The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The map was popularized in a 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation written down by Pierre François Verhulst.Mathematically, the logistic map is written where xn is a number between zero and one that represents the ratio of existing population to the maximum possible population. The values of interest for the parameter r (sometimes also denoted μ) are those in the interval [-2,4], so that xn remains bounded on [-0.5,1.5].This nonlinear difference equation is intended to capture two effects:
* reproduction where the population will increase at a rate proportional to the current population when the population size is small.
* starvation (density-dependent mortality) where the growth rate will decrease at a rate proportional to the value obtained by taking the theoretical "carrying capacity" of the environment less the current population. However, as a demographic model the logistic map has the pathological problem that some initial conditions and parameter values (for example, if r > 4) lead to negative population sizes. This problem does not appear in the older Ricker model, which also exhibits chaotic dynamics. The r = 4 case of the logistic map is a nonlinear transformation of both the bit-shift map and the μ = 2 case of the tent map.

* activist
* songwriter
* entrepreneur

Ermias Joseph Asghedom (August 15, 1985 – March 31, 2019), known professionally as Nipsey Hussle (often stylized as Nipsey Hu$$le), was an American rapper, activist and entrepreneur. Emerging from the West Coast hip hop scene in the mid-2000s, Hussle independently released his first mixtape, Slauson Boy Volume 1, to moderate local success, which led to him being signed to Cinematic Music Group and Epic Records. Hussle became known for his numerous mixtapes, including his Bullets Ain't Got No Name series, The Marathon, The Marathon Continues, and Crenshaw, the last of which American rapper Jay-Z bought 100 copies for $100 each. After much delay, his debut studio album Victory Lap was released in 2018 to critical acclaim and commercial success, and was nominated for the Best Rap Album at the 61st Grammy Awards in 2019. Two posthumous Grammy Awards for the songs "Racks in the Middle" and "Higher" were awarded to Hussle in the Best Rap Performance and Best Rap/Sung Performance categories, respectively, the next year at the 62nd Grammy Awards. Also known for his entrepreneurship, Hussle inaugurated the Marathon Clothing store, which he founded along with partners Carless, the head of the agency, Karen Civil, and his brother Samiel Asghedom in 2017, and started a co-working environment which he named "Vector 90". On March 31, 2019, Hussle was fatally shot outside his store Marathon Clothing in South Los Angeles. Eric Holder, a 29-year-old man who confronted Hussle earlier that day, was arrested and charged with murder on April 2, 2019.

The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The map was popularized in a 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation written down by Pierre François Verhulst.Mathematically, the logistic map is written The r = 4 case of the logistic map is a nonlinear transformation of both the bit-shift map and the μ = 2 case of the tent map.

Ermias Joseph Asghedom (August 15, 1985 – March 31, 2019), known professionally as Nipsey Hussle (often stylized as Nipsey Hu$$le), was an American rapper, activist and entrepreneur. Emerging from the West Coast hip hop scene in the mid-2000s, Hussle independently released his first mixtape, Slauson Boy Volume 1, to moderate local success, which led to him being signed to Cinematic Music Group and Epic Records.