Understanding the Logistic Map and Fixed Points: A Simple Example

Understanding the Logistic Map and Fixed Points: A Simple Example

Have you ever wondered how complex behaviors in nature, like population growth, can emerge from surprisingly simple rules? Enter the Logistic Map, a mathematical model that’s a cornerstone in the study of chaos theory and complex systems. It’s defined by the recursive equation:     Here, is the growth rate, and represents the population (or ...

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Such an intellect nothing would be uncertain and the future just like the past would be present before its eyes

Such an intellect nothing would be uncertain and the future just like the past would be present before its eyes

“We may regard the present state of the universe as the effect of its past and the cause of its future. An intellect which at a certain moment would know all forces that set nature in motion, and all positions of all items of which nature is composed, if this intellect were also vast enough to submit these data to analysis, it would embrace in a single formula the movements of the greatest bodies of the universe and those of the tiniest atom; for such an intellect nothing would be uncertain and the future just like the past would be present before its eyes.”

The Healing Power of Phytoncides

The Healing Power of Phytoncides

Ever notice how calm and refreshed you feel after a walk in the forest? That’s partly thanks to phytoncides—natural compounds released by trees. These invisible plant chemicals protect trees from germs and pests, but they also work wonders on us. Breathing them in lowers stress, boosts immunity, and even improves sleep. Next time you need a reset, head to the woods—your body and mind will thank you.

Mitochondria and Chloroplasts: Ancient Bacteria Inside Cells

Mitochondria and Chloroplasts: Ancient Bacteria Inside Cells

Did you know that parts of your cells were once free-living bacteria? Mitochondria in Humans and Animals Every human and animal cell contains mitochondria (except red blood cells). These tiny powerhouses generate ATP, the cell’s main energy source. But originally, mitochondria were free-living bacteria that entered a host cell about 1.5–2 billion years ago. Over ...

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Blind conformity or conscious living?

Blind conformity or conscious living?

The survival instinct of individuals within a group easily deceives them to imitate unison acts of peers in that group. This is particularly true in the era of active social media consumption. While being a part of a group has undeniable benefits, people often engage in actions blindly, driven by the desire not to act ...

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Volvoks (Yosun)

Volvoks (Yosun)

Sosiumun kollektiv rifaha hədəflənən davranışı uzunmüddətli perspektivdə daha dayanıqlı və uzunmüddətli faydalar ilə nəticələnir. Maraqlıdır ki, İslamda da (Qurani-Kərimdə) çox nəzərə çarpan və davamlı təşviq olunan davranışlar bu prinsipi əsas götürür. Fərdin istək və arzuları kollektiv rifah ilə uyğun olmayanda ikinci, üçüncü plana keçir. Surə 4. ən-Nisa surəsi, 135-ci ayə Ey iman gətirənlər! Özünüzün, ata­-ananızın ...

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Total determinism! What’s next?

Total determinism! What’s next?

Total determinism is the only logical explanation for everything that has happened before, everything that is happening now, and everything that will happen next. There is no freedom of choice at all. However, people need to hold on to the idea of freedom of choice in order to function properly and avoid losing their minds. ...

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