Search results for "What really IS a real number" - Rhea

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• HW1.5 Brian Thomas - Energy and Power of a Complex Signal over Infinite Time ECE301Fall2008mboutin
  ...he start symbol to denote multiplication in this context. The start symbol is typically used for denoting convolution in electrical engineering. </span> ...is because you are integrating the norm of something, and a norm is always real and non-negative. Why do you these "j" coming out of your integrals? </span
  4 KB (734 words) - 15:54, 25 February 2015
• Vishal Ramani vramani
  ..."t", which is sometimes positive and sometimes negative. So there must be a mistake somewhere. </span> ...> The key is to take the '''norm''' of the signal squared. Here the signal is <math>\sqrt{t}</math>, so taking the norm of the signal squared gives <math
  6 KB (975 words) - 15:35, 25 February 2015
• More on complex numbers
  *[[ComplexNumberFormulas|Table of Complex Number Formulas]] It is important to complex numbers in many courses, including
  7 KB (963 words) - 07:36, 4 May 2015
• Slecture differential geometry Boutin Black Wu curves in plane parameterization
  ...tion of a robot, or the contour of an object in an image. We can represent a curve, C, in the following way: .../math>. This is called a `parametric representation' of the curve, where t is the parameter.
  10 KB (1,752 words) - 17:02, 14 May 2015
• ECE PhD QE CNSIP 2001 Problem1
  ...coin is repeatedly tossed until the same outcome (H or T) appears twice in a row. (a) What is the probability that this experiment terminates on or before the seventh co
  5 KB (780 words) - 01:25, 9 March 2015
• ECE PhD QE CNSIP 2002 Problem1
  Consider a random experiment in which a point is selected at random from the unit square (sample space <math class="inline"> ...here <math class="inline">a</math> and <math class="inline">b</math> are real numbers.
  5 KB (766 words) - 00:16, 10 March 2015
• ECE PhD QE CNSIP Jan 2002 Problem1
  ...s. It shows heads both times. What is the probability that the coin picked is fair? ...">\mathbf{Y}_{i}=\frac{\mathbf{X}\left(t\right)}{g\left(t\right)}</math> . Is <math class="inline">\mathbf{Y}_{t}</math> w.s.s. ?
  4 KB (643 words) - 11:16, 10 March 2015
• Origin of Laplace Transform
  ...uck delivers a clear illustration of what the Laplace transform really is: a continuous analogue of the discrete power series. <math>A(x) = \sum_{n=0}^{\infty} a(n)x^{n} \ \mid \ a(n) \in \R \ \ \ \forall \ n \in \N</math>
  3 KB (512 words) - 15:14, 1 May 2016
• From Bayes Theorem to Pattern Recognition via Bayes Rule
  A [http://www.projectrhea.org/learning/slectures.php slecture] by [http://var =What will you learn from this slecture?=
  14 KB (2,241 words) - 10:42, 22 January 2015
• Estimation Using Nearest Neighbor
  A [http://www.projectrhea.org/learning/slectures.php slecture] by student San [[Media:slecture_sangho3.pdf|pdf version is available.]]
  14 KB (2,313 words) - 10:55, 22 January 2015
• Generation of N-dimensional normally distributed random numbers from two categories with different priors
  A [http://www.projectrhea.org/learning/slectures.php slecture] by Jonghoon Ji This page is built based on MediaWiki + LaTeX math package parser. Some of contents were
  18 KB (2,852 words) - 10:40, 22 January 2015
• MLEforGMM
  <font size="2">A [http://www.projectrhea.org/learning/slectures.php slecture] by Wen Yi </fo ...ecific set of parameters with the maximum value of likelihood, which means is the most likely to observe the data set samples.<br>
  13 KB (1,966 words) - 10:50, 22 January 2015
• Nyquist Michael Hayashi ECE438 slecture
  A [https://www.projectrhea.org/learning/slectures.php slecture] by [[ECE]] st .../math>if the continuous-time Fourier Transform (CTFT) of <math>x(t)</math> is zero for all magnitudes of frequency equal to or above half the sampling fr
  10 KB (1,650 words) - 19:04, 16 March 2015
• 2015 Spring ECE 201 Peleato
  *The main webpage for the course is in Blackboard. This webpage only contains supplemental materials (optional) **Email: bpeleato at purdue dot you know what
  8 KB (1,126 words) - 11:37, 8 May 2015
• Embedded Fixed Point FFT
  ...act that numbers cannot be stored that are greater than one and resolution is limited to powers of 2. This adds some issues to FFT calculation in the emb ...forming a square root is very computation intensitive, so the norm squared is often used if the actual magnitude isn't needed. In this application, the s
  9 KB (1,362 words) - 18:06, 23 February 2015
• ECE PhD QE CNSIP 2001 Problem1.4
  ...lass="inline">\mathbf{N}\left(t_{1},t_{2}\right)</math> is defined as the number of points in the interval <math class="inline">\left[t_{1},t_{2}\right)</ma (a) Find the (first order) characteristic function of <math class="inline">\ma
  4 KB (700 words) - 17:48, 13 March 2015
• ECE PhD QE CNSIP Jan 2002 Problem1.5
  ...ght)}{\alpha}</math> where <math class="inline">\phi\left(s\right)</math> is the moment generating function, <math class="inline">\phi\left(s\right)=E\l This is similar to the proof of [[ECE 600 Chebyshev Inequality|Chebyshev Inequality
  2 KB (284 words) - 17:39, 13 March 2015
• ECE PhD QE CNSIP 2002 Problem1.3
  ...="inline">\mathbf{Y}\left(t\right)</math> is less than or equal to a real number <math class="inline">\gamma</math> ? Express your answer in terms of “phi ...n random process, <math class="inline">\mathbf{Y}\left(t\right)</math> is a Gaussian process.
  3 KB (528 words) - 00:21, 10 March 2015
• ECE PhD QE CNSIP 2003 Problem1.1
  This question is a set of short-answer questions (no proofs): '''(a) (5%)'''
  2 KB (287 words) - 00:52, 10 March 2015
• Slecture complex numers phasors James Herman ECE201S15
  Complex Number and Phasor Notation A [http://www.projectrhea.org/learning/slectures.php slecture] by James Herma
  2 KB (270 words) - 17:41, 8 May 2015
• 2015 Summer Cryptography Paar Introduction to Cryptography Kathryn Marsh and Divya Agarwal
  1. '''Why is Modular Arithmetic Important for Crpytography''' ...f hours to work with, we only have 12 (or 24 in military time). So this is a finite system and we need modular arithmetic to deal with it. Let's look at
  6 KB (886 words) - 05:16, 24 June 2015
• Auto tune project ECE438F15
  ...ain, the note can be modified to match the target note. The wav file below is an example of this implementation used on an octave.<br /> ...agnitude than the first peak, it is very unlikely that the second harmonic is greater than the fourth harmonic, due to increased separation.</nowiki><br
  9 KB (1,777 words) - 23:23, 21 November 2015
• Walther MA279 Spring2016 topic1
  ...is the Euler circuit of the graph. In this case, the cost of the solution is the sum of all edge weights in the graph. ...lly, the solution is the Euler circuit of the modified graph, and the cost is the sum of all edge weights in the original graph plus the sum of the weigh
  9 KB (1,403 words) - 20:45, 24 April 2016
• Walther MA279 Spring2016 topic2
  Swarm intelligence involves a complex system of semi-autonomous individual units working collectively to ...ty (Decentralization): the population consists of many individuals without a centralized source of control.
  14 KB (2,177 words) - 11:28, 24 April 2016
• Project1 ECE662S16
  ...ssions will be accepted until 5pm Thursday February 18 in MSEE330. This is a hard deadline. NO EXCEPTION! Please try not to be late and hand in by the F Use data (either synthetic or real) to experiment with this classification method. When does it work well? Whe
  3 KB (434 words) - 17:19, 1 February 2016
• ECE-QE CE1-2015
  In the proof of the Master Theorem, a recursion tree is considered for the general recurrence form shown below, representing the co ...sion under the different case assumptions, each case of the Master Theorem is proven.)
  5 KB (766 words) - 22:18, 7 March 2016
• Walther MA279 Spring2016 topic11
  ...programming is a method of allocating resources in an optimal way; and it is one of the most widely used tools for decision making in manufacturing indu ...on'''. Restrictions on the availability of resources form what is known as a '''constraint set'''.
  15 KB (2,613 words) - 22:35, 24 April 2016
• Walther MA279 Spring2016 topic7
  ...er called ‘ARMAC’. His first shortest path problem was implemented for a simplified transportation map for 64 cities of the Netherlands. ...lus the distance from the current node to the neighbor node. If this value is less than the current tentative distance of the specified node, then we rep
  14 KB (2,351 words) - 23:21, 24 April 2016
• BFSK Modem
  ...elay and microcontroller so that it can be used for triggering things on a real flight. ...balloonists overlook this rule, but due to our close work with the FAA it is important that we follow the regulations.
  11 KB (1,666 words) - 02:18, 30 November 2016
• HW10ECE438F16sln
  ...t is infinitely thin. Assume that l=Tc where c is the speed of sound and T is the period at which you sample the airflow throughout the model. a) Obtain the transfer function of this model of the vocal tract. (You may us
  7 KB (1,236 words) - 17:19, 29 November 2016
• ECE-QE-CE-4-2015
  ...). Modern pipelines have many such loops each of which is relevant only to a subset of instructions. ...oop from the 8th stage to the 8th stage? Also, give a real example of such a loop.'''
  20 KB (3,337 words) - 15:32, 25 April 2017
• The Laurent Series in DSP
  ...the complex variable (represented by '''z''') as well. The Laurent Series is the link in DSP between the Discrete Fourier Transform ('''DFT''') and the ...ivalent of smoothness. A '''pole''' is a point on a function's domain that is undefined.
  6 KB (931 words) - 23:40, 23 April 2017
• Recognizing voice passwords using Fixed point FFT
  ...felt that an embedded application for voice password recognition would be a great addition to any security technology with the rise of IoT applications ...h simpler than the MFC algorithm and the essence of the Cepstrum algorithm is given by this formula:
  4 KB (728 words) - 22:10, 23 April 2017
• Introduction to Differential Equations
  <div style="text-align:center"> A slecture by Yijia Wen </div> ...hose concepts again and explain them in an easier and more concise way. It is not that academic, aiming for intuitive understanding. </font>
  6 KB (1,070 words) - 23:06, 21 November 2017
• Ordered fields
  ...and multiplication and having the property that every element in the field is either 0, in the subset, or has its additive inverse in the subset. ...rtant to note what an axiom is, just in case: An axiom is a statement that is held to be self-evidently true. This, these ordered fields are, by definiti
  5 KB (966 words) - 14:50, 15 October 2017
• Linear Algebra the Conceptual Way
  ...operations work as they do. This tutorial is intended to be receivable by a wide range of individuals including past linear algebra students wanting re ...ngineering students focused on physics they can be seen as a direction and a length. For linear algebra they can be approached from any and every angle
  9 KB (1,461 words) - 10:34, 17 November 2017
• Linear Systems of ODEs
  <div style="text-align:center"> A slecture by Yijia Wen </div> ...ar as systems of algebraic equations, several ODEs can also form a system. A typical system of <math>n</math>
  9 KB (1,504 words) - 23:12, 21 November 2017
• Advanced Methods to Solve 2nd-Order ODEs
  <div style="text-align:center"> A slecture by Yijia Wen </div> ...often used to find a second solution of an ODE, provided that one solution is given.
  7 KB (1,254 words) - 19:49, 22 November 2017
• Systems of ODEs
  <div style="text-align:center"> A slecture by Yijia Wen </div> ...milar as systems of normal equations, several ODEs can also form a system. A typical system of <math>n</math>
  8 KB (1,377 words) - 04:04, 19 November 2017
• ECE-QE CS1-2016
  ...coins, You asked "Did a coin land heads?" Your friends answers "yes." What is the probability that both coins landed heads? Justify your answer. A point <math>\omega</math> is picked at random in the triangle shown below (all points are equally likely
  3 KB (502 words) - 15:33, 19 February 2019
• Walther MA279 Fall2018 topic7
  ''“If music is invented to mimic a certain harmony in nature, the mountains are sounds; rivers are lyrics”'' ...nvironment. Patterns are a huge part of our daily sights; from branches on a tree, to clouds colliding to form familiar shapes, we seek to find structur
  15 KB (2,450 words) - 00:15, 3 December 2018
• Golden Ratio: Perception of Beauty
  ...to evolve into humanity as we know it today. One example of these patterns is the golden ratio. This ratio has showed up in many human-made objects, espe ...ically pleasing. It also forms a spiral from the quarter circle arcs which is known as the golden spiral. Even today, many architects use this same ratio
  4 KB (661 words) - 23:50, 2 December 2018
• Use of Fourier Transforms in MP3 Audio Compression
  MP3, or more precisely MPEG-1 Audio Layer 3,is part of an audio-visual standard called MPEG. The specification is available to everybody interested in implementing the standard.
  5 KB (752 words) - 17:40, 2 December 2018
• Failure of the models
  ...and how bad is the projection? In this section, we will be refereeing some real numerical data to support our claims. ...th model and classic logistic growth model compares with the actual growth number.
  3 KB (484 words) - 22:51, 2 December 2018
• Ece438f19bhelfrechtbonus
  ...). It should be noted that these terms are reciprocals of each other. That is, With this information, we can express the sampling of a CT signal <math>x(t)</math> in terms of its sampling period T:
  16 KB (2,611 words) - 14:11, 12 November 2019
• Walther MA271 Fall2020 topic20
  ...of this transform, including a way to mentally visualize what this formula is doing and its applications. ...The series is mainly concerned with periodic functions while the transform is concerned with nonperiodic functions.
  12 KB (2,051 words) - 14:20, 5 December 2020
• Walther MA271 Fall2020 topic28
  ...discussion behind the motivation and development of quaternions along with a discussion on the applications of quaternions. Extended readings and furthe ...lgebra. The quaternion product actually compromises of a dot, a scalar and a cross product. One will notice many similarities between how we calculate q
  13 KB (2,241 words) - 21:55, 5 December 2020
• Walther MA271 Fall2020 topic16
  ...able was added. Perhaps the easiest way to understand this concept is with a visual example. Imagine only one variable (or dimension), with five points ...second dimension is added, however. As seen below, when a second dimension is added, more data points are required to come to an answer with the same lev
  8 KB (1,200 words) - 14:07, 5 December 2020
• Walther MA271 Fall2020 topic24
  ...to use algebra than geometry to know more about a Togliatti surface, which is the shape below. ...l rather than a value. . Usually, when and R term is zero, the entire term is omitted.
  16 KB (2,725 words) - 00:24, 7 December 2020
• Quaternions: History
  ...ight bulb moment and a thrilling story that almost sounds like the plot of a movie. ...of complex numbers and the fact that you can use complex numbers to model a rotation in two dimensions using Euler’s Formula. Hamilton was also aware
  3 KB (486 words) - 14:09, 30 November 2020