Definition of Algorithm in Mathematics

An algorithm in mathematics is a procedure, a description of a set of steps that can be used to solve a mathematical computation: but they are much more common than that today. Algorithms are used in many branches of science (and everyday life for that matter), but perhaps the most common example is that step-by-step procedure used in long division. The process of resolving a problem in such as what is 73 divided by 3 could be described by the following algorithm: How many times does 3 go into 7?The answer is 2How many are left over? 1Put the 1(ten) in front of the 3.How many times does 3 go into 13?The answer is 4 with a remainder of one.And of course, the answer is 24 with a remainder of 1. The step by step procedure described above is called a long division algorithm. Why Algorithms? While the description above might sound a bit detailed and fussy, algorithms are all about finding efficient ways to do the math. As the anonymous mathematician says, Mathematicians are lazy so they are always looking for shortcuts. Algorithms are for finding those shortcuts. A baseline algorithm for multiplication, for example, might be simply adding the same number over and over again. So, 3,546 times 5 could be described in four steps: How much is 3546 plus 3546? 7092How much is 7092 plus 3546? 10638How much is 10638 plus 3546? 14184How much is 14184 plus 3546? 17730 Five times 3,546 is 17,730. But 3,546 multiplied by 654 would take 653 steps. Who wants to keep adding a number over and over again? There are a set of multiplication algorithms for that; the one you choose would depend on how large your number is. An algorithm is usually the most efficient (not always) way to do the math. Common Algebraic Examples FOIL (First, Outside, Inside, Last) is an algorithm used in algebra that is used in multiplying polynomials: the student remembers to solve a polynomial expression in the correct order: To resolve (4x 6)(x 2), the FOIL algorithm would be: Multiply the first terms in the parenthesis (4x times x 4x2)Multiply the two terms on the outside (4x times 2 8x)Multiply the inside terms (6 times x 6x)Multiply the last terms (6 times 2 12)Add all the results together to get 4x2 14x 12) BEDMAS (Brackets, Exponents, Division, Multiplication, Addition and Subtraction.) is another useful set of steps and is also considered a formula. The BEDMAS method refers to a way to order a set of mathematical operations. Teaching Algorithms Algorithms have an important place in any mathematics curriculum. Age-old strategies involve rote memorization of ancient algorithms; but modern teachers have also begun to develop curriculum over the years to effectively teach the idea of algorithms, that there are multiple ways of resolving complex issues by breaking them into a set of procedural steps. Allowing a child to creatively invent ways of resolving problems is known as developing algorithmic thinking. When teachers watch students do their math, a great question to pose to them is Can you think of a shorter way to do that? Allowing children to create their own methods to resolve issues stretches their thinking and analytical skills. Outside of Math Learning how to operationalize procedures to make them more efficient is an important skill in many fields of endeavor. Computer science continually improves upon arithmetic and algebraic equations to make computers run more efficiently; but so do chefs, who continually improve their processes to make the best recipe for making a lentil soup or a pecan pie. Other examples include online dating, where the user fills out a form about his or her preferences and characteristics, and an algorithm uses those choices to pick a perfect potential mate. Computer video games use algorithms to tell a story: the user makes a decision, and the computer bases the next steps on that decision. GPS systems use algorithms to balance readings from several satellites to identify your exact location and the best route for your SUV. Google uses an algorithm based on your searches to push appropriate advertising in your direction. Some writers today are even calling the 21st century the Age of Algorithms. They are today a way to cope with the massive amounts of data we are generating daily. Sources and Further Reading Curcio, Frances R., and Sydney L. Schwartz. There Are No Algorithms for Teaching Algorithms. Teaching Children Mathematics 5.1 (1998): 26-30. Print.Morley, Arthur. Teaching and Learning Algorithms. For the Learning of Mathematics 2.2 (1981): 50-51. Print.Rainie, Lee, and Janna Anderson. Code-Dependent: Pros and Cons of the Algorithm Age. Internet and Technology. Pew Research Center 2017. Web. Accessed January 27, 2018.

The Problem Of Drug Use And Trafficking - 843 Words

Lil Draggin (An essay on the problem of drug use and trafficking and the multiple possibilities of solving this issue) It has come to my attention that a certain issue needs to be addressed and if this issue continues to grow then this town could see some serious changes and people could find themselves in serious dilemmas. The issue I am addressing is drug use and trafficking that has been known of for many years. Due to the fact that the least bit of attention has been brought upon drug trafficking it has begun to grow and create a larger issue than some can even begin to imagine. Illicit drug trade according to the world UN Drug Report â€Å"is one of the largest global businesses, at some $322 billion†(Shah,2008). Now in a sense it might be a risky business to get into, but that is fast cash and might I say a good amount as well. Now this isn t the only issue I will bring up when you notice that the attention is not given to this issue drugs can be in high demand and because no one has done much to barricade these drugs it is extremely easy to obtain these drugs. My solution for this problem comes in three s as a nation we should not make any drug legal, create effective crime policies, and reducing demand. The first way we will decrease the drug trade is by not making any drug legal to any civilian of this country. Drug legalization increasingly merits serious consideration as both an analytical model and a policy option for addressing the drug problem.Show MoreRelatedDrug Trafficking Is The International Problem1390 Words   |  6 PagesDrug trafficking is the illicit production transportation and trade with drugs. These drugs are produced in one country of the world and with strong network communication are traded to different destination of the world. It is clear that the existence of drug trafficking is the international problem, which needs rapid solutions. The harmful impact of drugs is commonly known all over the planet, that is why the majority of the drugs prohibited. Also it has a tremendous social impact that is breakingRead MoreWhy Drug Trafficking Continues to Rise Despite the Risks Involved1181 Words   |  5 PagesDrug use around the world is very common. According to Drug Trafficking, â€Å"The United Nations Office on Drugs and Crime estimates that 208 million people worldwide use drugs annually on at least one occasion.† Illegal drug trafficking is an increasing issue around the world that many people are not aware of. This issue causes problems to people everywhere, whether they are involved with drugs or not. Cocaine use has many harmful effects for people. For example, it can cause problems in a child ifRead MoreGlobal Crime Analysis1134 Words   |  5 Pagesworld. Global crime can be international drug smuggling operations, human trafficking, or international prostitution rings. Weapons trading are also a problem that exists all over the world. There are always concerns of rogue nations selling nuclear weapons to other nations that do not follow the guidelines of the world community. In the international community, human trafficking has become an issue that is spiraling out of control. The International Trafficking (2010) website cites that victims ofRead More Illicit Trade and Drug Trafficking Proving to be a Major Problem1291 Words   |  6 Pagesand Drug Trafficking Proving to be a Major Problem Drug trafficking and illicit trade have proven to be major problems that the international community face as it enters into the twenty-first century. Currently the illegal drug trade market is one of the largest sectors of the modern global economy. Because of this fact, the drug trade is deeply rooted in many nations economic and social cultures, which makes it very difficult to control. Drug trafficking also brings with it the problems of organizedRead MoreWar On Drugs And Drug Trafficking960 Words   |  4 Pageshuman trafficking, drug trafficking, and weapons trafficking. One of the most harmful organized crimes is drug trafficking. What makes drug trafficking organized is the system of production to distribution. Drug trafficking organizations have a hierarchy of power from the kingpins to the couriers. Drug also has political influence they are able to bribe and blackmail politicians. Trafficking drugs is a multi-billion-dollar business, and the United States is one of its lar gest markets. Drug traffickingRead MorePublic Policy Research Paper On Drugs Essay1711 Words   |  7 PagesPublic Policy Research Paper Drugs. They have entered our communities, our schools, our neighborhoods, our homes. For generations now they have been affecting our society; influencing politics, laws, wars, science, and the overall structure of society. Russia and Mexico have had some of the highest involvement in drugs, and the fight against them. In Russia almost 6 percent of the total population, which is about 8.5 million people are drug addicts, or regular users. Russia has also become increasinglyRead More Reducing Drug Trafficking in The United States Essay952 Words   |  4 PagesThe drug problem in the U.S. and around the world is an important issue and seems to be a difficult problem to tackle across the board. The inflow of drugs has become one of the largest growths in transnational crime operations; illicit drug use in the United States makes it very difficult for nation states police and customs forces to get a handle on the issues. War on drugs, drug trafficking has long been an issue for the Un ited States. There has been a proclamation of â€Å"war on drugs† for the pastRead MoreDrug Trafficking And The Criminal Justice System1272 Words   |  6 PagesThis paper explains the consequences that drug traffickers face in today’s criminal justice system; those consequences being classed as controlled substances, federal trafficking sentences, offender and offense characteristics, and the effects of illegal drug trade on society. When the federal government labels a substance as controlled, this means the possession and distribution of these substances are governed by law. These laws are formulated in accordance with 21 U.S. Code  § 811 – 814 - AuthorityRead MoreEssay Drug Trafficking, Consequences, and Accountability1453 Words   |  6 Pages The illegal drug trafficking found throughout Latin America is not an issue that can be solved by either a government or an individual alone. Unfortunately, it is also an issue that requires more than one solutio n in order to solve the problem. Each Latin American state is unique, as are the various citizens who inhabit them. As drug trafficking is a transnational force, Latin American governments often find themselves not only at odds with one another, but with larger political and economic powersRead MoreShould Marijuana Be Legalized? Essay1281 Words   |  6 Pagespercent from 2006 to 2014 (â€Å"Unpacking pot†, 2016). The fact is that drugs, not just marijuana, are a big part of not just Americans lives, but everyone around the world. There are a couple major issues with drugs in our society; drug trafficking, drug use in schools, driving while impaired, and on the streets. It is getting out of control for the government and police departments to contain. There are so many places for people to hide drugs without getting detected. Stricter laws and more patrol needs

Analysis Of Dennis Reynolds s The Show It s Always...

Dennis Reynolds, of the show It’s Always Sunny in Philadelphia, is a narcissistic man in his early thirties. Raised by stepfather Frank Reynolds, a successful business man with unethical methods, and mother Barbara Reynolds, a selfish woman who only married Frank for his wealth. Dennis and his twin sister Dee were raised wealthy but were often misguidedly taught to not seek affection through materials. For example, every Christmas Frank would buy gifts for his children only to destroy it while the children watched. Dennis attended the University of Pennsylvania to become a veterinarian while minoring in Psychology. He often tries to use his Psychology minor to his advantage, an example being his attempt to psychoanalyze his friends whilst berating the actual psychiatrist and mocking her for attending a subpar university. His academic studies were unable to translate into a career, however he is co-owner of the bar, Paddy’s Pub in Philadelphia. Dennis along with his sist er Dee, father Frank, and two friends Mac and Charlie, use the bar as a hangout spot often concocting schemes and shenanigans. Though the bar makes very little money, Dennis maintains his lavish lifestyle with his father’s money often wearing high-end clothing, driving a Land Rover, and getting into sticky situations while placing little care on the financial ramifications. Dennis is vain, narcissistic and has been diagnosed with Borderline Personality Disorder. He cares very little for others unless it isShow MoreRelatedStephen P. Robbins Timothy A. Judge (2011) Organizational Behaviour 15th Edition New Jersey: Prentice Hall393164 Words   |  1573 Pagesand permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. To obtain permission(s) to use material from this work, please submit a written request to Pears on Education, Inc., Permissions Department, One Lake Street, Upper Saddle River, New Jersey 07458, or you may fax your request to 201-236-3290. Many of the designations by manufacturers

Importance of Being Prepared free essay sample

The act of being prepared has enabled humans to both lessen the impact of misfortunes and provide themselves with a basis of reaching a higher level. This in itself has been one of the major factors that had enabled society to develop this far without being destroyed in the process. Along with the everyday preparations that prevent students from failing a class, there are other higher stake preparations that are engrained into certain professions. Major example being doctors, police, and firefighters, unlike failing to be prepared to present a project, individuals in these professions are faced everyday with situations that if they are not properly prepared, could result in much higher and deadly consequence. For those reasons alone, these professionals are put through training, test, and drills that force them to be prepared for all situations. An example of this has recently emerged alongside the many heart shattering stories that resulted from the recent bombings in Boston; one coming from a hospitals that treated the victims of the bombings. We will write a custom essay sample on Importance of Being Prepared or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page The doctors at this hospital had already been put through drills for situations much like that of the bombings; this enabled them to stay organized and efficient. If it had not been for the staff being prepared, the scene would have been much more chaotic and more lives would have been lost. Being prepared for the long term is also an important part of survival as well. This would account for any sort of natural disaster, war, or even the end of the world. Preparing supplies, food, water, and any survival plans could possibly be the factor of life and death for you and your family. This type of preparation is more self centered in the way that it would not necessarily benefit strangers who are also in the same situation, but it would more put you at a higher level, providing opportunities that unprepared individuals would not have. However in some more mild cases, this preparation would in fact benefit others around you. For example if for a class project the student that was suppose to present had not been prepared enough to go, if another student had been prepared long term for a situation such as this, it could prevent the teacher from assigning an essay that would have topped off the giant pile of work and stress that the rest of the class is facing due to upcoming AP tests. The bottom line is that human beings, and all successful animals in the  wilds, must be prepared before the potential mishaps could occur, people are expected to be prepared for situations that could possibly arise. Whether this would mean the difference between life and death or just ten points of an essay, the skill of being prepared is always good to be utilized. However like any skill, it must be developed and refined over time through consequences that are brought upon oneself through deadly art of procrastinating. As time goes on, and as individuals, society, and the world are hit with many different ranges of situations, we will become more and more prepared for what could lie ahead.