$lceil frac{n}{2} rceil = n$? Is this valid? [closed]
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$forall n in mathbb{N},lceil frac{n}{2} rceil = n$? Is this valid? And what about $lfloor frac{n}{2} rfloor = n-1$?
ceiling-function
asked Nov 20 at 13:53
YFP
445
closed as off-topic by darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus Nov 21 at 8:11
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
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up vote
-2
down vote
favorite
$forall n in mathbb{N},lceil frac{n}{2} rceil = n$? Is this valid? And what about $lfloor frac{n}{2} rfloor = n-1$?
ceiling-function
asked Nov 20 at 13:53
YFP
445
closed as off-topic by darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus Nov 21 at 8:11
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
2
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
1
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04
|
show 2 more comments
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
$forall n in mathbb{N},lceil frac{n}{2} rceil = n$? Is this valid? And what about $lfloor frac{n}{2} rfloor = n-1$?
ceiling-function
asked Nov 20 at 13:53
YFP
445
$forall n in mathbb{N},lceil frac{n}{2} rceil = n$? Is this valid? And what about $lfloor frac{n}{2} rfloor = n-1$?
ceiling-function
ceiling-function
asked Nov 20 at 13:53
YFP
445
asked Nov 20 at 13:53
YFP
445
edited Nov 20 at 13:56
asked Nov 20 at 13:53
YFP
445
asked Nov 20 at 13:53
YFP
445
asked Nov 20 at 13:53
YFP
445
445
closed as off-topic by darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus Nov 21 at 8:11
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus Nov 21 at 8:11
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – darij grinberg, Lord Shark the Unknown, Chinnapparaj R, Shailesh, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
2
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
1
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04
|
show 2 more comments
2
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
1
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04
2
2
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
1
1
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04
|
show 2 more comments
1 Answer
1
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up vote
1
down vote
accepted
I would say the inequality, i.e. $ lceil frac{n}{2} rceil leq n$ is true, rather than an equality, for $forall n in mathbb{N}$.
answered Nov 20 at 14:08
HKT
433217
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
I would say the inequality, i.e. $ lceil frac{n}{2} rceil leq n$ is true, rather than an equality, for $forall n in mathbb{N}$.
answered Nov 20 at 14:08
HKT
433217
add a comment |
up vote
1
down vote
accepted
I would say the inequality, i.e. $ lceil frac{n}{2} rceil leq n$ is true, rather than an equality, for $forall n in mathbb{N}$.
answered Nov 20 at 14:08
HKT
433217
add a comment |
up vote
1
down vote
accepted
up vote
1
down vote
accepted
I would say the inequality, i.e. $ lceil frac{n}{2} rceil leq n$ is true, rather than an equality, for $forall n in mathbb{N}$.
answered Nov 20 at 14:08
HKT
433217
I would say the inequality, i.e. $ lceil frac{n}{2} rceil leq n$ is true, rather than an equality, for $forall n in mathbb{N}$.
answered Nov 20 at 14:08
HKT
433217
answered Nov 20 at 14:08
HKT
433217
answered Nov 20 at 14:08
HKT
433217
answered Nov 20 at 14:08
HKT
433217
433217
add a comment |
add a comment |
2
You mean the ceiling function? What if $n=2$?
– lulu
Nov 20 at 13:55
1
What is your definition of $lceil x rceil$? Did you try some values for $n$?
– Martin R
Nov 20 at 13:55
@lulu Okay so, would $lceil frac{n}{2} rceil leq n$ be valid here? As in, an inequality rather than an equality?
– YFP
Nov 20 at 13:59
try to perform some example, if $n$ is even thne $n/2$ is an integer clearly less then $n$, what happen if $n$ is odd?
– ALG
Nov 20 at 14:02
@ALG So I find the inequality is true for when $n$ is odd..
– YFP
Nov 20 at 14:04