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  2. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    For instance, if the number π is rounded to 4 decimal places, the result is 3.142 because the following digit is a 5, so 3.142 is closer to π than 3.141. [107] These methods allow computers to efficiently perform approximate calculations on real numbers. [108]

  3. Modified Dietz method - Wikipedia

    en.wikipedia.org/wiki/Modified_Dietz_method

    The modified Dietz method [1] [2] [3] is a measure of the ex post (i.e. historical) performance of an investment portfolio in the presence of external flows. (External flows are movements of value such as transfers of cash, securities or other instruments in or out of the portfolio, with no equal simultaneous movement of value in the opposite direction, and which are not income from the ...

  4. Hydraulic jumps in rectangular channels - Wikipedia

    en.wikipedia.org/wiki/Hydraulic_Jumps_in...

    Hydraulic jump in a rectangular channel, also known as classical jump, is a natural phenomenon that occurs whenever flow changes from supercritical to subcritical flow. In this transition, the water surface rises abruptly, surface rollers are formed, intense mixing occurs, air is entrained, and often a large amount of energy is dissipated.

  5. Division by zero - Wikipedia

    en.wikipedia.org/wiki/Division_by_zero

    Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. In 830, Mahāvīra unsuccessfully tried to correct the mistake Brahmagupta made in his book Ganita Sara Samgraha: "A number remains unchanged when divided by zero ...

  6. Archimedes - Wikipedia

    en.wikipedia.org/wiki/Archimedes

    As the number of sides increases, it becomes a more accurate approximation of a circle. After four such steps, when the polygons had 96 sides each, he was able to determine that the value of π lay between 3 ⁠ 1 / 7 ⁠ (approx. 3.1429) and 3 ⁠ 10 / 71 ⁠ (approx. 3.1408), consistent with its actual value of approximately 3.1416. [71]

  7. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

  8. Arithmetic coding - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_coding

    For example, the sequence "ABBCAB" could become 0.011201 3, in arithmetic coding as a value in the interval [0, 1). The next step is to encode this ternary number using a fixed-point binary number of sufficient precision to recover it, such as 0.0010110001 2 – this is only 10 bits; 2 bits are saved in comparison with naïve block encoding ...

  9. 2024 United States presidential election - Wikipedia

    en.wikipedia.org/wiki/2024_United_States...

    Presidential elections were held in the United States on November 5, 2024. [3] The Republican Party 's ticket — Donald Trump , who was the 45th president of the United States from 2017 to 2021, and JD Vance , the junior U.S. senator from Ohio —defeated the Democratic Party 's ticket— Kamala Harris , the incumbent vice president , and Tim ...