Probably the most widely known data communications code so far (a.k.a. character representation) in use today is ASCII. In one or another (somewhat compatible) version, it is used by nearly all personal computers, terminals, printers, and other communication equipment. It represents 128 characters with seven-bit binary numbersthat is, as a string of seven 1s and 0s (bits). In ASCII, a lowercase "a" is always 1100001, an uppercase "A" always 1000001, and so on. There are many other encodings which represent each character by a byte (usually referred as code pages), integer code point (Unicode) or a byte sequence (UTF-8).
Shortly before 1951, Lewis Fry Richardson, in researching the possible effect of border lengths on the probability of war, noticed that the Portuguese reported their measured border with Spain to be 987 km, but the Spanish reported it as 1214 km. This was the beginning of the coastline problem, which is a mathematical uncertainty inherent in the measurement of boundaries that are irregular.
The prevailing method of estimating the length of a border (or coastline) was to lay out n equal straight-line segments of length with dividers on a map or aerial photograph. Each end of the segment must be on the boundary. Investigating the discrepancies in border estimation, Richardson discovered what is now termed the Richardson Effect: the sum of the segments is inversely proportional to the common length of the segments. In effect, the shorter the ruler, the longer the measured border; the Spanish and Portuguese geographers were simply using different-length rulers.
The result most astounding to Richardson is that, under certain circumstances, as approaches zero, the length of the coastline approaches infinity. Richardson had believed, based on Euclidean geometry, that a coastline would approach a fixed length, as do similar estimations of regular geometric figures. For example, the perimeter of a regular polygon inscribed in a circle approaches the circumference with increasing numbers of sides (and decrease in the length of one side). In geometric measure theory such a smooth curve as the circle that can be approximated by small straight segments with a definite limit is termed a rectifiable curve.
Country pop or soft pop, with roots in the countrypolitan sound, folk music, and soft rock, is a subgenre that first emerged in the 1970s. Although the term first referred to country music songs and artists that crossed over to top 40 radio, country pop acts are now more likely to cross over to adult contemporary music. It started with pop music singers like Glen Campbell, Bobbie Gentry, John Denver, Olivia Newton-John, Anne Murray, B. J. Thomas, The Bellamy Brothers, and Linda Ronstadt having hits on the country charts. Between 1972 and 1975, singer/guitarist John Denver released a series of hugely successful songs blending country and folk-rock musical styles ("Rocky Mountain High", "Sunshine on My Shoulders", "Annie's Song", "Thank God I'm a Country Boy", and "I'm Sorry"), and was named Country Music Entertainer of the Year in 1975. The year before, Olivia Newton-John, an Australian pop singer, won the "Best Female Country Vocal Performance" as well as the Country Music Association's most coveted award for females, "Female Vocalist of the Year". In response George Jones, Tammy Wynette, Jean Shepard and other traditional Nashville country artists dissatisfied with the new trend formed the short-lived Association of Country Entertainers in 1974; the ACE soon unraveled in the wake of Jones and Wynette's bitter divorce and Shepard's realization that most others in the industry lacked her passion for the movement.
During the mid-1970s, Dolly Parton, a successful mainstream country artist since the late 1960s, mounted a high-profile campaign to cross over to pop music, culminating in her 1977 hit "Here You Come Again", which topped the U.S. country singles chart, and also reached No. 3 on the pop singles charts. Parton's male counterpart, Kenny Rogers, came from the opposite direction, aiming his music at the country charts, after a successful career in pop, rock and folk music with The First Edition, achieving success the same year with "Lucille", which topped the country charts and reached No. 5 on the U.S. pop singles charts, as well as reaching Number 1 on the British all-genre chart. Parton and Rogers would both continue to have success on both country and pop charts simultaneously, well into the 1980s. Artists like Crystal Gayle, Ronnie Milsap and Barbara Mandrell would also find success on the pop charts with their records. In 1975, author Paul Hemphill stated in the Saturday Evening Post, "Country music isn't really country anymore; it is a hybrid of nearly every form of popular music in America."
During the early 1980s, country artists continued to see their records perform well on the pop charts. Willie Nelson and Juice Newton each had two songs in the top 5 of the Billboard Hot 100 in the early eighties: Nelson charted "Always on My Mind" (No. 5, 1982) and "To All the Girls I've Loved Before" (No. 5, 1984, a duet with Julio Iglesias), and Newton achieved success with "Queen of Hearts" (No. 2, 1981) and "Angel of the Morning" (No. 4, 1981). Four country songs topped the Billboard Hot 100 in the 1980s: "Lady" by Kenny Rogers, from the late fall of 1980; "9 to 5" by Dolly Parton, "I Love a Rainy Night" by Eddie Rabbitt (these two back-to-back at the top in early 1981); and "Islands in the Stream", a duet by Dolly Parton and Kenny Rogers in 1983, a pop-country crossover hit written by Barry, Robin, and Maurice Gibb of the Bee Gees. Newton's "Queen of Hearts" almost reached No. 1, but was kept out of the spot by the pop ballad juggernaut "Endless Love" by Diana Ross and Lionel Richie. The move of country music toward neotraditional styles led to a marked decline in country/pop crossovers in the late 1980s, and only one song in that periodRoy Orbison's "You Got It", from 1989made the top 10 of both the Billboard Hot Country Singles" and Hot 100 charts, due largely to a revival of interest in Orbison after his sudden death. The record-setting, multi-platinum group Alabama was named Artist of the Decade for the 1980s by the Academy of Country Music.