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  2. Limit (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Limit_(mathematics)

    Limit (mathematics) In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further ...

  3. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by or , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be". [1] More precisely, given a function , the domain of f is X. In modern mathematical language, the domain is ...

  4. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto. For any non-surjective function the codomain and the image are different ...

  5. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    Elementary rules of differentiation. Unless otherwise stated, all functions are functions of real numbers (R) that return real values; although more generally, the formulae below apply wherever they are well defined [1][2] — including the case of complex numbers (C). [3]

  6. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    In a typical 6/49 game, each player chooses six distinct numbers from a range of 1–49. If the six numbers on a ticket match the numbers drawn by the lottery, the ticket holder is a jackpot winner— regardless of the order of the numbers. The probability of this happening is 1 in 13,983,816. The chance of winning can be demonstrated as ...

  7. Plus–minus sign - Wikipedia

    en.wikipedia.org/wiki/Plus–minus_sign

    Plus–minus sign. The plus–minus sign or plus-or-minus sign, ±, is a symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction. In statistics and experimental sciences, the sign commonly indicates the confidence ...

  8. Truncation error - Wikipedia

    en.wikipedia.org/wiki/Truncation_error

    Find the truncation in calculating the first derivative of () = at = using a step size of = Solution: The first derivative of () = is ′ =, and at =, ′ = The ...

  9. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    Range of a projectile. The path of this projectile launched from a height y0 has a range d. In physics, a projectile launched with specific initial conditions will have a range. It may be more predictable assuming a flat Earth with a uniform gravity field, and no air resistance. The horizontal ranges of a projectile are equal for two ...