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30 B (5 words) - 21:20, 4 September 2008
- [[Category:Real AnalysisMA440Fall2009Min Chen]] =Rhea Section for Real Analysis MA440 Professor Min Chen, Fall 2009=607 B (89 words) - 06:01, 11 September 2009
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- ====Thresholding (Discriminant Analysis) - Otsu's algorithm==== ** minimize false negatives (don't miss real edges)14 KB (2,253 words) - 12:21, 9 January 2009
- :[[2015_Spring_ECE_201_Peleato|ECE201: "Linear Circuit Analysis I", Prof. Peleato]] :[[2014_Spring_MA_530_Bell|MA530: "Complex Analysis", Prof. Bell]]13 KB (1,570 words) - 13:53, 7 August 2018
- ...onix will be presenting a tutorial and demonstration of real time spectral analysis in MSEE 239. It should be particularly interesting for students interested ...n advanced capture, process and display technology which enables RF signal analysis never before possible. Featured capabilities, discussed and demonstrated wi967 B (123 words) - 12:47, 5 February 2009
- ...ary numbers are of the form <math>a+bi</math>, where <math>a</math> is the real part, <math>b</math> is the imaginary part, and <math>i</math> is a number Complex numbers are used to simplify analysis of circuits that would otherwise require us to write high-order differentia2 KB (414 words) - 12:36, 1 September 2008
- This formula is named after Leonhard Euler and is an important formula in the analysis of complex numbers. This formula was first discovered by Roger Cotes in 17 ...functions ''e''<sup>''x''</sup>, cos ''x'' and sin ''x'' of the (real) variable ''x'' can be expressed using their Taylor expansions around zero:2 KB (362 words) - 07:05, 11 July 2012
- As we all know, complex numbers are numbers made up of both real and imaginary parts. ...litude, frequency and phase. The most common technique for this is Fourier Analysis.583 B (93 words) - 09:35, 5 September 2008
- Complex numbers, as we know, consist of real and imaginary parts. Examples of complex numbers are: ...de, frequency and phase. This is most commonly done in the form of Fourier Analysis.614 B (98 words) - 09:41, 5 September 2008
- ...Y coordinate system. In the complex system the X-axis is replaced by the Real axis and the Y-axis by the imaginary (j) axis. The imaginary axis is label ...d angle (direction). Rectangular notation refers to the phasor using its' real component and imaginary component.2 KB (302 words) - 13:34, 5 September 2008
- ...," where "j" = "i" = the square root of -1 and "a" and "b" represent whole real numbers. ...lane where the y-axis is the imaginary (j or i) axis and the x-axis is the real axis.2 KB (288 words) - 18:09, 5 September 2008
- Basically, it is a mathematical formula in complex analysis in the form of: where i is the imaginary number, and x is any real number.550 B (89 words) - 06:04, 23 September 2011
- == [[Discriminant Analysis_Old Kiwi|Discriminant Analysis]] == ...nce and approximately to other models. Variants like Flexible discriminant analysis consider nonlinear combinations as well. See Duda&Hart, "Eigenfaces vs. Fis31 KB (4,832 words) - 18:13, 22 October 2010
- Because T is the the difference between two logarithms, it can take on any real value. Even though the probabilities <math>p(c_1)</math> and <math>p(c_2)< ...theoretical framework, it is necessary to vary a threshold during Bayesian analysis. This happens when we do not know the prior probabilities of the two class3 KB (621 words) - 08:48, 10 April 2008
- ..."Statistical Pattern Recognition: A Review," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 22, no. 1, pp. 4-37, Jan., 2000 ...ronment, pattern representation, feature extraction and selection, cluster analysis, classifier design and learning, selection39 KB (5,715 words) - 10:52, 25 April 2008
- ...0877]. It has been observed that FLD works better than Principal Component Analysis in classifying the facial features. ...tion domains have realized the direct mapping between outliers in data and real world anomalies, that are of great interest to an analyst. Outlier detectio6 KB (905 words) - 12:18, 28 April 2008
- [[Category:real analysis]]2 KB (216 words) - 05:51, 11 June 2013
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- (The right hand side of this equation is the Fourier transform analysis equation for x*(t)) The conjugation property shows that if x(t) is real, then X(jw) has conjugate symmetry832 B (147 words) - 04:37, 9 July 2009
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- The identity is a special case of Euler's formula from complex analysis, which states that where j = i = <math>\sqrt{-1} </math> for any real number ''x''. (Note that sine and cosine should be in radians)1 KB (228 words) - 10:24, 23 July 2009
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- = MA598R: Real Analysis Prep course = * I used this course to prepare my qualifying exam of real analysis. You can discuss problems with other students here.--[[User:Huang94|Huang94437 B (66 words) - 10:42, 20 August 2009
- = MA504: Real Analysis=247 B (33 words) - 06:08, 21 August 2009
- = MA544: Real Analysis And Measure Theory=274 B (37 words) - 13:56, 21 August 2009
- *To get ready for the Real Analysis Qual2 KB (227 words) - 11:34, 18 March 2013
- [[Category:Real AnalysisMA440Fall2009Min Chen]] =Rhea Section for Real Analysis MA440 Professor Min Chen, Fall 2009=607 B (89 words) - 06:01, 11 September 2009
- ...even the stock market! That's right. It is possible, from simple spectral analysis to "filter" out long-term and short term trends from any time varying data. * Of course, filters are not ideal in the real world, and instead of a constant A in the pass-band, we get a reasonably co7 KB (1,251 words) - 11:54, 21 September 2012
- ...of what is discovered in math corresponds to patterns found in nature, and analysis of the one often leads to understanding of the other. Even a passing famili ...te functions without referencing any of the set theoretic underpinnings of real numbers, or even being concerned with knowing how the integral formula is d27 KB (4,384 words) - 17:47, 26 October 2009
- ...of a speech signal, it is no surprise that they form the basis for speech analysis. * A real pole -> 1 formant5 KB (841 words) - 15:26, 10 April 2013
- == Spectral Analysis of 2D Signals (Nov.16) == *'''If f(x,y) is real, the magnitued of F(u,v) is an even function; the angle of F(u,v) is an odd5 KB (950 words) - 15:17, 30 November 2010
- ...olving the mathematics behind those concepts,things will be easier.Complex analysis,functions,limits,geometric series lies in the heart of signals.Plotting var ...the contributors who say the course is easy (SPOILER ALERT: it's not). The real challenge with ECE301 is that while the applications of the course are dive14 KB (2,366 words) - 17:32, 21 April 2013
- ...l should be to make such math (these transforms rather) and relate them to real life, not just by telling us where it used but by telling us how it is. So ...our brain picks up different frequencies around us and performs a Fourier analysis (really quickly and effectively) on data: for example on different voices,13 KB (2,348 words) - 13:25, 2 December 2011
- ...transform is an operation that transforms one complex-valued function of a real variable into another. In signal processing, the domain of the original fun Assume x(t) is real,4 KB (746 words) - 08:47, 11 November 2013
- == [[Discriminant Analysis_Old Kiwi|Discriminant Analysis]] == ...nce and approximately to other models. Variants like Flexible discriminant analysis consider nonlinear combinations as well. See Duda&Hart, "Eigenfaces vs. Fis31 KB (4,787 words) - 18:21, 22 October 2010
- Here is an answer from Steve Bell, the instructor of MA 530, Complex Analysis for first year grad students in the Math PhD program. You can understand t You don't have to know much complex analysis to cook up this formula...2 KB (342 words) - 07:35, 21 March 2013
- Isn't Problem 1 a real analysis problem?586 B (85 words) - 18:05, 22 February 2011
- ...l images. Research also uses non-invasive optical systems to provide real-time imaging of drug dispersal and interaction with target cells. ...research requires the use of complex mathematical modeling and system analysis.17 KB (2,368 words) - 10:53, 6 May 2012
- ...e with operations + (addition) and *(scalar multiplication) and let W be a real vector space with operations + (addition) and *(scalar multiplication). A '''b) L(c*v)=c*L(v) for v in V, c is a real number'''3 KB (472 words) - 06:23, 10 May 2011
- :This project is intent to analysis different musical instrument's sound, and try to create artificial musical :Error analysis:5 KB (820 words) - 07:19, 21 March 2013
- course either in mathematical analysis or in abstract algebra. (Or easier to get a math degree that will lead you to "real-world" jobs than7 KB (1,309 words) - 14:24, 22 November 2011
- ...iously. The ability of project design and ability of using MATLAB for data analysis are two basic skills for an engineer. So work hard on this course, it will ...s, not relevant, and sometimes a waste of time. I learned how to work in a real team later on once I got to ECE labs, and other ECE courses. The only usefu11 KB (2,089 words) - 14:16, 16 December 2011
- This project is intent to analysis different musical instrument's sound, and try to create artificial musical ...easing exponential envelope is require for the signal to sound more like a real instrumental voice. the amplitude of the waveform of the soundtrack is 4 at6 KB (931 words) - 20:33, 15 November 2011
- CS 51500 - Numerical Linear Algebra. (was CS 515: Numerical Analysis of Linear Systems till 2009) ...ect and iterative methods; eigenvalues and eigenvectors of matrices; error analysis.5 KB (736 words) - 09:14, 11 April 2013
- ...led the business activities of international software programs and created real time monitoring systems for stress testing. All this was completely self ta ...IP cache and built upon the theories and architectures of financial market analysis softwares. To do this I created a lean 3 man team based upon Finance, Softw5 KB (796 words) - 12:16, 9 February 2012
- ...tant tool that allowed mathematicians to precisely define concepts such as real numbers, points in space, and continuous functions. In addition, Cantor's t ...n, "Elements of Set Theory" in An Interactive Introduction to Mathematical Analysis, Cambridge, UK: Cambridge University Press. 2003 ch. 4, pp 50-512 KB (283 words) - 19:23, 24 May 2013
- ...et of all integers, {..., -2, -1, 0, 1, 2, ...}? What about the set of all real numbers? * R. Kenney. MA 301. "An Introduction to Proof through Real Analysis", Lecture Notes. Faculty of the Department of Mathematics, Purdue Universit4 KB (556 words) - 19:21, 24 May 2013
- **[[2014_Summer_MA_598C_Weigel|Practice problems for complex analysis, summer 2014]] **[[MA544_Qual_Prep_%2708_OldKiwi|Practice problems for real analysis, summer 2008]]2 KB (223 words) - 21:41, 4 March 2015
- ...e there is no value on the <math>x</math>-axis that can produce a negative real number on the <math>y</math>-axis]] * R. G. Bartle, D. R. Sherbert, "Preliminaries" in "An Introduction to Real Analysis", Third Edition, John Wiley and Sons Inc. 2000 ch. 1, sect. 1.1, pp 8.5 KB (821 words) - 16:51, 11 December 2013
- == The Set of Real Numbers == ...een countable sets in this tutorial. Cantor proved in 1874 that the set of real numbers is countably infinite. He later published another proof for the sam10 KB (1,663 words) - 14:16, 29 September 2013
- ..._set_theory_countablity_mhossain_S13|countability]], that the set R of all real numbers has cardinality strictly greater than the cardinality of the set N * R. Kenney. MA 301. "An Introduction to Proof through Real Analysis", Lecture Notes. Faculty of the Department of Mathematics, Purdue Universit5 KB (737 words) - 12:13, 2 September 2013
- * R. Kenney. MA 301. "An Introduction to Proof through Real Analysis", Lecture Notes. Faculty of the Department of Mathematics, Purdue Universit8 KB (1,305 words) - 16:07, 20 May 2013
- ...to the fact that the linear gradients have been changed at this point. The real part of <math>f(x,y)e^{j\phi(t)}</math> is what you receive at the antenna ==Analysis of Phase==27 KB (4,777 words) - 07:25, 26 February 2014
- ...o studied it in the 1950s and 1960s. Though this idea is supported by many real-world examples, is it necessarily true that all plurality systems ''must'' [2] http://www.jstor.org/stable/1962968 - An analysis of Duverger's Law10 KB (1,684 words) - 19:56, 1 December 2013
- <u>'''Analysis on original idea:'''</u><br> It seems clear that the assumptions that were <br><u>'''Analysis of History and Design:'''</u><br> It is clear that our founding fathers wor13 KB (2,052 words) - 07:52, 30 November 2013
- ...we have learned how to caculate the Banzhaf power index, let's apply it to real life problems. An interesting example will be the first case where the Banz So from the above analysis it is clear that people in different states have different power, in other24 KB (3,875 words) - 20:12, 30 November 2013
- ...s the quintessential example of a modular function that appears in complex analysis and number theory, and that<br> a real vector space that has the Monster group as its automorphism group. In resp9 KB (1,387 words) - 18:29, 30 November 2013
- So <math>F_X(x)</math> tells us P<math>P_X(A)</math> if A = (-∞,x] for some real x.<br/> First, we need some results from analysis and measure theory:<br/>15 KB (2,637 words) - 12:11, 21 May 2014
- * R. G. Bartle, D. R. Sherbert, "Sets and Functions" in "Introduction to Real Analysis", 3rd Edition, John Wiley and Sons, Inc. 2000. ch 1, pp 3.1 KB (269 words) - 06:26, 6 October 2013
- * R. G. Bartle, D. R. Sherbert, "Sets and Functions" in "Introduction to Real Analysis", 3rd Edition, John Wiley and Sons, Inc. 2000. ch 1, pp 3.1 KB (240 words) - 15:43, 15 October 2013
- ...Koblitz and Miller suggested it. According to an IEEE article Performance Analysis of Identity Management in the Session Initiation Protocol by Rebahi, Pallar ...nderstood visually. All examples given here are for an elliptic curve over real numbers. Negation of a point P = (x,y) results in the reflection of the poi19 KB (3,051 words) - 22:23, 4 December 2013
- **Principal Component Analysis (PCA) **[[ROC curve analysis slecture ECE662 Spring0214 Sun|Video slecture in English]] by Jianxin Sun <10 KB (1,450 words) - 20:50, 2 May 2016
- | R(real) ...of infinite numbers whose sizes are bigger. For instance, the size of all Real numbers are bigger than the size of the Integer numbers. Therefore, there i10 KB (1,767 words) - 18:24, 27 April 2014
- ...and Markov Chains<br>C) Why is a Markov Chain useful?<br> -Applications in Real Life with examples and computation (simple weather prediction model) <br>- ...ly depends on the weather state of today (This is relatively reasonable in real cases), and given that: <br><span class="texhtml">''P''(''X''<sub>''n'' + 119 KB (3,004 words) - 09:39, 23 April 2014
- ...e is used in the classification problem instead of Eq. (3) because in most real situations it is easier to estimate the likelihood and prior. # D. S. Sivia, "Data Analysis--A Bayesian Tutorial," Oxford University Press, 1998.14 KB (2,241 words) - 10:42, 22 January 2015
- ...es yields readily to an application of Hadamard's formula and a subsequent analysis of those values <math>z</math> for which the limsup is equal to <math>1</ma ...ward: Express the bound given by the Cauchy Estimates as a function of one real variable and then use standard calculus optimization techniques to find the4 KB (620 words) - 13:10, 18 February 2014
- *I was kind of surprised that there were no problems which asked to compute a real integral by taking a detour through the complex plane. There was also no pr ...knowledge of the expansion of <math>\sin(z)</math>. Serge Lang's ''Complex Analysis'' has a nice section dealing with formal power series.2 KB (363 words) - 14:54, 25 August 2014
- ...all functions here will have domain and range <math>\mathbb{R}</math>, the real numbers. Words such as "all," "every," "each," "some," and "there is/are" a ...eptions, and with range <math>\mathbb{R}</math>. Let <math>c</math> be any real number. We say that the limit of <math>f</math> at <math>c</math> is <math>20 KB (3,513 words) - 14:55, 13 May 2014
- = [[ECE201|ECE 201]]: Linear Circuit Analysis I = ...rojectrhea.org/learning/slectures.php slectures] related to linear circuit analysis. These bonus points will not have a significant impact on your letter grade8 KB (1,126 words) - 11:37, 8 May 2015
- ...cantly more powerful than an embedded microprocessor. Performing frequency analysis on a microcontroller adds many additional layers of complexity, stemming fr9 KB (1,362 words) - 18:06, 23 February 2015
- ...esian notation has the form <math>a+jb</math>, where <math>a</math> is the real part, <math>b</math> is the imaginary part, and <math>j</math> is the imagi ...of circuits in sinusoidal steady state by using complex numbers instead of real sines and cosines. Instead of dealing with voltages and currents that oscil2 KB (270 words) - 17:41, 8 May 2015
- ...raph. Finding such path in a graph may serve as an abstraction for solving real world problems such as finding shortest route in road networks. The points '''Time Complexity Analysis'''<br />14 KB (2,351 words) - 23:21, 24 April 2016
- ...important technique, used in areas of signal processing, system design and analysis and control theory.10 KB (1,800 words) - 10:41, 27 November 2016
- ...o be defined to discuss the Laurent Series. A '''smooth''' function on the real numbers has up to a desired number of derivatives that exist, in this case ...') singularity where there are infinitely many terms for n<0. This kind of analysis can help give a better description of poles of non-polynomial functions.6 KB (931 words) - 23:40, 23 April 2017
