Placeholder: This brochure, written by Vladimir Arnold, consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors. This brochure, written by Vladimir Arnold, consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors.

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This brochure, written by Vladimir Arnold, consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors.

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18 days ago

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The value of a text extends beyond its content to include the origin of the information it contains. This origin can be rooted in significant events or the accomplishments of individuals. A text may serve as a record of an event, providing valuable documentation for future reference. It can also convey the achievements of notable individuals, whether they made groundbreaking discoveries or created influential works. It's important to note that the author of a text may not always be the person re
This brochure, written by Vladimir Arnold, consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors.
Among the cyber-intellectuals, individuals of unparalleled brilliance and astuteness immersed themselves in the pursuit of knowledge. Their bodies, intricately interwoven with cybernetic enhancements, symbolized the fusion of human ingenuity and artificial augmentation. In this convergence of beings, a tapestry of voices emerged, exchanging ideas, strategies, and insights. The room buzzed with the hum of discourse, ideas and plans taking shape like delicate algorithms in the minds of the partic
[books and newpapers] The value of a text extends beyond its content to include the origin of the information it contains. This origin can be rooted in significant events or the accomplishments of individuals. A text may serve as a record of an event, providing valuable documentation for future reference. It can also convey the achievements of notable individuals, whether they made groundbreaking discoveries or created influential works. It's important to note that the author of a text may not a
The value of a text extends beyond its content to include the origin of the information it contains. This origin can be rooted in significant events or the accomplishments of individuals. A text may serve as a record of an event, providing valuable documentation for future reference. It can also convey the achievements of notable individuals, whether they made groundbreaking discoveries or created influential works. It's important to note that the author of a text may not always be the person re
Imagine having a large collection of books and tapes, but some of them contain errors or biases. These flaws introduce incorrect information and spurious correlations. For example, books with a specific font style might have inaccuracies unrelated to the content. To overcome this, you want to extract the genuine knowledge common to all the books and tapes, disregarding the flawed details. The goal is to find a representation that captures the underlying concepts, free from biases. Similarly, in
[diagram] Spurious correlations can occur in machine learning when the data collection process is influenced by uncontrolled confounding biases. These biases introduce unintended relationships into the data, which can hinder the accuracy and generalization of learned models. To overcome this issue, a proposed approach involves learning representations that are invariant to causal factors across multiple datasets with different biases. By focusing on the underlying causal mechanisms rather than s
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The rabbit (or Fibonacci) numbers form a sequence (a(1) = 1), 1, 2, 3, 5, 8,13,21,34,...,in which a(n)+2 =a(n+1) +a(n) for an y n=1,2,... . Find the greatest common divisor of the numbers a(100) and a(99).
This brochure, written by Vladimir Arnold, consists of 77 problems for development of thinking culture, either selected or composed by the author. Most of them do not require any special knowledge beyond the general education. However, solving some of them may turn out challenging even for professors.
[woman, diagram] the principal may find it challenging to effectively monitor and control the agent's actions. The agent may engage in hidden actions or manipulate information, making it difficult for the principal to assess the agent's performance accurately. Lastly, the principal-agent problem can also be exacerbated by diverging risk preferences. The principal may be risk-averse, seeking to minimize potential losses, while the agent may be more risk-seeking, pursuing opportunities that offer
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