ভুল সংশোধন:
04:33 মিনিটে √2 =1 বলা হয়েছে যা অসতর্কতা।
এখানে যেই মান আসবে সেই মানকে রুট করতে থাকবেন । এক্ষেত্রে মূলত যতই বর্গমূল করবেন অসীম দশমিক সংখ্যা আসবে এবং সেই মান 1 এর কাছাকাছি হবে যার ফলে এ বিষয়টিকে বলা হয় fixed point attractor।
সুতরাং যে কোন সংখ্যাকে বর্গমূল করতে থাকলে তার fixed point attractor হচ্ছে 1
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Chaos theory is an interdisciplinary scientific theory and branch of mathematics focused on underlying patterns and deterministic laws highly sensitive to initial conditions in dynamical systems that were thought to have completely random states of disorder and irregularities.Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnectedness, constant feedback loops, repetition, self-similarity, fractals, and self-organization.The butterfly effect, an underlying principle of chaos, describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state (meaning that there is sensitive dependence on initial conditions).A metaphor for this behavior is that a butterfly flapping its wings in Brazil can cause a tornado in Texas.
Small differences in initial conditions, such as those due to errors in measurements or due to rounding errors in numerical computation, can yield widely diverging outcomes for such dynamical systems, rendering long-term prediction of their behavior impossible in general.This can happen even though these systems are deterministic, meaning that their future behavior follows a unique evolution and is fully determined by their initial conditions, with no random elements involved.In other words, the deterministic nature of these systems does not make them predictable.This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as:
Chaos: When the present determines the future, but the approximate present does not approximately determine the future.
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14 окт 2024
