suppose that x and y are bit strings of length n and m is the number of positions where both x and y have 1s. show that w(x y) = w(x) w(y)− 2m.

Answers

Answer 1

A bit string of length refers to a sequence of bits, each of which can be either 0 or 1, that is a fixed length. The total number of possible bit strings of length n is 2^n.

To start, let's define what the function w() represents. The function w(x) returns the Hamming weight of bit string x, which is the number of positions in the string where the bit is 1.

Now, we need to prove that w(x y) = w(x) w(y)− 2m, where x and y are bit strings of length n and m is the number of positions where both x and y have 1s.

First, let's consider the case where x and y have no 1s in common. In this case, m=0 and w(x y) will be equal to the Hamming weight of the concatenated string x y, which is the sum of the Hamming weights of x and y.

This is because there are no positions in which both x and y have 1s, so the number of 1s in x y will be equal to the number of 1s in x plus the number of 1s in y.

Now, let's consider the case where x and y have some 1s in common. In this case, we need to subtract the number of overlapping 1s from the sum of the Hamming weights of x and y, since these overlapping 1s will be double-counted in the concatenated string x y. The number of overlapping 1s is equal to 2m, since each position where both x and y have a 1 will be counted twice in the concatenated string.

Therefore, we can express w(x y) as w(x) + w(y) - 2m, which is equivalent to w(x) w(y) - 2m. This completes the proof.

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Related Questions

Create a round object to hang in your window that will touch the midpoints of all four edges of your window

Answers

The round object that can touch the midpoints of all four edges of a window is illustrated by a circle with dimensions.(x-h)² + (y-k)² = r².

What is a midpoint?

It should be noted that a midpoint is a point that is lying between two points and is in the middle of the line joining the two points.

Based on the information given, the center is (h,k) and tthe radius = r.

Top of the circle = (h,r+k) = midpoint of the window's top

The circle's bottom = (h,k-r)=midpoint of the window bottom

The left edge of the circle = (h-r, k)=midpoint of the window's left side

The right edge of the circle = (h+r, k)= midpoint of the window's right side

The window square is illustrated as 2r by 2r and its vertices are (h-r, r+k), (h+r, r+k), (h-r, r-k),  (h+r, r-k).

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A(n) ________ is a set of one or more computer programs that serves as an intermediary between the user and the DBMS.

Answers

Answer:

A database application is a set of one or more computer programs that serves as an intermediary between the user and the DBMS.

Explanation:

DBMS stands for Database Management Systems. Therefore, it would make sense that the database application is the set of computer programs that are the mediator between the user and the DBMS.

You have downloaded a file from the internet. You generate a hash and check it against the original file's hash to ensure the file has not been changed. Which information security goal is this an example of

Answers

Answer:

integrity

Explanation:

Which mynav module serves as the source for sales and delivery content, assets, and intellectual property across industries??
possible answers (only one right):
a) industry module
b) cloud advisor
c) green cloud module
d) talent advisor

Answers

The Industry Module of the mynav module serves as the source for sales and delivery content, assets, and intellectual property across industries.

What is industry module myNav?

myNav is known to be one that simulates how a given solutions will act at scale, and it also validates it's the right in regards to fitting in for the first time.

Hence, The Industry Module of the mynav module serves as the source for sales and delivery content, assets, and intellectual property across industries.

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What process identifies and grants access to a user who is trying to access a system?

Answers

Answer:Authentication.

Explanation:

Authentication.

Lucy is trying to decide what sources to use in her literature review. The type of sources Lucy will use in her literature review will depend on which of the following?

Answers

The type of sources Lucy will use in her literature review will depend on the type of literature review and the discipline.

What is in the literature review?

A literature review is known to be a form of a detail summary of former research on a topic.

Note that the literature review is one that looks into scholarly articles, books, area of research and as such, the type of sources Lucy will use in her literature review will depend on the type of literature review and the discipline.

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What special enterprise VPN supported by Cisco devices creates VPN tunnels between branch locations as needed rather than requiring constant, static tunnels

Answers

Answer:

Dynamic Multipoint VPN

Explanation:

In a typical office, biometric authentication might be used to control access to employees and registered visitors only. We know the system will have some false negatives, some employees falsely denied access, so we need a human override, someone who can examine the employee and allow access in spite of the failed authentication. Thus, we need a human guard at the door to handle problems as well as the authentication device; without biometrics, we would have had just the guard. Consequently, we have the same number of personnel with or without biometrics, plus we have the added cost to acquire and maintain the biometrics system. Explain the security advantage in this situation that justifies the extra expense.

Answers

The security advantage in this situation that justifies the extra expense is that these Biometric devices is one that separates the handling of issues regarding biometric information from the system operating system.

It is one that render it impossible for hackers to alter the authentication process.

What is the aim of biometric authentication?

An biometric authentication is known to be a device that is used to handle access in regards to physical and digital resources, e.g. buildings, rooms and other forms of computing devices.

Note that the security advantage in this situation that justifies the extra expense is that these Biometric devices is one that separates the handling of issues regarding biometric information from the system operating system.

It is one that render it impossible for hackers to alter the authentication process.

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What type of email communication reaches out to former clients and older prospects and encourages a reply? Strategic email Onboarding email Reengagement email Promotional email

Answers

A type of email communication that reaches out to former clients and older prospects and encourages a reply is: C. reengagement email.

What is an e-mail?

An e-mail is an acronym for electronic mail and it can be defined as a software application (program) that is designed and developed to enable users send and receive both texts and multimedia messages over the Internet.

In Computer Networking, a reengagement email is a type of email communication that is designed and developed to reach out to former clients and older prospects, and it encourages a reply.

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Which of the following protocols is used by an email client to retrieve messages from an email server, giving users the option to keep mail messages on the server

Answers

IMAP  protocols is used by an email client to retrieve messages from an email server, giving users the option to keep mail messages on the server.

What is IMAP on one's email account?

IMAP is a term that connote Internet Message Access Protocol. IMAP helps one to be able to access the same inbox from a lot of devices.

Hence, IMAP  protocols is used by an email client to retrieve messages from an email server, giving users the option to keep mail messages on the server.

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The standard naming convention prefix tag for a query used to identify the object type is?

Answers

Answer: qry

I hope this helps!

Which is NOT a common pattern or architecting principle related to scalable computing? Publisher Subscriber Decoupling Disaster Recovery Producer Consumer

Answers

The option that is not a common pattern or architecting principle related to computing is Disaster Recovery.

What is Disaster recovery?

This is known to be a form of  organizational process that is often used so as to get back access and functionality in regards to  natural disaster, and others.

Note that the option that is not a common pattern or architecting principle related to scalable computing is Disaster Recovery.

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An intern at an IT company provisioned a Linux based On-demand EC2 instance with per-second billing but terminated it within 30 seconds as he wanted to provision another instance type. What is the duration for which the instance would be charged

Answers

The duration for which the instance would be charged is known to be c. 60 seconds in regards to the (Billing and Pricing).

What are pricing models?

Pricing modeling is known to be the ways or the methods a person is able or can use to know the right price for a products or services.

Note that in the case above, since it involves billing and pricing, The duration for which the instance would be charged is known to be c. 60 seconds.

See options below

a. 600 seconds

b. 300 seconds

c. 60 seconds

d. 30 seconds

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On a windows system, which task manager tab would you use to adjust the priority given to a specific program? details performance processes app history services

Answers

On a Windows operating system, the task manager tab which you would use to adjust the priority given to a specific program is: A. details.

What is a software program?

A software program can be defined as a set of executable instructions that is typically used to instruct a computer system on how to perform a specific task and proffer solutions to a particular problem.

What is an operating system?

An operating system (OS) can be defined as a system software that's usually pre-installed on a computing device by the manufacturers, so as to manage random access memory (RAM), software programs, computer hardware and all user processes.

On a Windows operating system, the details of the task manager tab should be used to adjust the priority given to a specific program.

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One of the many roles of the security compliance committee is to focus on controls that are widely used across a large population of applications, systems, and operations. These types of controls are known as ___________________.

Answers

ghffyhhuuhhhvccfghhnnnjki

Use the drop-down menus to complete the steps to set up cascading deletes between two related tables

Answers

The words that can the complete the steps to set up cascading deletes between two related tables are:

Database Tools The Line Connecting the Tables Cascade Delete Related Records.

What does cascade delete related fields mean?

Cascade Delete is known to be a kind of a function that  makes any records in associated tables to be deleted when one is in the process or act of deleting the current record.

For example, if a person were to delete any record that is seen or found  in the Clients table, a person would also be in the process of deleting any records in regards to the  Projects table with that specific Client No.

Hence, The words that can the complete the steps to set up cascading deletes between two related tables are:

Database Tools The Line Connecting the Tables Cascade Delete Related Records.

See full question below

Use the drop-down menus to complete the steps to set up cascading deletes between two related tables.

1. Click the

tab

2. In the Relationships group, click Relationships

3. Double-click

4. In the Edit Relationship dialog box, add a check mark next to

5. Click OK

Done

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Answer: late answer but for the other ppl - Database Tools , The line connecting the tables , and Cascade Delete Related Records.

The gradual process of developing functions to solve each subproblem in a top-down design is known as what process?

Answers

The gradual process of developing functions to solve each subproblem in a top-down design is known as stepwise refinement.

What is refinement?

The term refers to backlog preparation and is more properly known as refinement. It is the act of detailing, understanding more deeply, adding features, estimating, prioritizing and keeping the product backlog alive.

Stepwise refinement is the idea that software is developed by moving through the levels of abstraction, beginning at higher levels and, incrementally refining the software through each level of abstraction, providing more detail at each increment.

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Which reference line computation option requires you to specify the number of tiles?

Answers

The reference line computation option that requires you to specify the number of tiles is Quantiles.

What is Quantiles?

Quantiles serves as the one that breaks the view into the specified number of tiles  by the act of shading and lines.

It should be noted that  When you select this computation, you must also specify the number of tiles , hence, The reference line computation option that requires you to specify the number of tiles is Quantiles.

Quantiles  can be regarded as the cut points dividing the range of a probability distribution  which is been segregated into continuous intervals with equal probabilities.

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what epo server task updates the distributed repositories from the master repository if you are not using lazy caching

Answers

The EPO server task that updates the distributed repositories from the master repository if you are not using lazy caching is replication task.

What is a replication task?

A. replication task is known to be one that can multiply data from any Salesforce objects or any form of  database tables.

Hence, The EPO server task updates the distributed repositories from the master repository if a person is not using lazy caching and this is called replication task.

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This question involves the creation and use of a spinner to generate random numbers in a game. a gamespinner object represents a spinner with a given number of sectors, all equal in size. the gamespinner class supports the following behaviors.

creating a new spinner with a specified number of sectors
spinning a spinner and reporting the result
reporting the length of the current run, the number of consecutive spins that are the same as the most recent spin

write the complete gamespinner class. your implementation must meet all specifications and conform to the example.

Answers

Using the knowledge in computational language in JAVA it is possible to write a code that  generate random numbers in a game

Writting the code in JAVA:

public class GameSpinner {

int spinner;

int num;

int current;

public GameSpinner(int spinner) {

super();

this.spinner = spinner;

this.current = 0;

this.num = 0;

}

public int spin() {

int curr = 1 + (int) (Math.random() * spinner);

if (this.current == 0 || this.num == 0) {

this.current = 1;

this.num = curr;

return curr;

}

if (this.num == curr) {

this.current = this.current + 1;

return curr;

} else {

this.num = curr;

this.current = 1;

return curr;

}

}

public int currentRun() {

return this.current;

}

}

GameSpinnerTest.java

public class GameSpinnerTest {

public static void main(String[] args) {

// TODO Auto-generated method stub

GameSpinner g = new GameSpinner(4);

System.out.println("g.currentRun() : "+g.currentRun());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.currentRun() : "+g.currentRun());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.currentRun() : "+g.currentRun());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.currentRun() : "+g.currentRun());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.currentRun() : "+g.currentRun());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.spin() : "+g.spin());

System.out.println("g.currentRun() : "+g.currentRun());

}

}

Output

g.currentRun() : 0

g.spin() : 1

g.currentRun() : 1

g.spin() : 4

g.currentRun() : 1

g.spin() : 4

g.currentRun() : 2

g.spin() : 3

g.currentRun() : 1

g.spin() : 3

g.spin() : 2

g.spin() : 2

g.currentRun() : 2

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Which web 2.0 feature utilizes application programming interfaces (apis) to automate web content and/or processes?

Answers

Software as a service (SaaS) is known to be web 2.0 feature that utilizes application programming interfaces (apis) to automate web content and/or processes.

What is SaaS?

SaaS, or software as a service, is known to be a kind of an on-demand access that is said to be often in a ready-to-use format and it is also a cloud-hosted application software.

Note that Software as a service (SaaS) is known to be web 2.0 feature that utilizes application programming interfaces (apis) to automate web content and/or processes.

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Given a deque mydq is: 17 55 98, what remains in the deque after the function mydq.pop_back() has been called?

Answers

The factor that remains in the deque after the function mydq.pop_back() has been called 17 55.

What do you mean by deque?

Deque or Double Ended Queue is known to be a kind or type of queue where there is an insertion and deletion of elements that can be carried from the front or the rear.

Note that  the word deque, is known to be a short word for the term  double-ended queue. A deque is said to be a list that aids the placing and removal at both ends.

Therefore, based on the above, The factor that remains in the deque after the function mydq.pop_back() has been called 17 55.

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See full question below

32) Given a dequemyDgis: 17 55 98, what remains in the deque after the function myDQ.pop_back() has been called? a. 17 55 b. 17 C. 98 d. 55 98 33)

Any factor that leads businesses to collectively expect lower rates of return on their investments ______ investment demand.

Answers

Answer:

Reduces investment demand

What's the difference between an exe file and an msi file?

Answers

Answer: EXE files are mainly used to indicate that the file is executable

MSI files show that the file is a Windows Installer

Explanation:

EXE files are mainly used to indicate that the file is executable

MSI files show that the file is a Windows Installer

MSI files are only used with launchers, EXE does not need to be used with launchers

Hope this helped :)

______________________ refers to the real-time connection between a mobile device and other computing environments.

Answers

Answer:

Mobile Compunting refers to real time .... .

I HOPE IT HELP YOU

Whose email address may the agent enter into the applicant information section of LEAN enrollment application

Answers

It is the customer's email address may be entered into the applicant information section of LEAN enrollment application

What is LEAN enrollment application?

LEAN enrollment application is a kind of electronic enrollment program which is specifically designed to make enrollments easier for agent

So therefore, It is the customer's email address which may be entered into the applicant information section of LEAN enrollment application

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Identify the highlighted vessel. Identify the highlighted vessel. aortic arch superior vena cava brachiocephalic trunk left common carotid artery

Answers

The highlighted vessels of aortic arch, superior vena cava brachiocephalic trunk left common carotid artery are known to be given in the image attached.

What is the aortic arch?

This is often seen on the top area of the main artery and it is one that often carrying blood away from the human heart.

Hence The highlighted vessels of aortic arch, superior vena cava brachiocephalic trunk left common carotid artery are known to be given in the image attached.

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Most ________ take input from a controller from either a radio joystick or a wi-fi connected tablet or laptop and act as an output device, sending back video and sound to the user.

Answers

Most drones take input from a controller from either a radio joystick or a wi-fi connected tablet or laptop.

What is a drone used for?

Drones are known to be devices that are said to have a lot of functions, such as monitoring climate change and it is often used to carrying out a lot of search operations after natural disasters must have occurred, and others.

Note that in the case above, Most drones take input from a controller from either a radio joystick or a wi-fi connected tablet or laptop.

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Which Principle of Multimedia Learning is Marni following on a slide that has the main points highlighted and clearly visible to the audience?

A.
Multimedia Principle

B.
Redundancy Principle

C.
Coherence Principle

D.
Signaling Principle

Answers

The Principle of Multimedia Learning is Marni following on a slide that has the main points highlighted and clearly visible to the audience is the Signaling Principle.

What are the principles of multimedia learning?

The multimedia principle is known to be one that tells the fact that people learn a lot better using words and pictures instead of using words alone.

Note that it is one that is aided  by empirically gotten theory that tells that words and images bring about different conceptual acts and that perception and learning are said to be very active and are constructive processes.

Hence, The Principle of Multimedia Learning is Marni following on a slide that has the main points highlighted and clearly visible to the audience is the Signaling Principle.

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What describes accenture's approach to automation, both internally as well as for clients?

Answers

It's approach is to provide custom based services to it's client, mainly through a cloud based system that enable their clients to shift to an automatic system leading to better business operations.
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