What is Domain: Definition and 741 Discussions

A domain name is an identification string that defines a realm of administrative autonomy, authority or control within the Internet. Domain names are used in various networking contexts and for application-specific naming and addressing purposes. In general, a domain name identifies a network domain, or it represents an Internet Protocol (IP) resource, such as a personal computer used to access the Internet, a server computer hosting a website, or the web site itself or any other service communicated via the Internet. In 2017, 330.6 million domain names had been registered.Domain names are formed by the rules and procedures of the Domain Name System (DNS). Any name registered in the DNS is a domain name. Domain names are organized in subordinate levels (subdomains) of the DNS root domain, which is nameless. The first-level set of domain names are the top-level domains (TLDs), including the generic top-level domains (gTLDs), such as the prominent domains com, info, net, edu, and org, and the country code top-level domains (ccTLDs). Below these top-level domains in the DNS hierarchy are the second-level and third-level domain names that are typically open for reservation by end-users who wish to connect local area networks to the Internet, create other publicly accessible Internet resources or run web sites.
The registration of these domain names is usually administered by domain name registrars who sell their services to the public.
A fully qualified domain name (FQDN) is a domain name that is completely specified with all labels in the hierarchy of the DNS, having no parts omitted. Traditionally a FQDN ends in a dot (.) to denote the top of the DNS tree. Labels in the Domain Name System are case-insensitive, and may therefore be written in any desired capitalization method, but most commonly domain names are written in lowercase in technical contexts.

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  1. M

    What bracket is used to denote a number is excluded from a domain?

    When asked to find the domain, what bracket is used to denote that a number is excluded or included in the domain, ( or [?
  2. S

    Finding the domain of the square root of a polynomial

    I was just going through some problems in a maths journal for undergraduate level i found a sum seeming simple but i am not able to solve it completely find domain of \sqrt{x^{12} - x^9 + x^4 -x +1}i know domain includes all negative value , all positive value >1 , but i can't get anything...
  3. rocomath

    Domain, why are they both not defined?

    I'm currently self-studying ODE, text by Morris Tenenbaum, and I am confused by these 2 problems. z=\sqrt{-(x^2 + y^2)} D: (0,0) z=\sqrt{-(x^2 + y^2 +1)} undefined
  4. G

    What is the range of g(x) for arctan(2x)?

    http://www.math.yorku.ca/Who/Faculty/Kochman/M1300/solutions/solF04/SFE.pdf Question 2. I agree that the range of arctan is [-pi/2, pi/2], however due to the fact that we have arctan(2x), not just arctan(x), wouldn't that mean that the range of the g(x) function would be [-pi/4, pi/4]...
  5. B

    Finding the Domain of a Vector Function

    Homework Statement how to find the domain of an vector function? Homework Equations The Attempt at a Solution
  6. H

    Solving for Domain and Asymptotes in Functions f(x) and g(x)

    Please Help with Domain... Homework Statement For f(x) Determine Domain, Vertical Asymptote and x and y intercepts. then State and graph the effect of the modifications and sketch the graph of f(x) Given f(x) = - log3(x – 1) + 2 For g(x) determine domain, Horizontal asymptote and x...
  7. P

    Trying to determine domain of f(t)=4.5e^t

    heres a question I am trying to figure out if this equations domain f(t)=4.5e^t where e is 2.1783 im thinking that the answer is all positve numbers. because it can't equal zero so all negative numbers cause it to be 0
  8. R

    Why is the Domain of y=2x^2+12x+12 the Set of Real Numbers?

    Can someone please tell me why the domain of y=2x^2+12x+12 is x elementof IR
  9. H

    Domain and range, functions of 2 variables

    I'm having a bit of trouble grasping the domain and range of functions of 2 variables. Does anyone know of any helpful tutorials that will help me get the hang of this concept? Any help appreciated.
  10. M

    Find the natural domain of the function

    i have this question that i don't totally get what it wants exactly so if anyone can help me understand it correctly, thx Find the natural domain of the function algebraically,and confirm that your result is consistent with the graph produced by your graphing utility. note: set your graphing...
  11. F

    How do I correctly notate the domain and range of a function using sets?

    I was just wondering if you could write a functions domain and range with a set? Would it be something like D: {x \epsilon \mathbb{R} | any condtitions} R: {f(x) \epsilon \mathbb{R} | any condtitions} for any function f(x)?
  12. S

    How do I stretch the graph of y=x^3 horizontally by a factor of 3?

    1. Find the domain of the function 5x/8x^2+9 in interval notation. 2. 3. I believe the domain is all real numbers, but do not know what that would look like in interval notation. Could someone show me?
  13. rootX

    Domain of f o g: Finding the Range of Composed Functions

    Homework Statement if f\left( x\right) :=\frac{1}{x-1} for f(x) Doman (x != 1) g\left( x\right) :=\frac{1}{\sqrt{x+1}} for g(x), Domain (x >= -1) so for f(g(x)) the Domain would be (-1,0) U (0, inf)? or do I need to consider other things?
  14. F

    What is the domain of f(x)=ln(ln(ln(x)))?

    Can anyone explain how to get the domain of f(x)=ln(ln(ln(x)))? I am stuck at e^lnlnx > e^o... Thank you.
  15. 0

    Another question about the domain in a compound function

    ¿Could the domain of a compound function be obtained in the same way that non-compound functions? I think the answer is not, like in this example: f(x)=1/x² g(x)=√(2x-6) f(g(x))=1/(√(2x-6))² Recently Hurkyl explained me that (a^b)^c is not always equal to a^bc, although, I've proved this...
  16. 0

    About domain in a compound function

    In my book and in other places, they give this rule to obtain the domain for a compound function: "the domain of (f o g) (x) is the set of all real numbers x such that g(x) is in the domain of f (x)." Then, if f(x)=x^(1/4) and g(x)=x^2 f(g(x)) = (x^2)^(1/4) f(g(x)) = x^(1/2) And applying...
  17. K

    Domain & Range of 2x^2 + 4x - 3

    Find the domain & range of the function. 2x^2 + 4x - 3 I attempted to solved doing the following 2x^2 + 4x = 3 x^2 + 2x = 3/2 (divided by two) (x+1)^2 = 5/2 (completed the square & added one to both sides) (x+1)^2 - 5/2 = 0 So I put the range was (-5/2, infinity), but the book has...
  18. O

    Finding the Range & Domain of y = 24 - 2x

    I'm sorry for this, but what is the range and domain of the following function? y = 24 - 2x y has to be positive (y > 0) and x too (x > 0) How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra? I've found that x can only...
  19. B

    Ideals in an integral domain and Galois theory S_5

    Hi, I've attempted these problems since Sunday morning but I'm still stuck! Please help... These are not homework problems but these are some problems that I'm working on over the summer by myself. Homework Statement 1. Let I_1, I_2,... be ideals in an integral domain. a. If I_1...
  20. M

    Need some Domain and Range Help

    Hey here is the question has a few parts to it. Let f(x)= (x-1)^1/2 and g(x)= 2x^2/x^2+1 a) State the domain and range of f using interval notation. b) State the domain and range of g using interval notation. (Hint: At x=0, g is 0. For x(cannot=0) it helps to write g(x)=2/1+1/x^2 and...
  21. P

    If F is a field than does it imply it must also be a Euclidean domain?

    Homework Statement If F is a field than does it imply it must also be a Euclidean domain?The Attempt at a Solution Yes since for any a,b in F. a=bq for some q in R. In fact let q=(b^-1)a. So the remainder which occurs in a ED is always 0. So the rule for being a ED is satisfied in any field.
  22. D

    Finding the Right Web Hosting Service & Domain Name Cost

    Could somebody recommend to me a good web hosting service? Also, how much will a domain name cost me per year?
  23. K

    Find Time Domain Expression for Electric Field e(r,t) of Uniform Plane Wave

    1. Problem Statement Write time-domain expression for electric field e(r,t) of unifrom plane wave with amplitude Eo and frequency f= 1 GHz propagating in free space. The plane wave is propagating in yz plane, 30 degrees from the +y-axis, and 60 degress from -z axis. It is linearly polarized...
  24. P

    Can a subring exist in the same domain as its parent ring?

    Homework Statement If A is a subring of B and B is in a particular domain like a UFD than does it imply A is also in that domain B lives in hence also a UFD?The Attempt at a Solution Z is a ring but not a field. However Z mod p is a field. And Z mod p is a subring of Z. Although Z mod p is a...
  25. S

    What are the domain and range of this function?

    Say I define a function f by sending a well ordered set X to the least element in X. For example, if N is the natural numbers with the usual ordering, then f(N)=1. This function seems to be well defined. I guess its domain is the set of well ordered sets, but this sounds strange. Whats even...
  26. L

    Aaah - sin(wt) - time or frequency domain?

    Aaah! - sin(wt) - time or frequency domain?! hi guys going a bit blank now... been thinking a bit too much about time and frequency domain to a point where I've confused myself a bit... The well known function: f(t) = sin(wt) It is evident that this expression is in the time...
  27. U

    How to become a domain registrar

    How can i become a domain registerater n start selling domains?
  28. Repetit

    Dp/dt in the relativistic domain

    Just a quick question which came to my mind when reading a historical article on Newtons second law. Is \overrightarrow{F}=\frac{d\overrightarrow{p}}{dt} correct in the relativistic domain because the mass is not necessarily constant?
  29. A

    F(g(x)) problem, about the domain.

    Ok, f(x)=x^2 g(x)=sq.rt.(2-x) Problem: f(g(x)) You end up with the answer 2-x but how come you need a domain for the answer? How come the domain is (-infinity,2]?
  30. murshid_islam

    What is the domain of this function?

    suppose x is a real variable. what is the domain of the function \sqrt{{x-3}\over{x-1}}? here {{x-3} \over {x-1}} \geq 0 from this we get the domain to be \left(-\infty, 1\right) \cup \left[3, \infty\right) but if we write the function \sqrt{{x-3}\over{x-1}} =...
  31. S

    Domain of a multivariable eq'n

    Ok, i think i understand this one, but it's giving me a bit of trouble in terms of comprehension, so I thought I'd get some help on it. I need to find and sketch the domain for: f(x,y)= \frac{x^2 + y^3}{x^2 + y^2 -1} The way i see it, that would only be undefined when the denominator...
  32. N

    How to Leave a Network Domain?

    Hi everyone, After recently moving from my workplace to work remotely using a laptop back in blighty, I found my work-borrowed laptop is part of a network domain. This prevents me from using the network wizard to setup a new connection to the internet through my wireless network at home...
  33. M

    Find the domain of definition and then the limit

    okay i have three limits, i did one and the two others i m stuck... well here 1. limit when x tends to zero of (x-sin(px)) / (x-sin(qx)) p and q are positive integers. for this one i have no idea what to do, i never worked with p or q... 2. limit when x tends to zero of the function...
  34. M

    Finding the Truth Set of a Predicate: 1 <= x^2 <= 4, domain: Z

    Hello everyone! I was wondering if someone could check to see if i did this problem correctly. THe directions are the following: Fid the truth set of each predicate. predicate: 1 <= x^2 <= 4, domain: Z. Where Z stands for integers and <= stands for less than or equal to. The book did...
  35. J

    Solve f(t) = 3: Finding Domain of f(t) = sqrt(t2 - 16)

    If f(t) = sqrt(t2 - 16), find all values of t for which f(t) is a real number. Solve f(t) = 3. All right, I know that I have to find values of t that would make the expression under the radical negative. I was trying to set up an equation to just get the domain. t2 - 16 > 0 this would...
  36. mbrmbrg

    Is the Domain of the Derivative Always Larger Than the Domain of Its Function?

    Can the domain of f'(x) be larger than the domain of f(x)? Here's my work, as per the rules:smile: The problem I'm working on states f(x) = x + √x and says to find f'(x), the domain of f(x), and the domain of f'(x). I found that f'(x)=1, so I want to say that its domain is all real...
  37. P

    Why Use Open Sets in Topology?

    I am doing a bit of complex analysis and there is a definition: An open connected subset of C is called a domain. Why do they choose open instead of closed? Why not include a closed connected subset of C be a domain also?
  38. R

    Understanding the Domain of 10/ln x for Confused Learners

    I'm confused on this domain question 10/ln x I really don't know where to start. Do I graph it and then go from there? :confused:
  39. R

    What is the Domain of x^2-6x+9 / x^2?

    Here is the problem again x^2-6x+9 / x^2 I think the answer is "all real numbers", but I don't know. I'm not used to seeing only x^2. Most of the ones I have done are x^2 - 4 or something like that.
  40. K

    Domain and Range of the functions

    Please can anybody help me on this two functions it confuse me because has two and thee variables. Find the Domain and Range of each of the following functions a)f(x,x)=\sqrt{\frac{x-y}{x+y}} b)f(x,y)=\[in{(x^2+y^2+z^2)}
  41. C

    Why is every finite Integral Domain a field?

    Any explanation would be great. Also, are there any examples of finite Integral domains that aren't fields?
  42. dduardo

    What is the longest Swedish domain name?

    I'm sure you will all appreciate this. Click http://3.14159265358979323846264338327950288419716939937510582097494459.info/"
  43. S

    Discovering the Value of a Capacitor in a Circuit: S Domain Analysis Help

    I have a homework problem that goes something like this: There's a circuit, A capacitor in parallel with a resistor, and those two are in series with another resistor. The values of the resistors are given, but the capacitor's is not. Then its given that Z(s) of the circuit equals some...
  44. V

    What Is the Domain of the Function f(x)=2x/sqrt(x^2+x+1)?

    Please Help! Let f be the function given by f(x)=2x/sqrt(x^2+x+1) a)Find the domain for f. Justify your answer. b)Write an equation for each horizontal asymptote of the graph f. c)Find the range of f. Use f'(x) to justify your answer. Note: f'(x)=(x+2)/(x^2 +x+1)^.5 Please help...
  45. C

    Need the domain of integral values that satisfy

    I have this inequality: 4x^2 - 160x + 1500 \le 900 I brought the 900 to the LHS and found the roots (35.81, 4.19). Now I just need the domain of integral values that satisfy. Can I say 5 \le x \le 35?
  46. S

    Am I doing this correctly? (s domain analysis)

    The switch in the following circuit has been close for a long time and is opened at t = 0. Transform the circuit into the s doman and solve for Isubl(s) and Isubl(t) in symbolic form. I've only found Isubl(s) so far, and I want to see how I'm doing before I convert it back to the time...
  47. K

    Can Science Verify the Cosmological Principle Beyond 10 Billion Light Years?

    It can be said that whatever is outside the observational domain of scientists is outside the observational domain of science itself. How can it then be supported at all that historical entities can be shown to exist using science? Of course, a historical entity which exists to this day can of...
  48. Pengwuino

    What does it mean to have something in the public domain

    What does it mean to have something in the "public domain" Someone noted in another thread that when something is printed in the newspaper, it is free to use by all and is in the public domain. Obviously this isn't true but i was wondering what is the legal requirements for something to be...
  49. U

    Determine the domain and range of limit

    diagram: http://img.photobucket.com/albums/v629/ussjt/math3.jpg A thin equilateral triangular block of the side length 1 unit has its face in the vertical xy-plane with vertex V at the origin. Under the influence of gravity, it will rotate about V until a side hits the x-axis floor (see...
  50. A

    Questions about Representing Signals in Frequency Domain

    I have a couple of questions regarding the representation of a signal in the frequency domain I wish someone could help me with.. 1-why is it when we represent a non-periodic signal in the frequency domain it is continuous while the frequency domain of a periodic signal is discrete ...
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