If Division by Zero Were Allowed Essay Example for Free

If Division by Zero Were Allowed Essay Division is a basic mathematical operation by which we divide a number called dividend by another number called the divisor. This division functions is very simple and is the base of many complex mathematical functions. But there’s a very simple division which is indefinable, and that is the division of a number by zero, which is indefinable. We have been studying through out student life that division of a number is indefinable (infinite). But still if division by zero were allowed than what kind of impacts it would have on our daily lives and surroundings? If this were allowed it would open new breakthroughs in the realm of science, and also at the same time start many confusions and errors. The world of science and technology would be going under a serious and altering change, having deep impact on almost anything related to these fields. Impact on Mathematics: Mathematics revolves around its basic operations, addition, subtraction, multiplication and division. All complex and simple mathematical operations include the above basic operations. With out them solution would not be possible. It has been ruled out that division of a number by zero is indefinable (infinite). By infinite we mean that it cannot be defined Let us suppose if we temporarily allow this what kind of possibilities what would we get? Let’s take a simple example in which we take the following case. Let us consider the following equations, A/B = C We can consider A = 9 B = 0 Then the above equation can be written as, 9/0 = C If we consider division by zero as possible then we can make the following changes, 9 = 0*C 9 = 0 Now from the above example we have just considered the possibility that a number can be divided by zero and taking this hypothesis we moved forward with its testing, but in the end a very baffling result is achieved: 9 = 0 This is not possible because the number 9 is something substantial and an amount which cannot be nullified in an instant. Hence this proves that whenever a there’s division by zero there will always be an anomaly, and so it can be inferred that the answer given will always be impossible. Impacts on Technology: Our technologically advanced world is based on computer technology. The computer contains an Arithmetic Logic Unit (ALU). This unit handles all the mathematical operations performed in a computer. Even the computer programs are based on these operations. Computers can’t divide anything by zero, because they have been programmed not to do so. So if a computer were ever to divide something by zero we would be in big trouble keeping in view the original programming of the computers. Just imagine this possibility, world wide computer crashes would occur. Chaos would spread by the loss of data. Planes, satellites, appliances would not work. Imagine what kind of life would be there. Navigational equipment might not work properly which could lead to many disasters like airplane crashes, accidents. This has happened before when On September 21, 1997, a divide by zero error in the USS Yorktown caused all the computer system on the ship to malfunction and the boat stopped in the middle of an ocean . In the present situation of our technological development, we are dependent on our computers and other such gadgets so a loss of them would be a major blow overall. Impacts on Physics: When we study physics we may get many laws and mathematical theories in which division of a quantity with the other is made. In all these laws whenever we face a problem of division of a physical quantity with zero, we always infer it as infinite. If this zero division would be made possible the current laws would be changed as to impossible to exist in actual. We take an example of Density. Mathematically, D = m/v (Density D, mass m, volume v) We assume that volume (v) goes to zero, D = m/0 If this division is possible we can write above as, D*0 = m This would give, 0 = m This is not possible as per Law of Conservation of Mass, which states matter can neither be created nor destroyed. Again it was seen that division by zero is ambiguous and if allowed it would lead to the impossible and impractical results. In the above stated example we clearly see that a mass can never be zero, the reason being is that a mass is weight and for it to exist it would have to have some weight and thus it is proved that it can’t be divided. Impact on Commerce and Banking: If a bank employee or computer accidentally divides your bank balance by zero think what would happen. Wouldn’t your balance become something inexhaustible? You could use all the money available in the world and not be aware of it. Similarly in commerce, if during purchase buying of goods this mistake would occur. Either the purchaser or the seller would face bankruptcy. So the worst possible economic chaos would be occurring in the field of commerce and banking sector as only a sole party, either the bank or individual consumers, would be facing all the burden and humiliation of the bankruptcy.

The Pathogenesis of Down’s Syndrome Essay -- Science Medical Genetics

The Pathogenesis of Down’s Syndrome Down’s syndrome (DS) is the most common cause of mental retardation in the United States. It occurs with a frequency of one in 700 live births. The disease is caused by the presence of three copies of chromosome 21 as a result of chromosomal mutation (95% nondisjunction, 5% translocation) during cell division, leading to a total of 47 chromosomes instead of the normal number, 46. There are no individuals with the clinical signs of DS who do not have at least partial trisomy of chromosome 21. Conversely, there are no cases of people with trisomy 21 who do not have DS (Patterson, 1987). Patients suffer from a variety of physical and mental problems. Physically, the disease manifests itself in epicanthic folds of the eyes, flattened facial features, unusual palm creases, muscular flaccidity and short stature (Patterson, 1987). Many are born with congenital heart defects and increased risk for cataracts, leukemia and Alzheimer’s disease. In addition to the anatomical abnorm alities, DS patients suffer from biochemical imbalances including elevated levels of purines - a condition that can by itself lead to neurological impairment, mental retardation, and immunodeficiencies. The life expectancy for DS patients is approximately 30 years. However, with advancing medical care and therapy more patients are living to the age of 50. All individuals with DS over the age of 35 develop the same kind of abnormal microscopic plaques and neurofibrillary tangles in the brain as people who die from Alzheimer’s disease, the major cause of presenile dementia. Although a vast amount of literature exists on DS, little is known about why the presence of an extra chromosome causes mental retardation. In addition to ... ...ogy and Experimental Neurology, 49: 509-518. Ferrer, I., Gullotta, F. (1990): Down’s Syndrome and Alzheimer’s Disease: Dendritic Spine Counts in the Hippocampus. Acta Neuropathol, 79: 680--685. Mann, D. M. A., Brown, A., Prinja, D., Davies, C. A., Landon, M., Masters, C. L., Beyreuthers, K. (1989): An Analysis of the Morphology of Senile Plaques in Down’s Syndrome Patients of Different Ages Using Immunocytochemical and Lectin Histochemical Techniques. Neuropathology and Applied Neurobiology, 15: 317-329. Patterson, D. (1987): The Causes of Down Syndrome. Scientific American, 255: 52-60. Takashima, S., Ieshima, A., Nakamura, H., Becker, L. (1989): Dendrites, Dementia and the Down Syndrome. Brain Development, 11: 131-133. Wisniewski, K., Bobinski, M. (1991): Hypothalamic Abnormalities in Down Syndrome. The Morphogenesis of Down Syndrome., 153-167. The Pathogenesis of Down’s Syndrome Essay -- Science Medical Genetics The Pathogenesis of Down’s Syndrome Down’s syndrome (DS) is the most common cause of mental retardation in the United States. It occurs with a frequency of one in 700 live births. The disease is caused by the presence of three copies of chromosome 21 as a result of chromosomal mutation (95% nondisjunction, 5% translocation) during cell division, leading to a total of 47 chromosomes instead of the normal number, 46. There are no individuals with the clinical signs of DS who do not have at least partial trisomy of chromosome 21. Conversely, there are no cases of people with trisomy 21 who do not have DS (Patterson, 1987). Patients suffer from a variety of physical and mental problems. Physically, the disease manifests itself in epicanthic folds of the eyes, flattened facial features, unusual palm creases, muscular flaccidity and short stature (Patterson, 1987). Many are born with congenital heart defects and increased risk for cataracts, leukemia and Alzheimer’s disease. In addition to the anatomical abnorm alities, DS patients suffer from biochemical imbalances including elevated levels of purines - a condition that can by itself lead to neurological impairment, mental retardation, and immunodeficiencies. The life expectancy for DS patients is approximately 30 years. However, with advancing medical care and therapy more patients are living to the age of 50. All individuals with DS over the age of 35 develop the same kind of abnormal microscopic plaques and neurofibrillary tangles in the brain as people who die from Alzheimer’s disease, the major cause of presenile dementia. Although a vast amount of literature exists on DS, little is known about why the presence of an extra chromosome causes mental retardation. In addition to ... ...ogy and Experimental Neurology, 49: 509-518. Ferrer, I., Gullotta, F. (1990): Down’s Syndrome and Alzheimer’s Disease: Dendritic Spine Counts in the Hippocampus. Acta Neuropathol, 79: 680--685. Mann, D. M. A., Brown, A., Prinja, D., Davies, C. A., Landon, M., Masters, C. L., Beyreuthers, K. (1989): An Analysis of the Morphology of Senile Plaques in Down’s Syndrome Patients of Different Ages Using Immunocytochemical and Lectin Histochemical Techniques. Neuropathology and Applied Neurobiology, 15: 317-329. Patterson, D. (1987): The Causes of Down Syndrome. Scientific American, 255: 52-60. Takashima, S., Ieshima, A., Nakamura, H., Becker, L. (1989): Dendrites, Dementia and the Down Syndrome. Brain Development, 11: 131-133. Wisniewski, K., Bobinski, M. (1991): Hypothalamic Abnormalities in Down Syndrome. The Morphogenesis of Down Syndrome., 153-167.

Dickens’ skill Essay

Dickens’ skill is especially shown in his creation of Magwitch. Discuss the convict’s importance both as a key figure in Pip’s life and as a means of criticising society. Dickens uses his skill to make the reader believe that Magwitch is an evil person at the beginning of the novel. Dickens describes Magwitch as seen through a child’s eye, which is Pip. The first image of Magwitch is exaggerated because of a child’s imagination and terror. Dickens uses sounds and smells to remember people. For example Jaggers always smells of scented soap after court and when Magwitch is emotional there is a click in his throat. Although these are minor details we recognise people quicker. At the beginning of the novel we associate Magwitch with animal and beast like manners. This is because the first impression of Magwitch through the young Pip and then the hunt for Magwitch by the soldiers. In chapter 28 while Pip is travelling to Satis House he hears a conversation between two convicts who are being transported by coach under guard. Here the convicts are described as â€Å"a most disagreeable and degraded spectacle. † Dickens uses words like â€Å"growling † to covey the impression that these convicts are animal like. Dickens describes the convicts as, â€Å"Then they both laughed, and began cracking nuts, and spitting the shells about. † Dickens is making the point that if you treat some one like animals then they will act like animals. This shows how convicts were treated in society and Magwitch was also a convict. The ship that Magwitch boarded was ironically called Noah’s Ark. This is where animals boarded in biblical time. Magwitch’s true personality slowly shows through the novel. For example in chapter 5 Magwitch tells Joe that he stole his pie and file. Magwitch even apologises to Joe when he says, â€Å"Then I’m sorry to say, I’ve eat your pie. † Joe replies with a compassion answer saying,† we wouldn’t have let you starved to death for it†¦ would us Pip? † Then Magwitch throat clicks. Here I think that this shows the two real gentlemen of the story. Although their grammar is not the best one shows remorse and guilt and the other shows compassion. I am very surprised when Magwitch says he stole the file and pie. This is because firstly he did not do it he only said this to divert suspicion from Pip, a boy he never really knew. Secondly in Victoria time people could be hanged for stealing and this shows that Magwitch is a very selfless person. In the most influencing chapter of the novel, chapter 39 where Magwitch returns Pip life changes. Magwitch’s arrival has mixed feelings and mixed blessings. Here we find out that Magwitch is Pip benefactor and Pip feels revulsion and disgust, which is also shared by us the readers, that his â€Å"expectations have been paid for by a convict. This is when Pip realises that he never had any â€Å"Great Expectations†, that Estella and Satis House were never intended for him and Miss Havisham was never his benefactress. In the chapter we now see Magwitch through an adult’s eye where he does not seem violence or evil. Pip uses words like â€Å"I shuddered†, â€Å"abhorrence†, â€Å"dread† and â€Å"repugnance† in this chapter but soon later change. Dickens skill is shown through this book very well because although Magwitch is one of the most important characters he disappears for a long time in the book. Magwitch is a key character in the novel to unveiling all of the mysterious in it. There is a gradual uncovering a denouement by him in chapter 42 called â€Å"Compeyson. † We find out a lot about Magwitch’s heritage that he was born poor and that he had no family. Magwitch talks of his first memories as a young child he says, â€Å"I first become aware of myself†¦ A thieving turnips for my living. Someone had run away from me†¦ and he’d took the fire with him and left me very cold. † This shows how society has neglected orphans his first memories is of stealing and being betrayal. Magwitch talks about his trial where Compeyson got 7 years and Magwitch got 14 years. Compeyson got half the sentence because, â€Å"First of all what a gentleman Compeyson looked with his curly hair and black clothes and his white pocket handkerchief and what a common sort of wretch I (Magwitch) looked. † Magwitch said that he had given up all hope when he said, â€Å"I was hiding among the graves there envying them as was in them. † This definitely shows how poor people and convicts were treated that society did not look after them and that these people felt no sense of place or belonging n the world. Dickens uses this chapter to show the inadequacy in the legal system and also that there is a lot wrong with society. Magwitch was not legally married to Molly but only married â€Å"over the broomstick† this shows that there is no legal marriage or protection for the poor. I think that society is using Magwitch, as a scapegoat so that they can charge him for crimes he did not commit so they can feel better about their society thinking it is safer. Whereas the real criminals in the novel are free, for example Compeyson a forger, Orlick a murderer and Drummle a wife beater. Magwitch clearly has an impact in Pip life for good and bad reasons. If Pip had never met Magwitch he would still live at the forge with Joe and probably in the future married Biddy. So basically Magwitch seems to have ruined Pip’s life. Although Magwitch does more harm then good he does not do it intentionally whereas Miss Havisham did. I think Miss Havisham is, in a way, a victim because she was left at the altar on her wedding day and cuts herself off from society. Miss Havisham got her revenge on men, which was Pip through Estella but later regrets what she has done. Although Miss Havisham has ruined his life he can still forgive her. I think Pip forgives her because although Miss Havisham is eccentric he has learnt that there can be another side to a person. I think that Pip found this out when looking after Magwitch first he is repulsed and now he loves and pity him. Magwitch brings out the good qualities in Pip he is his moral educator. For example Pip looks after Magwitch but does not take any more money off him. Here Dickens is idealising Pip through Magwitch. At the beginning of the novel Pip was child but now Magwitch has become the child because he needs looking after. From the part of the novel when Pip is with Magwitch he grows morally. He learns that a gentleman is not just a good education, wealth and stature it is about self-sacrifice, loyalty and compassion. Pip even risks his life for Magwitch when there is a note saying someone has news on Magwitch. Pip goes straight away even with an injured arm and there he finds it to be a trap that it is Orlick who tries to kill him. He learns the great value of friendship and he buys Herbert branch of Clarrikers’ business. I think Pip does this because he feels guilty for getting Herbert into debt in the first place. Not only did Pip feels pity for Magwitch when he is dying so did Jaggers. For example Jaggers tries to push back Magwitch’s trial date back so he can die in peace but it fails. This is shown when it says, â€Å"Mr Jaggers caused an application to be made for the postponement of his trial. † Again Dickens makes a point about the legal system when he says, â€Å"The trial was very short and very clear. † Basically Dickens is criticising how he poor were judged in court; it was guilty until proven innocent for them. At Magwitch’s trial he is condemned to death and he says, â€Å"My Lord, I have received my sentence of Death from the Almighty, but I bow to yours. † Magwitch says this in the most elegance way and shows his courage in accepting his death sentence. By the time of his trial and death he has acquired a dignity which did not seem to be evident when he was the animal which â€Å"glared and growled† and frightened Pip half to death at the beginning of the novel.

Child Abuse and Neglect Essay - 763 Words

Every day, about five children in the United States are murdered by a parent or caretaker. In 2014, more than 3 million reports of child abuse were made in the United States involving more than 6 million children. Child abuse kills more children in America than does accidental falls, choking on food, suffocation, or fires in the home (Newton). As if these statistics weren’t horrifying enough, they are inaccurate in relaying the actual number of children that have fallen victim to child abuse in the United States. The sad reality is child abuse is severely under-reported in the United States. Most abused and neglected children never come to the attention of government officials. Victims almost never speak of their abuse for fear of†¦show more content†¦According to the data that I have researched, on average, sixty-two percent of child abuse perpetrators are females that are generally, under the age of thirty. While men accounted for the remaining thirty-eight percent. However, men that abuse their children are generally over the age of thirty (Ellison). It is also common for an adult that had been abused as a child, to go forth and abuse their own children. Children are vulnerable creatures, children are supposed to learn everything they need to survive from their parents or caretakers. Abusive parents provide the exact opposite of what a child needs. Instead of teaching and nurturing growth, they distort and destroy. Leaving the child an emotional wreck with a vast array of potential difficulties in adulthood stemming from their childhood traumas. The definitions of child abuse and neglect for the state of NJ are as follows: inflicts or allows to be inflicted and creates or allows to be created a substantial or ongoing risk. The following are the categories of maltreatment defined in statue: physical abuse, neglect, sexual abuse, emotional/mental injury and abandonment (Venti). Civil law N.J.S.A. Cruelty and Neglect of children also provides th at parents/caretakers/others who abuse, abandon, are cruel to or neglect children shall be deemed guilty of a misdemeanor and, upon conviction, fined up to five hundred dollars or imprisoned up toShow MoreRelatedChild Abuse and Neglect1653 Words   |  7 Pages Child Abuse and Neglect Child abuse, or child maltreatment, is an act by a parent or caretaker that results in or allows the child to be subjected to death, physical injury, sexual assault, or emotional harm. Emotional abuse, neglect, physical abuse, and sexual abuse are all different forms of child abuse. Child abuse is more than bruises and broken bones. While physical abuse might be the most visible, other types of abuse, such as emotional abuse and neglect, also leave deep, lastingRead MoreChild Abuse And Neglect704 Words   |  3 Pagesexperience this feeling, not just for a second, but throughout their childhood. 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