Even and odd functions Essays

  • Beyond Pythagoras - Mathematical Investigation

    1522 Words  | 4 Pages

    I have observed the following patterns: · The smallest side length advances by two each time. · All the middle numbers are even · The middle length is always a multiple of four. · The longest length is always one unit more than the middle length. · Both the shortest and longest side lengths are always odd. · Both the area and perimeter are always even numbers. I can immediately see the formula to derive the shortest side length

  • Investigating the Phi Function

    2009 Words  | 5 Pages

    Investigating the Phi Function The phi function is defined for any positive integer[IMAGE](n), as the number of positive integers not greater than and co-prime (have no factor other than 1 in common) to n Example So [IMAGE](12) = 4 because the integers less than 12 which have no factors in common with it except for 1 are 1,5,7,11 i.e. there is 4 of them. I started to investigate the phi function of numbers from 2 to 24 so I could find patterns, which I can use to create a formula

  • GPU Sorting - The Benefits

    1339 Words  | 3 Pages

    sorting. A valid argument can be made that there are plenty of non-parallel algorithms that trump Bubble Sort in terms of computation time. While Heap Sort, Quick Sort, Radix Sort, and other advanced sorting algorithms can indeed, like the GPU based Odd-even Transposition Sort, destroy Bubble Sort sort times. This begs the question, how does the GPU based OETS fair against those advanced sorts? The purpose of this paper however is not to demonstrate a superior sorting technique, rather, its purpose

  • Pt1420 Unit 7 Lab Report Conclusion

    931 Words  | 2 Pages

    the first 15 moves and the last 15 moves of the 6 disk puzzle are the same as solving the 4 disk puzzle. This shows that the odd number disk puzzles have the same pattern and the even number disk puzzles have the same pattern. This means that if the player knows how to solve the previous odd or even number puzzle, they can solve the beginning and end of the next odd or even number puzzle perfectly. Overall, the two goals are going to make solving this brain

  • The Pros And Cons Of Playing The Greyhound Lottery

    1030 Words  | 3 Pages

    because there are gambling websites that make playing the greyhound lottery easy too. What Is The Greyhound Lottery? In essence, it is a bet that only costs you a small amount, but that offers you a very large return. The only downside is that the odds of you winning are tiny (like a lottery), except the unlike the lottery you are thousands of times more likely to win. What people do not understand about the lottery is that they could play it for a million lifetimes and only ever win it 10 times

  • Quartic Polynomial Research Paper

    1296 Words  | 3 Pages

    intercepts to understand the quartic polynomial even more. In this paper, all of the items above will be mentioned and thoroughly talked about as we analyze the quartic polynomial f(x)=6x⁴+11x³-16x²-11x+10. One of the first things we will look at is the end behavior of the quartic polynomial. End behavior is how the starting and the ending point of a function approach infinity. It is called end

  • Oppositional Defiant Disorder

    1854 Words  | 4 Pages

    Adolescents. ODD is a disorder in which the child is argumentative and defiant, angry and irritable, and vindictive. Children with ODD may experience numerous negative symptoms. ODD was first added to the DSM-III, where it was originally called Oppositional Disorder. Since then numerous changes have been made to the disorder. ODD is slightly more prevalent in boys than in girls. The onset of ODD is usually elementary school age. There are many factors that can contribute to a child developing ODD. Although

  • The Importance of Preventative Care for Health

    2869 Words  | 6 Pages

    all levels of household income, education, and age. Even though there has been a large amount of information created by work on preventive services, a gap remains in the literature. According to the Office of the Assistant Secretary for Planning and Evaluation (ASPE) in the U.S. Department of Health and Human Services (DHHS), an estimated 48.6 million people were uninsured in 2011. This figur... ... middle of paper ... ...tion to lower odds (OR=0.60) of being vaccinated in accordance with guidelines

  • Defining Oppositional Defiant Disorder

    2419 Words  | 5 Pages

    oppositional defiant disorder (ODD) is and its effect on age, gender, and concurring behaviors (comorbidity) like attention deficit hyperactivity disorder (ADHD) and conduct disorder (CD). How these conditions are affected in getting the proper diagnosis and treatment for ODD. Loeber, Burke, and Pardini reported in clinical groups among children, ODD is listed as one of the most commonly known behavioral disorders (as cited in Kazdin, 1995). Stringaris and Goodman (2009) found ODD is apparently very important

  • Dove Self Esteem Case Study

    1201 Words  | 3 Pages

    quite successful due to the following criteria; Function feasibility, operational feasibility and socio-cultural feasibility. In order to apply solution we have to understand how it functions. Functional Feasibility is the project's ability to address the causes of the problem and to reduce or eliminate the effects. It shows how effective the solution is. As I mentioned before the causes for low self-esteem are so many but the most common are being the odd one out, at home or at school, belonging to

  • Functionalism

    1299 Words  | 3 Pages

    their functional role; meaning the mental states and its relationship to other mental states, sensory inputs and behavioral outputs (Levin). In the article “Functionalism” by Ned Block, he illustrates this concept through a machine by detecting an even or odd number of 1’s. This system has two states, S1 and S2; one input,... ... middle of paper ... ...y. Works Cited Levin, Janet, "Functionalism", The Stanford Encyclopedia of Philosophy (Summer 2010 Edition), Edward N. Zalta (ed.), URL = .

  • Analyzing The Goldbach Conjecture

    1635 Words  | 4 Pages

    state that every even integer greater than two is a sum of two primes, and every odd integer greater than five is a sum of three primes. Though there is still a lot to discover about the conjectures, mathematicians generally view them as true. In this mathematical exploration I shall discuss in detail both of Goldbach’s conjectures and the mathematical procedures that occur. Rationale The reason I chose to research this topic is because a while back I had realized that every even number other than

  • The Resilience Of The Human Spirit In The Martian By Andy Weir

    965 Words  | 2 Pages

    optimistic, and hopeful as ever. Weir even makes it clear that Mark was selected for the mission specifically because his nature was such a strong asset to the chemistry of the group. While, “…they [the group] all showed signs of stress and moodiness… Mark was no exception, but the way he showed it was to crack more jokes and get everyone laughing,” (89). It is his unique natural ability to thrive in adversity and uplift others that earns him a spot on the Ares crew. Even the NASA specialist agrees that

  • Jeff Mcmahan The Ethics Of Killing Summary

    1156 Words  | 3 Pages

    The purpose of this essay is to critically evaluate Jeff McMahan’s methods of analyzing death. In his book, ‘The Ethics of Killing,’ McMahan formulates a method for determining the ‘badness’ of a death, something our society lacks. We have an intuitive way of considering different deaths; we consider a child dying by accident worse than a criminal being executed, for example. But there are more complicated cases, and we cannot always rely on our intuition. We must have a method for determining the

  • The Fourer Series: An Analysis Of The Fourier Series

    1515 Words  | 4 Pages

    Bastiste Joseph Fourier made an extraordinary discovery; as a result of his investigation into partial differential equations modeling vibration and heat propagation in bodies, he found out that every function could be represented by an infinite series of sines and cosines (the basic trigonometric functions). For example the sound signal produced by any musical instruments such as piano, drums, etc. could be decomposed into its trigonometric constituents which reveals the fundamental frequencies that

  • Autism Spectrum Disorder Case Study

    2269 Words  | 5 Pages

    ASD indicates that ASD is more strongly associated with affective aggression than predatory aggression (Wahlund & Kristiansson, 2006). Individuals with ASD are more likely to engage in violence that requires less planning and is carried out by more odd motives (Wahlund & Kristiansson, 2006). This indicates that ASD-status is likely not correlated with mass violence, which tends to be associated with predatory aggression which is indicated by conscious planning that engages higher order cognitive

  • Theme Of Technology In Fahrenheit 451

    1323 Words  | 3 Pages

    because they all function separately by being antisocial and caring only about themselves. In contrast, a true community allows all members to work together by communicating and interacting with one another. Finally, children are very reckless and kill each other for fun. This seems very odd to think about, but in a society like this, the children are restricted from creativity and responsibility. They are not given time to think on their own because they only know how to function when they are told

  • Hills Like White Elephants Theme Analysis

    1169 Words  | 3 Pages

    dialogue shows that neither one of them wants things to change. Death, however, causes change to happen. Even if the people involved run as completely far and as fast as they can from the event and attempt to completely ignore it, their lives will be changed, no matter what. Death can cause a change in mentality, as seen in Faulkner’s “A Rose for Emily” it can cause change through rebellion, even if only temporarily, as shown in Vonnegut’s “Harrison Bergeron”, and death can bring a physical change

  • Vladimir Propp's Fairy Tale Transformations

    712 Words  | 2 Pages

    In [Fairy Tale Transformations], Vladimir Propp makes the proposition that all fairy tales can be analyzed through a technical method, and can be broken down into thirty-one constituent functions and one hundred fifty constituent elements. Furthermore, he elaborates on how the “basic” forms of fairy tales can evolve into “derived” forms through any one of twenty given transformations. In a seemingly separate domain, Hélène Cixous details in her French feminist critique “Castration or Decapitation”

  • Advanced Shellcoding Techniques

    1262 Words  | 3 Pages

    Introduction This paper assumes a working knowledge of basic shellcoding techniques, and x86 assembly, I will not rehash these in this paper. I hope to teach you some of the lesser known shellcoding techniques that I have picked up, which will allow you to write smaller and better shellcodes. I do not claim to have invented any of these techniques, except for the one that uses the div instruction. The multiplicity of mul This technique was originally developed by Sorbo of darkircop.net