In number theory, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is 1. Consequently, any prime number that divides a does not divide b, and vice versa. This is equivalent to their greatest common divisor (GCD) being 1. One says also ais prime tob or ais coprime withb.
In mathematics, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Complementarily, noncommutative algebra is the study of ring properties that are not specific to commutative rings. This distinction results from the high number of fundamental properties of commutative rings that do not extend to noncommutative rings.
Ruth Alston Brown was an American singer-songwriter and actress, sometimes referred to as the "Queen of R&B". She was noted for bringing a pop music style to R&B music in a series of hit songs for Atlantic Records in the 1950s, such as "So Long", "Teardrops from My Eyes" and "(Mama) He Treats Your Daughter Mean". For these contributions, Atlantic became known as "the house that Ruth built". Brown was a 1993 inductee into the Rock and Roll Hall of Fame.
Gladys Knight & the Pips were an American R&B, soul, and funk family music group from Atlanta, Georgia, that remained active on the music charts and performing circuit for over three decades starting from the early 1950s.
Sister Sledge was an American musical vocal group from Philadelphia, Pennsylvania. Formed in 1971, the group consists of sisters Joni, Kim, Debbie, and Kathy Sledge. The siblings achieved international success at the height of the disco era. In 1979, they released their breakthrough album We Are Family, which peaked at number three on the Billboard 200 and included the 1979 US top-10 singles "He's the Greatest Dancer" and "We Are Family". "We Are Family" earned a Grammy Award nomination for Best R&B Performance by a Duo or Group with Vocal.
Lamont Herbert Dozier was an American singer, songwriter, and record producer from Detroit. He co-wrote and produced 14 US Billboard number-one hits and four number ones in the UK.
New jack swing, new jack, or swingbeat is a fusion genre of the rhythms and production techniques of hip hop and dance-pop, and the urban contemporary sound of R&B. Spearheaded by producers Teddy Riley, Bernard Belle, Jimmy Jam and Terry Lewis, new jack swing was most popular from the late 1980s to early 1990s.
Lisa Jane Stansfield is an English singer, songwriter, and actress. Her career began in 1980 when she won the singing competition Search for a Star. After appearances in various television shows and releasing her first singles, Stansfield, along with Ian Devaney and Andy Morris, formed Blue Zone in 1983. The band released several singles and one album, but after the success of Coldcut's "People Hold On" in 1989, on which Stansfield was featured, the focus was placed on her solo career.
"Miss You Much" is a song by American singer Janet Jackson. Composed by songwriters and record producers Jimmy Jam and Terry Lewis, it was recorded for the singer's fourth studio album, Janet Jackson's Rhythm Nation 1814 (1989). As with all tracks for the album, recording took place at Lewis and Jam's Flyte Tyme Studios in Minneapolis, Minnesota between 1988 and 1989. Lyrically, the song narrates a longing to reconnect with a romantic partner after time spent apart.
Linked here are Billboard magazine's number-one rhythm and blues hits. The Billboard R&B chart is today known as the Hot R&B/Hip-Hop Songs chart.
Contemporary R&B is a popular music genre that combines rhythm and blues with elements of pop, soul, funk, hip hop, and electronic music.
Alicia Michelle "Miki" Howard is an American R&B singer who had top 10 hit songs in the mid-1980s and early 1990s, including "Baby, Be Mine" (1987), "Come Share My Love" (1986) and "Love Under New Management" (1990). "Ain't Nobody Like You" (1992) and "Ain't Nuthin' in the World" (1989) both peaked at number one on the U.S. Billboard Top R&B Singles chart.
Don't Be Cruel is the second studio album by American singer Bobby Brown. It was released in the United States on June 20, 1988, by MCA Records. MCA changed producers for this album and had Brown work with hit-making songwriting and production duo Babyface and L.A. Reid. Brown dedicated the album to his deceased best friend James "Jimbo" Flint who was stabbed to death when Brown was aged 11. Don't Be Cruel incorporates new jack swing, R&B, funk, dance and soul.
"Right Here Waiting" is a song by American singer and songwriter Richard Marx. It was released on June 29, 1989, as the second single from his second album, Repeat Offender (1989). The song was a global hit, topping charts in many countries around the world, including Australia, Canada, Ireland, New Zealand, and the United States where it reached number one on the Billboard Hot 100. The same year, it was certified platinum by the Recording Industry Association of America (RIAA). It was the UK's most streamed love song on Spotify ahead of Valentine's Day in 2013 and has since been covered by many artists, including R&B singer Monica.
"I'll Be Good to You" is a 1976 hit song by R&B duo the Brothers Johnson. George Johnson, one of the two Johnson brothers in the band, wrote the song after deciding to commit to a relationship with one woman, instead of dating several at a time. While George was recording a demo for the song, family friend Senora Sam came by and added some lyrics. Brothers Johnson producer and mentor Quincy Jones heard the song, liked it, and convinced George to sing lead on the finished track. Released from their debut album, Look Out for #1, it was a top-ten hit on the Billboard Hot Singles Charts, peaking at number three, and a number one song on the Billboard R&B Charts during the summer of 1976. The single was later certified gold by the RIAA.
"Where Is the Love" is a popular song written by Ralph MacDonald and William Salter, and recorded by Roberta Flack and Donny Hathaway. Released in 1972 from their album, Roberta Flack & Donny Hathaway. It peaked at number five on the Billboard Hot 100 singles chart and spent a week each at number one on the Billboard Easy Listening chart and R&B chart. Billboard ranked it as the No. 58 song for 1972. The song won a Grammy Award for Best Pop Performance by a Duo or Group with Vocals.
Giving You the Best That I Got is the third album by American R&B/soul singer Anita Baker, released in 1988. It was Baker's first and only #1 album in the US, her second #1 R&B Album, and was certified 3× platinum in 1989 by the RIAA. The title track was released as the first single from the album and became Baker's highest-charting single in the US, peaking at #3 on the Billboard Hot 100. The album earned Baker three Grammy Awards and three Soul Train Music Awards.
"Giving You the Best That I Got" is a 1988 song by American R&B recording artist Anita Baker. The music video was filmed inside the 109th Field Artillery in Kingston, Pennsylvania. The song appears on Baker's album of the same name, which was released in the fall of that year. The song was written by Baker, Skip Scarborough and Randy Holland.
In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature. Here, continuous means that pairs of values can have arbitrarily small differences. Every real number can be almost uniquely represented by an infinite decimal expansion.