Side-Channel Leakage Analysis of Inner Product Masking

The Inner Product Masking(IPM)scheme has been shown to provide higher theoretical security guarantees than the BooleanMasking(BM).This scheme aims to increase the algebraic complexity of the coding to achieve a higher level of security.Some previous work unfolds when certain(adversarial and implementation)conditions are met,and we seek to complement these investigations by understanding what happens when these conditions deviate from their expected behaviour.In this paper,we investigate the security characteristics of IPM under different conditions.In adversarial condition,the security properties of first-order IPMs obtained through parametric characterization are preserved in the face of univariate and bivariate attacks.In implementation condition,we construct two new polynomial leakage functions to observe the nonlinear leakage of the IPM and connect the security order amplification to the nonlinear function.We observe that the security of IPMis affected by the degree and the linear component in the leakage function.In addition,the comparison experiments from the coefficients,signal-to-noise ratio(SNR)and the public parameter show that the security properties of the IPM are highly implementation-dependent.

Storage of biomass and net primary productivity in desert shrubland of Artemisia ordosica on Ordos Plateau of Inner Mongolia, China

Biomass and net primary productivity （NPP） are two important parameters in determining ecosystem carbon pool and carbon sequestration. The biomass storage and NPP in desert shrubland of Artemisia ordosica on Ordos Plateau were investigated with method of harvesting standard size shrub in the growing season （June-October） of 2006. Results indicated that above- and belowground biomass of the same size shrubs showed no significant variation in the growing season （p〉0.1）, but annual biomass varied significantly （p〈 0.01）. In the A. ordosica community, shrub biomass storage was 699.76-1246.40 g.m^-2 and annual aboveground NPP was 224.09 g-m^-2·a^-1. Moreover, shrub biomass and NPP were closely related with shrub dimensions （cover and height） and could be well predicted by shrub volume using power regression.

COMPLEX INNER PRODUCT AVERAGING METHOD FOR CALCULATING NORMAL FORM OF ODE

This paper puts forward a complex inner product averaging method for calculating normal form of ODE. Compared with conventional averaging method, the theoretic analytical process has such simple forms as to realize computer program easily. Results can be applied in both autonomous and non-autonomous systems. At last, an example is resolved to verify the method.

Application of Ecological Footprint Method Based on Net Primary Productivity in Inner Mongolia

Using ecological footprint method based on net primary productivity （NPP）, the ecological footprint, ecological carrying capacity and ec- ological deficit/surplus in Inner Mongolia in 2005 and 2010 were calculated firstly, and then their temporal and spatial variations were analyzed. Fi- nally, the main driving factors of changes in the ecological footprint were discussed through linear regression analysis. The results show that the ec- ological footprint increased faster than the ecological carrying capacity in Inner Mongolia from 2005 to 2010, and Inner Mongolia was in ecological deficit on the whole. In addition, the ecological state became worse from the northeast to the southwest in Inner Mongolia, and the ecological state was the worst in Ordos City where the ecological deficit reached 0.9 km2/capita in 2010. As a result of increase of industrial intensity and unreason- able industrial structure, the sustainability in Inner Mongolia decreased.

Solution for slab forging with bulge between two parallel platens by strain rate vector inner-product integration and series expansion

A new linear integration was developed. First, effective strain rate for slab forging with bulge was expressed in terms of two-dimensional strain rate vector, and its inner-product was integrated term by term. Second, a summation process of term by term integrated results and a formula of the bulging were introduced, and an analytical solution of stress effective factor was obtained. It is proved that the expression of power by the above linear integration is the same as that of traditional immediate integration. Also, the solution was simplified by series expansion and compared by slab forging test with the others. It turns out that the calculated result of total forging pressure is basically in agreement with measured value in the actual press test.

ON APPROXIMATELY(p,q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

We prove, using the fixed point approach, some results on hyperstability （in normed spaces） of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces.

Inner-product of strain rate vector through direction cosine in coordinates for disk forging

A new linear integration for plastic power was proposed.The effective strain rate for disk forging with bulge was expressed in terms of two-dimensional strain rate vector,and then its direction cosines were determined by the ratio of coordinate increments.Furthermore,inner-product of the vector for plastic power was term integrated by term and summed.Thereafter,through a formula for determination of bulge an analytical solution of stress effective factor was obtained.Finally,through compression tests,the calculated results of above formula were compared with those of Avitzur’s approximate solution and total indicator readings of the testing machine.It is indicated that the calculated compression forces are basically in agreement with the measured ones if the pass reduction is less than 13.35%.However,when the reduction gets up to 25.34% and 33.12%,the corresponding errors between the calculated and measured results also get up to 6% and 13.5%,respectively.

Comparative Study of Impacting Factors of Grain Production of Inner Mongolia Region in Different Periods

On the basis of grey correlation analysis,8 factors impacting grain production prominently as follows are selected to establish indices system:yield per unit(X1),grain planting area(X2),agricultural labor forces(X3),the total power of agricultural machinery(X4),using amount of fertilizer(X5),the damaged area of crops(X6),effective irrigation area(X7),and agricultural fixed assets investment(X8).According to the relevant data of Inner Mongolia Statistical Yearbook from 1988 to 2008,we use the method of grey correlation analysis to analyze the factors impacting grain production in Inner Mongolia,quantify the correlation degree of the total grain output and all factors,and finally conclude the impacting capacity of all factors on grain production in the light of correlation degree value.The results show that yield per unit still is the principal factor impacting the total output of grain in Inner Mongolia;the area of grain planting and the area of affected crops are the two most important factors responsible for the decrease of grain output;effective irrigation area the total power of agricultural machinery are the two primary factors impacting the increase of grain output;the using amount of fertilizer shows dwindling impact on grain production;agricultural fixed assets investment still hovers at the minuscule impact degree on grain production.

Intuitionistic Menger inner product spaces and applications to integral equations

In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.

Self-dual Codes with Symplectic Inner Product

In this paper, we discuss a kind of Hermitian inner product - symplectic inner product, which is different from the original inner product - Euclidean inner product. According to the definition of symplectic inner product, the codes under the symplectic inner product have better properties than those under the general Hermitian inner product. Here we present the necessary and sufficient condition for judging whether a linear code C over Fp with a generator matrix in the standard form is a symplectic self-dual code. In addition, we give a method for constructing a new symplectic self-dual codes over Fp, which is simpler than others.

Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces

In [1],a family of angles are defined in normed linear spaces. In this paper,it is shown that if anyone of the angles satisfies certain euclidean triangle congruence properties,the space must be an inner product space.

Some Results on Reverses of Cauchy-Schwarz Inequality in Inner Product Spaces

Some new reverses of the Cauchy-Schwarz inequality in inner product spaces are presented in this paper. As an application of the main result, a formula for error estimate concerning Cauchy-Schwarz’s inequality is provided. The results obtained in the paper complement and improve some recent work about this topic.

Inner Product Laplacian Embedding Based on Semidefinite Programming

This paper proposes an inner product Laplacian embedding algorithm based on semi-definite programming, named as IPLE algorithm. The new algorithm learns a geodesic distance-based kernel matrix by using semi-definite programming under the constraints of local contraction. The criterion function is to make the neighborhood points on manifold as close as possible while the geodesic distances between those distant points are preserved. The IPLE algorithm sufficiently integrates the advantages of LE, ISOMAP and MVU algorithms. The comparison experiments on two image datasets from COIL-20 images and USPS handwritten digit images are performed by applying LE, ISOMAP, MVU and the proposed IPLE. Experimental results show that the intrinsic low-dimensional coordinates obtained by our algorithm preserve more information according to the fraction of the dominant eigenvalues and can obtain the better comprehensive performance in clustering and manifold structure.

Sensitivity of livelihood strategy to livestock production and marketization:An empirical analysis of grasslands in Inner Mongolia,China

Recent researches have primarily focused on the relationship between livelihood strategies and livelihood capital,with few empirical studies on the sensitivity of livelihood strategies to livestock production and marketization in Inner Mongolia Autonomous Region of China.This study used an income distribution approach to categorize livelihood strategies of the respondents(n=394)into three types,i.e.,herder livelihood strategy(LS1),petty-herder livelihood strategy(LS2),and non-herder livelihood strategy(LS3).Using the multinomial logistic regression model,we compared livestock production and marketization across the three livelihood strategies.Our findings showed that(1)livestock production and marketization tended to favor LS1;(2)an increase in the land asset(contracted and rented grassland)and off-take rate increased the probability of households choosing LS1;(3)stocking rate was higher for LS1;and(4)the higher critical market-related risks perceived by herders were animal price and hay and corn price.Moreover,higher livestock price acted as a deterrent to diversifying into other livelihood strategies(LS2 and LS3).Finally,this study advocates for policies that will promote the land transfer market,adopt modern techniques in animal husbandry,improve the medium for disseminating market information to herders,and provide incentives for long-term livelihood transformation.

A CONSTRUCTIVE PROOF ON HERMITIAN SCALAR PRODUCTS AND DIAGONAL OF H-MATRICES

Suppose that D is a division ring in which there is defined an anti-automorphism α→(?)is involutorial,R is a left vector space over D.Using the given anti-automorphism α→(?),it is easy to turn R into a right vector space over D by seting x(?)=ax.Bilinear form g(x,y)connecting the left vector space R and the right vector space R is a Hermitian scalar.

Competitiveness Analysis of Processing Industry Cluster of Livestock Products in Inner Mongolia Based on "Diamond Model"

Using Michael Porter's "diamond model", based on regional development characteristics, we conduct analysis of the competitiveness of processing industry cluster of livestock products in Inner Mongolia from six aspects (the factor conditions, demand conditions, corporate strategy, structure and competition, related and supporting industries, government and opportunities). And we put forward the following rational recommendations for improving the competitiveness of processing industry cluster of livestock products in Inner Mongolia: (i) The government should increase capital input, focus on supporting processing industry of livestock products, and give play to the guidance and aggregation effect of financial funds; (ii) In terms of enterprises, it is necessary to vigorously develop leading enterprises, to give full play to the cluster effect of the leading enterprises.

Fixed Point Theorems in Fuzzy Inner Product Spaces

In this paper,we obtain some new fixed point theorems in fuzzy-Banach spaces by considering the t-norms of h-type and a linear mapping of weakly demicompact.

烟用框架纸应用现状与性能指标分析

烟用框架纸是重要的卷烟包装材料,具有保护卷烟等作用。本文首先介绍了烟用框架纸产品的技术发展和应用情况;然后重点分析了烟用框架纸的主要性能指标,并对行业代表性样品开展了性能指标普查测试研究,评价了烟用框架纸产品的整体质量水平;最后展望了烟用框架纸产品的发展方向。

光致变色纱线在多层织物设计中的应用

为了丰富织物的多样性,利用光致变色纱线,结合表里换层双层组织,设计与开发了“P”字图案表里换层光致变色面料;并进一步设计与开发了上、中层表里换层结构的“E”字图案三层组织光致变色面料,实现了织物在光线照射下单面变色,而反面不显变色的特殊效果。将光致变色纱线与表里换层结构的双层或多层织物相结合,可以形成新型光致变色功能面料,为此类产品的开发与设计提供了一种新思路。

新质生产力推动内蒙古产业结构优化升级的理论逻辑与路径

新质生产力与产业结构之间具有内在逻辑,它能够以新要素为产业结构优化调整注入创新活力。本文旨在分析新质生产力的内涵与特征,探讨新质生产力在推动内蒙古产业结构优化升级中的理论逻辑,结合内蒙古当前产业结构存在的问题,提出新质生产力推动内蒙古产业结构转型升级的路径,以期为内蒙古经济高质量发展提供理论和实践指导。