State the division algorithm for integers allowing negative

Assignment Help Mathematics
Reference no: EM13203981

Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder? Give a proof or counterexample.

Reference no: EM13203981

Questions Cloud

Companys required rate of return on investment projects : The company's required rate of return on investment projects is 20 and what is the Net Present Value (NPV) of this project? Should this project be accepted?
How muck mix is needed to make each amount of lemonade : If q is the number of quarts of lemonade ,than 1/4q can be used to find the number of cups of lemonade mix needed to make the lemonade. How muck mix is needed to make each amount of lemonade? 2 quarts, 8 quarts, 12 quarts, 18 quarts
Adequate intake for calcium : Adequate intake (AI) for calcium is- 1300 mg for 9-13 year old girls and 1000 mg for adult females...after menapause it is 1200 mg. How many cups (8oz) of milk does one have to drink in a day to reach this amount?
Determine the expected waiting time and standard deviation : The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 15 minutes and 2 1/2 hours. b. What is the probability of a patient waiting exactly 50 minutes c. What is the probability that a patient would h..
State the division algorithm for integers allowing negative : Formulate and prove a version of the division algorithm for integers allowing negative remainders. Will you be able to preserve uniqueness of the quotient and remainder?
What is the distance traveled in still air : a plane travels 470 mi 340 mi against the wind. wind speed is 26mph. what is the distance traveled in still air?
Determine the expected return and the standard deviation : Calculate the expected return and the standard deviation of expected return on Stock A over the four-year period and calculate the expected return and the standard deviation of expected return on Stock B over the four-year period.
Determine how many hours the crane was renter : the cost to rent a construction crane is $630 a day plus $230 per hour of use. Write and solve an equation to determine how many hours the crane was renter for if the total cost is $3150.
Create a listening guide on any of the songs : Create a listening guide on any of the songs

Reviews

Write a Review

Mathematics Questions & Answers

  What are the two possible lengths of the box

A box with a square base has length plus girth of 114 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3?

  Explain why it would be a good choice

Identify a sampling method that would lead to a representative sample for the survey. Explain why it would be a good choice and give details about the process.

  Find the probability of making a type ii error

Find the probability of making a Type II error.

  How are the exact values of a and r related

The two formulas f(t)=Pa^t and f(t)=Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related? (Find a formula for a as a function or r.

  Formulate a linear programming model for this problem

Formulate a linear programming model for this problem.

  What is the conditional probability

A coin is tossed three times. What is the conditional probability that the outcome is THT given that at least one head occurs?

  Find the actual speed and direction of the plane

an airplane is flying on a bearing of 140 degrees at 395 miles per hour. A wind is blowing with a bearing of 190 degrees at 35 miles per hour. Find the actual speed and direction(bearing) of the plane.

  Determine the steady-state probabilities for this transition

Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.

  What is the probability of being correct 28 or more times

A coin tossed 40 time. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 26 tosses. What is the probability of being correct 28 or more times by guessing?

  The drying rate in an industrial process is dependent

The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.

  Find a number for x that when substituted in formula yeilds

Try to find a number for x that when substituted in the formula yeilds a composite number. need to use 5 numbers. 0, 2 odd, 2 even.

  How wide is the projected image

you project a drawing 7 in. wide and 4 1/2 in. tall onto a wall. the projected images is 27 in. tall. how wide is the projected image.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd