The American Mathematical Society (AMS) is a professional association based in the United States that publishes a number of prestigious academic journals in various fields of mathematics. These journals serve as platforms for researchers to publish their findings, share knowledge, and advance the field of mathematics. Some of the notable journals published by the AMS include: 1. **Transactions of the American Mathematical Society**: Contains research articles of broad interest and importance in all areas of mathematics.
The Theory of Probability and Mathematical Statistics is a branch of mathematics that deals with the analysis of random phenomena and the principles of decision-making under uncertainty. It comprises two interrelated areas: ### 1. **Probability Theory:** Probability theory provides a mathematical framework for quantifying uncertainty. It involves the study of random variables, events, and the likelihood of occurrences of different outcomes. Key concepts in probability theory include: - **Random Variables:** Functions that assign numerical values to the outcomes of a random process.

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