0.0. biseccion
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This document describes using the bisection numerical method in Excel VBA macros to calculate the root of a non-linear equation. It presents the steps to graph sample values of the equation, then iteratively calculate the root by bisection between intervals where the function changes signs, converging on the solution within a specified error tolerance.
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Invited keynote at the Artificial Intelligence Symposium on AI-powered Research Innovation, taking place at ENSEM (L'?cole Nationale Sup└rieure d'?lectricit└ et de M└canique), Casablanca on June 21, 2025. I¨ll be giving a keynote titled: "Generative AI & Scientific Research: Catalyst for Innovation, Ethics & Impact". Looking forward to engaging with researchers and doctoral students on how Generative AI is reshaping the future of science, from discovery to governance ！ with both opportunities and responsibilities in focus.
#AI hashtag#GenerativeAI #ScientificResearch #Innovation #Ethics #Keynote #AIinScience #GAI #ResearchInnovation #Casablanca
1. Thinking, Creative Thinking, Innovation
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This is the slides for FSE 2025 JF TrackData Structures Module 3 Binary Trees Binary Search Trees Tree Traversals AVL...
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Master the language of change with the Complete Guidance Book of Calculus！your comprehensive resource for understanding the core concepts and applications of differential and integral calculus. Designed for high school, college, and self-study learners, this book takes a clear, intuitive approach to a subject often considered challenging.International Journal of Advanced Information Technology (IJAIT)
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Multi-proposer consensus protocols let multiple validators propose blocks in parallel, breaking the single-leader throughput bottleneck of classic designs. Yet the modern multi-proposer consensus implementation has grown a lot since HotStuff. THisworkshop will explore the implementation details of recent advances C DAG-based approaches like Narwhal and Sui¨s Mysticeti C and reveal how implementation details translate to real-world performance gains. We focus on the nitty-gritty: how network communication patterns and data handling affect throughput and latency. New techniques such as Turbine-like block propagation (inspired by Solana¨s erasure-coded broadcast) and lazy push gossip broadcasting dramatically cut communication overhead. These optimizations aren¨t just theoretical C they enable modern blockchains to process over 100,000 transactions per second with finality in mere milliseconds? redefining what is possible in decentralized systems.
Validating a Citizen Observatories enabling Platform by completing a Citizen ...
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0.0. biseccion
- 1. C│lculo de la ra┴z de una ecuaci┏n no lineal mediante el M└todo Num└rico de la Bisecci┏n Utilizando macros de VBA de Excel Ing. N└stor Augusto Oyarce Linares naoyarcel@gmail.com
- 2. aBiseccionGrafica - 1 Option Explicit Sub XY_10_Dic_2020_3() Dim X As Double, Y As Double, i As Integer, X1 As Double, X0 As Double, XX As Double Dim Err As Double, YD As Double, j As Integer, gx0 As Double, gx As Double 'M└todo Num└rico de BISECCI┏N '10 de Diciembre de 2020, ejercicio 3 Cells.Clear Cells(1, 1).Value = " ECUACION : " Cells(3, 1).Value = " X^3+2*X^2+10*X-20" Cells(1, 2).Value = " ENSAYOS : " Cells(3, 2).Value = " X " Cells(3, 3).Value = " Y " For i = 1 To 10 X = 1 + i / 10 Y = (X) ^ (3) + 2 * (X) ^ (2) + 10 * X - 20 Cells(i + 3, 2).Value = X Cells(i + 3, 3).Value = Y If Y > 0 Then Exit For Next i End Sub Sub Crea_grafico() Dim grafico As ChartObject Dim wks As Worksheet Set wks = ActiveWorkbook.Sheets("Hoja1") Set grafico = wks.ChartObjects.Add(Left:=400, Width:=450, Top:=50, Height:=200) grafico.Name = "Grafico_1" grafico.Chart.ChartType = xlXYScatterSmoothNoMarkers grafico.Chart.SetSourceData Source:=wks.Range("B4:D15") End Sub ' Ing. N└stor Augusto Oyarce Linares
- 3. ECUACION : ENSAYOS : X^3+2*X^2+10*X-20 X Y 1.1 -5.249 1.2 -3.392 1.3 -1.423 1.4 0.664 -6 -5 -4 -3 -2 -1 0 1 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Series1 Series2
- 4. bBiseccionCalculo - 1 Option Explicit Sub Parte2_Biseccion() Dim Xa As Double, Ya As Double, i As Integer, Xb As Double, Xm As Double, Yb As Double Dim Error As Double, Ym As Double, j As Integer, X As Double, Y As Double Cells.Clear Cells(1, 1).Value = "M└todo Num└rico de la Biseccion" Cells(2, 2).Value = "Valor de X" Cells(2, 3).Value = "Valor de Y" Cells(2, 5).Value = " Xf " Cells(2, 6).Value = " Yf " Cells(2, 7).Value = "Iteraciones" Xa = 1.3 Xb = 1.4 For j = 1 To 20 Xm = (Xa + Xb) / 2 Ya = (Xa) ^ (3) + 2 * (Xa) ^ (2) + 10 * Xa - 20 Yb = (Xb) ^ (3) + 2 * (Xb) ^ (2) + 10 * Xb - 20 Ym = (Xm) ^ (3) + 2 * (Xm) ^ (2) + 10 * Xm - 20 If Ya * Ym < 0 Then Xb = Xm Else Xa = Xm Error = Abs(Xa - Xb) Cells(j + 3, 2).Value = Xm Cells(j + 3, 3).Value = Ym If Error <= 0.000001 Then Exit For Next j X = Xm Y = X ^ (3) + 2 * X ^ (2) + 10 * X - 20 Cells(4, 5).Value = X Cells(4, 6).Value = Y Cells(4, 7).Value = j Range("E1", "E4").Font.Bold = True Range("E1", "E4").Font.Color = RGB(8, 44, 196) Cells.EntireColumn.AutoFit End Sub ' Ing. N└stor Augusto Oyarce Linares
- 5. M└todo Num└rico de la Biseccion Valor de X Valor de Y Xf Yf Iteraciones 1.35 -0.394625 1.368808746 1.34702E-05 17 1.375 0.130859375 1.3625 -0.132833984 1.36875 -0.00122583 1.371875 0.06475705 1.3703125 0.03175069 1.36953125 0.015258702 1.369140625 0.007015504 1.368945313 0.002894604 1.368847656 0.000834329 1.368798828 -0.000195765 1.368823242 0.000319278 1.368811035 6.17555E-05 1.368804932 -6.70051E-05 1.368807983 -2.62484E-06 1.368809509 2.95653E-05 1.368808746 1.34702E-05