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Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
In linguistics, a yes–no question, also known as a binary question, a polar question, or a general question, [1] is a question whose expected answer is one of two choices, one that provides an affirmative answer to the question versus one that provides a negative answer to the question.
An open-ended question asks the respondent to formulate his own answer, whereas a closed-ended question asks the respondent to pick an answer from a given number of options. The response options for a closed-ended question should be exhaustive and mutually exclusive. Four types of response scales for closed-ended questions are distinguished:
An open-ended question is a question that cannot be answered with a "yes" or "no" response, or with a static response. Open-ended questions are phrased as a statement which requires a longer answer. They can be compared to closed questions which demand a “yes”/“no” or short answer. [1]
A 2018 study of 2,585 articles in four academic journals in the field of ecology similarly found that very few titles were posed as questions at all, with 1.82 percent being wh-questions and 2.15 percent being yes/no questions. Of the yes/no questions, 44 percent were answered "yes", 34 percent "maybe", and only 22 percent were answered "no".
The sequence of numbers involved is sometimes referred to as the hailstone sequence, hailstone numbers or hailstone numerals (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), [5] or as wondrous numbers. [6] Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such ...
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
Boolos provides the following clarifications: [1] a single god may be asked more than one question, questions are permitted to depend on the answers to earlier questions, and the nature of Random's response should be thought of as depending on the flip of a fair coin hidden in his brain: if the coin comes down heads, he speaks truly; if tails ...