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using ColorBitstring, SetRounding Copyright By PowCoder代写 加微信 powcoder We can set rounding printlnbits(Float16(1/3, RoundDown)) printlnbits(Float16(1/3, RoundNearest)) printbits(Float16(1/3, RoundUp)) 0011010101010101 0011010101010101 0011010101010110 x = Float16(1) y = Float16(2^(-12)) Float16(1.0) nonassociativity: Float16(1.0) x + (y + y) Float16(1.0) Float16(1 + 2^(-11)) 1.00048828125 printbits(x + 4y) 0011110000000001 (x + 4y) – 4y Float16(1.0) 0.00048828125 程序代写 CS代考 加微信: powcoder

Indefinite Integration Copyright By PowCoder代写 加微信 powcoder using LinearAlgebra, Plots, Interact u(x) = \int_0^x \cos t dt = \sin x x = range(0, 1; length=n) h = step(x) # x[k+1]-x[k] = 1/(n-1) d = [1; fill(1/h, n-1)] l = fill(-1/h, n-1) L = Bidiagonal(d, l, :L) 10×10 Bidiagonal{Float64, Vector{Float64}}: 1.0 ⋅ ⋅ ⋅ ⋅ ⋅

MATH50003 Numerical Analysis: Problem Sheet 5¶ This problem sheet explores positive definite matrices, Cholesky decompositions, matrix norms, and the singular value decomposition. Copyright By PowCoder代写 加微信 powcoder Questions marked with a ⋆ are meant to be completed without using a computer. Problems are denoted A/B/C to indicate their difficulty. using LinearAlgebra, Plots, Test 1. Positive

using LinearAlgebra, ColorBitstring, Plots Copyright By PowCoder代写 加微信 powcoder 1. IntervalArithmetic.jl¶ using IntervalArithmetic x = Interval(1)/5 println(y.lo) println(y.hi) 1.2000000000000002 x = exp(Interval(1)) println(x.lo) print(x.hi) 2.718281828459045 2.7182818284590455 # compute e to 1000 digits typeof(Interval(1.0)) Interval{Float64} typeof(Interval(big(1.0))) Interval{BigFloat} setprecision(3_000) do # number of signficand bits x = exp(Interval(big(1.0))) println(x.lo) print(x.hi) 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274274663919320030599218174135966290435729003342952605956307381323286279434907632338298807531952510190115738341879307021540891499348841675092447614606680822648001684774118537423454424371075390777449920695517027618386062613313845830007520449338265602976067371132007093287091274437470472306969772093101416928368190255151086574637721112523897844250569536967707854499699679468644549059879316368892300987931277361782154249992295763514822082698951936680331825288693984964651058209392398294887933203625094431173012381970684161403970198376793206832823764648042953118023287825098194558153017567173613320698112509961818815930416903515988885193458072738667385894228792284998920868058257492796104841984443634632449684875602336248270419786232090021609902353043699418491463140934317381436405462531520961836908887070167652 2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274274663919320030599218174135966290435729003342952605956307381323286279434907632338298807531952510190115738341879307021540891499348841675092447614606680822648001684774118537423454424371075390777449920695517027618386062613313845830007520449338265602976067371132007093287091274437470472306969772093101416928368190255151086574637721112523897844250569536967707854499699679468644549059879316368892300987931277361782154249992295763514822082698951936680331825288693984964651058209392398294887933203625094431173012381970684161403970198376793206832823764648042953118023287825098194558153017567173613320698112509961818815930416903515988885193458072738667385894228792284998920868058257492796104841984443634632449684875602336248270419786232090021609902353043699418491463140934317381436405462531520961836908887070167685 setprecision(3_000) do # number of

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