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  1. The non-Abelian physics of light and sound has fundamental importance and potential for practical applications. It provides a versatile platform with numerous control knobs to investigate the behavior of particles and waves in highly nontrivial geometries, making it valuable for topological and mathematical physics.

  2. A simple "jiggle" recipe. So, we would like to make a 3D point \( p_n \in \mathbb R^3\) at the \( n^{\text th} \) animation frame jiggle. One way to do this is to have a target point (\(target \in \mathbb R^3\)) which will attract \( p_n \) in such a way that it "jiggles" around his \( target \).

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  4. Aug 16, 2018 · Examples may include factors you consider unimportant at the time of an experiment, such as the manufacturer of the glassware in a reaction or the color of paper used to make a paper airplane. Fact: A fact is a statement based on evidence obtained from direct observation. Graph: A graph is a picture that displays information. Examples of graphs ...

  5. Jul 1, 2020 · In a paper published today in Nature, the researchers report observing that quantum fluctuations, tiny as they may be, can nonetheless “kick” an object as large as the 40-kilogram mirrors of the U.S. National Science Foundation’s Laser Interferometer Gravitational-wave Observatory (LIGO), causing them to move by a tiny degree, which the ...

  6. Examples might include factors you consider unimportant at the time of an experiment, such as the manufacturer of the glassware in a reaction or the color of paper used to make a paper airplane. Hypothesis: A prediction of whether the independent variable will have an effect on the dependent variable or a prediction of the nature of the effect.

  7. The six steps of the scientific method include: 1) asking a question about something you observe, 2) doing background research to learn what is already known about the topic, 3) constructing a hypothesis, 4) experimenting to test the hypothesis, 5) analyzing the data from the experiment and drawing conclusions, and 6) communicating the results ...

  8. In this experiment, since we are aiming at a specific point on the paper, the hypothesis is as simple as, "The person is dropping the marble on the target point on the paper." While no individual drop actually hits this target point, the hypothesis states what would happen if all of the uncertainty could be removed (i.e. if the person had ...

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