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  2. Sequence diagram - Wikipedia

    en.wikipedia.org/wiki/Sequence_diagram

    A system sequence diagram should be done for the main success scenario of the use case, and frequent or complex alternative scenarios. There are two kinds of sequence diagrams: Sequence Diagram (SD): A regular version of sequence diagram describes how the system operates, and every object within a system is described specifically.

  3. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series is an infinite series derived from a special type of sequence called a geometric progression.This means that it is the sum of infinitely many terms of geometric progression: starting from the initial term , and the next one being the initial term multiplied by a constant number known as the common ratio .

  4. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    Applying the f function k times to the number n = 2 k a + b will give the result 3 c a + d, where d is the result of applying the f function k times to b, and c is how many increases were encountered during that sequence. For example, for 2 5 a + 1 there are 3 increases as 1 iterates to 2, 1, 2, 1, and finally to 2 so the result is 3 3 a + 2 ...

  5. Sequence - Wikipedia

    en.wikipedia.org/wiki/Sequence

    Sequences can be finite, as in these examples, or infinite, such as the sequence of all even positive integers (2, 4, 6, ...). The position of an element in a sequence is its rank or index; it is the natural number for which the element is the image. The first element has index 0 or 1, depending on the context or a specific convention.

  6. Geometric progression - Wikipedia

    en.wikipedia.org/wiki/Geometric_progression

    A geometric progression, also known as a geometric sequence, is a mathematical sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with a common ratio of 3.

  7. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    Thus the first term to appear between ⁠ 1 / 3 ⁠ and ⁠ 2 / 5 ⁠ is ⁠ 3 / 8 ⁠, which appears in F 8. The total number of Farey neighbour pairs in F n is 2| F n | − 3. The Stern–Brocot tree is a data structure showing how the sequence is built up from 0 (= ⁠ 0 / 1 ⁠) and 1 (= ⁠ 1 / 1 ⁠), by taking successive mediants.

  8. Sequence of tenses - Wikipedia

    en.wikipedia.org/wiki/Sequence_of_tenses

    In Latin, the sequence of tenses rule affects dependent verbs in the subjunctive mood, mainly in indirect questions, indirect commands, and purpose clauses. [4] If the main verb is in one of the non-past tenses, the subordinate verb is usually in the present or perfect subjunctive (primary sequence); if the main verb is in one of the past tenses, the subordinate verb is usually in the ...

  9. Sequence Organizers - Wikipedia

    en.wikipedia.org/wiki/Sequence_Organizers

    From graphic organizer to text – A completed sequence organizer is used to create a piece of writing based on the information it contains. From text to graphic organizer – A sequence organizer is used to simplify, in note form, events in a sequential order. This is often used by teachers to check student's comprehension of a text.