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  2. Independent and identically distributed random variables

    en.wikipedia.org/wiki/Independent_and...

    For example, repeated throws of loaded dice will produce a sequence that is i.i.d., despite the outcomes being biased. In signal processing and image processing, the notion of transformation to i.i.d. implies two specifications, the "i.d." part and the "i." part: i.d. – The signal level must be balanced on the time axis. i.

  3. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The resulting identity is one of the most commonly used in mathematics. Among many uses, it gives a simple proof of the AM–GM inequality in two variables. The proof holds in any commutative ring. Conversely, if this identity holds in a ring R for all pairs of elements a and b, then R is commutative. To see this, apply the distributive law to ...

  4. Sentence diagram - Wikipedia

    en.wikipedia.org/wiki/Sentence_diagram

    A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which potential ...

  5. Diagrammatic reasoning - Wikipedia

    en.wikipedia.org/wiki/Diagrammatic_reasoning

    A logical graph is a special type of graph-theoretic structure in any one of several systems of graphical syntax that Charles Sanders Peirce developed for logic.. In his papers on qualitative logic, entitative graphs, and existential graphs, Peirce developed several versions of a graphical formalism, or a graph-theoretic formal language, designed to be interpreted for logic.

  6. Immediate constituent analysis - Wikipedia

    en.wikipedia.org/wiki/Immediate_constituent_analysis

    In other words, the whole sentence is not categorized as a noun phrase or a verb phrase, but as a new unit—a sentence—which is an exocentric construction. The rule S → NP VP demonstrates how the combination of these parts creates a new structure that doesn’t directly reflect the properties of its individual components.

  7. List of graphical methods - Wikipedia

    en.wikipedia.org/wiki/List_of_graphical_methods

    Included are diagram techniques, chart techniques, plot techniques, and other forms of visualization. There is also a list of computer graphics and descriptive geometry topics . Simple displays

  8. Constituent (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Constituent_(linguistics)

    Example (a) suggests that Drunks and could put off the customers are constituents. Example (b) suggests that Drunks could and put off the customers are constituents. The combination of (a) and (b) suggest in addition that could is a constituent. Sentence (c) suggests that Drunks could put and off the customers are not constituents.

  9. Node (linguistics) - Wikipedia

    en.wikipedia.org/wiki/Node_(linguistics)

    This sentence involves the following five PSRs: S → NP VP; NP → Det N (the man) NP → N (linguistics) AdvP → Adv (enthusiastically) VP → V NP AdvP (studies linguistics enthusiastically) With a tree diagram, the sentence's structure can be depicted as in Figure 1. Figure 1

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