EECS 310 Supplementary notes on summations
... There are a couple of things to note here. First of all, observe that each sum has n + 1 terms since the index of summation starts at 0. Second, we are able to break the sum apart into two parts and evaluate each separately. The first sum is obtained by using 1) and 6). Since the first term is 0, 6) ...
... There are a couple of things to note here. First of all, observe that each sum has n + 1 terms since the index of summation starts at 0. Second, we are able to break the sum apart into two parts and evaluate each separately. The first sum is obtained by using 1) and 6). Since the first term is 0, 6) ...
Lecture 3
... Defining R takes some work. It turns out that R is ‘essentially’ the unique set of numbers which satisfies (P1) - (P12) together with an additional axiom (P13) which ensures there are ‘no holes’ or ‘gaps’ in our number line. This will be discussed in ...
... Defining R takes some work. It turns out that R is ‘essentially’ the unique set of numbers which satisfies (P1) - (P12) together with an additional axiom (P13) which ensures there are ‘no holes’ or ‘gaps’ in our number line. This will be discussed in ...
Chapter 8 Vocabulary
... A matrix that has only one row is called a ________ _________, and a matrix that has only one column is called a ___________ _________. 4. For a square matrix, the entries a11, a22, a33 ... ann are the __________ _________ entries. 5. The vertical dots in an _______________ matrix separate the coeff ...
... A matrix that has only one row is called a ________ _________, and a matrix that has only one column is called a ___________ _________. 4. For a square matrix, the entries a11, a22, a33 ... ann are the __________ _________ entries. 5. The vertical dots in an _______________ matrix separate the coeff ...
v C
... to the current in the branch. It is also the angle between z and the real axis. The rotation operator is ejF. Sketch shows positive Im{z}. jF e cos(F) j sin(F) z Re{z} j Im{z} F is positive, implying that Em leads Im. Re{z} | z | cos(F) Im{z} | z | sin(F) ...
... to the current in the branch. It is also the angle between z and the real axis. The rotation operator is ejF. Sketch shows positive Im{z}. jF e cos(F) j sin(F) z Re{z} j Im{z} F is positive, implying that Em leads Im. Re{z} | z | cos(F) Im{z} | z | sin(F) ...
1 - Rose
... 1) 18 Points (Decibel Conversions) Make the usual assumption that the signal appears across a 50 Ω load, and that all ac voltage amplitudes are in rms volts and all ac current amplitudes are in rms amperes. Remember that “dBm” is the same as “dBmw”. Recall that in MAPLE, log( ) is the same as ln( ); ...
... 1) 18 Points (Decibel Conversions) Make the usual assumption that the signal appears across a 50 Ω load, and that all ac voltage amplitudes are in rms volts and all ac current amplitudes are in rms amperes. Remember that “dBm” is the same as “dBmw”. Recall that in MAPLE, log( ) is the same as ln( ); ...
Chapter 1 – Exponents and Measurement Exponents – A shorthand
... Create equivalent fractions by multiplying or dividing by 1. Cross-Multiplication – If two fractions are equal, their cross products are equal. Lowest Terms – A fraction may be reduced to its lowest terms by dividing top and bottom by GCF ...
... Create equivalent fractions by multiplying or dividing by 1. Cross-Multiplication – If two fractions are equal, their cross products are equal. Lowest Terms – A fraction may be reduced to its lowest terms by dividing top and bottom by GCF ...
Location of Faults In Transmission Line Using Fast Fourier
... Dr.M.Surya Kalavathi, Ch.Prasanth Babu “Fault detection, classification and location on transmission lines using wavelet transform “ 2009 Annual Report Conference on Electrical Insulation and Dielectric phenomena. ...
... Dr.M.Surya Kalavathi, Ch.Prasanth Babu “Fault detection, classification and location on transmission lines using wavelet transform “ 2009 Annual Report Conference on Electrical Insulation and Dielectric phenomena. ...
Full text
... We will consider the a 0 , ..... , <^2fc-i a s t n e unknowns and solve for cc2k_1 by Cramer? s rule. If we denote the coefficient matrix by D and use (3) and (14) to replace bls bk + l9 and a2k^19 ...
... We will consider the a 0 , ..... , <^2fc-i a s t n e unknowns and solve for cc2k_1 by Cramer? s rule. If we denote the coefficient matrix by D and use (3) and (14) to replace bls bk + l9 and a2k^19 ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.