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The Institute for Management Development and Singapore University of Technology and Design rank cities in the Smart City Index according to technological, economic and human criteria (e.g., the quality of life, the environment and inclusiveness). In the Smart City Index 2023, the top 15 smart cities were, in order, Zürich, Oslo, Canberra ...
Statistical subregions as defined by the United Nations Statistics Division [1] This is a list of countries and other inhabited territories of the world by total population, based on estimates published by the United Nations in the 2024 revision of World Population Prospects. It presents population estimates from 1950 to the present. [2]
Demographics of the world. Demographics of Earth. Population pyramid of the world in 2022 by the UN. Population. Over 8,120,531,329 (estimated) Fertility rate. 2.27 (2021) Earth has a human population of over 8 billion as of 2024, with an overall population density of 50 people per km 2 (130 per sq. mile). Nearly 60% of the world's population ...
For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...
Nations and IQ. The relationship between nations and IQ is a controversial area of study concerning differences between nations in average intelligence test scores, their possible causes, and their correlation with measures of social well-being and economic prosperity. This debate started in the early 2000's after Richard Lynn and Tatu Vanhanen ...
The Human Development Report includes data for all 193 member states of the United Nations, [ 16] as well as Hong Kong SAR and the State of Palestine. However, the Human Development Index is not calculated for two UN member states: DPR Korea (North Korea) and Monaco, only some components of the index are calculated for these two countries.
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
In additive number theory, Fermat 's theorem on sums of two squares states that an odd prime p can be expressed as: with x and y integers, if and only if. The prime numbers for which this is true are called Pythagorean primes . For example, the primes 5, 13, 17, 29, 37 and 41 are all congruent to 1 modulo 4, and they can be expressed as sums of ...