

In "The Adventure of the Speckled Band," Julia is the deceased sister of Helen Stoner, a lady who seeks the help of Sherlock and Dr. Watson. Julia was killed at the family home just a few weeks before her wedding day and, in her last moment, cried out about the speckled band: 'Oh, my God! Helen! It was the band! The speckled band!' As Helen did not understand what she meant by this phrase, Julia tried to explain with a physical gesture: "She stabbed with her finger into the air in the direction of the doctor's room." Unfortunately, Helen still did not understand and Julia could not explain any further because she experienced a convulsion, fell unconscious and then died. It takes the help of Sherlock Holmes to finally unravel the mystery of the speckled band and to reveal that it was, in fact, a poisonous snake which accessed Julia's room through a ventilator hole.

This problem is much more difficult. Let's try to solve it. First, assume temporarily that two "i" letters are different, call them i_1 and i_2. Also call three "a" as a_1, a_2 and a_3, and two h as h_1 and h_2. Then there are 11*10*9*8*7 = 55440 possible "words" (the first letter is any of 11, the second is any of 10 and so on). But because equal letters actually make the same "words", some "words" was counted twice or more times. We have to subtract the number of "parasitic" counts although it is relatively small. The words that counted more than once are divided into several disjoint sets:1) with two i's but without repetitions of a and h;2) with two h's but without repetitions of a and i;3) with two a's but without repetitions of i and h;4) with three a's but without repetitions of i and h;5) with two i's and two a's;6) with two i's and tree a's;7) with two i's and two h's8) with...

The Franks and Van Daans begin the play wearing yellow Star of David badges with the word "Jude" (German for "Jew") printed in the middle. During the rise of Hitler's Third Reich, Jewish people in Nazi-occupied countries were required to wear these badges to mark that they were Jewish and should be treated differently. Jewish people had to affix these badges onto all of their clothes and would be penalized if they were caught not wearing the badges. As the Nazi party's control tightened, Jewish people were not allowed to go to spaces such as movie theaters, restaurants, stores, and public swimming pools. Business owners could see the Star of David badges and deny entry to any Jewish people trying to enter. The Franks and Van Daans are wearing these badges not only because it is historically accurate, but also because it shows us how dire the situation has become in Amsterdam and why they need to hide.

In the period 1600 to 1700, male Americans wore linen clothes, with cloaks and woolen stockings. Their female counterparts dressed in long, brightly colored clothes with hooded cloaks. Wealthy men wore black suits for church ceremonies and satin or velvet waistcoats on most occasions. Other common clothing for men included the breeches, straight loose coats, and large wigs. The dressing style of the American colonists of the seventeenth and eighteenth centuries was similar to, but slightly behind, that of the rest of Europe. In Britain, the second half of the seventeenth century was characterized by huge imports of different kinds of fabric and dyes from various parts of the world. This meant that women had a wide selection of fabrics and accessories to choose from. Cloth items such as muffs, hoods, and face masks were very popular among the womenfolk. In the 1690s, elaborate top-knot hairstyles were also fashionable. Other popular clothes for women were the closed and open dress. In o...

Canada's role during World War II was closely tied to Britain.  Canada is part of the British Commonwealth.  At the start of the war, Canada had less than 10,000 active military forces, and about 50,000 men who served in the reserves.  The British military had over 200,000 soldiers.  In 1939, Britain was threatened due to its proximity to Germany.  Canada seemed separated because of the expanse of the Atlantic Ocean.  This eventually changed as German submarines began moving into Canadian waters as the war went on. By the time the war was over, Canada's military had grown substantially.  Canada even served as a training location for Allied pilots.  The Nova Scotian city of Halifax was an important location for warships and military bases.  Over one million Canadians served in the military during the war, and their efforts helped the Allied powers in their fight against the Axis powers. On the home front, manufacturing in Canada helped to provide much needed supplies to Europe. ...

To determine if the series sum_(n=1)^oo ln((n+1)/n) converges or diverges, we may apply the Direct Comparison Test. Direct Comparison test is applicable when sum a_n and sum b_n are both positive series for all n where a_n lt=b_n . If sum b_n converges thensum a_n converges. If sum a_n diverges so does the sum b_n diverges. For the given series sum_(n=1)^oo ln((n+1)/n) , we let b_n= ln((n+1)/n) .   Let a_n= ln(1/n) since  ln(1/n) lt= ln((n+1)/n) . To evaluate if the series sum_(n=1)^oo ln(1/n) converges or diverges, we may apply Divergence test: lim_(n-gtoo) a_n !=0 or does not exist then the series sum a_n diverges  We set-up the limit as: lim_(n-gtoo)ln(1/n) =lim_(n-gtoo)ln(n^(-1))                           = (-1)lim_(n-gtoo) ln(n)                           = -oo With the limit value L =-oo , it satisfy lim_(n-gtoo) a_n !=0 . Thus, the series sum_(n=1)^oo ln(1/n) diverges       Conclusion based from Direct Comparison test: The seriessum_(n=1)^oo a_n = sum_(n=1)^oo ln(1/n)  diverges t...

Ms. Sullivan repeated what others said to Helen and made suggestions when she had nothing to say. When Helen Keller was a toddler, a serious illness took her sight and hearing and almost took her life. As a result, she never really learned to communicate with words until she met Anne Sullivan. She was aware that she was different from hearing people, and would observe their conversations with her remaining senses, frustrated because she could not take part. I had noticed that my mother and my friends did not use signs as I did when they wanted anything done, but talked with their mouths. Sometimes I stood between two persons who were conversing and touched their lips. I could not understand, and was vexed. (Ch. 2) When Anne Sullivan came, she was able to teach Helen language. Of course, it was not the language of hearing people. Helen had the other problem of not being able to see, which is useful for sign language. She had to have signs spelled into her hand. Anne Sullivan realized th...