What is the closed-form expression for the below sum of Geometric Progression (GP) sequence‚ S n ? S n a aR aR 2 ... aR n (1) where R is called the common ratio (between consecutive terms) of the GP sequence. The reason why we want to derive a closed-form expression for S n is for the sake of calculating the summation‚ or otherwise we need to add all terms one-by-one together‚ which does not make a sense if the number of terms is huge‚ say a million terms! Most importantly
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width (in m) Obert-Duvall/Wang Formula (Obert and Duvall‚ 1967) It was derived from laboratory tests on hard rock and elasticity considerations the same relationship as did Bunting in 1911. Greenwald et al. (1939) mention that this form of an expression for pillar strength was proposed in 1900 for anthracite after laboratory tests made for the Scranton Engineers Club. This formula is given as Where σp is pillar strength‚ σ1 is uniaxial compressive strength of a
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Michael C. Pintard distinctively writes his poems in an interpretive style. His style affects his readers by allowing them to contemplate on the true reason and meaning of the words‚ phrases and or expressions used in his poems. An example of his interpretive style is seen in one of his poems titled ¨Steel Boot Action Whup¨! ‚ where as he uses his poetry skills and diction to generate phrases and made up vocabulary to emphasize his point on the matter. The tone detected in the poem ¨Steel Boot Action
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loop functions involved in an algorithm it is going to take a larger amount of time. This comparison can be also called as the Growth Rates of the value N in an algorithm. The N value in the algorithm can be of any mathematical expression depending on the mathematical expression the Growth Rates vary. Growth rates or functions in the Big-O-Notation: 1. 1………Constant 2. Log(n)……..Logarithmic 3.N……..Linear 4.NLog(n) 5.
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Lucas Lindsey Mr. Mazhawidza Mircobes to Society 118 Gene Expression [pic] By definition of dictionary.com gene is defined as the basic physical unit of heredity. a gene is a linear sequence of nucleotides that makes part of a segment called DNA. Deoxyribonucleic acid (DNA) is a nucleic acid that contains genetic codes in the development and functioning of all known living organisms. DNA provides a a linear sequence of nucleotides along a segment of DNA that provides very important
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or her. Sometimes it is expressed or said because you like something so much. For example: a song‚ a dance‚ a band‚ a piece of clothing‚ a book‚ a movie or merely a celebrity. Millions and millions of songs and books are written about it. This expression is mostly used by “fan girls” to show their uttermost support to that famous boyband or famous person they adore. Usually‚ you’re loved ones which is your family and friends‚ often shows this to you. In my opinion‚ I strongly feel this emotion
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folks‚ he is persuaded to fight a group of kids of the same age. He is defeated in the fight‚ yet he goes on to make his speech in front of the crowd. His persistence to give his speech in front of people after he lost in a fight conveys Ellison’s expression of appointing identity to his main character. From reading this story‚ I sensed a major theme of representing one’s self as an individual opposed to giving into what society wants you to do. This idea is apparent in the personality of the narrator
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Emotional Expression Emotional expression is most commonly known by the attitudes people have and the facial expressions they carry in certain situations. You can easily tell if someone is mad‚ upset‚ happy‚ or uncomfortable in a given situation. Whether most people realize it or not‚ their faces can be read like a book. Most of the time‚ you can look at someone and see their opinion on an issue without having to actually ask them what they think or how they feel. This is very helpful in most
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The Eagle/Winter 1. The expressions are peculiarly effective to help give off the tone‚ image‚ and feeling of the poem. From the expressions like “crooked hands”‚ “close to the sun”‚ and “ringed with the azure world”‚ it shows the meaning of the poem with lots of imagery. It helps to reader to imagine and fully understand the poem. Like azure means blue so “ringed with the azure world” would mean the eagle flying across the clear blue sky. An expression like “like a thunderbolt” helps show the
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after he made what many found to be offensive remarks toward an ethnic group. Looking at these situations it makes me ponder whether should there be limits to freedom of expression. I strongly believe that there should me limits to anything especially to the freedom of expressions. There should be limits to freedom of expression because we have to respect others. It is indeed undeniable that everyone has the right to speak what it is on their mind. However upon spewing out words on something the
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