A pesquisa aproveita ideias sociais abstratas de conflito, alinhamento, proeminaªncia e apoio, para explorar a interaça£o matemática entre distância e coesão oso tipo evidente quando, digamos, comparando ambientes urbanos e rurais.
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)
Crédito: Wake Forest University
A estrutura da comunidade, incluindo as relações entre e dentro dos grupos, éfundamental para nossa compreensão do mundo ao nosso redor. Novas pesquisas do professor de matemática e estatastica Kenneth Berenhaut, juntamente com a ex-bolsista de pa³s-doutorado Katherine Moore e o estudante de pós-graduação Ryan Melvin, lana§am uma nova luz sobre algumas questões estatasticas fundamentais.
"Quando encontramos dados complexos em áreas como saúde pública , economia ou em outros lugares, pode ser valioso abordar questões sobre a presença de grupos discernaveis e a 'coesão' inerente ou cola que mantanãm esses grupos juntos. Ao considerar tais conceitos, socialmente, os termos "comunidades", "redes" e "relações" podem vir a mente", disse Berenhaut.
A pesquisa aproveita ideias sociais abstratas de conflito, alinhamento, proeminaªncia e apoio, para explorar a interação matemática entre distância e coesão oso tipo evidente quando, digamos, comparando ambientes urbanos e rurais. Isso permite adaptações a variadas perspectivas locais.
"Por exemplo, consideramos dados psicola³gicos baseados em pesquisas que refletem diferenças e semelhanças em valores culturais entre regiaµes ao redor do mundo - nos EUA, China, andia e UE", disse Berenhaut. "Observamos grupos culturais distintos, com uma estrutura de rede interna rica, apesar dos desafios analaticos causados ​​pelo fato de que alguns grupos coesos (como a andia e a UE) são muito mais diversificados culturalmente do que outros. Mark Twain certa vez se referiu a andia como 'apaís de cem nações e cem languas, de mil religiaµes e dois milhões de deusesâ€. Regiaµes (como o Sudeste e a Califórnia nos EUA) podem ser percebidas como localmente distintas, apesar de sua relativa semelhança em um contexto global. Sa£o esses tipos de caracteristicas que estamos tentando detectar e entender."
O artigo, "Uma perspectiva social sobre distâncias percebidas revela uma estrutura comunita¡ria profunda ", foi publicado na revista Proceedings of the National Academy of Sciences .
"Estou animado com a maneira pela qual uma perspectiva social, juntamente com uma abordagem probabilastica, pode iluminar aspectos das comunidades inerentes aos dados de uma variedade de campos", disse Berenhaut. "O conceito de comunidades de dados proposto no artigo éderivado e alinhado com uma perspectiva social humana compartilhada. O trabalho cruza áreas com conexões com ideias em sociologia, psicologia, matemática, física, estatastica e outros".
Aproveitar nossas experiências e perspectivas pode levar a insights matema¡ticos e estatasticos valiosos.