Permutation

Babbitt’s pre-compositional structures (partial orderings) serve as a series of game-like rules affecting the composition of surface details we hear. Especially in Babbitt’s late works (post-1980) these partial ordering rules vary drastically in terms of how much freedom they allow. This variance can be modeled mathematically (a computational formula is explained and visualized). This video (the second of a three-part video essay) reveals, in an excerpt from Babbitt’s 1987 sax and piano work Whirled Series, an intricate web of referential details (serial and tonal) that are improvised from the trillions of possibilities enabled by its background structure (partial ordering). The advantages of this peculiar improvisatory compositional situation in which Babbitt places himself are compared to visual art, chord-based bebop jazz improvisation, and to current ethics-infused philosophies of improvisation. http://doi.org/10.30535/smtv.5.2

Owing to advances in communication technology, a bulk of visual digital data is being stored and transmitted over the internet now-a-days. Particularly millions and millions of images transfer through the network per day as per the statistics and a result, the security of image data is an important requirement. Image encryption algorithm is used to provide this security. In this paper, an image encryption algorithm based on confusion diffusion architecture that uses dynamic key space is proposed. An internal key generator is used to generate the initial seeds for the overall encryption scheme is proposed. With these initial seeds logistic map generates pseudo random numbers then these numbers are converted into permutation order for permutation. The diffusion bits are generated in parallel using the logistic map and manipulated with pixels confused. The image pixels are iteratively confused and diffused using permutation order and diffusion bits respectively to produce cipher image in minimum number of rounds. This paper proposes a new kind of initial seed generation that utilizes the combo of logistic and tent maps. Even all external seeds are same. The internal seeds will be totally different. This ensures the key sensitivity. The simulation results and analysis confirm that the satisfactory level of security is achieved in three rounds and overall encryption time is saved.

Research interest in rapid structured-light imaging has grown increasingly for the modeling of moving objects, and a number of methods have been suggested for the range capture in a single video frame. The imaging area of a 3D object using a single projector is restricted since the structured light is projected only onto a limited area of the object surface. Employing additional projectors to broaden the imaging area is a challenging problem since simultaneous projection of multiple patterns results in their superposition in the light-intersected areas and the recognition of original patterns is by no means trivial. This paper presents a novel method of multi-projector color structured-light vision based on projector–camera triangulation. By analyzing the behavior of superposed-light colors in a chromaticity domain, we show that the original light colors cannot be properly extracted by the conventional direct estimation. We disambiguate multiple projectors by multiplexing the orientations of projector patterns so that the superposed patterns can be separated by explicit derivative computations. Experimental studies are carried out to demonstrate the validity of the presented method. The proposed method increases the efficiency of range acquisition compared to conventional active stereo using multiple projectors.

This is the most general case for any location of given point in the space which is derived by using basic formula taken from the book "Advanced Geometry by H.C. Rajpoot". Its derivation & detailed explanation has been given in author's book of research articles of 3-D Geometry.

For structured-light range imaging, colour stripes can be used for increasing the number of distinguishable light patterns compared to binary black-and-white stripes. Therefore, an appropriate use of colour patterns can reduce the number of required light projections for imaging an object scene, and range imaging can be achievable in a single video frame or in “one-shot”. On the other hand, the reliability and range resolution attainable from colour stripes are generally lower than those from temporally encoded binary black-and-white patterns since colour contrast is affected by object colour reflectance and ambient light. This paper presents new methods for selecting stripe colours and designing multiple-stripe patterns for “one-shot” and “two-shot” imaging. We show that maximizing colour contrast between the stripes in one-shot imaging reduces the ambiguities resulting from coloured object surfaces and limitations in sensor/projector resolution. Moreover, a cross-stripe gradient method is presented to improve estimation of illumination patterns in one-shot imaging. Two-shot imaging adds an extra video frame and maximizes the colour contrast between the first and second video frames to diminish the ambiguities even further. Experimental results and discussion demonstrate the effectiveness and robustness of the presented one-shot and two-shot colour-stripe imaging schemes.

The global market today is very competitive. Completion of projects on time and estimating the project completion time is still difficult in some areas like in the printing industry, where skill also plays a predominant role. The print production activities require human judgment and skill to accomplish the job. The raw materials properties used in the printing process influence runability of the printing machine. Controlling these factors in the production environment is very difficult. Estimating the stochastic job completion time by Program Evaluation and Review Technique (PERT) uses approximate calculation of standard deviation σ and the activity expected time Texp. The project scheduled time Tsch is greatly influenced by standard deviation. The most popular N-method of standard deviation adopted in calculating the Tsch in two conditions where Tmin and Tmax are closer to Tmaen and in extreme time estimate condition to Tmin and Tmax. Permutation and combinations of the Tmin, Tmea...

We propose a practical scheme based on factoring and semantically secure (IND-CPA) in the standard model. The scheme is obtained from a modi.cation of the so called RSA-Paillier [5] scheme. This modification is reminiscent of the ones applied by Rabin [22] and Williams [25] to the well-known RSA cryptosystem. Thanks to the special properties of such schemes, we obtain efficiency similar to that of RSA cryptosystem, provably secure encryption (since recovering plaintext from ciphertext is as hard as factoring) and indistinguishability against plaintext attacks. We also construct a new trapdoor permutation based on factoring, which has interest on its own. Semantic security of the scheme is based on an appropiate decisional assumption, named as Decisional Small 2e-Residues assumption. The robustness of this assumption is also discussed. Compared to Okamoto-Uchiyama's scheme [18], the previous IND-CPA cryptosystem in the standard model with onewayness based on factoring, our scheme is drastically more efficient in encryption, and presents higher bandwith, achieving the same expansion factor as Paillier or El Gamal schemes. We believe the new scheme could be an interesting starting point to develop efficient IND-CCA schemes in the standard model with one-wayness based on factoring.

Partitioning a permutation into a minimum number of monotone subsequences is N Phard. We extend this complexity result to minimum partitioning into k-modal subsequences; here unimodal is the special case k = 1. Based on a network flow interpretation we formulate both, the monotone and the k-modal version, as mixed integer programs. This is the first proposal to obtain provably optimal partitions of permutations. LP rounding gives a 2-approximation for minimum monotone partitions and a (k+1)-approximation for minimum (upper) k-modal partitions. For the online problem, in which the permutation becomes known to an algorithm sequentially, we derive a logarithmic lower bound on the competitive ratio for minimum monotone partitions, and we analyze two (bin packing) online algorithms. These immediately apply to online cocoloring of permutation graphs.

Prove that the cards in a deck of 2^n cards will return to their original positions after n +1 such shuffles. (p. 57) [ n = 6 ; 7 shuffles ] (p. 56) In general, if we have a deck of m cards, then n { + 1 } shuffles will return the cards to the original order provided that 2^n == 1 (mod m + 1) Thus if m = 62, we need only 6 { + 1 } shuffles, since 2^6 – 1 = 63 [ = 64-1 ] III Conclusion This is written on Shuffling Deck 7 times Returns to Original.

This paper describes a new basis for the implementation of the shifter functional unit in microprocessors that can implement new advanced bit manipulations as well as standard shifter operations. Our design is based on the inverse butterfly and butterfly data path circuits, rather than the barrel shifter or log-shifter designs currently used. We show how this new shifter can implement the standard shift and rotate operations, as well as more advanced extract, deposit, and mix operations found in some processors. Furthermore, it can perform important new classes of even more advanced bit manipulation instructions like arbitrary bit permutations, bit gather (or parallel extract), and bit scatter (or parallel deposit) instructions. Thus, our new functional unit performs the functionality of three functional units-the basic shifter, the multimedia-mix unit, and the advanced bit manipulation functional unit, while having a latency only slightly longer than that of the log-shifter. For performing only the existing functions of a shifter, it has significantly smaller area.

A new type of stochastic dependence for a sequence of random variables is introduced and studied. Precisely, (X_n)_n≥ 1 is said to be conditionally identically distributed (c.i.d.), with respect to a filtration (G_n)_n≥ 0, if it is adapted to (G_n)_n≥ 0 and, for each n≥ 0, (X_k)_k>n is identically distributed given the past G_n. In case G_0=∅,Ω and G_n=σ(X_1,...,X_n), a result of Kallenberg implies that (X_n)_n≥ 1 is exchangeable if and only if it is stationary and c.i.d. After giving some natural examples of nonexchangeable c.i.d. sequences, it is shown that (X_n)_n≥ 1 is exchangeable if and only if (X_τ(n))_n≥ 1 is c.i.d. for any finite permutation τ of 1,2,..., and that the distribution of a c.i.d. sequence agrees with an exchangeable law on a certain sub-σ-field. Moreover, (1/n)∑_k=1^nX_k converges a.s. and in L^1 whenever (X_n)_n≥ 1 is (real-valued) c.i.d. and E[| X_1| ]<∞. As to the CLT, three types of random centering are considered. One such centering, significant in B...