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    It is well established that some people are genetically predisposed to a shorter lifespan. It is also well known that lifestyle factors, specifically smoking, alcohol consumption, diet and physical activity, can have an impact on longevity. However, until now there has been no investigation to understand the extent to which a healthy lifestyle may counterbalance genetics.

    Findings from several long-term studies suggest a healthy lifestyle could offset effects of life-shortening genes by 62% and add as much as five years to your life. The results were published in the journal BMJ Evidence-Based Medicine. “This study elucidates the pivotal role of a healthy lifestyle in mitigating the impact of genetic factors on lifespan reduction,” the researchers concluded.

(Andrew Gregory. www.theguardian.com, 30.04.2024. Adaptado.)

The seeds in a sunflower exhibit a golden spiral, which is tied to the Fibonacci sequence. (Image credit: belterz/Getty Images)

    The Fibonacci sequence is a series of numbers in which each number is the sum of the two that precede it. Starting at 0 and 1, the first 10 numbers of the sequence look like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on forever. The Fibonacci sequence can be described using a mathematical equation: X_n+2 = X_n+1 + X_n. People claim there are many special properties about the numerical sequence, such as the fact that it is “nature’s secret code” for building perfect structures, like the Great Pyramid at Giza or the iconic seashell that likely graced the cover of your school mathematics textbook. But much of that is incorrect and the true history of the series is a bit more down-to-earth. The first thing to know is that the sequence is not originally Fibonacci’s, who in fact never went by that name. The Italian mathematician who we call Leonardo Fibonacci was born around 1170, and originally known as Leonardo of Pisa, said Keith Devlin, a mathematician at Stanford University. (...)

    “Liber Abaci” first introduced the sequence to the Western world. But after a few scant paragraphs on breeding rabbits, Leonardo of Pisa never mentioned the sequence again. In fact, it was mostly forgotten until the 19th century, when mathematicians worked out more about the sequence’s mathematical properties. In 1877, French mathematician Édouard Lucas officially named the rabbit problem “the Fibonacci sequence”, Devlin said. Other than being a neat teaching tool, the Fibonacci sequence shows up in a few places in nature. However, it’s not some secret code that governs the architecture of the universe, Devlin said.

    It’s true that the Fibonacci sequence is tightly connected to what’s now known as the golden ratio, phi, an irrational number that has a great deal of its own dubious lore. The ratio of successive numbers in the Fibonacci sequence gets ever closer to the golden ratio, which is 1.6180339887498948482. The golden ratio manages to capture some types of plant growth, Devlin said. For instance, the spiral arrangement of leaves or petals on some plants follows the golden ratio. Pinecones exhibit a golden spiral, as do the seeds in a sunflower, according to "Phyllotaxis: A Systemic Study in Plant Morphogenesis"(Cambridge University Press, 1994). But there are just as many plants that do not follow this rule.

Adaptado de: What “is the Fibonacci sequence”?, Deblin said | Live Science.

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Internet: mediakasvatus.fi/ (adapted).

    Studying law offers the opportunity to develop a range of skills and explore many aspects of human life. It gives you the chance to sharpen your mind, strengthen your understanding and deepen your experience across the full range of humanities and social sciences. You acquire both breadth of understanding and depth in the areas that interest you most.

    Law should therefore appeal to those who want to develop both abstract thinking and practical problemsolving. It’s easy to see why you don’t have to become a lawyer just because you’ve done a law degree; many choose other paths. A law degree can give you the skills to be a successful lawyer but also a successful producer, politician, manager, journalist, diplomat or police officer; a law degree equips you for almost any profession that requires intellectual strength combined with a practical approach to the world.

Disponível em: https://www.trin.cam.ac.uk/subjects. Acesso em: abr. 2023. Fragmento.

T E X T

Nearly Half of Covid Patients Haven’t Fully Recovered Months Later, Study Finds

    A study of tens of thousands of people in
Scotland found that one in 20 people who had been sick
with Covid reported not recovering at all, and another
four in 10 said they had not fully recovered from their
[5] infections many months later.
    The authors of the study, published in the journal
Nature Communications, tried to home in on the longterm risks of Covid by comparing the frequency of
symptoms in people with and without previous Covid
[10] diagnoses.
    People with previous symptomatic Covid
infections reported certain persistent symptoms, such
as breathlessness, palpitations and confusion or
difficulty concentrating, at a rate roughly three times as
[15] high as uninfected people in surveys from six to 18
months later, the study found. Those patients also
experienced elevated risks of more than 20 other
symptoms relating to the heart, respiratory health,
muscle aches, mental health and the sensory system.
[20]     The findings strengthened calls from scientists
for more expansive care options for long Covid patients
in the United States and elsewhere, while also offering
some good news.
    The study did not identify greater risks of long

[25] term problems in people with asymptomatic
coronavirus infections. It also found, in a much more
limited subset of participants who had been given at
least one dose of Covid vaccine before their infections,
that vaccination appeared to help reduce if not
[30] eliminate the risk of some long Covid symptoms.
    People with severe initial Covid cases were at
higher risk of long-term problems, the study found. “The
beauty of this study is they have a control group, and
they can isolate the proportion of symptomatology that
[35] is attributable to Covid infection,” said Dr. Ziyad Al-Aly,
chief of research at the V.A. St. Louis Health Care System
and a clinical epidemiologist at Washington University in
St. Louis, who was not involved in the research. “It also
tracks with the broader idea that long Covid is truly a
[40] multisystem disorder,” Dr. Al-Aly said, one that resides
“not only in the brain, not only in the heart — it’s all of
the above.”
    Jill Pell, a professor of public health at the
University of Glasgow who led the research, said the

[45] findings reinforced the importance of long Covid
patients being offered support that extends beyond
health care and also addresses needs related to jobs,
education, poverty and disability. “It told us that Covid
can appear differently in different individuals, and it can
[50] have more than one impact on your life,” Dr. Pell said.
“Any approach to supporting people has to be, firstly,
personalized and also holistic. The answer doesn’t just
lie within the health care sector.
    Long Covid refers to a constellation of problems
[55] that can plague patients for months or longer after an
infection. Over the last year, researchers have given
more attention to understanding the daunting
aftereffects as the number of Covid cases exploded and
health systems learned to better manage the initial
[60] stages of an infection. U.S. government estimates have
indicated that between 7.7 million and 23 million people
in the United States could have long Covid.
    Globally, “the condition is devastating people’s
lives and livelihoods,” Tedros Adhanom Ghebreyesus,
[65] the director general of the World Health Organization,
wrote in an article for The Guardian. He called on all
countries to devote “immediate and sustained action
equivalent to its scale.”
    The authors of the study in Scotland tracked
[70] 33,000 people who had tested positive for the virus
starting in April 2020 and 63,000 who had never been
diagnosed with Covid. In six-month intervals, those
people were asked about any symptoms they had,
including tiredness, muscle aches, chest pain and
neurological problems, and about any difficulties with
[75] daily life.
    Of those with previous Covid cases, 6 percent
said on their most recent follow-up survey that they had
not recovered at all and 42 percent said that they had
[80] only partly recovered. Women, older people and those
living in poorer areas faced more serious aftereffects
from a Covid infection. So, too, did those with preexisting health problems, including respiratory disease
and depression.
[85]     Only a small portion of the study participants —
about 4 percent — had been vaccinated before their
infections, and many of those with only a single dose.
“We’re now really heavily reliant upon vaccination,” Dr.
Pell said, “which does confer some protection, but it’s
[90] not absolute.”

Adapted from: https://www.nytimes.com/2022/10/12/