Global Information Lookup Global Information

Room square information


A Room square, named after Thomas Gerald Room, is an n × n array filled with n + 1 different symbols in such a way that:

  1. Each cell of the array is either empty or contains an unordered pair from the set of symbols
  2. Each symbol occurs exactly once in each row and column of the array
  3. Every unordered pair of symbols occurs in exactly one cell of the array.

An example, a Room square of order seven, if the set of symbols is integers from 0 to 7:

0,7 1,5 4,6 2,3
3,4 1,7 2,6 0,5
1,6 4,5 2,7 0,3
0,2 5,6 3,7 1,4
2,5 1,3 0,6 4,7
3,6 2,4 0,1 5,7
0,4 3,5 1,2 6,7

It is known that a Room square (or squares) exist if and only if n is odd but not 3 or 5.

and 27 Related for: Room square information

Request time (Page generated in 0.8534 seconds.)

Room for Squares

Last Update:

Room for Squares is the debut studio album by American singer-songwriter and guitarist John Mayer, originally released on June 5, 2001, and re-released...

Word Count : 1638

Room square

Last Update:

A Room square, named after Thomas Gerald Room, is an n × n array filled with n + 1 different symbols in such a way that: Each cell of the array is either...

Word Count : 593

No Room for Squares

Last Update:

No Room for Squares is an album by jazz tenor saxophonist Hank Mobley recorded on March 7 & October 2, 1963 and released on the Blue Note label. It features...

Word Count : 289

A Room in Chelsea Square

Last Update:

A Room in Chelsea Square is a 1958 British gay novel by Michael Nelson, originally published anonymously due to its homosexual content and "thinly veiled...

Word Count : 709

Situation Room

Last Update:

Situation Room is an intelligence management center on the ground floor of the West Wing of the White House. While the name suggests it is a single room, it...

Word Count : 1426

Amber Room

Last Update:

In Russia, the room was installed in the Catherine Palace. After expansion and several renovations, it covered more than 55 square metres (590 sq ft)...

Word Count : 2699

Studio apartment

Last Update:

prefix for one, and "ambiente" means room). Australia In Australia, a studio apartment is usually between 20 and 40 square meters. Features can vary. Studios...

Word Count : 2189

Knossos

Last Update:

and the slopes to the north and west. Residents lived in one- or two-room square houses of mud-brick walls set on socles of stone, either field stone...

Word Count : 5538

Tiananmen Square

Last Update:

Tiananmen Square or Tian'anmen Square (/ˈtjɛnənmən/) is a city square in the city center of Beijing, China, named after the eponymous Tiananmen ("Gate...

Word Count : 1995

Tank Man

Last Update:

Tiananmen Square photo". CNN. Retrieved June 5, 2024. I walked up to him and whispered, 'I'm from Associated Press, can you let me up to your room?' He picked...

Word Count : 3793

Thomas Gerald Room

Last Update:

Thomas Gerald Room FRS FAA (10 November 1902 – 2 April 1986) was an Australian mathematician who is best known for Room squares. He was a Foundation Fellow...

Word Count : 1464

One Room of Happiness

Last Update:

One Room of Happiness (幸色のワンルーム, Sachiiro no One Room, transl. "Happiness-colored One Room") is a Japanese manga series written and illustrated by Hakuri...

Word Count : 797

Piazza San Marco

Last Update:

without proof) to Napoleon calls the Piazza San Marco "the drawing room of Europe". The square is dominated at its eastern end by St Mark's Basilica. It is...

Word Count : 6315

Magic square

Last Update:

reciprocal magic square Room square Square matrices Sigil (magic) Sriramachakra Sudoku Unsolved problems in mathematics Vedic square Miller, Jeff (September...

Word Count : 22266

Combinatorial design

Last Update:

6) is An H(2n − 1, 2n) is a Room square of side 2n − 1, and thus the Howell designs generalize the concept of Room squares. The pairs of symbols in the...

Word Count : 4362

Changing room

Last Update:

a changing room exists as a small portion of a restroom/washroom. For example, the men's and women's washrooms in Toronto's Dundas Square (which includes...

Word Count : 1312

The Rec Room

Last Update:

Cineplex aimed to open 10-15 locations of The Rec Room nationally, ranging in size from 30,000 to 50,000 square feet. The company subsequently announced and...

Word Count : 585

Just Room Enough Island

Last Update:

Just Room Enough Island, also known as Hub Island, is an island located in the Thousand Islands chain, in New York, United States. The island is known...

Word Count : 255

Mayflower Hotel

Last Update:

The Grand Ballroom was the most opulent room in the Mayflower Hotel. As with the Presidential Room, square piers formed colonnades along the north and...

Word Count : 9942

Room in Rome

Last Update:

Spain as the hotel room setup. The location of the hotel in the film is an empty square called Piazzetta di San Simeone, the same square used in opening...

Word Count : 1126

American Foursquare

Last Update:

The American Foursquare or American Four Square (American 4 Square) is an American house vernacular under the Arts and Crafts style popular from the mid-1890s...

Word Count : 788

Conference hall

Last Update:

A conference hall, conference room, or meeting room is a room provided for singular events such as business conferences and meetings. It is commonly found...

Word Count : 416

Rage room

Last Update:

created an early rage room in her Dallas garage in 2008, using items abandoned on the street. She opened the Anger Room, a 1,000-square-foot Dallas warehouse...

Word Count : 783

A Room with a View

Last Update:

A Room with a View is a 1908 novel by English writer E. M. Forster, about a young woman in the restrained culture of Edwardian-era England. Set in Italy...

Word Count : 2989

Cleanroom

Last Update:

A cleanroom or clean room is an engineered space that maintains a very low concentration of airborne particulates. It is well isolated, well controlled...

Word Count : 3473

Beacon Grand Hotel

Last Update:

The Beacon Grand is a historic 416-room hotel in San Francisco, California, opened in 1928 as the Sir Francis Drake Hotel. It is located at the corner...

Word Count : 1692

Soundproofing

Last Update:

controls reverberant sound pressure levels within a cavity, enclosure or room. Synthetic absorption materials are porous, referring to open cell foam (acoustic...

Word Count : 2538

PDF Search Engine © AllGlobal.net