Constant factor of an array
$begingroup$
In Elements of Programming Interviews in Python by Aziz, Lee and Prakash, they state on page 41:
Insertion into a full array can be handled by resizing, i.e.,
allocating a new array with additional memory and copying over the
entries from the original array. This increases the worst-case time of
insertion, but if the new array has, for example, a constant factor
larger than the original array, the average time for insertion is
constant since resizing is infrequent.
I grasp the concept of amortization that seems to be implied here, yet they seem to imply that in other cases, a newly allocated array could possess a constant factor smaller than the original array. Is that so? What does "constant factor" mean in this particular context? I'm having trouble understanding what's being said here.
algorithm-analysis
New contributor
$endgroup$
add a comment |
$begingroup$
In Elements of Programming Interviews in Python by Aziz, Lee and Prakash, they state on page 41:
Insertion into a full array can be handled by resizing, i.e.,
allocating a new array with additional memory and copying over the
entries from the original array. This increases the worst-case time of
insertion, but if the new array has, for example, a constant factor
larger than the original array, the average time for insertion is
constant since resizing is infrequent.
I grasp the concept of amortization that seems to be implied here, yet they seem to imply that in other cases, a newly allocated array could possess a constant factor smaller than the original array. Is that so? What does "constant factor" mean in this particular context? I'm having trouble understanding what's being said here.
algorithm-analysis
New contributor
$endgroup$
add a comment |
$begingroup$
In Elements of Programming Interviews in Python by Aziz, Lee and Prakash, they state on page 41:
Insertion into a full array can be handled by resizing, i.e.,
allocating a new array with additional memory and copying over the
entries from the original array. This increases the worst-case time of
insertion, but if the new array has, for example, a constant factor
larger than the original array, the average time for insertion is
constant since resizing is infrequent.
I grasp the concept of amortization that seems to be implied here, yet they seem to imply that in other cases, a newly allocated array could possess a constant factor smaller than the original array. Is that so? What does "constant factor" mean in this particular context? I'm having trouble understanding what's being said here.
algorithm-analysis
New contributor
$endgroup$
In Elements of Programming Interviews in Python by Aziz, Lee and Prakash, they state on page 41:
Insertion into a full array can be handled by resizing, i.e.,
allocating a new array with additional memory and copying over the
entries from the original array. This increases the worst-case time of
insertion, but if the new array has, for example, a constant factor
larger than the original array, the average time for insertion is
constant since resizing is infrequent.
I grasp the concept of amortization that seems to be implied here, yet they seem to imply that in other cases, a newly allocated array could possess a constant factor smaller than the original array. Is that so? What does "constant factor" mean in this particular context? I'm having trouble understanding what's being said here.
algorithm-analysis
algorithm-analysis
New contributor
New contributor
New contributor
asked 3 hours ago
lispHK01lispHK01
1061
1061
New contributor
New contributor
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
That's probably a typo or poor wording -- in the quote, "has" should be "is".
$endgroup$
add a comment |
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "419"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
lispHK01 is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcs.stackexchange.com%2fquestions%2f107292%2fconstant-factor-of-an-array%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
That's probably a typo or poor wording -- in the quote, "has" should be "is".
$endgroup$
add a comment |
$begingroup$
That's probably a typo or poor wording -- in the quote, "has" should be "is".
$endgroup$
add a comment |
$begingroup$
That's probably a typo or poor wording -- in the quote, "has" should be "is".
$endgroup$
That's probably a typo or poor wording -- in the quote, "has" should be "is".
answered 3 hours ago
D.W.♦D.W.
104k14130296
104k14130296
add a comment |
add a comment |
lispHK01 is a new contributor. Be nice, and check out our Code of Conduct.
lispHK01 is a new contributor. Be nice, and check out our Code of Conduct.
lispHK01 is a new contributor. Be nice, and check out our Code of Conduct.
lispHK01 is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Computer Science Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcs.stackexchange.com%2fquestions%2f107292%2fconstant-factor-of-an-array%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown