Integer Essays

Our protocol takes two integers decomposed into encrypted bit vectors [a][b] and outputs the greater integer. In this configuration cloud 1 (C1) has the encrypted bit vectors of the integers being compared and cloud 2 (C2) knows the private key. The protocol is as follows in a very concise form. we can say with firm conviction that vector [Y] consist of encrypted zeros at every location except one location which holds the value of encrypted one. This distinct location identifies the first position

2.1.1. Implementation Randomly select an odd integer n to be tested as a prime Randomly select an integer a that is 1 ≤ a ≤ n Calculate the Jacobi Symbol (a/n) using the aforementioned properties Check if the relation a^((n-1)/2)≡(a/n) holds. If it does, go to step 2. Repeat the process k times If not, n is not prime. Go to step 1. At the end of this algorithm, a number n which is likely to be prime is returned, the probability of which is 1/2^k since the probability of a number being prime

1.2.2 Rational numbers All the numbers that we use in our normal day-to-day activities are called Real Numbers. Real numbers are: Positive integers (1, 2, 3, 4, etc.) Fractions (1/2, 2/3, 1/4, etc). [The integers are really forms of fractions (1/1, 2/1, 3/1, etc.)] Negative numbers (-1, -3/4, etc.) Any numbers that can be written in the form a/b where a and b are whole numbers are called Rational Numbers. A rational number is a number that can be written as a ratio. That means it can be written

Elizabeth Bishop is an American poet and short story writer from the 1900s. During her lifetime she became a well respected woman who intertwined her poems with ambiguous meanings that have drawn the attention of many critics for interpretation. . Her extraordinary ability to reflect common topics in her poem creates a thought provoking atmosphere which enables her to convey lucid, complex ideas through her poetry. Bishop’s ability captures the fascination of many critics, thus leading to an in depth

In the summer and fall of eighteen zero two, Ludwig Beethoven worked on this magnificent symphony. On the fifth day of April in eighteen zero three, this beautiful symphony was performed for the first time at Vienna’s Theatre an der Wien at an all-Beethoven concert. On the twenty second day of April in eighteen forty-three, the fantastic symphony had it’s first American performance at the New York Philharmonic. Two of many instruments are used for this wonderful symphony: flutes, trumpets, oboes

Module 0 | Unit 1: The Language of Algebra Key Concepts: Expressions, operations on real numbers, and exponents and roots Essential Questions: How can you use variables, constants, and operation symbols to represent words and phrases? How do you add and subtract real numbers? How do you multiply and divide real numbers? Variable: Symbol or letter that represents an unknown number Constant: A number that doesn’t change Numerical Expression: An expression that has only numbers and operations. Algebraic

INTERNATIONAL ACADEMY AMMAN Extending the Domain of the Gamma Function Math Exploration Laila Hanandeh 11/10/2014 Table of Contents: Aim 2 Factorials 2 The Zero Factorial 2 Deducing the Gamma Function 3 Working Out Example 6 Analytical Continuation 9 Gamma Function Graphs 10 Real Life Applications 11 Aim: The Gamma Function is defined as an extension of the factorial function in which its argument is for complex and real numbers. (1) However, through my exploration

Question #1: What are real numbers? What are the stages in the development of the real number? What is the concept behind division by zero? Answer#1: Real numbers: Real numbers are those numbers which incorporates all the rational and irrational numbers, real numbers are the numbers on a real line which is (- ∞,+∞) or we can say that a real number is any component of the set R, Where R = Q U {0} U Q’ In this expression Q and Q ' indicated to rational and irrational numbers respectively, irrational

Page twenty-three represents the idea of women being seen as objectified, this is when Lutie describes her first time seeing Min. A quote from this section is “next to the sofa there was an overstuffed chair,” as she looked at it she realized that there was a woman sitting in it. She thought to herself, how can anyone sit in a chair and melt into it like that. Page forty-five was when Lutie was working for Mrs. Chandler, and it mentions that the automatic reaction of white people is that if a girl

Is your business ready to expand into the Chicago area code? Nextiva VoIP services make it possible to purchase area code 312, 773 and 708 no matter where in the world you are located. Chicago Area Code 312, 773 and 708 The Chicago area code is an asset to any business. The city is the biggest city in the state of Illinois, and the 3rd largest in the country. It has an estimated population of 2.7 million people and covers 234 square miles. Area code 312, 773 and 708 is in Cook County in the northern

ISAIA is an upscale Italian menswear with a history and success based on the concept of “Made in Naples”. This concept is a value meant both as Neopolitan tradition and as exclusive product knowledge, admired around the world. ISAIA dresses yesterday’s man and today’s man with its vast aspect because of its contemporary tradition. The products offered such as tailored clothing, sportswear and accessories is exclusive that is not available anywhere else in the United States. The vision of ISAIA’s

Roach Group topic: Handling More Urges and Cravings Today’s group session was focused on learning skills to cope with urges and cravings. Group members were to review the six steps to handle urges and cravings. Then, members were to identify three of their values that they can use to help them maintain sobriety. PO was present and had a strong participation in discussion and group activities. PO seemed gaining knowledge and understanding of the addiction processes, and demonstrated the ability

INTRODUCTION Being under pressure to achieve unobtainable goals inevitably sets that person up for disappointments. Perfectionists tends to have harsh critics of oneselves when fail to meet their standards and objectives. Some authors have argued on two types of perfectionism. They have classified some as tending towards normal perfectionism and some as neurotic perfectionism. Normal perfectionists are gradient more towards being a perfect person without compromising on their self-esteem, and deriving

The Life of the American Flag Hello I am the American Flag and im here to tell you about how I have become the current American Flag that we all know today. It all started in 1775 when i changed five times. The first design i had was white with a green christmas tree that had big bold black letters s[e;;om gpit, " AN APPEAL TO HEAVEN". The second design that i had was red and white stripes with a rattle snake on it with black words that said "Don 't Tread on me". The thrid design I had in 1775

QP engaged Maunica in participating in a CBT activity geared towards understanding anger. QP explained to Maunica that the activity will enhance her ability to manage and express anger appropriately. QP explained to Maunica feelings of anger can help with management of behavior. QP discussed with Maunica the different kinds of anger. QP asked Maunica to explain what kind of anger she feels. QP assisted Maunica in identifying some of her emotions. QP explained to Maunica that there are different

minimum of 640 acres of land and one share of oil. With the discovery of oil on the land this meant each Osage was entitled to and would receive royalty payments for the oil (Gross). The discovery of oil and the royalty payments that came along with it were going to introduce the Osage to a whole new world, a world of wealth. In Christopher Klein’s historical article “The FBI’s First Big Case: The Osage Murders”, he describes for us in detail the wealth the Osage people received. Klein says “Each

During this interaction, I was trying to maintain my positive face; to be appreciate and treated with respect. Dee used the face threatening speech act of giving an account. Accounts are “utterances to address problematic events” (Tracy and Robles, 2013 p. 95). More specifically, her accounts are excuses. An excuse admits something is bad, but denies full responsibility (Trachy and Robles, 2013). The examples of this are in emails 5, 9, and 13, Dee shifts the blame from herself to other things in

class App(): number1 = 0 number2 = 0 operator = '' # Operators # 1) Add (+) # 2) subtract (-) # 3) Multiply (*) # 4) Divide (/) def getFirstNumber(self): #Gets first number from user self.number1 = self.__checkNumber("Please enter the first number: ") def getSecondNumber(self): #Gets second number from user self.number2 = self.__checkNumber("Please enter the second number: ") def __checkNumber(self

Therapist met with individual to discuss anger management. Individual states she is controlling her anger by using her calming techniques. Therapist and individual continue to work on calming techniques when angry through role-play. Individual states she likes to control her anger and will use more calming techniques at school when someone is bothering her. Individual displays minimal progress in angry management as evidence of individual self reports she uses her calming techniques when angry

Analysis of Werther’s Characteristics The sorrows of young werther is a German writer johann Wolfgang Goethe is one of the most famous masterpiece. Johann Wolfgang von Goethe, a German modern outstanding poets, writers and thinkers. The sorrows of young werther this epistolary novel written in first person, not only conveys the feudal system in Europe from the ancient to the capitalist system of excessive transformation period, the middle-aged and young generation to pursue "personality liberation"