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Discrete Mathematics 5

Discrete Mathematics FiveThe use of the primary disjunction paradigm1. To find the formula of the true assignment and false assignment value.2. Determine the type of formula. It is a tautology, a contradiction or a satisfying formula.3. Determine whether the two proposition formulas are equivalent.Example: Use the main disjunctive paradigm of a formula to determine the type of formula described below:If there are n propositional changes in formula A,

Discrete segment Tree

; - //printf ("(%d,%d)-%d\n", TREE[C].L, TREE[C].R, tree[c].color); - return; - } A if(tree[c].color) { +tree[2*c].color =Tree[c].color; thetree[2*c+1].color =Tree[c].color; -Tree[c].color =0; $ } the intMid = (TREE[C].L + TREE[C].R)/2; the if(R 2*C, L, r, color); the Else if(L > Mid) Updata (2*c+1, L, r, color); the Else { -Updata (2*C, L, Mid, color); inUpdata (2*c+1, mid+1, R, color); the } the } About intans; the BOOLVIS[MAXN]; the voidQueryint

Uva1636-headshot (discrete probability)

Just one shot. The probability of a bullet is a conditional probability, equal to the number of substrings 00 divided by 00 and 01 total (that is, the number of 0), the probability of the transfer of the bullet is equal to 0 of the ratio.The number of substring 00 is a,0 B, then two probabilities are A/b and b/n respectively, the problem is to compare a*n and b*b.#include Uva1636-headshot (discrete probability)

Discrete cosine transform

voidinitfmn () the {Bayi DoubleFirstm =1/math.sqrt (row); the DoubleFIRSTN =1/math.sqrt (col); the for(inti =0; i ) - { - for(intj =0; J ) the { the if(i = =0) the { theFm[i, J] =firstm; - } the Else the { theFm[i, J] = Math.sqrt (2.0/row) * Math.Cos (i * j * Math.PI/row);94 } the

Hdu1542_atlanta (scanned line/line segment tree + discrete)

Solution report Question Portal Question: Calculates the rectangle and area. Ideas: Discrete + line segment tree + scanned line. #include Atlanta Time Limit: 2000/1000 MS (Java/others) memory limit: 65536/32768 K (Java/Others)Total submission (s): 6942 accepted submission (s): 3046 Problem descriptionthere are several generated ent Greek texts that contain descriptions of the fabled island Atlanta. some of these texts even include maps of parts of

HDU 4638 Group (offline algorithm | discrete line segment tree query), hdu4638

HDU 4638 Group (offline algorithm | discrete line segment tree query), hdu4638 Address: HDU 4638First, I wrote a letter to the MO team. It's very simple.The Code is as follows: #include Then I read the question report and found that the line segment tree and offline query can also be used. And it's amazing ..First, save it offline. Maintenance is performed from left to right to maintain the relative number of the previous values for the current enum

[Discrete logarithm] ultraviolet A 11916 Emoogle Grid

[Discrete logarithm] ultraviolet A 11916 Emoogle Grid Question: Apply K colors to an M * N matrix. There are B cells that cannot be colored, and each cell cannot be the same color as the cell above. If N and total result R are known, find the row M with the minimum satisfaction. All data has a modulo value of 100,000,007. Ideas: Because the X coordinates of the input vertex that cannot be colored must be within M. So record maxX. Divide the entire mat

HDU 1542 Atlantics segment tree + discrete scan

;>Y2; Ax[k]=X1; +S[k++]=seg (X1,x2,y1,1); thex[k]=x2; -S[k++]=seg (x1,x2,y2,-1); $ } theSort (x,x+k); theSort (s,s+k); the intt = unique (x, x+k)-x; the Doubleans=0; - in for(intI=0; i//Scan Segments the intPOS1 =Bin_search (s[i].x1, t); the /* About This is because it is understood to be a legal line segment, so the right-most point is the first I-dot, corresponding to the first i-1 edge the Similarly, in Updatecur, the calculation of th

Discrete Distribution of memory

the paging system; it consists of two parts: page number P and page displacement W, that is, the address on the page; (3) continuous allocation forms many "fragments". To reduce fragments and improve memory utilization, the discrete allocation mode is introduced;(4) paging system memory management: the system address is changed by querying the page table; (5) (6) It indicates the address conversion mechanism of the paging system. The address conve

Ultraviolet A 1426-discrete square roots (Extended Euclidean)

Link to the question: Ultraviolet A 1426-discrete square roots Returns X, N, R, and returns all satisfied R, so that R2 returns X % N, and R is a solution. Solution: R2? R2 = K? N (R? R) (R + R) = K? N => AA = (R + r), BB = (r? R), A, and B are the factors of N.So if we enumerate a and B, r = r? AA = BB? R AA + BB = 2? RExpand the Euclidean solution and free all satisfied items into the set to automatically remove duplicates. #include

Artificial neural Network (Artificial neural netwroks) Note-discrete single output perceptron algorithm

Recently in the study of Artificial neural network (Artificial neural netwroks), make notes, organize ideas Discrete single output perceptron algorithm, the legendary MP Two-valued Network: The value of the independent variable and its function, the value of the vector component only takes 0 and 1 functions, vectors Weight vector: w= (W1,W2,W3.....WN) Input vector: x= (X1,X2,X3.....XN) Training Sample Set {(x,y) | Y is the output of input vector

Pitfall-talk about the Fourier transformation of discrete time signals"

Although I have learned a lot about computer vision, I have never understood the mathematical meanings behind Fourier transform and image filtering. I am deeply disturbed by the existing formulas. Fortunately, through this internship at Huawei during this period, the basic knowledge related to digital signal processing has finally been filled in. The following are my learning achievements over the past few days, that is, my own understanding of Fourier transform. I.

The discrete Fourier transform of Python images

The two-dimensional discrete Fourier transform of image (MxN) can transform the image from the spatial domain to the frequency domain, the spatial coordinates are represented by x, y in the space domain, the frequency domain is represented by u,v, and the formula of the two-dimensional discrete Fourier transform is as follows:In Python, the FFT module of the NumPy Library has a two-dimensional

Algorithm Series 23: Audio playback and spectral display of discrete Fourier transform

Algorithm Series 23: Audio playback and spectral display of discrete Fourier transform Audio playback and spectral display of the 23 discrete Fourier transform algorithm series Lead What is spectrum 1 Principle of spectrum 2 Selection of Spectrum 3 Calculation of the spectrum Show Dynamic Spectrum 1 Implementation Methods

Discrete Cosine Transform DCT

MPEG adopts the discrete cosine transform (DCT-discrete cosine transform) compression algorithm proposed by Ahmed (a giant mathematician) in 1970s to reduce the spatial redundancy of video signals. DCT converts motion compensation errors or original image information blocks into coefficients that represent different frequency components. There are two advantages: first, signals usually focus most of their e

Hotspot Association rule Algorithm (1)--mining discrete data

Refer to association Rules algorithm, generally think of Apriori or FP, generally very few think of the hotspot, the algorithm does not know the application is less or I check the data means too low, in the Internet only found very little content, this article http:/ /wiki.pentaho.com/display/datamining/hotspot+segmentation-profiling, probably analyzed a little, the other seems to have not seen how. More useful algorithm class software, such as Weka, which already contains the algorithm, in the

Pandas.get_dummies discrete feature coded __ encoding

Import NumPy as NP from pandas import Series, dataframe import pandas as PD df = dataframe {' key ': [' B ', ' B ', ' A ', ' C ', ' A ', ' B '], ' data1 ': Range (6)}) pd.get_dummies (df[' key ') print (DF) ' data1 key 0 0 B 1 1 B 2 2 a 3 3 C 4 4 A 5 5 B ' ' dummies = pd.get_dummies (df[' key '), prefix= ' key ') Df_with _dummy = df[[' data1 ']].join (dummies) print (df_with_dummy) ' ' Data1 key_a-key_b key_c 0 0 0.0 1.0 0. 0 1 1 0.0 1.0 0.0 2 2 1.0 0.0 0.0 3 3 0.0 0.0 1.0 4 4 1.0 0.0-0.0 5

Understanding discrete Fourier transforms (three complex numbers)

Understanding of discrete Fourier transform (d)------complex form of discrete Fourier transform the discrete Fourier transform is very ingenious to use the complex method, making Fourier transform transformation more natural and concise, it is not simply to use the replacement method to use the complex Number, but to analyze the problem completely from the plural

Discrete Cosine Transform (DCT)-reprint

Discrete cosine transformation (DCT) Discrete Cosine Transform DCT (discrete cosine transform) is a common conversion encoding method for digital rate compression. The Fourier transformation of any continuous real-symmetric function only contains the cosine. Therefore, the cosine transformation has the same physical meaning as the Fourier transformation.

Discrete random variables and their distribution columns

This section has the following main contents:(1) Discrete random variablesIf the result of a randomized trial can be represented by a variable, then such a variable is called a random variable . The random variables that all values can be listed are called discrete random variables .(2) Distribution columns of discrete random variablesGenerally, if the

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