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salaam bombay
'Slumdog Millionaire' to 'Hymn for the Weekend': International projects that have highlighted the stereotypes associated with India
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In the West, people laugh at Bollywood's formula films: Farrukh Dhondy
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The Good Road: The reasons behind its selection as India's Oscar entry
Gyan Correa's debut Gujarati movie 'The Good Road' is a lost-and-found story of a small boy.September 22, 2013, 10:42 am explore: India
Mira Nair: Didn't want to be a third world apologist
Mira Nair has directed internationally acclaimed films like 'Salaam Bombay', 'Monsoon Wedding' and 'The Namesake'.March 21, 2013, 7:10 pm explore: India
Bollywood stars have no time for me, says filmmaker Mira Nair
Internationally acclaimed filmmaker Mira Nair says she would love to work with Bollywood's star actors.March 18, 2013, 12:56 pm explore: India
25 years on, does Meera Nair's 'Salaam Bombay!' hold relevance in today's time?February 28, 2015, 2:10 pm explore: Movies
I hope to produce Shimit Amin's film: Mira Nair
Mira Nair doesn't aspire to own a big production company, but she wishes to produce Shimit Amin's film.March 15, 2013, 11:08 am explore: India
'Salaam Bombay!' re-released, Mira Nair thrilled!
Mira Nair's 1988 film 'Salaam Bombay!', which was even nominated for an Oscar, is being re-released on March 22.March 4, 2013, 5:26 pm explore: India
All eyes on 'Adaminte Makan Abu' again
'Adaminte Makan Abu' is India's official entry for the Oscar Awards in the foreign language film category.test sharma, September 30, 2011, 4:51 pm explore: India
A tribute to International women filmmakersFebruary 27, 2015, 12:20 am explore: Movies
'Slumdog' title not in good taste: Mira Nair
The 'Salaam Bombay' director also does not feel that 'Slumdog Millionaire' represents the true image of India.test sharma, December 1, 2010, 1:07 pm explore: India
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Sudhir Mishra in conversation with Mira Nair
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21 May, 2017 | Indian Premier League MI vs RPS 129/820.0 overs 128/620.0 oversMumbai Indians beat Rising Pune Supergiant by 1 run
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7 reviews | 2.3 out of 5
This is a great plane, and it has great build quality. The other reviewer must have gotten a lemon, because mine has survived a good while. The electronics failed, but that was my fault, the plane slammed into a concrete wall, and bent the propeller (it survived plenty of smashes before that too). The plane's wing started to rip where it meets the fuselage, but that was after playing with it for about five months. Not bad for a styrofoam plane that cost 12 bucks, huh? I will point out one other thing, though; Walmart says that this is remote control (read the name of it?), it isn't, it's one of those things you charge up, take off the charger, and let fly. It's very good entertainment. If yours stops working, it makes a great glider. If you throw it kinna hard, it will do loops and whatnot.
The tail section is weak. It broke off after 6 flights even landing on the grass. Poor Construction.
This airplane is not remote controlled needless to say it was a Christmas gift & is to late to take back but was very disappointed when I received it to find out it was not remote controlled.
a nice gift for young boys to have fun.
Very poor quality. Broke after 1 day. If you buy, I strongly suggest purchasing the buyer protection, just in case it makes it past the store warranty for returns>


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James (episode)/Transcript
< James (episode)
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This article is a transcript of the Adventure Time episode "James (episode)" from season 5, which aired on November 25, 2013.
Candy Kingdom
Desert of Wonder
Candy Kingdom
Desert of Wonder
This transcript is complete.
- [Finn, clad in mourner's tuxedo, is walking through the candy castle.]
- Finn: Jake...? Jake? [opens storage closet] Hey, man.
- Jake: Hey, dude.
- Finn: You still thinking about...
- Jake: Yeah.
- Finn: Yeah? Me, too. Princess Bubblegum's ready for us, so we should go.
- Jake: Okay. Just give me a few more months in here and I'll be ready.
- Finn: It's okay, man. Just—just play it off. Just make a—a normal face. [passes hand over face] See? Normal face.
- Jake: [passes hand over face] [he starts crying]
- Finn: [starts crying]
- [They walk out onto the balcony with Princess Bubblegum and two Banana Guards flanking... something covered in a sheet.]
- Princess Bubblegum: Ladies and gentlemen, thank you for coming. We may begin the ceremony!
- [Time card: ONE WEEK BEFORE]
- [A three-legged robotic transport vehicle makes its way through the Desert of Wonder. Finn and Jake look out the window while Princess Bubblegum works the control panel.]
- Finn: Thanks for bringing us along on the trip, Preebs.
- Jake: Yeah. It's unfortunate we can't enjoy some of these cool things we're passing by, but I guess we could do that the next time we're in the Desert of Wonders, whenever that is!
- Princess Bubblegum: We're on a mission to collect samples only. I want to start colonizing this area by the end of the year.
- Jake: You are killing me, PB!
- Princess Bubblegum: James, give a readout on fuel.
- James: Right away, Princess. [makes whirring noises] Boop! Boop! Boop! Boop! Beet! We have a surplus of fuel, so after we collect samples, we may explore.
- Finn & Jake: Yeah!
- Jake: I'm glad James is on this trip. Hey, James, thumbs up, buddy!
- James: [returns the thumbs up while making robotic noises]
- Finn: Heh. Dude, James is kind of, uh, goofy.
- Jake: I wasn't gonna say anything, but yeah. Maybe when we get to know him better, it'll be charming.
- Princess Bubblegum: James, slow down. We're here.
- James: I'm registering mondo mega rads down there. I'll ready the radiation suits upon landing.
- Princess Bubblegum: Excellent. Take us down.
- James: Hold on to your sack lunch!
- [Finn and Jake strap in as the robot vehicle jumps into a large pit. It turns on its thrusters and lands softly. Finn, Jake, Princess Bubblegum, and James, clad in radiation suits, exit the vehicle.]
- James: [walking robotically] Vrrt! Vrrt! Vrrt!
- Princess Bubblegum: Okay. You guys collect as many surface samples as you can—rocks, plants, dirt, anything.
- Jake: Mostly looks like it's just dirt here.
- James: This'll be fun. [picks up a rock] Jake, open up the basket. I'm gonna make a shot!
- Jake: Do it!
- James: Chk-chk! Whoop! [throws rock]
- Jake: Ha ha! [rock hits his helmet] [growls quietly]
- James: Wah-wah!
- Princess Bubblegum: [lifts up a rock, revealing some green substance] Hmm. [pokes it with a stick]
- [The stick burns and the green substance bubbles. It turns out to be the mouth of a goo monster, which growls as it pokes its head out of the ground.]
- Princess Bubblegum: Aah! Ach! Brownstadt!
- [Several other monsters emerge from the soil.]
- Princess Bubblegum: Guys, run!
- [The others scream, and they all run into the vehicle. James is running slowly.]
- Princess Bubblegum: James, speed up that sack lunch!
- James: [accelerates] Vrrt! Vrrt! Vrrt! Vrrt! Vrrt! Vrrt! Vrrt! Vrrt! Vrrt! Vrrt!
- [The monsters approach the vehicle while groaning.]
- Princess Bubblegum: Ugh! [starts up the engine]
- [The vehicle tries to take off, but the monsters knock it off balance, tipping it over. Finn, Jake, Princess Bubblegum, and James are thrown to one side of the vehicle. The monsters break the legs off the vehicle.]
- Finn: Ugh! Everyone okay?
- Jake: [pointing behind Finn] [stammering fearfully]
- Finn: Huh? [turns around, seeing lots of monsters climbing on the vehicle's windshield.] Oh, my garf! What are they?!
- Princess Bubblegum: Uh, they're toxic creatures from another time. [checking monitor] Okay, let's see—suspension's all donked, navigation's lost, and the ship's legs are kaput. We're dead in the water.
- Finn & Jake: [gasp]
- James: [makes whirring sound] Chk! Ah-oogah!
- [A monster vomits on the window. The glass sizzles as the acidic substance eats through.]
- Princess Bubblegum: Oh, yuck! Come on! Manners! [presses a button, engaging the blast doors] Gotta brain out the situation.
- [A digital clock displays 6:45 and counting.]
- Princess Bubblegum: Those goo monsters will barf their way through the hull in mere minutes. Finn, what should we do?
- Finn: [taken aback] Uh... let's radio for help.
- Princess Bubblegum: Good idea, but looks like the radio's kerplowed.
- James: [whirs] I can fix that radio. Mrow-row-row! Pling! [pulls out a coin] With this! It's a lucky coin! Bam! [places coin on radio] When I bust out my coin, great stuff happens, like when I was chosen to go on this mission with you guys! [giggles]
- Jake: Mnh. Mnh. James, that's not helping!
- Finn: Don't panic, baby.
- Princess Bubblegum: Yes. James is very resourceful. He'll work it out.
- James: [picks up coin] Vrrt! Veet! Vrrt! Vreet! Vrrt! Gzzzh! Jzzt! Bwr! [turns screw with coin] Look, Princess! I invented a coin-operated coin screwdrive-e-er!
- Princess Bubblegum: See what I mean? Good job, James. [gives thumbs up] Come on, guys. Let's take inventory of the emergency gear.
- James: [opens radio] Lucky coin strikes again!
- [Outside, monsters continue taking apart the ship.]
- Finn: Hey, Preebos, I know things seem bad, but I'll figure out a plan.
- Princess Bubblegum: I know, Finn.
- Jake: Dude, I found us some flares! I saved us!
- Princess Bubblegum: Right on!
- James: Hey, dudes, the radio is fixed!
- Jake: Good Grod! I love you, James!
- Princess Bubblegum: I knew you could do it, James!
- Jake: You know, James, I wasn't sure about you at first, but you're okay.
- James: Thanks, Jake. I wasn't sure about you either. [clicks tongue]
- Princess Bubblegum: James, the radio's still not working! I'm not getting any signal.
- Finn: [opens radio] What the skunk?!
- [Electricity crackles from the cut wires.]
- Finn: James, it's all sanched up!
- James: James is like, "Wha?!" It was working just a second ago, I swears! I went, like, "Choo-choo-choo!" and the radio was like, "Pch-choo-whichoo-whichoo-whichoo-whichoo," and then I was like...
- Jake: [to Finn] I take it back. [shape-shifts to look like a bird] This guy's totally cuckoo! This is my cuckoo face.
- Princess Bubblegum: He did his best, you guys.
- Finn: Right, right. Okay, time for plan B. James, pass me them flares.
- James: Chk-oo! Boop! A flare for m'liege.
- Finn: [opens flare box and sees that it is empty] James, where are the flares?!
- James: What?! May—maybe they're, uh, invisible flares.
- Jake: [growls in frustration] Finn, PB, can I speak to you in the other room, please?!
- Finn: You want to do this trust-huddle style, buddy?
- Jake: [nods] Hm.
- [The three form a huddle.]
- Princess Bubblegum: So what's all the hubbub?
- Jake: What's up with that James dude?
- Finn: Yeah. Do you think James could be breaking things on purpose?
- Princess Bubblegum: No. James wouldn't do that.
- Jake: Wake up. Dude's a saboteur.
- Princess Bubblegum: It's not James.
- James: What's not James? [beat] I got lonely up front. I wanted to see what y'all are up to.
- Finn: Hey, that gives me an idea.
- James: Me, too! Vrrt! [laughs] Just kidding! I don't have any ideas.
- [Princess Bubblegum and James run to control panel]
- James: Diversion. [pushes buttons] D-d-d-d-d-d-diversion! Time to set up a diversion.
- [The button mashing extends a solar panel, flashes a light, and extends a robotic arm from the front of the ship. The monsters all move to that end. Finn and Jake look through the back window.]
- Jake: You see anything, brudda?
- Finn: [looking through binoculars] Ah, I got bunkus. Wait. If we jam up to that cliff face, I think we can climb—whoop. [sees monsters] More goo bros.
- [A flare explodes behind the monsters.]
- Finn: What the—?!
- [The monsters run from the flare toward the vehicle and start breaking the glass. Finn and Jake run back to the control room. Jake grabs a large object from the wall and throws it toward the monsters.]
- Princess Bubblegum: That won't hold them for long.
- Jake: It can't end like this. I got a lady and five kids! I thought I'd outlive at least one of them!
- James: Here, man. Take this. [offers coin]
- Jake: Your lucky coin?
- James: Yeah, man. It always keeps me calm.
- Finn: [accusingly] Who shot that flare, James?
- Princess Bubblegum: We don't have time to point fingers.
- Finn: [growls] You're right. There's only one way out of this jam. One of us has to eat the big one so the others can survive.
- [Princess Bubblegum nods.]
- Finn: And I'm gonna be that one. I'll run up there and get the creatures to chase me, and while they're busy noshing on my teen-boy body, you three can climb to safety. Don't try to talk me out of it. I got crystal certainty. This is what it means to be a he—
- [Princess Bubblegum hits his head with a wrench, knocking him out.]
- Jake: Wha—?
- Princess Bubblegum: [knocks out Jake too] James. We need to talk.
- [From Finn's POV: Finn opens his eyes, just barely, and hears Princess Bubblegum talking to James.]
- Princess Bubblegum: So, what do you say?
- James: Sure thing, Princess! [breaks off a corner of his head, hands it to Princess Bubblegum, salutes, and jumps down the hatch] Byong!
- [Finn closes his eyes, falling into unconsciousness. He reopens them outside. Princess Bubblegum is carrying him and Jake.]
- Finn: Ugh! Huh? Why did—Jake?
- Princess Bubblegum: [grunts]
- Finn: Wh—where's James? [looks back at the ship]
- [James is running from the group of monsters, but they overtake him and jump on him.]
- Finn: James! [falls unconscious again]
- [Princess Bubblegum climbs out of the pit and looks back at the ship. The screen fades out. She is now in a grassy place, bandaging Finn's head.]
- Finn: [wakes up] Aah! James, look out! Ohh. PB! What's going on?
- Princess Bubblegum: Finn, I need to explain something really heavy. I was the one who sabotaged all your escape plans. I calculated the chance of success for every possible escape plan, and none of them were going to work. You said it yourself: there was only one way out. Someone was going to have to eat the big one to save the others. James did something really noble to save us.
- Finn: But I wanted to do it. Why didn't you let me?
- Princess Bubblegum: There's a reason. With this sample of James, I can clone a new one. He's candy, but you're not. I can't clone another you.
- Finn: Whoa.
- Princess Bubblegum: I made the best choice available.
- [Flashback ends.]
- Princess Bubblegum: James served the Candy Kingdom on a dangerous mission, and even though he is gone and it's super sad, I would like to honor James... with this new James I whipped up in the lab!
- [Banana guards unveil the new James.]
- James' Clone: Jeet!
- Princess Bubblegum: Here you go, James—[pins on him a Medal of Valor] an award for bravery. Let's hear it for James! [claps]
- Candy People: [cheering]
- Finn: Is this right or wrong? I can't tell.
- James' Clone: Hey, cool. Did I do something cool? Do I do something cool?
- Jake: I don't know, man. [walks up to James' clone] Here's your coin, James.
- James' Clone: Wow! This day keeps getting better and better!
- Jake: Ehh.
- [The scene cuts to the edge of the pit. A zombified James climbs out, followed by a large group of monsters.]
Episode ends


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April was a wicked month for Harlequins – dismissal from Europe and not a Lion in sight – but the Aviva Premiership champions are where they want to be. Well, not precisely where they want to be: they are in the play-offs and able to defend their title, but they must start to do so away to Leicester at Welford Road next Saturday.
"This team will be ready and will give it an absolute crack," Conor O'Shea, the Harlequins director of rugby, said, though he will not know until tomorrow or Tuesday whether Chris Robshaw will be available. Robshaw, captain of club and country, aims to start running tomorrow after ankle damage sustained against Worcester.
"He's desperate to play, to get out and do what he does best after the disappointment [non-selection for the Lions tour to Australia] of last Tuesday," O'Shea said. "But if he doesn't make it, Luke Wallace had a magnificent game against Northampton and it's nice to have three wins in a row to eke our way back to form."
Wallace was central to the revival of Harlequins' passing game, and to the difficulties Saints found at the breakdown. They might have known it would not be their day when Stephen Myler put the kick-off straight into touch, and they were twice turned over in the opening minutes. But, just when the game looked to be going away from them, Northampton bounced back with two tries in six minutes to shake Harlequins.
After the opening penalty salvo from Nick Evans, the bounce of a grub-kick by Danny Care comprehensively beat Ben Foden, giving Tom Williams the first try. Though Foden got his own back when his kick laid on a score for Jamie Elliott, Quins rolled into a 17-point lead early in the second half with tries by Rob Buchanan (which owed much to the work of George Robson and Wallace) and Tom Casson, which stemmed from Care's tapped penalty and dart deep into the Northampton 22.
But Northampton, who had a first-half try by Ken Pisi disallowed for obstruction, showed they will not be easy-beats on their first visit to Allianz Park to play Saracens in next Sunday's semi-final.
They created tries for Dylan Hartley and Christian Day, the second after they finally discovered some continuity: "We have been away to various sides as underdogs this season, notably Ulster, and turned them over," Jim Mallinder, the head coach, said ominously.
Harlequins M Brown; T Williams (R Chisholm, 65), G Lowe, T Casson, U Monye; N Evans ( Botica, 63), D Care (K Dickson, 63); J Marler (M Lambert, 57), R Buchanan (J Gray, 52), J Johnston (W Collier, 69), O Kohn (C Matthews, 64), G Robson, T Guest (M Fa'asavalu, 52), N Easter (capt), L Wallace.
Northampton B Foden; K Pisi, G Pisi (J Wilson, 29), L Burrell, J Elliott (R Lamb, 72); S Myler, L Dickson (M Roberts, 65); S Tonga'uiha (A Waller, 63), D Hartley (capt; M Haywood, 72), B Mujati (T Mercey, 63), C Lawes, C Day, C Clark (P Dowson, 63), S Manoa (G J van Velze, 63), T Wood.
Referee T Wigglesworth (Yorkshire).
Tries: Williams, Buchanan, Casson
Cons: Evans 2
Pen: Evans
Tries: Elliott, Hartley, Day
Cons: Myler 2Reuse content


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text: The folks at the Camden Snow Bowl say they don't care who took one of their lift chairs over the weekend– they just want it back.Workers had taken all the lift chairs down recently for regular testing, but discovered when they came back to work after the long weekend that one was missing.They think someone might have taken the chair as a prank. If so, General Manager Jeff Kuller says it's not a funny one.He tells us the chairs are unique and hard to find, and could cost one or two thousand dollars to replace. He says losing that chair hurts their lift capacity.He says lots of people in town are on the lookout for the missing chair and they're hopeful it will turn up, unharmed, soon."Bring it back, bring it back at night, drop it off in the parking lot and we won't ask any questions. We'll just be happy. And you know, if they're caught by the police, it's going to be a bigger issue," Kuller says.The chairs are now locked. Kuller says they might have to consider locking the whole facility.


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- Black
- Gaming
- 7 Function Keys
Not Too Shabby - Used on Mac 12/12/2013
This review is from: AGPtek PC000006 LED Illuminated Ergonomic USB Wired Multimedia Blue Backlit Gaming Keyboard for PC Laptop
It lights up and types fine for the most part. The keys are also responsive for the most part.
I can't seem for it to be able to use the shift key. The only way to capitalize my letters is by turning on the caps key and then turning it off after my initial lettering.
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Now that I have your attention, allow me to introduce myself.
Since this is my story after all, you can call me Rachel. I've always liked the name Rachel.
So anyway...
Have you every wondered what it would be like to live in complete and total silence? To be honest, I personally could never bring myself to try to imagine it. After years of devoting my life to various musical instruments (piano, clarinet, violin, guitar, etc.) and a lot of singing in the shower, I had already decided by the age of fifteen that I wanted to devote my life to making music in some sort of way. And you can't make music if you can't hear it, right? Sure that one classical guy did it years ago, but I'm pretty sure he was some sort of prodigy or something and he had years of experience before he went deaf. So yeah, I didn't want to be like him. I liked hearing the world around me and what people were saying and whatever the hell my parents were watching on TV. Not that I ever paid attention to that, but whatever.
Then one day I woke up with a head cold. Oh the joys. No big deal though, right? It'll go away soon, right? Well, friend, you would be wrong. The head cold persisted, and eventually an ear infection ensued. My mother took me to the doctor at that point, and they prescribed some antibiotics. Even after I got better, though, I could tell something still wasn't right. My hearing wasn't going back to normal. Sometimes it would be fine, other times not so much.
After a while, Mom took me back to the doctor because of it. And that's when I got the news.
I was going to go deaf.


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text:
|This article is of interest to the following WikiProjects:
- 1 Orthogonality existed long before computers!
- 2 Examples
- 3 Missing bracket
- 4 Vectors
- 5 Orthogonal curves
- 6 Quantum mechanics
- 7 Weight Function?
- 8 Emergency fix
- 9 On radio communications 1
- 10 On radio communications 2
- 11 Discrete function orthoganality?
- 12 Statistics
- 13 Intro Rewrite
- 14 T - shape?
- 15 Interesting
- 16 Additional citations
- 17 (a, g, and n)
- 18 Orthogonality vs. Independence in ....
- 19 Ancient history
- 20 Alternate Definitions
- 21 Problem with etymology section
Orthogonality existed long before computers![edit]
Those trained in computer science think they invented everything known before computers existed: integrals, mathematical induction, orthogonality, etc. I've left the page a bit of a messy hodge-podge, but far better than what was here. Michael Hardy 02:27, 13 Jan 2004 (UTC)
- If non-orthodox is "heterodox", is "heterogonal" non-orthogonal? (Google has one hit for that word, in an unmaths context.) 22.214.171.124 21:05, 5 Aug 2004 (UTC)
- It is a needless complication of the definition of orthogonality to bring in the subscripts i and j when one is only trying to define what it means to say that two functions are orthogonal. Also, it is incorrect, unless one has first given the subscripts some meaning.
Michael Hardy 01:45, 6 Sep 2004 (UTC)
- It is a needless complication of the definition of orthogonality to bring in the subscripts i and j when one is only trying to define what it means to say that two functions are orthogonal. Also, it is incorrect, unless one has first given the subscripts some meaning.
I'd like an example of two simple functions that are orthogonal. - Omegatron 16:22, Sep 29, 2004 (UTC)
- Take two orthogonal vectors and then change basis to {1, t, t^2, ..., t^n}?Dysprosia 22:32, 29 Sep 2004 (UTC)
- No, that won't work until you specify a measure (or "weight function") with respect to which those are orthogonal. See for example Chebyshev polynomials, Legendre polynomials, and Hermite polynomials (all exceptions to the rule that it is better use singular words as Wikipedia article titles). Those are examples. Also, see Bessel functions. Michael Hardy 00:32, 30 Sep 2004 (UTC)
- Well, it does depend on the inner product you use to determine orthogonality, though. But yes, if you use the inner product defined in the article, it won't work.
Dysprosia 01:48, 30 Sep 2004 (UTC)
- Well, it does depend on the inner product you use to determine orthogonality, though. But yes, if you use the inner product defined in the article, it won't work.
- Some of us don't know what that means... Aren't sin(x) and cos(x) orthogonal? Also, certain pulse trains? - Omegatron 22:53, Sep 29, 2004 (UTC)
- If you use the inner product from the article, and take the integral from -a to a with weight one, sin(x) and cos(x) are indeed orthogonal functions (calculate the integral for yourself).
Dysprosia 01:48, 30 Sep 2004 (UTC)
- If you use the inner product from the article, and take the integral from -a to a with weight one, sin(x) and cos(x) are indeed orthogonal functions (calculate the integral for yourself).
- Some of us don't know what that means... Aren't sin(x) and cos(x) orthogonal? Also, certain pulse trains? - Omegatron 22:53, Sep 29, 2004 (UTC)
Also, please explain why the integral is a to b instead of -∞ to +∞? - Omegatron 16:24, Sep 29, 2004 (UTC)
- No reason, though you can define another inner product with those bounds and then consider orthogonality with respect to that inner product.Dysprosia 22:32, 29 Sep 2004 (UTC)
- I see that the a and b are used in the artcle on inner product, too.
Omegatron 22:53, Sep 29, 2004 (UTC)
- I see that the a and b are used in the artcle on inner product, too.
- You need to understand that when we set the limits of an integral as [a, b], then a and b can be whatever we want them to be, including minus or plus infinity, as long as the limits are taken to be real and not complex.
22.214.171.124 (talk) 00:22, 25 August 2012 (UTC)
- You need to understand that when we set the limits of an integral as [a, b], then a and b can be whatever we want them to be, including minus or plus infinity, as long as the limits are taken to be real and not complex.
- It is important to realize that functions are orthogonal only on a predefined interval. In other words, sin(x) and cos(x) are not orthogonal, generally speaking. They are only orthogonal on the interval [a, b] if |b - a| = n*pi where n is a nonzero integer. This is also why inner products (for sinusoids) are defined on [a, b] and not -∞ to +∞. Severoon 22:41, 1 May 2006 (UTC)
Missing bracket[edit]
There is a missing opening square bracket on the integration example image, I believe. --anon
- Fixed now. I think that bracket was left out on purpose. But I agree with you that things look better with the bracket in. Oleg Alexandrov 18:25, 15 May 2005 (UTC)
for some positive integer a, and for 1 ≤ k ≤ a-1, these vectors are orthogonal, for example (1,0,0,1,0,0,1,0)T,(0,1,0,0,1,0,0,1)T ,(0,0,1,0,0,1,0,0)T are orthogonal.
- interesting. So this is where discretely sampled signals like
...0,0,1,0,0,1,1... ...1,0,0,0,1,0,0... ...0,1,0,1,0,0,0...
- come from? Also, these signals are orthogonal too, according to another site I saw. Can we extrapolate the signal processing version from the many dimensional vector version? Maybe graphs? - Omegatron 13:41, Sep 30, 2004 (UTC)
- They appear to be. Calculate the dot product of these "signals", so to speak, across each triplet. If they sum to 0 for all the bit triplets over your time period they are orthogonal. I don't understand what you mean about "extrapolate the signal processing version from the many dimensional vector version".
Dysprosia 14:04, 30 Sep 2004 (UTC)
- They appear to be. Calculate the dot product of these "signals", so to speak, across each triplet. If they sum to 0 for all the bit triplets over your time period they are orthogonal. I don't understand what you mean about "extrapolate the signal processing version from the many dimensional vector version".
- the difference being that this is a discrete function instead of a vector,
but I guess they can be seen as the same thing from different perspectives? Can you have infinite-dimensional vectors? The discrete-"time" function can be "converted" to a continuous-time function (think sampling), though, which can also be orthogonal to another similar function if they have the same "shape" relationship... - Omegatron 14:40, Sep 30, 2004 (UTC)
- Heh. Lots of "quotes". I can explain better later. I will draw some pictures... - Omegatron 14:41, Sep 30, 2004 (UTC)
- Yes, you can have vectors of infinite dimension. You know there is in fact nothing really special about any of these definitions of orthogonality - what is the important property is the inner product, which determines whether two vectors in a vector space are orthogonal or not, or determines a "length" or not. Change the inner product, and these definitions change also.
Dysprosia 14:49, 30 Sep 2004 (UTC)
- Yes, you can have vectors of infinite dimension. You know there is in fact nothing really special about any of these definitions of orthogonality - what is the important property is the inner product, which determines whether two vectors in a vector space are orthogonal or not, or determines a "length" or not. Change the inner product, and these definitions change also.
- Not sure that I understand what you're trying to say. So you could define your own "inner product" for which a cat is orthogonal to a dog? - Omegatron 19:55, Sep 30, 2004 (UTC)
- Metaphorically, yes, as long as the inner product you define is in fact an inner product. There are some requirements on this, see inner product. Literally, you have to define what you mean by a cat and dog first before you can say they are orthogonal to each other... ;) Dysprosia 01:07, 1 Oct 2004 (UTC)
- Can you have infinite-dimensional vectors?
Except that it's the space that is infinite-dimensional, rather than the vectors themselves. The two most well-known infinite-dimensional vector spaces are , which is the set of all sequences of scalars such that the sum of the squares of their norms is finite (for example (1, 1/2, 1/3, ...) is such a vector because 12 + (1/2)2 + (1/3)2 + ... is finite) and L2, the set of all functions f such that
("Whatever space" could be for example the interval from 0 to 2π, or could be the whole real line, or could be something else.) Michael Hardy 19:30, 30 Sep 2004 (UTC)
- Yes. So what is the connection between the discrete function with an infinite number of points ...,f[-1],f[0],f[1],... and a vector with an infinite number of dimensions (...,x-1,x0,x1,...)? Are these the same concept said in two different ways or are there subtle differences? For instance, in MATLAB or GNU Octave you use vectors or matrices for everything, and use them to represent strings of sampled data or two dimensional arrays of data, both of which could also be thought of as functions of the vector or matrix coordinates.
Orthogonal curves[edit]
This article does not mention orthogonal curves or explain what it means that two circles are orthogonal to each other. Hyperbolic geometry mentions orthogonal circles, but I had to look up the exact meaning elsewhere (more precisely, on MathWorld).
My question is, should orthogonal curves and circles be covered in this article, or do they qualify as a "related topic"? Fredrik | talk 03:16, 21 Oct 2004 (UTC)
- The concept is not really that different, though Mathworld's geometric treatment may merit a seperate page. One could perhaps say generally that two curves parametrized by functions f and g are orthogonal, if where they interesect ∇f.∇g = 0, though I'm not sure that's a decent, established, or useful definition... Dysprosia 08:14, 21 Oct 2004 (UTC)
Quantum mechanics[edit]
The article states that
- In quantum mechanics, two wavefunctions and are orthogonal unless they are identical, i.e. m=n. This means, in Dirac notation, that unless m=n, in which case . The fact that is because wavefunctions are normalized.
- This is wrong in the general case. The author probably supposed that and are eigenstates of the same observable relating to two different eigenvalues, in which case it is trivially true. The definition of orthogonality in quantum mechanics is the same as in the space in mathematics, so that this precision can be removed without there lacking anything.--126.96.36.199 20:11, 16 April 2006 (UTC)
- It is "trivial"? Not for everyone! I'm not an expert in quantum mechanics--my specialisation is in complex systems--so I will not defend my original statement down to the last letter. However, I do feel strongly that the comments on quantum mechanics should be modified, not removed.
- The reason that I added the paragraph in question is because when I was studying for my last quantum mechanics class, I found that Wikipedia did not answer the questions that I had about orthogonality. If you simply take out the stuff on quantum mechanics, then other people will likely come along with the same queries as me--and they'll be unsatisfied too. If you want to clarify that it's for the two eigenvalues of the same observable, that's fine. But just because it's not the most general case doesn't mean it's not an important one.
Ckerr 16:12, 19 April 2006 (UTC)
- The reason that I added the paragraph in question is because when I was studying for my last quantum mechanics class, I found that Wikipedia did not answer the questions that I had about orthogonality. If you simply take out the stuff on quantum mechanics, then other people will likely come along with the same queries as me--and they'll be unsatisfied too. If you want to clarify that it's for the two eigenvalues of the same observable, that's fine. But just because it's not the most general case doesn't mean it's not an important one.
- Since there has been no reply, I'm going to reinstate the part on QM. Please correct it if it needs correcting, but please don't just axe it! Ckerr 09:04, 25 April 2006 (UTC)
- If I may give my opinion: I think this should be removed or moved. The definition of orthogonality already caters for the quantum mechanics explanation. The only reason the two wavefunctions are said to be orthogonal is because they ARE orthogonal in the mathematical sense, therefore it does not make sense for this entry to be under "Derived Meanings". I will give a chance for the author to reply to my suggestion, but if I don't hear from you in 2 or 3 weeks I'll move it to the "Examples" section.
Maszanchi 09:38, 16 June 2007 (UTC)
- If I may give my opinion: I think this should be removed or moved. The definition of orthogonality already caters for the quantum mechanics explanation. The only reason the two wavefunctions are said to be orthogonal is because they ARE orthogonal in the mathematical sense, therefore it does not make sense for this entry to be under "Derived Meanings". I will give a chance for the author to reply to my suggestion, but if I don't hear from you in 2 or 3 weeks I'll move it to the "Examples" section.
- I have performed the move and rewrote the section according to the comment above. The part on normality was removed as it didn't seem relavent to orthogonality.
TomC phys 09:04, 5 September 2007 (UTC)
- I have performed the move and rewrote the section according to the comment above. The part on normality was removed as it didn't seem relavent to orthogonality.
Weight Function?[edit]
Why is there mention of a weight function w(x) in the definition of the inner product? Its presence plays no role whatsoever in the definition of the inner product of f and g, so why not remove it? (I understand the role of a weight function in PDEs like the heat eqn, but isn't it unnecessary and extraneous in a page on orthogonality?) Severoon 22:45, 1 May 2006 (UTC)
- Well, I suppose weight functions aren't truly essential to the notion being discussed, but they make it much more accessible. We could just say "Given an inner product , f and g are orthogonal if ....". But the use of weight functions gives a good motivation for the construction of inner products, and for the notion that one can construct different inner products, and hence different notions of orthogonality, on the same underlying set of objects (e.g. polynomials.)
- On second thought, I see your point. The section isn't very clear. I'll fix it.
William Ackerman 15:46, 12 May 2006 (UTC)
- I agree that the section is not clear. In fact, it's so unclear it seems to have led to confusion right in the examples section: "These functions are orthogonal with respect to a unit weight function on the interval from −1 to 1." (See the third example.) In fact, the functions in the example are not "orthogonal w.r.t. a unit weight function"...they're orthogonal to each other on the specified interval!
- This definitely needs to be changed. The introduction of a weight function should be brought up in the context of a physical example, something like the heat equation on a 1D conductive rod of nonuniform density. Short of an explicit physical application, it just seems to be confusing things. Severoon 23:34, 12 May 2006 (UTC)
Emergency fix[edit]
I have just put in an emergency fix for the question raised by 184.108.40.206, and left a note on his talk page. This was a proof that an orthogonal set is a linearly independent set.
It's not at all clear that putting in this proof is the right thing for the article as a whole -- I just needed a quick fix. (It's not even clear that this is the best proof. It was off the top of my head. And it is definitely not formatted well.) Maybe the linear independence is truly obvious, and saying anything about it is just inappropriate for the level of the discussion. Maybe the proof/discussion should be elsewhere.
If/when someone has the time to look over the whole article, and think about the context of the orthogonality/independence issue, and figure out the right way to deal with all this, it would be a big help.
William Ackerman 16:08, 21 July 2006 (UTC)
- Thanks for the proof. But I tend to agree with your doubt that the proof was not the right thing for the article as a whole, especially that early in the article. Proofs are not really encyclopedic to start with (see also Wikipedia:WikiProject Mathematics/Proofs). I removed the proof for now.
Oleg Alexandrov (talk) 08:33, 22 July 2006 (UTC)
On radio communications 1[edit]
The radio communications subsection claims that TDMA and FDMA are non-orthogonal transmission methods. However, in the theoretically ideal situation, this is not the case. For FDMA, note the orthogonality of sinusionds of different frequencies. Thus, restricting users to a certain frequency range IS orthogonal so long as the frequency ranges are nonoverlapping. This is similarly true for the TDMA case. Assume that each user is restricted to transmit in in specific, non-overlapping time, i.e.,
so that the inner product
On radio communications 2[edit]
I agree with the comment already present in the comment page. The sentence "An example of an orthogonal scheme is Code Division Multiple Access, CDMA. Examples of non-orthogonal schemes are TDMA and FDMA," is wrong and should be deleted. All in all the section on Radio Communications is not satisfactory as it is. I would delete and replace with something such as the following text, or similar one:
"Ideally FDMA (Frequency Division Multiple Access) and TDMA (Time Division Multiple Access) are both orthogonal multiple access techniques, and they achieve orthogonality in the frequency domain and in the time domain, respectively. In practice all orthogonal techniques are subject to impairements, which however can be controlled to any desired level with appropriate design. In the case of FDMA the loss of orthogonality arises due to the imperfection of spectrum shaping, and it can be combatted with appriapriate guard bands. In the case of TDMA, the loss of orthogonality is the result of imperfect system syncronization.
The question can be asked if there are other "domains" in which orthogonality can be imposed, and the answer is that a third domain is the so called "code domain". This leads to CDMA (Code Division MA), which is a techniques which impresses a codeword on top the digital signal. If the set of codewords is chosen appropriately (e.g. Walsh-Hadamard codes), and some more conditions are assumed on the signal and on the channel conditions, CDMA can be orthogonal. However, in many conditions, to guarantee near ideal orthogonal condition for the CDMA implementations is more critical.
In packet communications, with noncoordinated terminals, other MA techniques are used. For example the Aloha technique originally invented for computer communications via satellite [FALSE. It was made for terrestrial radio communications in Hawaii.]
Since the terminals transmit as soon as they have a packet ready, in an uncoordinated manner, packets can collide at the receiver, so producing interference. Therefore Aloha is one example on nonorthogonal MA technique, even under ideal operational conditions."
22.214.171.124 09:55, 1 October 2006 (UTC)
- The above totally disregards the concept of "slotted Aloha", which has been widely used.
188.8.131.52 (talk) 00:22, 25 August 2012 (UTC)
Response to changes inserted regarding Orthogonality and Radio Communications:
The statement that TDMA and general FDMA are examples of orthogonal schemes, while CDMA is not, is incorrect. There are many in the wireless industry who erroneously believe that orthogonality is defined by whether or not two things interfere or produce "cross talk". However, that is NOT what defines orthogonality.
Orthogonality is a mathematical property with well-defined and SPECIFIC criteria:
Integral [ Fi(x) * Fj(x) dx ] = kronecker_delta (i.e. non zero if and ONLY if i = j)
Note the definition does NOT contain a windowing function (or a weighting function). Two non-coincidental events that do not interfere (0 sum), are NOT necessarily orthogonal. A bus and a train passing over a railroad crossing 15 minutes apart do not interfere. This does NOT indicate that buses and trains are orthogonal. A TDMA message sent duromg one second followed by a second one sent some time later do not interfere because they are not simultaneous and therefore never have the opportunity to interfere. This does NOT indicate they are orthogonal.
IF TDMA signals were orthogonal, why then do signals sent from adjacent cells within the same network interfere with each other?
Arbitrarily injecting a windowing function into the definition would suggest that ANY two functions could be orthogonal, which absolutely is not true. If we transmit a message convolved with a polynomial in "x" and 2 seconds later transmit a message convolved with [sin^2](x), the two (non-simultaneous) messages will not interfere. This is not because x^2 and [sin^2](x) are orthogonal (they are NOT), but because they were sent at completely different times.
Orthogonal-FDM IS orthogonal (by design), but generic FDMA is NOT orthogonal. If FDMA were orthogonal, then why would we in the industry have to spend BILLIONS of dollars on filtering specifically to keep adjacent signals from interfering with each other?
Orthogonal-FDM meets the mathematical criteria: sin(nx) and sin(mx) are orthogonal functions only when "n" and "m" are distinct integers, but otherwise they are NOT.
CDMA IS orthogonal (again, by design) due to the orthogonality of the Walsh Codes employed (?) (provided all the Walsh Codes are synchronous - a mathematical requirement for all orthogonal functions). The suggestion that CDMA is NOT orthogonal since it requires an integrator and "basis codes" to reject unwanted signals, reveals a significant lack of understanding regarding CDMA and orthogonality in general, in that the use of orthogonal Walsh codes is at the very core of what CDMA is and how it operates. The use of an integrator in CDMA fulfills the role of the integration process, which is itself fundamental to the definition of orthogonality.
- No, CDMA often operates by using long orthogonal pseudorandom binary sequences (PN sequences). Read up on these in the Tracking and Data Relay Satellite System, for example.
220.127.116.11 (talk) 00:22, 25 August 2012 (UTC)
You cannot [USUALLY] simply multiply two discrete fragments of any two orthogonal functions and get 0. For example sin(x) and cos(x) are orthogonal over multiples of pi over 2, but sin(45)*cos(45)=/=0. Existance of orthogonality between two such functions requires full integration over an extended window (e.g. over one or more periods).
If orthogonality didn't exist in CDMA, how then do hundreds of CDMA calls transmitted SIMULTANEOUSLY over the SAME RF channel remain isolated from one another? BILLIONS of such calls have been processed over active CDMA channels this past decade with enormous success, which would NOT have been possible IF these CDMA signals were not orthogonal to each other. Stevex99, 5 July 07
- Yes, by using orthogonal PC sequences.
220.127.116.11 (talk) 00:22, 25 August 2012 (UTC)
- Yes, by using orthogonal PC sequences.
- A couple of points:
- TDMA is orthogonal. Separating by time is one way of satisfying the orthogonality condition, as (assuming the signalling pulses are T or less in time).
- In practice, CDMA is pseudo-orthogonal, not orthogonal. While the channelization codes from a single base-station are typically orthogonal, the scrambing codes are not (in WCDMA, Gold codes are used, for instance). And you've already noted another problem, which is the requirement for perfect synchronization. In practice, this is very rarely achieved.
Oli Filth 08:45, 6 July 2007 (UTC)
Thanks Oli for your comments, however I would have to disagree. Separating by time is effectively inserting a windowing function on the signals being transmitted, and it does not make the fundamental signals orthogonal to each other (which is why they tend to interfere with emissions from adjacent cells).
- What do you consider to be the "fundamental" signals, and why? If you mean the underlying sinusoidal carriers, then yes of course they're not orthogonal when delayed, but that's why we apply the "windowing function" (normally, this is known as the "pulse-shaping function"), to make the transmitted signals orthogonal to one another. In a baseband model, all you have is the pulse-shaping function. Oli Filth 15:46, 6 July 2007 (UTC)
But that's kind of my whole point. If you have to take action specifically to prevent two signals from interfering (in this case gating them on and off), then they clearly don't posess the mathematical characteristic of orthogonality. And, if they were in fact orthogonal, then you wouldn't have to deal with the issue of intercell interference within the system. Orthogonal-FDM signals (for example), can exist simultaneously on the same channel specifically because they do meet the definition for orthogonality (by design).
And, not to be nit-picky, but the integral that you show really just shifts the two functions in time. To actually model the TDMA scheme, it would need a windowing function (which, again, isn't part of the definition for orthogonality).It was nice to debate this with you, but I better get some work done. All the best! Stevex99.
- The transmitted signals can be described by mathematical functions which are orthogonal. Therefore the transmitted signals are orthogonal. I'm not sure what else there is to say! The mathematical functions which describe the signals that occur at an earlier point in the transmitter processing chain (e.g. the carrier) may or may not be orthogonal, but so what? They aren't the signals being transmitted.
- Yes, in all cellular systems, we have to deal with intercell interference. This is no different for OFDM or CDMA. On a cell-by-cell basis, the signals used may or may not be mathematically orthogonal, this doesn't remove the need for intercell considerations.
- And yes, that is exactly what my integral shows. There is no requirement for a windowing function. If the function g(t) is T or less in support, then the integral will be zero. Therefore, the orthogonality is satisfied. There are many ways of obtaining an orthogonal signal family. Separation in time is just one method.
- Oli Filth 02:57, 7 July 2007 (UTC)
Discrete function orthoganality?[edit]
If someone thinks its appropriate could they add the definitition for orthoginality for discrete functions. For example the kernel of the DFT. Thanks.
We say that two variables are orthogonal if they are independent. Uncorrelated seems much more plausible, since the distribution of the product of two variables is an inner product of the variables.
Septentrionalis PMAnderson 05:27, 19 September 2007 (UTC)
- Should we give more prominence to the section on statistics in this article? My discipline is psychology, and if I were to refer to two variables as orthogonal, I would mean that they are not statistically significantly correlated. I would probably add a wikilink to orthogonal, so that curious readers could find out what this term means by going to this article, rather than defining the term in every article for which I use this word. However, at the moment, this article is rather heavy for a non-specialist. ACEOREVIVED 19:23, 13 October 2007 (UTC)
- That's right: two random variables are called orthogonal if they're simply uncorrelated, not necessarily independent. I made the appropriate change. There's often confusion about this because for Gaussian random variables, uncorrelatedness implies independence. For general r.v.'s, though, this isn't true: independence is a stronger condition. Jgmakin 06:37, 25 October 2007 (UTC)
Intro Rewrite[edit]
Here is the current intro:
In mathematics, orthogonal, as a simple adjective not part of a longer phrase, is a generalization of perpendicular. It means "at right angles". The word comes from the Greek ὀρθός (orthos), meaning "straight", and γωνία (gonia), meaning "angle". Two streets that cross each other at a right angle are orthogonal to one another. In recent years, "perpendicular" has come to be used more in relation to right angles outside of a coordinate plane context, whereas "orthogonal" is used when discussing vectors or coordinate geometry.
I propose this replacement:
In mathematics, two vectors are orthogonal if they are perpendicular, i.e., they form a right angle. The word comes from the Greek ὀρθός (orthos), meaning "straight", and γωνία (gonia), meaning "angle". For example, a subway and the street above, although they do not physically intersect, are orthogonal if they meet at a right angle.
This version avoids the need to say that "orthogonal" is a generalization of "perpendicular" by saying that they are identical in the generalized context of vector mathematics. The example is improved by not using the coordinate plane. Lastly, the note about common usage is redundant because the intro sentence has already described the context of "orthogonal". --Beefyt (talk) 05:52, 4 August 2008 (UTC)
When I read this subway example I got very confused. How do a subway and a street above "meet" at a right angle? Once I read this talk page, I understood what you meant. I propose using the word "cross" instead... but I'm not sure if that's better. What do you guys think? Sunbeam44 (talk) 16:07, 23 October 2008 (UTC)
- From beginning Euclidean geometry, two lines (straight) that do not intersect are "skew" [False. In plane geometry, two lines either intersect or they are parallel to one another. There are no any other possibilities.] "Perpendicular" implies the lines intersect in a right angle. "Orthogonal" implies far more than mere perpendicularity, as evidenced in the article and its attendant commentaries.
—Preceding unsigned comment added by Lionum (talk • contribs) 06:46, 11 October 2008 (UTC)
- Why not "two lines are orthogonal if they meet at a right angle"? Michael Hardy (talk) 22:17, 30 January 2009 (UTC)
- The direction of a line in a two-dimensional plane is defined by a two-dimensionsl vector. Also, the direction of a line in three-dimensional space is defined by a three-dimensional vector. Two lines are perpendicular if and only if their defining vectors are perpendicular to each other. This is taught in advanced high-school mathematics.
220.127.116.11 (talk) 00:22, 25 August 2012 (UTC)
- The direction of a line in a two-dimensional plane is defined by a two-dimensionsl vector. Also, the direction of a line in three-dimensional space is defined by a three-dimensional vector. Two lines are perpendicular if and only if their defining vectors are perpendicular to each other. This is taught in advanced high-school mathematics.
The introduction needed to be rewritten, so I decided to Be Bold and do it. I expect it to be revised. The citations are poor but at least they are there, and they back-up what is said in the subsections. When the revisions start, I would like to make these suggestions:
- Go from the general to the specific
- Be as nontechnical as possible
- Stay open to the many different meanings of the word in different contexts.
KSnortum (talk) 20:19, 13 January 2012 (UTC)
T - shape?[edit]
Isn't orthogonal a T shape? Can it say so on the article as a better description than right angle? Or, if the orthogonal is the L shape, is it OK to say "An Orthogonal is an L shaped intersection." and provide a nice L shaped joint picture? I can't remember if it is T or L and I cannot read complex formulae. ~ R.T.G 15:21, 30 January 2009 (UTC)
- Two lines are orthogonal if they meet at a right angle. Thus the strokes of L are orthogonal, as are those of T or +. —Tamfang (talk) 03:08, 23 October 2011 (UTC)
You might be interested that the book Applied Mathematics for Database Professionals refers readers to this Wikipedia article. - 126.96.36.199 (talk) 14:17, 23 June 2010 (UTC)
Additional citations[edit]
Why, what, where, and how does this article need additional citations for verification? Hyacinth (talk) 05:26, 2 August 2010 (UTC)
(a, g, and n)[edit]
Another scheme is orthogonal frequency-division multiplexing (OFDM), which refers to the use, by a single transmitter, of a set of frequency multiplexed signals with the exact minimum frequency spacing needed to make them orthogonal so that they do not interfere with each other. Well known examples include (a, g, and n) versions of 802.11 Wi-Fi; WiMAX; ITU-T G.hn, DVB-T, the terrestrial digital TV broadcast system used in most of the world outside North America; and DMT, the standard form of ADSL.
Is there a good reason for (a, g, and n) to be enclosed in ()? —Tamfang (talk) 03:07, 23 October 2011 (UTC)
Orthogonality vs. Independence in ....[edit]
Orthogonality vs. Independence in random variables and statistics.
Independence is a much stronger specification or assumption than orthogonality or uncorrelated.
Orthogonal means that E(XY) = 0.
If E(XY) = E(X)E(Y), then X and Y are uncorrelated.
The above must not be confused by the following.
If two random variables or statistics X and Y are jointly Gaussian;
And X and Y are both zero mean; [This is often forgotten about.]
And X and Y are orthogonal;
Then X and Y are independent.
Otherwise, the independence of X and Y has to be considered on a case-by-case basis.
For independence, if f(x,y) is the joint probability density of X and Y, then we must have f(x,y) = f(x)f(y). There is no other way.
If E(XY) = 0, and either E(X) = 0 or E(Y) = 0, then X and Y are uncorrelated because E(XY) = E(X)E(Y) = 0. — Preceding unsigned comment added by 22.214.171.124 (talk) 00:50, 25 August 2012 (UTC)
Ancient history[edit]
Attributing the concept of orthogonality (really perpendicularity) to the Babylonians or the Egyptians or whatever is probably not reasonable. All ancient mathematical civilizations (Babylonian, Egyptian, Indian, Chinese) had the concept of perpendicularity in two dimensions -- a discussion which belongs in perpendicularity. I am not sure that any of them had any of the generalizations that are called "orthogonality". --Macrakis (talk) 00:51, 25 January 2013 (UTC)
Alternate Definitions[edit]
The bottom of this page is lacking in succinctness, if you ask me. Many if not all of the smaller subsections starting at "Art and Architecture" should be grouped into a single "Definitions in other fields" section. The "Statistics, econometrics, and economics" section mentions nothing about economics and the only comments on econometrics can be generalized to optimization problems overall (and are only tangentially related to orthogonality, questioning the importance in an article devoted to explaining the concept of orthogonality). Furthermore, the general background knowledge assumed in the reader is very different for each heading. I propose the section be condensed with easy to comprehend definitions, more like the Taxonomy section (which defines its jargon somewhat) than the Neuroscience section (which leaves its jargon to the imagination without even linking another page or reference).
Also, rather than bring up individual tidbits that relate to or require orthogonality (I'm looking at econometrics again...), maybe a dedicated section called "Properties that follow from orthogonality" might be useful. Compiling this list would be difficult for one person, but if we could bring back all the people that made those ridiculous subheadings, they'd be able to fill a good amount of it in. — Preceding unsigned comment added by 2602:304:AB31:95F9:DD98:CE54:FF67:41C6 (talk) 17:36, 31 May 2013 (UTC)
Problem with etymology section[edit]
Under etymology it is stated that the Greek term ορθογώνιον (= orthogonal) was used to denote a rectangle, and then it came to mean "right triangle." This is incorrect.
A right triangle is denoted by "ορθογώνιον τρίγωνον" which literally translates to "right angle triangle." The term "ορθογώνιον" without being accompanied by the word "τρίγωνον" (= triangle) is still used to denote a rectangle, and was never used differently.
Note: Not sure whether the Latin term "orthogonalis" came to mean "right triangle" or not; I'm only certain about the Greek term.
220.127.116.11 (talk) 15:04, 1 May 2015 (UTC)


text:
10) "We do have a hockey team that knows what the Stanley Cup is."
9) "Promise me you'll never sign Ryan Franklin."
8) "So, Princess Leia is Luke's sister... But didn't they kiss?"
7) "Sure, we can change the colors to the same as the Dominican flag."
6) "We grow more than ivy in the outfield."
5) "If you tear down Wrigley, I will come."
4) "You hear Shan Whiston is leaving WGEM?"
3) "I know what you did last summer."
2) "Is that a syringe in your pocket or you just happy to see me?"
1) "Obama can produce a birth certificate for you, too."
513 Hampshire Quincy, IL 62301
Switchboard: (217) 228-6600
News Tips: (217) 228-6655 email@example.com


text: GAINESVILLE, Fla., Oct. 15, 2013 /PRNewswire/ -- TruStar Energy is excited to announce the grand opening of their most recent station build for national refuse hauler, WCA, at their Gainesville, Fla., location. (Logo: http://photos.prnewswire.com/prnh/20130516/LA15327LOGO) The time-fill station will serve to fuel WCA's fleet of over 50 compressed natural gas refuse vehicles. This station represents the first CNG fueling station in Gainesville, Fla, but WCA management views this as the introduction to a much bigger story. "We're very impressed with WCA's commitment toward the environment and in moving away from foreign oil – but equally impressed with the timeframe they've established to migrate their fleet," said TruStar Energy Vice President, Scott Edelbach. "This two-compressor station allows them to increase their efficiencies by fueling on site using fuel that is about half the price of diesel and domestically produced. We designed the station for expansion, should WCA choose to do so." And according to Robert Mecchi, WCA Vice President of Fleet & Procurement, expansion is something that's core to WCA's growth model. "The WCA Gainesville facility is a company milestone and adds a much greater footprint to WCA's growing CNG fleet," said Mecchi. "CNG is the best transportation fuel for our tethered fleets. The sheer prevalence of natural gas makes it the best domestic resource that can power our current and future transportation needs and greatly reduces our national dependency on oil imports." "WCA plans to install several stations over the next few years to achieve an overall 80% CNG-fueled fleet by 2017. As we see it at WCA, the benefits of using CNG fuel for heavy-duty trucks are: overnight fueling, quieter running (nearly half as loud as diesel trucks to the human ear) and a fuel that's domestically produced," said Mecchi.


text:
|Property type
|Minimum Stay
|3 nights
Minimum stay 30 days or other. The Oceanview 2BR is a modern and luxurious two-bedroom, two-bathroom apartment on Santa Monica beach, just steps from the sand, close to Casa Del Mar, Loews and Shutters Hotels. Across from the bike path and walking distance from the Santa Monica Pier, Third Street Promenade, Main Street Shops, theatres, art galleries and many cafes and restaurants. Only a 5 min bike ride to the famous Venice Beach boardwalk.
Enjoy the best of Santa Monica with ocean and beach views from this spacious two-bedroom, two-bathroom apartment, located on the second floor of a fully restored 3-story building. Conveniently located in Ocean Park neighborhood, the place were skateboarding was born! Comfortably furnished, with over 900 square feet of bright and light living space. The apartment has wood floors throughout the living and dining room area with carpeting in the bedroom. Enjoy watching a DVD, an HBO movie or your favorite TV series on a 47" TV from a comfortable sleeper sofa in the living room or check your emails or surf the web from anywhere in our apartment with our high speed wireless internet access.
The bedroom has a high quality pillow top mattress, to help give you a great night sleep. A large closet and armoire provide you with ample storage space. An adjacent beautifully tiled bathroom is equipped with a combined tub/shower.
Enjoy ocean views from the kitchen while preparing a meal. The kitchen has granite counter-tops, stainless steel appliances including oven, refrigerator, microwave and dishwasher, and comes fully equipped with everything you need.
A stackable washer and dryer is located inside the unit. The apartment comes with its own private parking space.
As most beach properties along the California Coastline, this property is not equipped with an A/C unit. With average beach temperatures ranging from 65 to 75 degrees year round, air conditioning is not generally needed in our beach areas. For our warmer days, each of our beach properties is equipped with portable ventilator fans which, when combined with open windows, allow the fresh ocean air to circulate and cool your property to a very pleasant temperature.
I stayed in the 1 bedroom unit. The property was nice and right across the street from the beach. Beach view from the kitchen was beautiful. Can be noisy at night from outside but I was on vacation so didn't bother me. Would definitely stay here again. Property management was very quick to answer all my questions.
our family had a delightful long weekend staying at this apartment overlooking the beach. it was convenient to the beach, bike/walking path, santa monica pier and a variety of eating options. the apartment itself was comfortable and provided a perfect venue for the family to come and go. i would recommend this place as an alternative to pricey hotel rooms.
|Rental Period
|Minimum Price
|Additional Nights
|Weekend Night
|Event Price
16 Jun 2017 - 4 Sep 2017
3 night minimum stay
for 3 nights
My Standard Rate
3 night minimum stay
for 3 nights
|Damage Waiver
|Exit Cleaning
Payment by Credit Card will also add a 3% processing fee to your Total Booking Charges. If you choose to pay by check, electronic check or wire transfer, no processing fee will be added to your Total Booking Charges. Please note that if your Arrival date is less than 10 days from the time of booking, only credit cards are accepted as payment.


text: Join us for an open house, tour and information on our maternity and educational services. No children, please. Reservations are necessary and can be made by calling (888) 456-2847. Discovering Parenthood Classes MATERNITY TEA AND TOUR A brief explanation of Foothill Presbyterian Hospital's maternity services is given, refreshments are served, and guests tour the perinatal unit. The tea begins at 7:30 p.m. the first Thursday of every month, excluding holidays. No children, please. CHILDBIRTH PREPARATION SERIES A comprehensive series of classes, especially designed for first-time parents. This course includes information about labor and delivery, Cesarean birth, coping with labor, comfort and pain control, breathing and relaxation techniques. BABY BASICS Provides information about normal newborn behavior and characteristics. This one-session class features diapering, bathing, cord care and living with a newborn. SIBLING CLASS This class is designed to introduce soon-to-be big brothers and big sisters to The Carl E. Wynn Newborn Inn. Children tour the perinatal unit and learn about the baby. P REPARING TO BREAST-FEED A discussion of techniques for successful breast-feeding. Additional Services & Programs Mother Baby Specialty Shoppe: For women delivering at The Family Birth & Newborn Center at Citrus Valley Medical Center – Queen of the Valley Campus or the Newborn Inn at Foothill Presbyterian Hospital, pump rentals and private consultations are available to help mothers solve their breast-feeding problems. Sweet Success: This program for women with diabetes or those who develop diabetes during pregnancy is aimed at keeping mom fit for delivering a healthy baby. Offered in English or Spanish.


text:
KABUL (Reuters) – More than 180 people have been killed in north Afghanistan in some of the worst avalanches there for 30 years, officials said on Thursday, with heavy snow set to last for two more days after an unusually dry winter led to fears of drought.
Officials warned of an imminent humanitarian emergency in areas most severely hit by the bad weather, with snow sweeping through villages and blocking off roads.
"We haven't seen this much snow, or this many avalanches, for 30 years," said Abdul Rahman Kabiri, acting governor of the mountainous province of Panjshir, north of Kabul, where 186 people were killed and more than 100 injured in avalanches.
Despite bringing misery to so many people, the snow is vital for Afghanistan, where much of the rural population dependent on agriculture relies on snow melting in the mountains to sustain crops in the spring and summer.


text:
Beefpaper is a fun dumb diary webcomic which is sometimes loosely based on the life of a thing called Shane and is sometimes very accurate to the life of the thing called Shane. HOORAY!
Many of the characters in Beefpaper are based on real people, however, Kip for example is fictional. See the FAQ for more info on this kind of stuffs. As Beefpaper is a diary, I wanted her to act almost like a bookmark for the past year up to the point where this chapter ends. She is also there to help show what I am feeling or thinking during the times/comics she is featured heavily in.
Beefpaper updates anyday I finish a comic, so there is no fixed schedule day (it usually updates with a minimum of two comics each week though!) You can get comic update notifications on Twitter, Facebook, Tapastic, Tumblr, Google+ , Comic Chameleon and the RSS feed, but don't tell other people that. He makes these comics just for you.
- Rating: Eh..
- Location: Dorest, UK
- Powers: he's ASEXUAL, he can turn into a tomato but only when embarrassed, he can get very hyper after eating only a tiny bit of sugar
- Fun facts: he has owned two cars named Sharon, he used to be chubby/overweight, he had very buck teeth, he has a bar permanently glued to the back of his front teeth to stop them from moving, he has never broken a bone, he has a stupid pituitary gland tumor, he was almost named Christopher, he has a cat called Connor who is cute but extremely stupid, he is an organ donor so he might be part of YOU ONE DAY, he glared at a light bulb when he was an angry teenager and it fell out of it's socket and smashed on the ground, he almost fully vegetarian except on special occasions, he is pretty sure he wanted to be a velociraptor when he grew up, he has a voice in his head which tells him to go buy lego LOTS OF LEGO, he secretly weeped during the end of the first Pokemon movie (he was ten-ish), he has been punched in the face by my Uncle (he's sure it was an accident…), he is an extremely bad shot with a pistol, he gets all sweaty and nervous while holding a pistol, he was terrified of tornadoes when he was a kid, he had a nightmare about the movie Mars Attacks when he was a kid which he woke up crying about, he cannot drink alcohol because of a broken liver, he likes sitting outside at night sometimes just to listen to the spiders, he wear shorts whenever possible, his shoe size is 10, he has freckle on his earlobe that everyone seems to want to pierce, he was home schooled for a year and a half, he has been locked inside a car boot with a fairly large spider, he loathes mayo, he is possibly the first person in the world to discover that you can use a grape as a stylus for an iPad/iPhone, he like faces, his weight as of 22/06/2014 is 70kg/11 stone, his favourite colours together are white blue and green, he cannot stand reckless drivers or red light runners because they are risking the lives of so many other people on the road and seemingly don't care about their own lives, he really wants to find a old buried chest or something like that one day, he freaks out if a wasp or bee flies near him and he loves sushi and LOVES SKYDIVING!!!
here's a picture of me wearing my long lost fish hat made by the incredible Takara Dancy!!
- Age: 1321 (approx)
- Location: Somewhere in the UK
- Powers: she's demisexual, xenomorph-like hissing, short range fire teleportation
- Fun facts (use this information wisely, my friends): Tasha lives on completely the opposite side of the planet to Shane, and despite having the ability to fire teleport, she can only do that short distances, until she levels up. She works as a graphic designer/concept artist at an awesome packaging company. Also known as the 'Lord of Darkness' by Shane, and 'Hoi' by almost everyone else she knows back in the UK. When she was a mere 900 years old, her best friend was a pet rat called squeaks. She drives around in her flesh-car and the walls of her flat bleed if you scratch them. She enjoys photo-bombing. She has a love for axolotls and cats, her favourite food is a toss-up between potatoes and pasta. She suffers from Migraines but secretly we all know it's just her brain trying to escape. She enjoys torturing Shane by eating mayonnaise in front of him… If you lose her in a crowd, all you need to do is listen out for her laugh or burp. She has 3 younger sisters, a crazy little nephew and a nutter for a mum (who found Tasha under a rock when she was a mere 200 years old and decided to take care of her). You don't want to be in a closed, air-tight room with her after she's eaten Kale. Despite being vegetarian, she has a pure hatred towards peas and raisins, one because of their jackets and the other because they looked like dried mouse poops and ruin the texture of perfectly good sponge cakes. She thinks it's funny when people think they know her better than she does. Her favourite breed of dog is a Jack Russell. She suffers from night terrors DX. When she laughs a tree somewhere in the world spontaneously catches fire. She usually ad unknowingly ends up talking about poop a lot at work. She and her nephew often enjoy farting contests with one another. She doesn't drink alcohol, because she doesn't need to, she acts drunk on any normal days, and even worse after sugar. Koka noodles sustain her. Watch your wallet, she will try to steal it. She is also the artist for the webcomic Tethered!
Try not to show fear.
- Location: Somewhere in New Zealand, probably
- Fun facts: kip is fictional, she lived in a cruddy rubbish skip, she goes flippin' mental over sushi and TACOS, she a collectormaniac and she has an obsession with collecting bottle caps and adding them to her 'precious collection', she's an indie comic book geek who enjoys reading Tethered, Sketchy Antics, Trivia From Nature, Lindemannade and Nameless PCs (just to name a very few), she regularly slacks off from her job of collecting rubbish around town and isn't too bothered by the fact she could get fired because of this, she collects and fixes up toys that she may find while picking up rubbish, SHE DESTROYS ANYTHING PINK, she one day wants a kick-butt dog called Hootch (after the dog from the film 'Turner and Hootch') and go around fighting crime, she would love to become an aviator one day (one of her inspirations are the women pilots, particularly Jean Batten who made the first-ever solo flight from England to New Zealand)
- Age: 22 (as of last appearance)
- Location: Somewhere in Australia
- Fun facts: Amber was a girl who Shane met randomly on a hill on a random Sunday in a random town he was passing through. Pies and horror movies were involved. She entered his life for a brief time and changed it up for the absolute best before leaving New Zealand to head back to Australia. He has never heard from her since.


text:
New Luxury Home at Kailua Beach(18 Reviews)
The owner has been emailed.
To book this property, you need to complete your booking through checkout on the VRBO website. We can't protect your payment if we don't know you've booked through us. Learn more
- Minimum stay:2-3 nights
- Sleeps:12
- Bedrooms:4
- Bathrooms:4
- Property type:Estate
- Internet:Yes
- Pets considered:Yes
- Wheel chair accessible:N/A
About the Property
Home: 4 bedroom / 4 bath home with optional 2 bedroom/ 1 bath unit on property
Hawaii Tax (Transient Accommodation License)
ID No. TAT-009-797-6320-01 and
(General Excise Tax License) ID No. GE-009-797-6320-01.
Located directly across the street from the Kailua Beach Park and Boat Launch, this modern rebuilt two-story home has a front main house consisting of 4 bedrooms, 4 bathrooms, 2 kitchen/bar, 2 living rooms, 2 laundry facilities, a lanai with ocean views and a garage recreation room. There is a yard behind the home as well. This home sleeps 12 max (with exceptions made for small children.)
For sleeping arrangements there are 2 king size bedrooms, 2 queen size bedrooms, 2 queen sleeper sofas in the downstairs living room and 2 'dr. pitt' sectional couches upstairs that converts to a large sleeping area (suitable for 3 children or two adults). We also have port-a-cribs, high chairs and strollers on site.
The upstairs and downstairs of this house can be "separated" and rented out separately. The bedroom floor plan is the same for both upstairs and downstairs (consisting of 2 bedrooms, 1 King master suite and 1 Queen bed with additional full bath each). They each have their own entrance, kitchen/bar, living room, dining area, lounge area, air conditioning in all bedrooms and laundry facilities. The upstairs is more open and breezy than the downstairs. The downstairs includes use of the garage / recreation room with glass garage doors that open up. Separated costs:
Upstairs only (2 bedroom / 2 bath) sleeps 6-8 max - $600/nt
Downstairs only (2 bedroom / 2 bath) sleeps 6-8 max - $600/nt
For additional room, if necessary, there is a back ohana house which is a second story addition that consists of 2 bedrooms and 1 bath. It has an ocean view, wonderful breeze and a wrap around deck. The ohana unit can comfortably sleep an additional 4 guests. This unit is $450/nt and NOT included in this listing. Please check out #666202 for more information.
Both houses have been essentially demolished and rebuilt from the ground up. Furnishings and design are comfortable, modern, contemporary and chic with luxury amenities and a classy touch. Pictures are still being updated regularly as improvements and additions are always being made.
This home is well stocked with all the essentials you need for ease of travel such as shampoo, conditioner, soap, cooking items, coffee, spices, condiments, laundry soap, tin foil, baggies, cleaning supplies, paper towels, sponges, toilet paper etc...
Recreational amenities for these homes will include complimentary use of outdoor equipment stored on site including 4 single kayaks, beach chairs, towels, sunscreen and snorkel gear. There is also a luxurious outside shower for easy use of washing off the beach.
Cancellation policy: Full refund minus 5% (for merchant and administrative fees) if cancelled more than 30 days from scheduled arrival. If cancelled within the 30 days, 50% of rental (deposit) will be forfeited unless it is rented for same time period.
When you're ready to book, here are some tips to keep in mind.
Paying with a credit card on VRBO protects your payment for up to $10,000 against listing fraud. We recommend completing your booking on VRBO.Verify your payment method
Member since: 2000
Property Type
- Estate
- 5300 sq. ft.
House Rules
- Max. occupancy 12
- Children Welcome
Accommodation Type
- Vacation Rental
- Guests Provide Their Own Meals
Onsite Services
- Massage
- Private Chef
- Long-Term Renters Welcome
Bedrooms: 4 Bedrooms, Sleeps 12, Beds for 12
- D/S Master Suite: 1 king
- U/S Master Suite: 1 king
- U/S Queen: 1 queen
- D/S Queen: 1 queen
- All bedrooms are modern with luxurious bedding, down pillows and a simplistic contemporary design. For additional sleeping, there are two queen sleeper sofas in the downstairs unit living room. There are also two "dr. pitt" sofas that easily coverts to a bed that can easily fit additional guests such as two adults or 3 children (each). ...moreless
Bathrooms: 4 Bathrooms
- D/S Master Bath: toilet, shower
- D/S Main Bath: toilet, shower
- U/S Master Bath: toilet, shower
- U/S Main Bath: toilet, shower
Outdoor Shower: outdoor shower
Warm water wash off the beach & keep your living space clean...moreless
- All bathrooms have travertine tile, high end fixtures with a modern contemporary decor. Toilet paper, shampoo, conditioner and body soap are provided complimentary....moreless
- DVD Player
Music Library:
Music channels are included in the Cable TV. A guide is on site for channel reference. ...moreless
- Away From It All
- Family
- Romantic
- Sports & Activities
- Botanical Garden
- Churches
- Cinemas
- Health/Beauty Spa
- Library
- Playground
- Recreation Center
- Restaurants
- Ruins
Local Services & Businesses
- ATM/Bank
- Babysitter
- Fitness Center
- Groceries
- Hospital
- Laundromat
- Massage Therapist
- Medical Services
Leisure Activities
- Beachcombing
- Bird Watching
- Boating
- Horseback Riding
- Luaus
- Miniature Golf
- Photography
- Scenic Drives
- Shopping
- Sight Seeing
- Walking
- Whale Watching
Location Type
Beach View:
Located directly across the street from Kailua Beach (boat ramp), you have views of the beach from the driveway and all beach facing windows upstairs. ...moreless
- Ocean View
- Water View
Sports & Adventure Activities
- Basketball Court
- Cycling
- Deepsea Fishing
- Equestrian Events
- Fishing
- Golf
- Hiking
- Ice Skating
- Kayaking
- Mountain Biking
- Paragliding
- Parasailing
- Sailing
- Scuba Diving Or Snorkeling
- Snorkeling
- Snorkeling/Diving
- Sound/Bay Fishing
- Surfing
- Swimming
- Water Skiing
- Wind-Surfing
- Child's Highchair
A large "fold out" table upstairs seats 14 comfortably with additional bar seating at the kitchen counters that seat an additional 6. The downstairs dining has bench seating and can accommodate 8. ...moreless
- Dining Area
- Seating for 14 people
- Air Conditioning:
- Clothes Dryer:
This has been turned into a recreation room with board games, cards and darts. ...moreless
- Hair Dryer
- Internet:
- Iron & Board
Linens Provided:
Luxury bamboo sheets have you feeling like you are slipping into a cloud. ...moreless
- Living Room
This location provides plenty of parking in front of the house and across the street. ...moreless
There is a phone for use that includes free long distance in the U.S....moreless
- Towels Provided:
- Washing Machine:
Coffee Maker:
There is a regular brew coffee maker upstairs with a French press coffee maker downstairs. Coffee is generally provided....moreless
- Cooking Utensils
- Dishes & Utensils
- Dishwasher
- Ice Maker
Both kitchen/bar have granite counters, new stainless steel appliances, are fully stocked with new white dishware, cooking utensils, pots and pans. ...moreless
- Microwave
- Oven
- Bicycles
Deck / Patio:
There is a small patio outside of the downstairs living room where the BBQ is. ...moreless
Many beautiful golf courses on Oahu. Dave, the onsite caretaker is a golf enthusiast and has been known to take guests to some pretty nice places for some friendly competition....moreless
- Kayak / Canoe:
Lanai / Gazebo:
The upstairs living room opens up to a wrap around lanai that has beach views. ...moreless
Lawn / Garden:
There is a yard / lawn for children to play between the two houses. ...moreless
RatesCurrency Conversion
|Weekend Night
|Monthly *
Nightly Rate
Oct 1 - Oct 28, 2017
2 night min stay
Nightly Rate
Nov 1 - Nov 10, 2017
3 night min stay
My Standard Rate
2 night min stay
Additional information about rental rates
- Cleaning fee $500 + tax
- Refundable Damage Deposit $1,100
- Tax Rate 13.95%
There is an additional 2 bedroom / 1 bath Ohana unit separate from the main house on site for additional accommodations for larger parties. Fee for Ohana unit is $450/night.
Also, Release of Liability forms need to be signed and mailed (or scanned and emailed) to Owner DUE NO LATER than 30 days prior to arrival date.
Owner's cancellation policy:
100% refund if canceled at least 30 days before arrival date.
Don't forget your vacation protection! Get protected now
Adding our Vacation Protection services can make sure your getaway goes smoothly, no matter what. We offer Cancellation Protection and Damage Protection so you can truly relax.
Car: Necessary
Owner info
Year Purchased: 2014
About the owner: I work for my husband's construction company and have been in Hawaii for almost 3 decades. We travel extensively for work and pleasure and know what it is I like and look for when renting 'homes away from home'. I strive for quality, modern, luxurious spaces with accommodating features that enhance a traveler's needs and comfort.
Why the Owner Chose Kailua, HI, USA:
Being fully remodeled from wall to wall and foundation to the roof, these homes were taken down to the bare shells and upgraded in every aspect. Everything except the exterior 4 walls and original foundation is new. Kailua is my home and while I have bought, fixed up and sold many properties here and the outer-islands, this property appealed to me because of it's location. I got to design and remodel these homes to my liking with a modern, simplistic and contemporary flair. Needless to say, I will not be selling these homes ever.
The Unique Benefits at this Estate:
It's modern, its chic, its comfortable and contemporary with luxury furnishings and fixtures. No need to drive when one of the world's best beaches is just feet away. Amenities include an outside shower and kayaks to venture to the Mokulua Islands. We will continue to enhance this amazing location where families can gather together in one prime location with plans to add a tropical hot tub area after we install our PV. We stock our homes with supplies, toiletries and condiments that make traveling and the overall enjoyment of our home more convenient and accommodating.
Contact us
Send email
- Primary: +1 8085907414 Louise ...Property manager
- Secondary: +1 8083833119 Genette Simpkins Owner
Links to more information:
- Click Here to see All My Rental Listings
Main House Exterior
Upstairs Kitchen into living and dining area
Upstairs Lounge Pit
Upstairs Living Room
Upstairs Master Bedroom
Upstairs Bedroom
Outside Shower & Beach Necessities
Downstairs Kitchen
Downstairs Laundry Room
Downstairs Dining Area
Downstairs Master Bathroom
Downstairs Bathroom
Upstairs Overview
Upstairs Kitchen
Upstairs Living Room
Upstairs Deck with seating
Upstairs Master Bathroom
Upstairs Bathroom
Downstairs Overview
Downstairs Living Room
Downstairs Living Room
Downstairs Master Bedroom
Downstairs Bedroom
Downstairs Garage Lounge
This listing was first published here in 2005.
Date last modified - Wednesday, May 24, 2017
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text:
Like you needed an excuse. From the Mirror.
Scientists using mice in their research have discovered that lovemaking greatly increases the creation of neurons located within the hippocampus, the part of the brain responsible for the formation of long-term memory. And stopping the mice from having sex led to a fall-off in their intelligence, psychologists from the University of Maryland found.
Wednesday, February 26, 2014
Vid Of The Day: Lip-Sync Battle Between Paul Rudd and Jimmy Fallon
Both great but I gotta go with Paul. Link from Julie Martin.
10 People From Your Past Who Will Haunt You On Facebook
Hey C-man! Was this a GREAT year or WHAT? You made Trigg tolerible. I'll never forget the raisins. Kincaid will miss us next year. You're a rad dude. Stay cool.
Friends forever,
Yeah, friends forever, Steve -- whoever da fuck you are.
I have zero recollection of Steve. None. Not a clue. Nor do I remember any shenanigans involving dried fruit with this Steve or anyone else.
I looked up all the Steves in my class -- there were three -- and I knew none of them (my school was huge). I remember Trig, I remember Mrs. Kincaid, I don't remember Steve.
Maybe someone was playing me. I hope so. I don't want Steve to find me on Facebook and have to pretend I remember him and all the wacky fun times we had in Trig. I hated Trig.
Other people from your past who will find you on FB:
What They'll Say:
Dear all,
It's with deep regret that I must inform you that our friend from high school, Gordon Porgle, was involved in a car accident.
You may remember Gordon as the quiet person who would spend his time in the library rather than waste his time with us outside. One of my favorite memories of Gordon was that time at the school talent quest when he played GnR on the classical piano. It was hilarious.
He is in intensive care, but is expected to make a full recovery. I will be sending a card soon. If you would like your name to be included, please let me know.
What They'll Really Mean: I've atoned for being an asshole at high school by caring about the uncool kid. I'm better than you.
What They'll Say:
Hi all!
This is just an update for everybody about the reunion. I'm still waiting for a few people to get back to me about when the best time is, but it's looking like it'll be held between Jan and June.
I've found a few more people from class and added them to the list. If this is the first time you've received one of these emails, some of us who are still in the old neighborhood will be hiring out the gymnasium at the high school for a get together.
Please let me know when you can make it back to town.
What They'll Really Mean: Remember how I was popular in high school? I'm better than you.
What They'll Say:
Good friend from a yesteryear passing.
I was simply running my tired eyes over the complexities of human existence in the electronic age − fashion, dot-coms, recipe indexes − when I stumble across the musings of a brother from the past.
It is with great pleasure that I share the love of God with you and offer you my shankra. The sublime Lord has allowed love of humans to spread as energy, which is why He/She (?) allowed the Network of Hope to be created.
I am floating an egg for you and hope you will share with me your comings and goings; toings and frowings; wins and deaths, so we shall once again share.
What They'll Really Mean: I'm in a cult and we're recruiting new members.
(See the rest at Cracked)
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