M. Abramowitz and I. A. Stegun, "Handbook of Mathematical Functions with formulas, graphs, and mathematical tables," Dover, New York 1972. Home/Search Document Not in Database Summary Related Articles Check |
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Digital Watermarking for Telltale Tamper Proofing and.. - Kundur, Hatzinakos (1999) (26 citations) (Correct)
....87, NO. 7, JULY 1999 where is the relative distance of the wavelet coefficient from one of the range boundaries of as shown in Fig. 4. We simplify the expression for as follows by using the assumption that is zero mean AGN (7) 8) erf erf (9) where erf is the traditional error function given by [13] erf (10) On average, is evenly distributed between zero and for an arbitrary image and wavelet transform. Therefore, the expected probability of a false negative of a degraded coefficient is given by erf erf (11) erf (12) The TSF for mild distortion is given by the probability that at least ....
M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions with Formulas Graphs and Mathematical
Structural Digital Signature for Image Authentication: An.. - Lu, Liao (2000) (6 citations) (Correct)
....p I (the shaded areas in Fig. 1) and can be calculated by p I = 2 Theta (Pf0 d Gamma oeg Pf a 1g) 2 Theta (Pf0 d Gamma oeg (1 Gamma Pf0 a g) 2 Theta (erf( Gamma oe 2ae S ) 1 Gamma erf( 2ae I ) 9) where erf( Delta) represents the error function [1] which is defined as: erf( 2 p Z 0 e Gammau 2 du: In Eq. 9) the constant 2 represents the two symmetric G S s that belong, respectively, to the positive and negative d. Because the attack under consideration is incidental, Gamma oe is usually small. Since the standard ....
.... threshold ffl (e.g. ffl = 0:1) Under the circumstances, the near optimal oe can be derived by p I 2 Theta [1 Gamma erf( 2ae I ) ffl: Thus, we have 1 Gamma ffl 2 erf( 2ae I ) 11) Using a predetermined ffl together with ae I and checking the tables of error function [1], we should be able to obtain the lower bound of . From this , the lower bound of a near optimal oe can be approximately determined because based on the Gaussian models shown in Fig. 1 oe is close to . Now, let the incoming attack such as object placement replacement or cloning be malicious. ....
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M. Abramowitz and I. A. Stegun, "Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables", Dover Publications, Inc., New York, 1965.
Digital Watermarking for Telltale Tamper-Proofing and.. - Kundur, al (1999) (26 citations) (Correct)
.... zero mean AGN, p fn P f Gamma v k;l (m; n) 0g P f0 v k;l (m; n) Delta Gamma g (7) P f0 v k;l (m; n) g P f0 v k;l (m; n) Delta Gamma g (8) erf 2oe v erf Delta Gamma 2oe v ; 9) where erf( Delta) is the traditional error function given by [13], erf( 2 p Z 0 e Gammat 2 dt: 10) On average, is evenly distributed between 0 and Delta for an arbitrary image and wavelet transform. Therefore, the expected probability of a false negative of a degraded coefficient is given by, p fn = 1 Delta Z Delta 0 erf 2oe v ....
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. New York: Dover Publications, Inc., 1965.
Challenging High School Computer Oriented Students with.. - Stevenson, al. (1995) (Correct)
....the library and find a college algebra book that explains Cramer s rule. Compare Cramer s rule with the solution above. 5. The Newton Raphson method of finding the square root of a is the recurrence x0 = a 2 ; x i 1 = 1 2 (2x i a x 2 i ) Go to the library and look up p 2 and p 7 in [2] as test values. 6. Write a recursive function to print out, in reverse order, the digits of an integer. Example 123 = 321. 7. Write a program to find and count all the correct solutions to the cryptoarithmetic problem: I AM = OK. In these problems, distinct letters stand for distinct digits. ....
Milton Abramowitz and Irene A. Stegun. Handbook of mathematical functions with formulas graphs, and mathematical tables. Supt. of Docs, USGPO, 1972.
Computing Budget Allocation for Efficient Ranking and.. - Trailovic, Pao Self-citation (With) (Correct)
....given by(12) can be rewritten, for n i = n b and n j = n s ,as g(#, #, x) x 1 ) x) 31) For # #x# e # x (32) # # 1 . 33) Thuy we have g(#, #, x) e # x x (# 1) 34) and hence e # x x (# 1) dx. 35) 17 The integral above can be solved as [1]: e # x x (# 1) dx = # 1 [#(# 1) ##(#, ##) 36) where # (#, ##) is the incomplete GammafumayD7 #(#, ##) # 1 For a fixed #,u sing the property#(# 1) ##(#) from (35) and (36) we have , 38) where (# # 1) # 1)##(#) #(#) 1as# . 39) Therefore, ....
M. Abramowitz and I. A.SteguJ Eds, Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables Dover Pu#779yj9D39 New York, 1972.
Decay Of Solutions To Nonlinear Parabolic Equations.. - Merdan, Caginalp (2003) (Correct)
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M. Abramowitz and I. A. Stegun, "Handbook of Mathematical Functions with formulas, graphs, and mathematical tables," Dover, New York 1972.
A Generalized Analysis of Multiple-Clad Optical Fibers.. - Profiles And.. (Correct)
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M. Abramowitz and I. A. Stegun, "Handbook of mathematical functions, with formulas, graphs, and mathematical tables," Dover publications, inc., New York, 1970.
Geometric Lévy Process Pricing Model - Miyahara, Novikov (Correct)
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Abramowitz, M.(19 "Handbook of mathematical functions with formulas, graphs and mathematical tables". Edited by Milton and Irene A. Stegun, Wiley. 20
Critical Fluctuations In Normal-To-Superconducting Transition - Folk, Holovatch (Correct)
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M. Abramowitz, A. I. Stegun, (editors) "Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables," National Bureau of Standards (1964).
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