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  1. In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.

  2. Premise. Ye Wenjie, a Chinese astrophysicist, runs into trouble with the authorities after witnessing her father's death during a struggle session in the Cultural Revolution. Due to her scientific background, she is sent to a secret military base racing against other countries to make first contact with aliens during the Cold War.

  3. The three laws of motion were first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica ( Mathematical Principles of Natural Philosophy ), originally published in 1687. [3] Newton used them to investigate and explain the motion of many physical objects and systems.

  4. A small group of the Musketeers is led by Captain de Treville into a daring night raid to La Rochelle. Inside the fortress, they are discovered by Protestant rebels who were apparently informed about the coming raid by Comte de Chalais on Gaston's orders.

  5. Gross domestic product (GDP) is the market value of all final goods and services from a nation in a given year. [2] Countries are sorted by nominal GDP estimates from financial and statistical institutions, which are calculated at market or government official exchange rates.

  6. en.wikipedia.org › wiki › ChatGPTChatGPT - Wikipedia

    ChatGPT is a chatbot and virtual assistant developed by OpenAI and launched on November 30, 2022. Based on large language models (LLMs), it enables users to refine and steer a conversation towards a desired length, format, style, level of detail, and language. Successive user prompts and replies are considered at each conversation stage as context.

  7. en.wikipedia.org › wiki › 00 - Wikipedia

    In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division by zero has no meaning in arithmetic .

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