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In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is the same (in which ...
The lung's alveoli are not tiny balloons that expand and contract under positive pressure following the Young–Laplace equation, as is taught in some physiology and medical textbooks. The tissue structure is more like a sponge with polygonal spaces that unfold and fold under negative pressure from the chest wall.
A special case of the inequality was conjectured in 1955; [1] further development was given by Olive Jean Dunn in 1958. [2] [3] The general case was stated in 1972, also as a conjecture. [4] The case of dimension n=2 was proved in 1977 [5] and certain special cases of higher dimension have also been proven in subsequent years. [6]
Illustration of the squeeze theorem When a sequence lies between two other converging sequences with the same limit, it also converges to this limit.. In calculus, the squeeze theorem (also known as the sandwich theorem, among other names [a]) is a theorem regarding the limit of a function that is bounded between two other functions.
The first of these quadratic inequalities requires r to range in the region beyond the value of the positive root of the quadratic equation r 2 + r − 1 = 0, i.e. r > φ − 1 where φ is the golden ratio. The second quadratic inequality requires r to range between 0 and the positive root of the quadratic equation r 2 − r − 1 = 0, i.e. 0 ...
The gender-equality paradox is the finding that various gender differences in personality and occupational choice are larger in more gender equal countries. Larger differences are found in Big Five personality traits, Dark Triad traits, self-esteem, depression, personal values, occupational and educational choices.
Female filmmakers protesting the gender pay gap and other inequalities in the film industry, during the 2018 Cannes Film Festival The gender pay gap can be a problem from a public policy perspective because it reduces economic output and means that women are more likely to be dependent upon welfare payments , especially in old age.
Educational Inequality is the unequal distribution of academic resources, including but not limited to school funding, qualified and experienced teachers, books, physical facilities and technologies, to socially excluded communities. These communities tend to be historically disadvantaged and oppressed.