Trinomial permutation polynomials of the form xr(ax2s + bxs + c) over Fq have been studied where 3|q-1 and s = (q-1)/3. We derive some necessary and sufficient conditions for these trinomials to be permutation polynom...Trinomial permutation polynomials of the form xr(ax2s + bxs + c) over Fq have been studied where 3|q-1 and s = (q-1)/3. We derive some necessary and sufficient conditions for these trinomials to be permutation polynomials, and construct some examples. Moreover, we discuss the relationship between permutation trinomials of the given type over a tower of finite fields.展开更多
In practice, it is very difficult to find the solution of recurrence relation by using the characteristic roots. By applying iteration and induction we present an explicit formula of general solution for a class of ho...In practice, it is very difficult to find the solution of recurrence relation by using the characteristic roots. By applying iteration and induction we present an explicit formula of general solution for a class of homogeneous trinomial recurrence of variable coefficients with two indices. It provides a concrete and applicable model to solve the relevant problem with computer.展开更多
In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybde...In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybdenum ore as an example, a theoretical model for the hurdle price under the optimal investment timing is constructed. Based on the example data, the op- tion price model is simulated. By the model, mine investment price can be computed and forecast effectively. According to the characteristics of mine investment, cut-off grade, reserve estimation and mine life in different price also can be quantified. The result shows that it is reliable and practical to enhance the accuracy for mining investment decision.展开更多
Rice blast is regarded as one of the major diseases of rice.Screening rice genotypes with high resistance to rice blast is a key strategy for ensuring global food security.Unmanned aerial vehicles(UAV)-based imaging,c...Rice blast is regarded as one of the major diseases of rice.Screening rice genotypes with high resistance to rice blast is a key strategy for ensuring global food security.Unmanned aerial vehicles(UAV)-based imaging,coupled with deep learning,can acquire high-throughput imagery related to rice blast infection.In this study,we developed a segmented detection model(called RiceblastSegMask)for rice blast detection and resistance evaluation.The feasibility of different backbones and target detection models was further investigated.RiceblastSegMask is a two-stage instance segmentation model,comprising an image-denoising backbone network,a feature pyramid,a trinomial tree fine-grained feature extraction combination network,and an image pixel codec module.The results showed that the model combining the image-denoising and fine-grained feature extraction based on the Swin Transformer and the feature pixel matching feature labels with the trinomial tree recursive algorithm performed the best.The overall accuracy for instance segmentation of RiceblastSegMask reached 97.56%,and it demonstrated a satisfactory accuracy of 90.29%for grading unique resistance to rice blast.These results indicated that low-altitude remote sensing using UAV,in conjunction with the proposed RiceblastSegMask model,can efficiently calculate the extent of rice blast infection,offering a new phenotypic tool for evaluating rice blast resistance on a field scale in rice breeding programs.展开更多
基本视频编码标准(essential video coding,EVC)采用了新的四叉树与嵌套多叉树(quadtree plus multi-type tree,QTMT)分区结构,使视频编码的效率大大提高,其中QTMT包括四叉树分区、水平和竖直二叉树分区以及水平和竖直三叉树分区。然而...基本视频编码标准(essential video coding,EVC)采用了新的四叉树与嵌套多叉树(quadtree plus multi-type tree,QTMT)分区结构,使视频编码的效率大大提高,其中QTMT包括四叉树分区、水平和竖直二叉树分区以及水平和竖直三叉树分区。然而,随着编码效率的提高,编码的复杂度也在增加。根据EVC编码单元(coding unit,CU)的亮度残差值设计了一种全新的CU快速划分算法,CU的亮度残差值是由原始亮度值和预测亮度值之间的差异得到的,利用残差值,建立了一个CU提前终止模型,有效地降低了编码的复杂性。大量的实验结果表明,本文提出的方法平均减少了31.56%的编码时间,而Bj?ntegaard delta rate的增加也是较小的。展开更多
文摘Trinomial permutation polynomials of the form xr(ax2s + bxs + c) over Fq have been studied where 3|q-1 and s = (q-1)/3. We derive some necessary and sufficient conditions for these trinomials to be permutation polynomials, and construct some examples. Moreover, we discuss the relationship between permutation trinomials of the given type over a tower of finite fields.
文摘In practice, it is very difficult to find the solution of recurrence relation by using the characteristic roots. By applying iteration and induction we present an explicit formula of general solution for a class of homogeneous trinomial recurrence of variable coefficients with two indices. It provides a concrete and applicable model to solve the relevant problem with computer.
文摘In order to effectively avoid the defects of a traditional discounted cash flow method, a trinomial tree pricing model of the real option is improved and used to forecast the investment price of mining. Taking Molybdenum ore as an example, a theoretical model for the hurdle price under the optimal investment timing is constructed. Based on the example data, the op- tion price model is simulated. By the model, mine investment price can be computed and forecast effectively. According to the characteristics of mine investment, cut-off grade, reserve estimation and mine life in different price also can be quantified. The result shows that it is reliable and practical to enhance the accuracy for mining investment decision.
基金supported by the Natural Science Foundation of Fujian Province,China(Grant No.2022J01611).
文摘Rice blast is regarded as one of the major diseases of rice.Screening rice genotypes with high resistance to rice blast is a key strategy for ensuring global food security.Unmanned aerial vehicles(UAV)-based imaging,coupled with deep learning,can acquire high-throughput imagery related to rice blast infection.In this study,we developed a segmented detection model(called RiceblastSegMask)for rice blast detection and resistance evaluation.The feasibility of different backbones and target detection models was further investigated.RiceblastSegMask is a two-stage instance segmentation model,comprising an image-denoising backbone network,a feature pyramid,a trinomial tree fine-grained feature extraction combination network,and an image pixel codec module.The results showed that the model combining the image-denoising and fine-grained feature extraction based on the Swin Transformer and the feature pixel matching feature labels with the trinomial tree recursive algorithm performed the best.The overall accuracy for instance segmentation of RiceblastSegMask reached 97.56%,and it demonstrated a satisfactory accuracy of 90.29%for grading unique resistance to rice blast.These results indicated that low-altitude remote sensing using UAV,in conjunction with the proposed RiceblastSegMask model,can efficiently calculate the extent of rice blast infection,offering a new phenotypic tool for evaluating rice blast resistance on a field scale in rice breeding programs.
文摘基本视频编码标准(essential video coding,EVC)采用了新的四叉树与嵌套多叉树(quadtree plus multi-type tree,QTMT)分区结构,使视频编码的效率大大提高,其中QTMT包括四叉树分区、水平和竖直二叉树分区以及水平和竖直三叉树分区。然而,随着编码效率的提高,编码的复杂度也在增加。根据EVC编码单元(coding unit,CU)的亮度残差值设计了一种全新的CU快速划分算法,CU的亮度残差值是由原始亮度值和预测亮度值之间的差异得到的,利用残差值,建立了一个CU提前终止模型,有效地降低了编码的复杂性。大量的实验结果表明,本文提出的方法平均减少了31.56%的编码时间,而Bj?ntegaard delta rate的增加也是较小的。
