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# Assignment 1 The goal of this assignment is to supply you with machine learning models and algorithms. In this notebook, we will cover linear and nonlinear models, the concept of loss functions and some optimization techniques. All mathematical operations should be implemented in **NumPy** only. ## Table of conte...
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week_2/ML.ipynb
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# Propriedade da multiplicação e janelas Imagine que você tenha um fenômeno (ou sinal) com duração infinita, $x(t)$, que deseja observar (medir). Quando medimos $x(t)$ por um tempo finito estamos observando o fenômeno por uma janela temporal $w(t)$ finita. Na prática, o sinal observado é: \begin{equation} x_o(t) = x...
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Aula 27 - propriedade da multiplicacao e janelas/Jamelas.ipynb
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Aula 27 - propriedade da multiplicacao e janelas/Jamelas.ipynb
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Aula 27 - propriedade da multiplicacao e janelas/Jamelas.ipynb
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# Scenario A - Noise Level Variation (results evaluation) This file is used to evaluate the inference (numerical) results. The model used in the inference of the parameters is formulated as follows: \begin{equation} \large y = f(x) = \sum\limits_{m=1}^M \big[A_m \cdot e^{-\frac{(x-\mu_m)^2}{2\cdot\sigma_m^2}}\big] ...
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code/scenarios/scenario_a/scenario_noise_evaluation.ipynb
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<p align="center"> </p> # Data Science Basics in Python Series ## Chapter VI: Basic Statistical Analysis in Python ### Michael Pyrcz, Associate Professor, The University of Texas at Austin *Novel Data Analytics, Geostatistics and Machine Learning Subsurface Solutions* #### Basic Univariate Statistics Her...
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# Teoría del Error <p><code>Python en Jupyter Notebook</code></p> <p>Creado por <code>Giancarlo Ortiz</code> para el curso de <code>Métodos Numéricos</code></p> <style type="text/css"> .formula { background: #f7f7f7; border-radius: 50px; padding: 15px; } .border { display: in...
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Jupyter/13_Error.ipynb
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2020-10-29T19:13:39.000Z
Jupyter/13_Error.ipynb
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# Introduction to Quantum Physics ### A complex Number $c = a + ib$ Acircle of radius 1: $e^{-i\theta}$ ### Single Qubit System ($\mathcal{C}^{2}$ -space) $|\psi \rangle = \alpha |0 \rangle + \beta | 1 \rangle $ $ \langle \psi | \psi \rangle = 1 \implies \alpha^{2} + \beta^{2} = 1 $ - Operators are 2 by 2 matri...
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day1/3. Quantum-Physics-of-Quantum-Computing.ipynb
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# Math behind LinearExplainer with correlation feature perturbation When we use `LinearExplainer(model, prior, feature_perturbation="correlation_dependent")` we do not use $E[f(x) \mid do(X_S = x_S)]$ to measure the impact of a set $S$ of features, but rather use $E[f(x) \mid X_S = x_s]$ under the assumption that the ...
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notebooks/linear_explainer/Math behind LinearExplainer with correlation feature perturbation.ipynb
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notebooks/linear_explainer/Math behind LinearExplainer with correlation feature perturbation.ipynb
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```python !pip install pandas import sympy as sym import numpy as np import pandas as pd %matplotlib inline import matplotlib.pyplot as plt sym.init_printing() ``` Requirement already satisfied: pandas in c:\users\usuario\.conda\envs\sys\lib\site-packages (1.1.2) Requirement already satisfied: pytz>=2017.2 in...
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# Lecture 22: Transformations, Log-Normal, Convolutions, Proving Existence ## Stat 110, Prof. Joe Blitzstein, Harvard University ---- ## Variance of Hypergeometric, con't Returning to where we left off in Lecture 21, recall that we are considering $X \sim \operatorname{HGeom}(w, b, n)$ where $p = \frac{w}{w+b}$ an...
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Lecture_22.ipynb
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Lecture_22.ipynb
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```python import numpy as np import sympy as sp import pandas as pd import math import midterm as p1 import matplotlib.pyplot as plt # Needed only in Jupyter to render properly in-notebook %matplotlib inline ``` # Midterm ## Chinmai Raman ### 3/22/2016 $x_{n+1} = rx_n(1-x_n)$ for $x_0$ in $[0,1]$ and $r$ in $[2....
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<table> <tr align=left><td> <td>Text provided under a Creative Commons Attribution license, CC-BY. All code is made available under the FSF-approved MIT license. (c) Kyle T. Mandli</td> </table> Note: This material largely follows the text "Numerical Linear Algebra" by Trefethen and Bau (SIAM, 1997) and is meant as...
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10_LA_intro.ipynb
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### Instructions When running the notebook the first time, make sure to run all cells before making changes in the notebook. Hit Shift + Enter to run the selected cell or, in the top menu, click on: `Kernel` > `Restart Kernel and Run All Cells...` to rerun the whole notebook. If you make any changes in a cell, rerun t...
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binder/03_Measured_Data_Plotting.ipynb
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# Tarea Nro. 3 - LinAlg + Sympy - Nombre y apellido: Ivo Andrés Astudillo - Fecha: 26 de Noviembre de 2020 ### Producto punto ```python #from IPython.display import Image #Image(filename='img/Tabla9.4.png') ``` 5. La capacidad calorífica C<sub>p</sub> de un gas se puede modelar con la ecuación empí...
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Tareas/PrimerBimestre/TareaNro3 LinalgSympy/prueba.ipynb
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## подготовка: ```python import numpy as np from numpy.linalg import * rg = matrix_rank from IPython.display import display, Math, Latex, Markdown from sympy import * pr = lambda s: display(Markdown('$'+str(latex(s))+'$')) def pmatrix(a, intro='',ending='',row=False): if len(a.shape) > 2: raise ValueE...
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# Multiple Regression Analysis: OLS Asymptotics So other than the finite sample properties in the previous chapters, we also need to know the ***asymptotic properties*** or ***large sample properties*** of estimators and test statistics. And fortunately, under the assumptions we have made, OLS has satisfactory large ...
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FinMath/Econometrics/Chap_05.ipynb
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# Calculus Contains an overview of calculus. ## Common derivatives The following derivatives must simply be memorised: $$ \begin{align} {\Large \text{Very common}}\\ \\\ \frac{d}{dx} [x^n] =\ & n \cdot x^{n-1}\\ \\\ \frac{d}{dx} [e^x] =\ & e^x\\ \\\ \frac{d}{dx} [sin\ x] =\ & cos\ x\\ \\\ \frac{d}{dx} [cos\ x] =\ &...
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docs/mathematics/calculus.ipynb
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docs/mathematics/calculus.ipynb
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docs/mathematics/calculus.ipynb
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Lea cuidadosamente las siguientes **indicaciones** antes de comenzar el examen de prueba: - Para resolver el examen edite este mismo archivo y renómbrelo de la siguiente manera: *Examen1_ApellidoNombre*, donde *ApellidoNombre* corresponde a su apellido paterno con la inicial en mayúscula, seguido de su primer nombre co...
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Modulo1/ProblemasAdicionales.ipynb
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Modulo1/ProblemasAdicionales.ipynb
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Modulo1/ProblemasAdicionales.ipynb
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# Tutorial We will solve the following problem using a computer to assist with the technical aspects: ```{admonition} Problem The matrix $A$ is given by $A=\begin{pmatrix}a & 1 & 1\\ 1 & a & 1\\ 1 & 1 & 2\end{pmatrix}$. 1. Find the determinant of $A$ 2. Hence find the values of $a$ for which $A$ is singular. 3. For...
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book/tools-for-mathematics/04-matrices/tutorial/.main.md.bcp.ipynb
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book/tools-for-mathematics/04-matrices/tutorial/.main.md.bcp.ipynb
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book/tools-for-mathematics/04-matrices/tutorial/.main.md.bcp.ipynb
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# Steinberg, Dave. Vibration Analysis for Electronic Equipment, 2nd ed., 1988 Steve Embleton | 20161116 | Notes ```python %matplotlib inline ``` ## Chapter 1, Introduction Modes and vibrations basics. Designs for one input may fail when used in other areas with different forcing frequencies closer to the devices ...
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public/ipy/Steinberg_1988/Steinberg_1988.ipynb
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(sec:LDs)= # The Method of Lagrangian Descriptors ## Introduction One of the biggest challenges of dynamical systems theory or nonlinear dynamics is the development of mathematical techniques that provide us with the capability of exploring transport in phase space. Since the early 1900, the idea of pursuing a quali...
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book/content/.ipynb_checkpoints/chapter3-checkpoint.ipynb
champsproject/lagrangian_descriptors
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# Naive Bayes Classifier Naive Bayes classifier assumes that the effect of a particular feature in a class is independent of other features. $ \begin{align} \ P(h|D) = \frac{P(D|h) P(h)}{P(D)} \end{align} $ - P(h): the probability of hypothesis h being true (regardless of the data). This is known as the prior proba...
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classification/notebooks/08 - Naive Bayes.ipynb
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classification/notebooks/08 - Naive Bayes.ipynb
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+ This notebook is part of lecture 10 *The four fundamental subspaces* in the OCW MIT course 18.06 by Prof Gilbert Strang [1] + Created by me, Dr Juan H Klopper + Head of Acute Care Surgery + Groote Schuur Hospital + University Cape Town + <a href="mailto:juan.klopper@uct.ac.za">Email me with your thoug...
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_math/MIT_OCW_18_06_Linear_algebra/I_11_Subspaces.ipynb
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### Imports ```python #imports from __future__ import print_function from ortools.constraint_solver import routing_enums_pb2 from ortools.constraint_solver import pywrapcp import sys import os import pandas as pd import time import math import random ``` ### Initialisation Functions ```python def calculate_minimu...
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Inventory Routing Problem/IVR_Final-Ammends.ipynb
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Inventory Routing Problem/IVR_Final-Ammends.ipynb
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```python # deep learning related tools import sympy import numpy as np import tensorflow as tf # quantum ML tools import tensorflow_quantum as tfq import cirq import collections # visualization tools (inline matploit only notebook needed) %matplotlib inline import matplotlib.pyplot as plt from cirq.cont...
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q_mnist.ipynb
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# Numerical Methods in Scientific Computing # Assignment 4 # Q1. To compute $\int_0^1e^{x^2}dx$ using Trapezoidal rule and modified Trapezoidal rule. - Trapezoidal Rule is given by, \begin{equation} \int_{x_0}^{x_N}f(x)dx = \frac{h}{2}\sum_{i=0}^{N-1} [f(x_i)+f(x_{i+1})] + O(h^2) \end{equation} - Trapezoidal Ru...
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me16b077_4.ipynb
ENaveen98/Numerical-methods-and-Scientific-computing
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me16b077_4.ipynb
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me16b077_4.ipynb
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```python from sympy import * from sympy.abc import * import numpy as np import matplotlib.pyplot as plt init_printing() import warnings warnings.filterwarnings('ignore') warnings.simplefilter('ignore') ``` ```python x = Function('x') dxdt = Derivative(x(t), t) dxxdtt = Derivative(x(t), t, t) edo = Eq(dxxdtt - (k...
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Mec_Flu_I/Exercicios_recomendados_FoxMcDonalds.ipynb
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Mec_Flu_I/Exercicios_recomendados_FoxMcDonalds.ipynb
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Mec_Flu_I/Exercicios_recomendados_FoxMcDonalds.ipynb
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# 低次元化 ```python import sympy as sy from sympy.printing.numpy import NumPyPrinter from sympy import julia_code from sympy.utilities.codegen import codegen import tqdm import os from pathlib import Path from kinematics import Local ``` ```python # アクチュエータベクトル l1, l2, l3 = sy.symbols("l1, l2, l3") q = sy.Matrix([[l...
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o/soft_robot/derivation_of_dynamics/reduction.ipynb
YoshimitsuMatsutaIe/ctrlab2021_soudan
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o/soft_robot/derivation_of_dynamics/reduction.ipynb
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Solution to: [Day 3: Drawing Marbles](https://www.hackerrank.com/challenges/s10-mcq-6/problem) <h1 id="tocheading">Table of Contents</h1> <div id="toc"></div> - Table of Contents - Math Solution - Facts - Monte Carlo Solution - Imports - Constants - Auxiliary functions - Main ```javascript %%ja...
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statistics/10_days/11_day3drawingmarbles.ipynb
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statistics/10_days/11_day3drawingmarbles.ipynb
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statistics/10_days/11_day3drawingmarbles.ipynb
jaimiles23/hacker_rank
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# Logistic map explorations (Taylor and beyond) Adapted by Dick Furnstahl from the Ipython Cookbook by Cyrille Rossant. Lyapunov plot modified on 29-Jan-2019 after discussion with Michael Heinz. Here we consider the *logistic map*, which illustrates how chaos can arise from a simple nonlinear equation. The logistic ...
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2020_week_3/Logistic_map_explorations.ipynb
CLima86/Physics_5300_CDL
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2020_week_3/Logistic_map_explorations.ipynb
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2020_week_3/Logistic_map_explorations.ipynb
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# Monte Carlo Calculation of π ### Christina C. Lee ### Category: Numerics ### Monte Carlo Physics Series * [Monte Carlo: Calculation of Pi](../Numerics_Prog/Monte-Carlo-Pi.ipynb) * [Monte Carlo Markov Chain](../Numerics_Prog/Monte-Carlo-Markov-Chain.ipynb) * [Monte Carlo Ferromagnet](../Prerequisites/Monte-Carlo-Fe...
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Numerics_Prog/Monte-Carlo-Pi.ipynb
albi3ro/M4
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Numerics_Prog/Monte-Carlo-Pi.ipynb
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We have a square matrix $R$. We consider the error for $T = R'R$ where $R'$ is the transpose of $R$. The elements of $R$ are $r_{i,j}$, where $i = 1 \dots N, j = 1 \dots N$. $r_{i, *}$ is row $i$ of $R$. Now let $R$ be a rotation matrix. $T$ at infinite precision will be the identity matrix $I$ Assume the maximum...
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doc/source/notebooks/ata_error.ipynb
tobon/nibabel
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tobon/nibabel
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```python import sympy as sp sp.init_printing() ``` Analyitc solution for CSTR of 2 A -> B ```python symbs = t, f, fcA, fcB, IA, IB, k, c1, c2 = sp.symbols('t f phi_A phi_B I_A I_B k c1 c2', real=True, positive=True) symbs ``` ```python def analytic(t, f, fcA, fcB, IA, IB, k, c1, c2): u = sp.sqrt(f*(f + 4*fcA*...
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Jupyter Notebook
chempy/kinetics/tests/_derive_analytic_cstr_bireac.ipynb
Narsil/chempy
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chempy/kinetics/tests/_derive_analytic_cstr_bireac.ipynb
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chempy/kinetics/tests/_derive_analytic_cstr_bireac.ipynb
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# Solar Panel Power This notebook calculates the various parameters of the shadow cast by dipole antennae on a panel under them using a simple Monte Carlo algorithm. The light source is assumed to be point-like and at infinity. The setup is as follows: We assume the antennae to be cylinders of radius $r_0=3cm$, at ...
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solar_power/shadows.ipynb
lusee-night/notebooks
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solar_power/shadows.ipynb
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solar_power/shadows.ipynb
lusee-night/notebooks
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# Chasing the power of optimal length increase (c) 2021 Tom Röschinger. This work is licensed under a [Creative Commons Attribution License CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/). All code contained herein is licensed under an [MIT license](https://opensource.org/licenses/MIT). *** ```julia using ...
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tomroesch/complexity_evolution
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notebooks/old_notebooks/3_l_opt_scaling.ipynb
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notebooks/old_notebooks/3_l_opt_scaling.ipynb
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# 1-D Convection-Diffusion equation In this tutorial, we consider the **1D** convection-diffusion equation $$ \frac{\partial u}{\partial t} + c \partial_x u - \nu \frac{\partial^2 u}{\partial x^2} = 0 $$ ```python # needed imports from numpy import zeros, ones, linspace, zeros_like from matplotlib.pyplot import plo...
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lessons/Chapter2/03_convection_diffusion_1d.ipynb
ratnania/IGA-Python
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lessons/Chapter2/03_convection_diffusion_1d.ipynb
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lessons/Chapter2/03_convection_diffusion_1d.ipynb
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```python from resources.workspace import * from IPython.display import display from scipy.integrate import odeint import copy %matplotlib inline ``` # Lyapunov exponents and eigenvalues A **Lypunov exponent** can be understood loosely as a kind of generalized eigenvalue for time-depenent linear transformations, or ...
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tutorials/DA and the Dynamics of Ensemble Based Forecasting/T3 - Lyapunov exponents and eigenvalues.ipynb
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# Introduction to sympy A Python library for symbolic computations <h1>Table of Contents<span class="tocSkip"></span></h1> <div class="toc"><ul class="toc-item"><li><span><a href="#Python-set-up" data-toc-modified-id="Python-set-up-1"><span class="toc-item-num">1&nbsp;&nbsp;</span>Python set-up</a></span></li><li><sp...
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# Lecture 4 - SciPy What we have seen so far - How to setup a python environment and jupyter notebooks - Basic python language features - Introduction to NumPy - Plotting using matplotlib Scipy is a collection of packages that provide useful mathematical functions commonly used for scientific computing. List of sub...
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nb/2019_winter/Lecture_4.ipynb
samuelcheang0419/cme193
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<a href="https://colab.research.google.com/github/martin-fabbri/colab-notebooks/blob/master/deeplearning.ai/nlp/c2_w4_model_architecture_relu_sigmoid.ipynb" target="_parent"></a> # Word Embeddings: Intro to CBOW model, activation functions and working with Numpy In this lecture notebook you will be given an introduct...
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deeplearning.ai/nlp/c2_w4_model_architecture_relu_sigmoid.ipynb
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deeplearning.ai/nlp/c2_w4_model_architecture_relu_sigmoid.ipynb
martin-fabbri/colab-notebooks
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# Tutorial rápido de Python para Matemáticos &copy; Ricardo Miranda Martins, 2022 - http://www.ime.unicamp.br/~rmiranda/ ## Índice 1. [Introdução](1-intro.html) 2. [Python é uma boa calculadora!](2-calculadora.html) [(código fonte)](2-calculadora.ipynb) 3. [Resolvendo equações](3-resolvendo-eqs.html) [(código font...
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# An Introduction to Bayesian Statistical Analysis Before we jump in to model-building and using MCMC to do wonderful things, it is useful to understand a few of the theoretical underpinnings of the Bayesian statistical paradigm. A little theory (and I do mean a *little*) goes a long way towards being able to apply th...
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notebooks/Section1_1-Basic_Bayes.ipynb
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<b>Construir o gráfico e encontrar o foco e uma equação da diretriz.</b> <b>3. $y^2 = -8x$</b> $2p = -8$,<b>logo</b><br><br> $p = -4$<br><br><br> <b>Calculando o foco</b><br><br> $F = \frac{p}{2}$<br><br> $F = \frac{-4}{2}$<br><br> $F = -2$<br><br> $F(-2,0)$<br><br><br> <b>Calculando a diretriz</b><br><br> $d = -\fra...
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Problemas Propostos. Pag. 172 - 175/03.ipynb
mateuschaves/GEOMETRIA-ANALITICA
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## Markov Networks author: Jacob Schreiber <br> contact: jmschreiber91@gmail.com Markov networks are probabilistic models that are usually represented as an undirected graph, where the nodes represent variables and the edges represent associations. Markov networks are similar to Bayesian networks with the primary dif...
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```python import holoviews as hv hv.extension('bokeh') hv.opts.defaults(hv.opts.Curve(width=500), hv.opts.Scatter(width=500, size=4), hv.opts.Histogram(width=500), hv.opts.Slope(color='k', alpha=0.5, line_dash='dashed'), hv.opts.HLine(color='k', alpha=...
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lectures/5_linear_regression/part2.ipynb
magister-informatica-uach/INFO337
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lectures/5_linear_regression/part2.ipynb
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# LASSO and Ridge Regression This function shows how to use TensorFlow to solve lasso or ridge regression for $\boldsymbol{y} = \boldsymbol{Ax} + \boldsymbol{b}$ We will use the iris data, specifically: $\boldsymbol{y}$ = Sepal Length, $\boldsymbol{x}$ = Petal Width ```python # import required libraries import matp...
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03_Linear_Regression/06_Implementing_Lasso_and_Ridge_Regression/06_lasso_and_ridge_regression.ipynb
haru-256/tensorflow_cookbook
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03_Linear_Regression/06_Implementing_Lasso_and_Ridge_Regression/06_lasso_and_ridge_regression.ipynb
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<div style='background-image: url("../../share/images/header.svg") ; padding: 0px ; background-size: cover ; border-radius: 5px ; height: 250px'> <div style="float: right ; margin: 50px ; padding: 20px ; background: rgba(255 , 255 , 255 , 0.7) ; width: 50% ; height: 150px"> <div style="position: relative ; ...
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## Linear Algebra Linear algebra refers to the study of linear relationships. In this class, we will cover some basic concepts of linear algebra that are needed to understand some more advanced and *practical* concepts and definitions. If you are interested in the concepts related to linear algebra and application, th...
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Linear_Algebra.ipynb
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Problem: Heavy hitter Reference: - Privacy at Scale: Local Differential Privacy in Practice ```python %load_ext autoreload %autoreload 2 ``` ```python %matplotlib inline import matplotlib.pyplot as plt ``` Implementation of Random Response Protocol $\pi$ (for user with value $v$) as \begin{equation} \forall_{y\...
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<!-- dom:TITLE: Week 42 Solving differential equations and Convolutional (CNN) --> # Week 42 Solving differential equations and Convolutional (CNN) <!-- dom:AUTHOR: Morten Hjorth-Jensen at Department of Physics, University of Oslo & Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, ...
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```python import numpy as np import matplotlib.pyplot as plt import math from mpl_toolkits.mplot3d import Axes3D from scipy.ndimage.morphology import distance_transform_edt ``` #### Gradient Ascent \begin{align} \mathbf{r}_{i+1}&=\mathbf{r}_i+\eta\Delta \mathbf{r} \\ \Delta\mathbf{r} &\sim -\frac{\nabla \mathbf{f}}{...
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# Free-Body Diagram for particles > Renato Naville Watanabe > [Laboratory of Biomechanics and Motor Control](http://pesquisa.ufabc.edu.br/bmclab) > Federal University of ABC, Brazil <h1>Contents<span class="tocSkip"></span></h1><br> <div class="toc"><ul class="toc-item"><li><span><a href="#Python-setup" data-toc-...
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<table border="0"> <tr> <td> </td> <td> </td> </tr> </table> # Orthogonal Random Forest: Use Cases and Examples Orthogonal Random Forest (ORF) combines orthogonalization, a technique that effectively removes the confounding effect in two-stage estimati...
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# Extracting Information from Audio Signals ## Measuring amplitude (Session 1.9) - Kadenze ### George Tzanetakis, University of Victoria In this notebook we will explore different ways of measuring the amplitude of a sinusoidal signal. The use of the inner product to estimate the amplitude of a sinusoids in the ...
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[](https://pythonista.io) # Introducción a ```sympy```. El proyecto [sympy](https://www.sympy.org/en/index.html) comprende una biblioteca de herramientas que permiten realziar operaciones de matemáticas simbólicas. En este sentido, es posible utilizar algunos de sus componentes para realizar operaciones que en lugar...
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15_introduccion_a_sympy.ipynb
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```python from __future__ import division, print_function %matplotlib inline ``` ```python import sympy from sympy import Matrix, eye, symbols, sin, cos, zeros from sympy.physics.mechanics import * from IPython.display import display sympy.init_printing(use_latex='mathjax') ``` # Quaternion Math Functions ```pyth...
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modelDeriv/quadcopterMath.ipynb
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Introduction ------------------- Brzezniak (2000) is a great book because it approaches conditional expectation through a sequence of exercises, which is what we are trying to do here. The main difference is that Brzezniak takes a more abstract measure-theoretic approach to the same problems. Note that you *do* need t...
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Conditional_expectation_MSE_Ex.ipynb
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L2 error squared estimation ---------------------------- ### Bilinear quad ```python from sympy import * from sympy.integrals.intpoly import polytope_integrate from sympy.abc import x, y ``` ```python points = [ Point2D(-1, -1), Point2D(2, -2), Point2D(4, 1), Point2D(-2, 3)] def phi_alpha_beta(alpha, beta, x, y)...
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# CS 224n Assignment #2: word2vec ## Understanding word2vec Let’s have a quick refresher on the word2vec algorithm. The key insight behind word2vec is that ‘a word is known by the company it keeps’. Concretely, suppose we have a ‘center’ word c and a contextual window surrounding c. We shall refer to words that lie in...
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a2.ipynb
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# A Gentle Introduction to HARK: Buffer Stock Saving This notebook explores the behavior of a consumer identical to the perfect foresight consumer described in [Gentle-Intro-To-HARK-PerfForesightCRRA](https://econ-ark.org/materials/Gentle-Intro-To-HARK-PerfForesightCRRA) except that now the model incorporates income ...
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notebooks/Gentle-Intro-To-HARK-Buffer-Stock-Model.ipynb
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