• Log InLog In
  • Register
Liquid`
Team Liquid Liquipedia
EDT 20:33
CEST 02:33
KST 09:33
  • Home
  • Forum
  • Calendar
  • Streams
  • Liquipedia
  • Features
  • Store
  • EPT
  • TL+
  • StarCraft 2
  • Brood War
  • Smash
  • Heroes
  • Counter-Strike
  • Overwatch
  • Liquibet
  • Fantasy StarCraft
  • TLPD
  • StarCraft 2
  • Brood War
  • Blogs
Forum Sidebar
Events/Features
News
Featured News
[ASL21] Ro4 Preview: On Course12Code S Season 1 - RO8 Preview7[ASL21] Ro8 Preview Pt2: Progenitors8Code S Season 1 - RO12 Group A: Rogue, Percival, Solar, Zoun13[ASL21] Ro8 Preview Pt1: Inheritors16
Community News
Weekly Cups (May 4-10): Clem, MaxPax, herO win1Maestros of The Game 2 announcement and schedule !11Weekly Cups (April 27-May 4): Clem takes triple0RSL Revival: Season 5 - Qualifiers and Main Event12Code S Season 1 (2026) - RO12 Results1
StarCraft 2
General
MaNa leaves Team Liquid Weekly Cups (May 4-10): Clem, MaxPax, herO win Code S Season 1 - RO8 Preview Behind the Blue - Team Liquid History Book Weekly Cups (April 27-May 4): Clem takes triple
Tourneys
2026 GSL Season 2 Qualifiers Maestros of The Game 2 announcement and schedule ! $5,000 WardiTV Spring Championship 2026 SC2 INu's Battles#16 <BO.9> Master Swan Open (Global Bronze-Master 2)
Strategy
Custom Maps
[D]RTS in all its shapes and glory <3 [A] Nemrods 1/4 players
External Content
Mutation # 525 Wheel of Misfortune The PondCast: SC2 News & Results Mutation # 524 Death and Taxes Mutation # 523 Firewall
Brood War
General
Quality of life changes in BW that you will like ? Flashes ASL S21 Ro8 Review ASL Tickets to Live Event Finals? BW General Discussion Pros React To: Leta vs Tulbo (ASL S21, Ro.8)
Tourneys
[ASL21] Semifinals A [BSL22] RO8 Bracket Stage + Another TieBreaker [ASL21] Semifinals B [ASL21] Ro8 Day 4
Strategy
Fighting Spirit mining rates [G] Hydra ZvZ: An Introduction Simple Questions, Simple Answers Muta micro map competition
Other Games
General Games
Warcraft III: The Frozen Throne Nintendo Switch Thread Stormgate/Frost Giant Megathread Starcraft Tabletop Miniature Game PC Games Sales Thread
Dota 2
The Story of Wings Gaming
League of Legends
Heroes of the Storm
Simple Questions, Simple Answers Heroes of the Storm 2.0
Hearthstone
Deck construction bug Heroes of StarCraft mini-set
TL Mafia
Vanilla Mini Mafia Mafia Game Mode Feedback/Ideas TL Mafia Community Thread Five o'clock TL Mafia
Community
General
US Politics Mega-thread Russo-Ukrainian War Thread UK Politics Mega-thread YouTube Thread European Politico-economics QA Mega-thread
Fan Clubs
The IdrA Fan Club
Media & Entertainment
[Manga] One Piece Anime Discussion Thread [Req][Books] Good Fantasy/SciFi books
Sports
2024 - 2026 Football Thread McBoner: A hockey love story Formula 1 Discussion
World Cup 2022
Tech Support
streaming software Strange computer issues (software) [G] How to Block Livestream Ads
TL Community
The Automated Ban List
Blogs
How EEG Data Can Predict Gam…
TrAiDoS
ramps on octagon
StaticNine
Funny Nicknames
LUCKY_NOOB
Customize Sidebar...

Website Feedback

Closed Threads



Active: 1286 users

Nightmare Math Problem.

Blogs > Sgany
Post a Reply
1 2 Next All
Sgany
Profile Blog Joined July 2010
United Kingdom790 Posts
Last Edited: 2011-08-21 02:07:12
August 21 2011 02:03 GMT
#1
Ok tonight while I was watching a movie with the family it started buffering as it was being streamed. This made me think what is the number of seconds(to keep it simple) I must pause the video to, until I can watch it without it buffering again. Sounds simple right, well it turns into a nightmare.

The formula I have got are different for nearly every ratio.

A ratio of 10seconds playback(We shall call this V) and 12 seconds Buffering(We will call this B) is completely different than a ratio of 3V: 7B

For 3v: 7b I found out the % ratio which was 1%:2.33333333% and then worked out the critical mass was 53%, but I am unable to work out the critical mass for 10v:12b and other different ratios.

Could anyone help me come up with a global solution for this problem?

NaDa <3, MMA <3, Bisu <3,
Probe1
Profile Blog Joined August 2010
United States17920 Posts
Last Edited: 2011-08-21 14:03:50
August 21 2011 02:04 GMT
#2
It'd help if you quit smoking cigars when you're trying to solve complex formulas.

Edit: <3 I meant no cruelness but looking back I was a bit crass. Thanks for not jumping down my throat for the joke :p
우정호 KT_VIOLET 1988 - 2012 While we are postponing, life speeds by
Sgany
Profile Blog Joined July 2010
United Kingdom790 Posts
August 21 2011 02:07 GMT
#3
On August 21 2011 11:04 Probe1 wrote:
It'd help if you quit smoking cigars when you're trying to solve complex formulas.


Fixed :D Thanks for that sir
NaDa <3, MMA <3, Bisu <3,
cz
Profile Blog Joined August 2007
United States3249 Posts
August 21 2011 02:11 GMT
#4
On August 21 2011 11:07 Sgany wrote:
Show nested quote +
On August 21 2011 11:04 Probe1 wrote:
It'd help if you quit smoking cigars when you're trying to solve complex formulas.


Fixed :D Thanks for that sir


Thanks for what?
Lixler
Profile Joined March 2010
United States265 Posts
Last Edited: 2011-08-21 02:12:24
August 21 2011 02:11 GMT
#5
I too have devoted much thought to this most interesting of problems. Basically, we assume a constant loading rate and assume that this rate is lower than the playing rate, which is always 1 second/1second. In order to pause the least, we need our loaded amount to reach the total at exactly the same moment our watched amount reaches the total. So we need to pre-load Total - Loading rate*playtime. But playtime = total, so we can simplify to total*(1-loading rate). For a video of, say, 10 seconds and a loading rate of .5 seconds/second, we get that we need to load 5 seconds in advance. During those 5 seconds, we will load 2.5 seconds, putting us at 7.5 seconds. During those 2.5 seconds, we will load 1.25 seconds, putting us at 8.75 seconds. And we will asymptotically approach having watched the video, exactly as Zeno would have predicted.
huameng
Profile Blog Joined April 2007
United States1133 Posts
August 21 2011 02:12 GMT
#6
Can you explain what that ratio means? I feel like just finding the sum of an infinite geometric series will get your answer but then again I don't really understand your post.
skating
Sgany
Profile Blog Joined July 2010
United Kingdom790 Posts
August 21 2011 02:12 GMT
#7
On August 21 2011 11:11 cz wrote:
Show nested quote +
On August 21 2011 11:07 Sgany wrote:
On August 21 2011 11:04 Probe1 wrote:
It'd help if you quit smoking cigars when you're trying to solve complex formulas.


Fixed :D Thanks for that sir


Thanks for what?


When I typed 3V: 7B it came up as 3V:7B, he pointed out the error
NaDa <3, MMA <3, Bisu <3,
cz
Profile Blog Joined August 2007
United States3249 Posts
August 21 2011 02:13 GMT
#8
On August 21 2011 11:11 Lixler wrote:
I too have devoted much thought to this most interesting of problems. Basically, we assume a constant loading rate and assume that this rate is lower than the playing rate, which is always 1 second/1second. In order to pause the least, we need our loaded amount to reach the total at exactly the same moment our watched amount reaches the total. So we need to pre-load Total - Loading rate*playtime. But playtime = total, so we can simplify to total*(1-loading rate). For a video of, say, 10 seconds and a loading rate of .5 seconds/second, we get that we need to load 5 seconds in advance. During those 5 seconds, we will load 2.5 seconds, putting us at 7.5 seconds. During those 2.5 seconds, we will load 1.25 seconds, putting us at 8.75 seconds. And we will asymptotically approach having watched the video, exactly as Zeno would have predicted.


Zeno, the guy who works at Best Buy? Never knew he was good about this stuff, even tho he sold me a sweet LG plasma a week ago...
Hypertension
Profile Joined April 2011
United States802 Posts
August 21 2011 02:19 GMT
#9
How long it takes to buffer 1 second = B
Length of video in seconds = V
Waiting time = B*V-V
Buy boots first. Boots good item.
Sgany
Profile Blog Joined July 2010
United Kingdom790 Posts
August 21 2011 02:22 GMT
#10
On August 21 2011 11:19 Hypertension wrote:
How long it takes to buffer 1 second = B
Length of video in seconds = V
Waiting time = B*V-V


That is simple to work out, what I want to know is the time it takes for the video WHILE buffering to reach a point where it is not completely buffered, but I can play it without it having to buffer at all.
NaDa <3, MMA <3, Bisu <3,
Severedevil
Profile Blog Joined April 2009
United States4839 Posts
Last Edited: 2011-08-21 02:33:51
August 21 2011 02:24 GMT
#11
Okay. You know how long the video is supposed to last; we'll call that the 'video time' and denote it by v. You don't know how long the video will take to buffer; we'll call that the 'buffer time', b.)

Now, how long do you have to pause your video and let it pre-buffer? The answer is however long it takes to buffer the full video, minus the amount of time it takes to play the full video, or b - v. If you want that as a percentage of the total buffer time, it's (b - v) / b, which is equal to 1 - (v / b).

You've already found v / b; it's the ratio you calculated. So just subtract it from 1, and you're done. (Multiply by a 100 if you want a percentage.)

So, for 10v:12b, you get 1 - (10/12) = ~17%. (This is the 'critical mass' point. You can start playing the video, and it will finish buffering right before you finish watching it. Assuming the video buffers at a constant rate, which may not be true.)

Also, I'm stealing this as a highly relatable algebra problem for students.
My strategy is to fork people.
sidr
Profile Blog Joined May 2008
United States55 Posts
Last Edited: 2011-08-21 02:31:04
August 21 2011 02:29 GMT
#12
I may be understanding this wrongly, but suppose we have L seconds left in our video and we buffer at a rate or R (R < 1, else no problem) playseconds/second. Then, buffering P (0<P<1) percent of the way and then playing the rest of the video, we want time in playseconds to buffer the rest = (L-PL) / R = L. Thus, L-PL = RL so PL = (1-R) L or P = 1-R. For your case, if R = (10 playseconds) / (12seconds), P = 1/6, i.e. if you let the video buffer for up to 1/6 of the remaining time, then play, you should have uninterrupted playback. I'm unsure exactly what critical mass means in your statement, however, so I may have completely misunderstood the problem

Edit: darn beaten
zEMPd
Profile Joined June 2011
Angola259 Posts
August 21 2011 02:30 GMT
#13
I have come up with the answer 7.
Hypertension
Profile Joined April 2011
United States802 Posts
August 21 2011 02:34 GMT
#14
On August 21 2011 11:22 Sgany wrote:
Show nested quote +
On August 21 2011 11:19 Hypertension wrote:
How long it takes to buffer 1 second = B
Length of video in seconds = V
Waiting time = B*V-V


That is simple to work out, what I want to know is the time it takes for the video WHILE buffering to reach a point where it is not completely buffered, but I can play it without it having to buffer at all.



That is the waiting time, if you wait B*V-V seconds, you can start watching safely, assuming your internet has zero hiccups.
Buy boots first. Boots good item.
Sgany
Profile Blog Joined July 2010
United Kingdom790 Posts
Last Edited: 2011-08-21 02:43:28
August 21 2011 02:35 GMT
#15
On August 21 2011 11:24 Severedevil wrote:
Okay. You know how long the video is supposed to last; we'll call that the 'video time' and denote it by v. You don't know how long the video will take to buffer; we'll call that the 'buffer time', b.)

Now, how long do you have to pause your video and let it pre-buffer? The answer is however long it takes to buffer the full video, minus the amount of time it takes to play the full video, or b - v. If you want that as a percentage of the total buffer time, it's (b - v) / b, which is equal to 1 - (v / b).

You've already found v / b; it's the ratio you calculated. So just subtract it from 1, and you're done. (Multiply by a 100 if you want a percentage.)

So, for 10v:12b, you get 1 - (10/12) = ~17%.

Also, I'm stealing this as a highly relatable algebra problem for students.


I love you and the other guys who mentioned this <3 It is a lot simplier if you do not use odd B to V ratios like 3v: 7b and ratios like 1v: 7b instead thank you sir :D
NaDa <3, MMA <3, Bisu <3,
ghrur
Profile Blog Joined May 2009
United States3786 Posts
August 21 2011 02:35 GMT
#16
On August 21 2011 11:24 Severedevil wrote:
Okay. You know how long the video is supposed to last; we'll call that the 'video time' and denote it by v. You don't know how long the video will take to buffer; we'll call that the 'buffer time', b.)

Now, how long do you have to pause your video and let it pre-buffer? The answer is however long it takes to buffer the full video, minus the amount of time it takes to play the full video, or b - v. If you want that as a percentage of the total buffer time, it's (b - v) / b, which is equal to 1 - (v / b).

You've already found v / b; it's the ratio you calculated. So just subtract it from 1, and you're done. (Multiply by a 100 if you want a percentage.)

So, for 10v:12b, you get 1 - (10/12) = ~17%. (This is the 'critical mass' point. You can start playing the video, and it will finish buffering right before you finish watching it. Assuming the video buffers at a constant rate, which may not be true.)

Also, I'm stealing this as a highly relatable algebra problem for students.


What this guy said. It's basically a geometric series.
darkness overpowering
itachisan
Profile Blog Joined June 2011
Canada109 Posts
August 21 2011 03:08 GMT
#17
nerds

User was warned for this post
SarR
Profile Joined June 2011
476 Posts
August 21 2011 05:41 GMT
#18
On August 21 2011 12:08 itachisan wrote:
nerds

User was warned for this post

Paraphrase:-
"Watching all these people talk about stuff that I cant understand makes me feel like a dumbass and left out because it reminds me that I'm intellectually inadequate which renders me unable to participate in intelligent discussions. In order to salvage some pride, I'm going to attempt to make them feel like they are the losers by labeling them using a word which traditionally carries such connotations thereby making me feel superior by virtue of being intellectually inadequate. In other words I get to be "cool" by not knowing shit"
itachisan
Profile Blog Joined June 2011
Canada109 Posts
August 21 2011 15:52 GMT
#19
On August 21 2011 14:41 SarR wrote:
Show nested quote +
On August 21 2011 12:08 itachisan wrote:
nerds

User was warned for this post

Paraphrase:-
"Watching all these people talk about stuff that I cant understand makes me feel like a dumbass and left out because it reminds me that I'm intellectually inadequate which renders me unable to participate in intelligent discussions. In order to salvage some pride, I'm going to attempt to make them feel like they are the losers by labeling them using a word which traditionally carries such connotations thereby making me feel superior by virtue of being intellectually inadequate. In other words I get to be "cool" by not knowing shit"


^ nerd.

User was temp banned for this post.
xxpack09
Profile Blog Joined September 2010
United States2160 Posts
August 21 2011 16:10 GMT
#20
On August 22 2011 00:52 itachisan wrote:
Show nested quote +
On August 21 2011 14:41 SarR wrote:
On August 21 2011 12:08 itachisan wrote:
nerds

User was warned for this post

Paraphrase:-
"Watching all these people talk about stuff that I cant understand makes me feel like a dumbass and left out because it reminds me that I'm intellectually inadequate which renders me unable to participate in intelligent discussions. In order to salvage some pride, I'm going to attempt to make them feel like they are the losers by labeling them using a word which traditionally carries such connotations thereby making me feel superior by virtue of being intellectually inadequate. In other words I get to be "cool" by not knowing shit"


^ nerd.


rofl

gets warned then immidiately makes the same post again

Is there a reason you agressively lash out at people who have different interests than you?
1 2 Next All
Please log in or register to reply.
Live Events Refresh
Replay Cast
00:00
2026 GSL Season 2: Qualifiers
CranKy Ducklings72
LiquipediaDiscussion
[ Submit Event ]
Live Streams
Refresh
StarCraft 2
SpeCial 196
Nina 78
CosmosSc2 40
StarCraft: Brood War
GuemChi 5849
Artosis 585
NaDa 15
Dota 2
NeuroSwarm156
League of Legends
Doublelift3717
Counter-Strike
fl0m4512
Super Smash Bros
hungrybox1133
Other Games
summit1g11325
tarik_tv3515
monkeys_forever758
Day[9].tv750
shahzam689
C9.Mang0453
WinterStarcraft339
JimRising 297
Maynarde125
ViBE58
Mew2King33
Organizations
Other Games
gamesdonequick728
BasetradeTV604
StarCraft 2
Blizzard YouTube
StarCraft: Brood War
BSLTrovo
[ Show 14 non-featured ]
StarCraft 2
• Hupsaiya 194
• davetesta24
• AfreecaTV YouTube
• intothetv
• Kozan
• IndyKCrew
• LaughNgamezSOOP
• Migwel
• sooper7s
StarCraft: Brood War
• BSLYoutube
• STPLYoutube
• ZZZeroYoutube
Other Games
• Scarra868
• Day9tv750
Upcoming Events
The PondCast
9h 28m
OSC
9h 28m
Replay Cast
23h 28m
RSL Revival
1d 9h
OSC
1d 12h
Korean StarCraft League
2 days
RSL Revival
2 days
BSL
2 days
Bonyth vs Doodle
Dewalt vs TerrOr
GSL
3 days
Cure vs herO
SHIN vs Maru
BSL
3 days
OyAji vs JDConan
DragOn vs TBD
[ Show More ]
Replay Cast
4 days
Monday Night Weeklies
4 days
Replay Cast
4 days
The PondCast
5 days
GSL
6 days
Replay Cast
6 days
Liquipedia Results

Completed

Proleague 2026-05-12
WardiTV TLMC #16
Nations Cup 2026

Ongoing

BSL Season 22
ASL Season 21
IPSL Spring 2026
KCM Race Survival 2026 Season 2
Acropolis #4
KK 2v2 League Season 1
BSL 22 Non-Korean Championship
SCTL 2026 Spring
RSL Revival: Season 5
2026 GSL S1
Asian Champions League 2026
IEM Atlanta 2026
PGL Astana 2026
BLAST Rivals Spring 2026
IEM Rio 2026
PGL Bucharest 2026
Stake Ranked Episode 1
BLAST Open Spring 2026
ESL Pro League S23 Finals
ESL Pro League S23 Stage 1&2

Upcoming

Escore Tournament S2: W7
YSL S3
Escore Tournament S2: W8
CSLAN 4
Kung Fu Cup 2026 Grand Finals
HSC XXIX
uThermal 2v2 2026 Main Event
Maestros of the Game 2
WardiTV Spring 2026
2026 GSL S2
BLAST Bounty Summer 2026: Closed Qualifier
Stake Ranked Episode 3
XSE Pro League 2026
IEM Cologne Major 2026
Stake Ranked Episode 2
CS Asia Championships 2026
TLPD

1. ByuN
2. TY
3. Dark
4. Solar
5. Stats
6. Nerchio
7. sOs
8. soO
9. INnoVation
10. Elazer
1. Rain
2. Flash
3. EffOrt
4. Last
5. Bisu
6. Soulkey
7. Mini
8. Sharp
Sidebar Settings...

Advertising | Privacy Policy | Terms Of Use | Contact Us

Original banner artwork: Jim Warren
The contents of this webpage are copyright © 2026 TLnet. All Rights Reserved.