Logarithm Of Size Research Articles

Transformation processes in the osteoarchaeological record between the Iron Age and the Roman times with reference to the civitas Treverorum

AbstractThis paper discusses transformations in human behavior between the Iron Age and the Roman times in the tribal territory of the Treveri, later civitas Treverorum, located between the Rhine and the Ardennes. This aspect has been examined from two perspectives: first, from an anthropological point of view vis‐a‐vis the historical inhabitants, and second, from an archaeozoological perspective regarding domestic animals. Due to small sample sizes and/or difficulty in dating, both regarding humans and domestic animals, transformations in living conditions and animal‐keeping could mostly be outlined only for the La Tène and Roman times. Only the Celtic‐Roman cemetery of Wederath‐Belginum with continued use from middle La Tène to late antiquity offers a more complex insight into human mortality and animal offerings. People lived longer in the Roman times but had more pathologies compared with the previous La Tène period. Body height remained similar in the La Tène and Roman times. However, differences existed within specific human groups (for example, warriors and craftsmen), compared to the normal population. Sex differences in mortality persisted from La Tène to Roman times. The faunal composition in the burials, settlements, and sanctuaries also shows changes. Since the middle La Tène period, chickens have been present. The first oysters can be found in Augustean times, whereas exotic birds such as crested fowls and peacocks are found only in later Roman times and are quite rare. A new direction in animal‐keeping is demonstrated via an increasing logarithmic size index (LSI) in cattle and sheep. The multivariate methods applied in this study offer further insights into the domain and can serve as helpful tools for osteoarchaeological data analysis.

Pairwise‐Interaction Model Unifies Different Asymptotic Shapes of UHI Intensity

AbstractCity size is a primary determinant of the urban heat island (UHI) intensity, with its effects further nuanced by the urban form. But how to factor in the urban form into the UHI assessment remains unresolved. We propose an every‐pair‐interaction model that meaningfully incorporates urban size and fractal dimension to characterize the UHI intensity. Regression on the summertime surface UHI intensity of 5,000 European cities shows that the model outperforms the simple linear combination of logarithmic size and fractal dimension. Subject to the interplay between the range of the every‐pair interaction and the urban fractal shape, the model also represents a generalization as it includes power‐law, logarithmic, and saturating size dependence of UHI—all three possibilities have been reported empirically in the literature. Our theoretical framework indicates that the surface UHI intensity saturates with urban size, opening up new research perspectives around UHI intensity.

Luby's MIS algorithms made self-stabilizing

We reconsider two well-known distributed randomized algorithms computing a maximal independent set, proposed in the seminal work of Luby (1986). We enhance these algorithms such that they become self-stabilizing without sacrificing their run-time, i.e., both stabilize in O(log⁡n) synchronous rounds with high probability on any n-node graph. The first algorithm gets along with three states, but needs to know an upper bound on the maximum degree. The second does not need any information about the graph, but uses a number of states that is linear in the node degree. Both algorithms use messages of logarithmic size.

Threshold ring signature: generic construction and logarithmic size instantiation

A ring signature is a variant of normal digital signature and protects the privacy of a specific signer in the sense that a ring signature can be verified, but the signer’s identity can only be traced to a limited set. The concept was further enhanced to threshold setting to distribute signing ability among several signers. Since threshold ring signature was introduced, it was a hard problem whether one can have efficient constructions for it. In this paper, we introduce a new generic construction of threshold ring signature, named GTRS, based on canonical identification of a specific form. Our signature consists of a polynomial (represented by n-t+1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$n - t + 1$$\\end{document} coefficients) and a single response, resulting in significantly shorter threshold ring signatures. Instantiating the generic construction with specific DL-based components, e.g. Schnorr identification and a novel vector argument of knowledge developed in this paper, we obtain GTRS-EC, which is shorter than all existing threshold ring signatures without any trusted setup.

Bird Exploitation and Chicken Size in the Late Medieval and Early Modern Periods in Continental Croatia

The significance of birds in the medieval human diet has been greatly explored in Europe. However, there is a lack of systematic analysis of data from Croatia. Avian remains dated to the Late Medieval and Early Modern Periods from five archaeological sites in continental Croatia underwent skeletal and taxonomic analysis. Age groups were determined and sex identification was conducted using visual and X-ray diagnostics. Chicken bone measurements were taken, and the logarithmic size index (LSI) technique was performed. Statistical analysis was applied to explore differences between sites. A total of 694 avian remains were studied, revealing 10 species/genera. Avian remains ranged from 8.88% to 20.32% across sites, with the highest percentage found at the urban site BAN. Hens outnumbered cockerels across all sites, with adult chickens prevailing over immature and subadult ones. Chicken sizes were generally consistent across sites, except for castle MIL, where a larger breed was identified. Cockerels tended to be larger than hens, except for one small-sized spurred specimen. To conclude, bird exploitation complemented the use of other animals in diets. Chickens were vital for eggs and meat, with monasteries excelling in bird husbandry over castles. Inhabitants of urban areas mainly consumed bird meat. Castles showed high status through game and imported birds. The aim of this article was to fill in the gap of information regarding the exploitation and consumption of birds at Croatian sites during the Late Medieval and Early Modern Periods.

Comment on “Momentum and Energy Predict the Backwater Rise Generated by a Large Wood Jam” by Follett, E., Schalko, I. and Nepf, H.

AbstractFollett et al. (2020a, https://doi.org/10.1029/2020gl089346) developed an analytical model to predict backwater rise by log jams, using the size and packing density of logs and the jam length, as well as river slope and bed roughness. We show that the model formulas can be rewritten using the Froude number instead of river slope and roughness, thus improving their applicability in engineering practice. The equation terms and results of Follett et al. (2020a, https://doi.org/10.1029/2020gl089346) are found to be similar to those of the empirically derived formula by Schalko et al. (2018, https://doi.org/10.1061/(asce)hy.1943‐7900.0001501). However, some differences are identified, calling for further study. Most notably, these distinctions pertain to the effect of accumulation porosity, with additional minor differences in the exponent of the Froude number. Lastly, model implications for some broader applications are explored, showing a methodology to calculate the representative log size for log mixtures, and the expected effect of log orientation on backwater rise.

A packing problem approach to grasping with a two-finger gripper with application in forest harvesting

Robotic Hand Grasping is a challenging task that is studied by different researchers, with contributions made to topics such as grasping quality measuring, synthesis, and mathematical models. However, these works usually consider grasping of only one object at time, which is not applicable when the hand must carry multiple objects. Multiple objects grasping problem can be approached as a packing problem, which consists in filling a container with objects of a determined geometry, using the space available in the most efficient way. The aim of this work is to obtain a design methodology for a two-finger gripper that optimizes the grasping capacity of slender cylindrical multiple objects, applying packing problem concepts. This case is of practical importance in grapple claws used in forest harvesting for picking logs. A mathematical model is presented that allows to obtain an optimized geometric configuration of the grapple claw for maximum grasping capacity and packing density for given numbers and sizes of logs. This model is analytically solved for the maximum radius of a set of logs that can be grasped. Alternatively, for a number of logs with a given diameter, the geometric dimensions of an optimized grapple claw can be obtained. The solutions are evaluated using packing density and Active Force Closure (AFC) as quality metrics, to show the benefits of adding them as design criteria in the design multiple objects grapple claws.

Estimation of lumber recovery for small-scale mobile sawmills in Tanzania

Lumber recovery is an important parameter in determining the production efficiency and viability of mobile sawmilling operations. In this study, lumber recoveries for mobile sawmilling machines operating in four different locations in Tanzania were estimated. A total of 11 mobile sawmilling operations were studied. On each piece of mobile sawmilling machinery, data on log sizes, including bottom, mid and top diameter, and log lengths were recorded. Results showed that the number of logs per machine ranged from 5 to 40 with an average of 28 logs. The middle diameter of the logs ranged from 8 to 44.60 cm, with an average value of 20.58 cm. The number of lumbers produced for each log varied from 1 to 9 pieces, with an average of 3 pieces across all the sites. The lumber recovery (%), varied depending on the individual machine, machine type, source of logs and geographical site within Tanzania. For all the machines, the average lumber recovery (%) per machinery ranged from 16.15 to 62.79%. Among the three types of mobile sawmilling machinery, Wood-Mizer had relatively higher lumber recovery (56.2%) than Ameck and Ding-Dong. The overall average lumber recovery value for all the machines, irrespective of log sizes, site and source of lumber was 43.34%. Analysis of variance (ANOVA) indicated that site, source of lumber, machine type and size of logs had a statistically significant effect (p < 0.05) on lumber recovery (%). The study concluded that mobile sawmilling in Tanzania produces sawn timber with reasonable lumber recovery. However, further studies are recommended to examine technical aspects, such as productivity and taper, as well as cost of the mobile sawmilling operations.

Tracing royal consumption and socio-symbolism through faunal remains: Zooarchaeology of Iron Age–Urartu Ayanis citadel, Eastern Turkiye

Despite having a research history of more than one and a half centuries, zooarchaeological investigations within Urartian archaeology are still very limited. This study marks a significant contribution presenting a comprehensive zooarchaeological dataset of 11,977 animal bones and fragments, primarily unearthed from a royal midden at the Urartian site of Ayanis citadel, Eastern Turkiye. The analysis encompasses species identification, age estimation, sex determination, and the identification of taphonomic and pathological changes. Rigorous measurements were taken to establish a robust zooarchaeological dataset. Logarithmic Size Index (LSI) was calculated to identify the morphological characteristics of Ayanis sheep, goats, and cattle, as well as potential sex-based exploitation of these animals. Contextualizing the results with faunal remains from contemporary Urartian sites including Bastam in Iran, and Karmir-Blur, Aramus and Horom in Armenia, this study presents hitherto overlooked archaeological evidence of animal-based consumption behavior and rituals, and possible animal taboos practiced by the Urartian royals and elites. It also offers new opportunities for comparative analyses and discussions for the biometric status of domestic livestock and animal-human interactions within the broader context of the Iron Age in the Lesser Caucasus and West Asia.

Optimizing Bucking Decisions in Korean Red Pine: A Dynamic Programming Approach to Timber Profitability

Poor bucking decisions in forest stands can result in underestimating the profitability of timber sales. This study focuses on Pinus densiflora, commonly known as a red pine in Korea, which has often been underutilized as pulp and chips, leading to reduced profit margins. This study aimed to improve bucking decisions for red pine by analyzing the potential values in different log types and the profitability of manufacturing lumber products compared to pulp chips. A log sawing simulation model was developed using dynamic programming. This study optimized sawing patterns and estimated net profits for varying log sizes within the lumber market in Korea. The findings reveal that manufacturing lumber products from 3.6 m and 2.7 m logs can yield net profits 861% and 723% higher, respectively, than producing pulp chips from 1.8 m logs. Notably, sawing 3.6 m logs resulted in an average net profit 24% higher than from 2.7 m logs. These results advocate for more strategic bucking decisions based on potential timber sale profits and the end-uses of logs, especially in trees with large diameters at breast height (DBH), which can produce high-quality logs and should be bucked into long sawlogs whenever possible. Additionally, the study emphasizes the importance of practicing timber cruise to appraise the stumpage value of forest stands more accurately, moving beyond mere volume estimation to include tree type and expected volume. By implementing these practices, timber sale profits and the overall value of forest stands in Korea can be significantly enhanced. This approach not only benefits the economic aspect of forestry but also encourages sustainable and efficient resource management.

Breathing New Life into an Old Tree: Resolving Logging Dilemma of B + -tree on Modern Computational Storage Drives

Having dominated databases and various data management systems for decades, B + -tree is infamously subject to a logging dilemma: One could improve B + -tree speed performance by equipping it with a larger log, which nevertheless will degrade its crash recovery speed. Such a logging dilemma is particularly prominent in the presence of modern workloads that involve intensive small writes. In this paper, we propose a novel solution, called per-page logging based B + -tree, which leverages the emerging computational storage drive (CSD) with built-in transparent compression to fundamentally resolve the logging dilemma. Our key idea is to divide the large single log into many small (e.g., 4KB), highly compressible per-page logs , each being statically bounded with a B + -tree page. All per-page logs together form a very large over-provisioned log space for B + -tree to improve its operational speed performance. Meanwhile, during crash recovery, B + -tree does not need to scan any per-page logs, leading to a recovery latency independent from the total log size. We have developed and open-sourced a fully functional prototype. Our evaluation results show that, under small-write intensive workloads, our design solution can improve B + -tree operational throughput by up to 625.6% and maintain a crash recovery time of as low as 19.2 ms, while incurring a minimal storage overhead of only 0.5-1.6%.

The human cell count and size distribution

Cell size and cell count are adaptively regulated and intimately linked to growth and function. Yet, despite their widespread relevance, the relation between cell size and count has never been formally examined over the whole human body. Here, we compile a comprehensive dataset of cell size and count over all major cell types, with data drawn from >1,500 published sources. We consider the body of a representative male (70 kg), which allows further estimates of a female (60 kg) and 10-y-old child (32 kg). We build a hierarchical interface for the cellular organization of the body, giving easy access to data, methods, and sources (https://humancelltreemap.mis.mpg.de/). In total, we estimate total body counts of ≈36 trillion cells in the male, ≈28 trillion in the female, and ≈17 trillion in the child. These data reveal a surprising inverse relation between cell size and count, implying a trade-off between these variables, such that all cells within a given logarithmic size class contribute an equal fraction to the body's total cellular biomass. We also find that the coefficient of variation is approximately independent of mean cell size, implying the existence of cell-size regulation across cell types. Our data serve to establish a holistic quantitative framework for the cells of the human body, and highlight large-scale patterns in cell biology.

What are the Barriers to Adoption of Radical Innovation in Conservative Industries and How Can They Be Overcome by Technology Providers?

The research explores the “petroleum industry” in the field of “oil and gas”. The goal is to convert industry “conservatism” into an industry standard that follows a consistent pattern of architecture, dominant design, and radical innovation, articulated and applies the assistance of technology providers and eliminate the biases and give the innovator the pertinent information that he/she needs to move forward with innovation adoption. The focus of the research was on cross-case examinations which included historical and new innovation. The method that was chosen is the qualitative and quantitative approach. The research led to the conclusion that the main innovation barriers are regulation, perception, justified beliefs, uncertainties, financial, log size, security and privacy. The paper is focusing on volatility within the petroleum industry as the main barrier. Recommendations to these barriers are technological providers, structure and methodology. There is a gap where future research is recommended with the universities being able to assist with innovative ideas.

The sawmill yield increase potential with manufacturing increased wane and random width boards for engineered wood products

ABSTRACT The objective of this study was to assess the potential gains in log processing yield when integrating sawmill and engineered wood products manufacturing, a process which enables the use of random board widths and higher wane allowances than normal. The simulation was utilized and validated against real log sawing. The validation study showed that simulations consistently over-estimated the actual volume recovery by 2.1%. Simulation results showed that logs with smaller diameters returned higher recovery increases when adopting an increased wane strategy compared to large-diameter logs. When combining both increased wane and random width strategies, the recoveries were the highest. Using a weighted average of log classes (according to a common log size distribution in South African sawmills) an increased wane strategy returned higher recovery (11.0%) than a random width strategy (2.0%), but a combined strategy (13.0%) was the most efficient. The gains in volume recovery presented in this study showed that it is worthwhile to consider the integration of engineered products manufacturing in primary log processing using random widths strategy combined with higher wane allowance. For better use of the raw material, the maximum wane that engineered products can allow without compromising its strength and stiffness must be further investigated.

Quasipolynomiality of the Smallest Missing Induced Subgraph

We study the problem of finding the smallest graph that does not occur as an induced subgraph of a given graph. This missing induced subgraph has at most logarithmic size and can be found by a brute-force search, in an $n$-vertex graph, in time $n^{O(\log n)}$. We show that under the Exponential Time Hypothesis this quasipolynomial time bound is optimal. We also consider variations of the problem in which either the missing subgraph or the given graph comes from a restricted graph family; for instance, we prove that the smallest missing planar induced subgraph of a given planar graph can be found in polynomial time.

SM2-DualRing: Efficient SM2-based ring signature schemes with logarithmic size

As an equivalent of a handwritten signature, digital signature can resist against information tampering and identity impersonation during digital communication, but it fails to meet the specific anonymity requirement in circumstances like voting, credit reporting, and whistle-blowing. Ring signature was introduced as a special digital signature to further achieve anonymity, and classical schemes constructed from single ring were faced with linearly increasing size. In CRYPTO 2021, Yuen et al. proposed a novel construction paradigm (namely, DualRing) for reaping logarithmic-sized ring signature. Existing DualRing-based ring signature schemes are based on its supported Type-T standard signature algorithms (Three-move type, e.g. Schnorr signature). In this paper, we are motivated to seek a SM2-based ring signature scheme upon the DualRing technology, among which the SM2 digital signature is widely adopted as an international standard but not with a Type-T architecture. Therefore, we first transform the SM2 digital signature into Type-T and integrate DualRing with the variant of the SM2 digital signature. After that, we prove the unforgeability and anonymity of our schemes, together with proposing optimized and linkable schemes. Finally, we put our schemes into practice to display their performance in communication and computation costs.

Zero-Knowledge Arguments for Lattice-Based Accumulators: Logarithmic-Size Ring Signatures and Group Signatures Without Trapdoors

An accumulator is a function that hashes a set of inputs into a short, constant-size string while preserving the ability to efficiently prove the inclusion of a specific input element in the hashed set. It has proved useful in the design of numerous privacy-enhancing protocols, in order to handle revocation or simply prove set membership. In the lattice setting, currently known instantiations of the primitive are based on Merkle trees, which do not interact well with zero-knowledge proofs. In order to efficiently prove the membership of some element in a zero-knowledge manner, the prover has to demonstrate knowledge of a hash chain without revealing it, which is not known to be efficiently possible under well-studied hardness assumptions. In this paper, we provide an efficient method of proving such statements using involved extensions of Stern’s protocol. Under the Small Integer Solution assumption, we provide zero-knowledge arguments showing possession of a hash chain. As an application, we describe new lattice-based group and ring signatures in the random oracle model. In particular, we obtain: (i) the first lattice-based ring signatures with logarithmic size in the cardinality of the ring and (ii) the first lattice-based group signature that does not require any GPV trapdoor and thus allows for a much more efficient choice of parameters.

An Efficient Multilayered Linkable Ring Signature Scheme With Logarithmic Size for Anonymous Payment in Vehicle-to-Grid Networks

Vehicle-to-Grid (V2G) networks are emerging as an outstanding technique for alleviating energy and environmental concerns. Whereas, malicious attackers thirst for private information from frequent electricity/service exchanges between electric vehicles (EVs) and smart grids (SG) in V2G networks. Several attempts have been made to use ring signatures to achieve privacy-preserving payment and ensure reliable services in V2G. Nevertheless, most of the existing ring signature-based payment proposals may still have numerous limitations in the V2G paradigm due to their heavy signature size. To address the aforementioned problem, we propose Emularis, an efficient multilayered linkable ring signature scheme with a logarithmic size. Specifically, we implement an anonymous payment scheme for V2G using Emularis. We then prove that Emularis guarantees security and privacy requirements through rigorous security analysis. Furthermore, our scheme significantly outperforms existing schemes in terms of communication and computation costs. Extensive experimental results indicate that our scheme is suitable for deployment in V2G security-related applications.

The sizes of life.

Recent research has revealed the diversity and biomass of life across ecosystems, but how that biomass is distributed across body sizes of all living things remains unclear. We compile the present-day global body size-biomass spectra for the terrestrial, marine, and subterranean realms. To achieve this compilation, we pair existing and updated biomass estimates with previously uncatalogued body size ranges across all free-living biological groups. These data show that many biological groups share similar ranges of body sizes, and no single group dominates size ranges where cumulative biomass is highest. We then propagate biomass and size uncertainties and provide statistical descriptions of body size-biomass spectra across and within major habitat realms. Power laws show exponentially decreasing abundance (exponent -0.9±0.02 S.D., R2 = 0.97) and nearly equal biomass (exponent 0.09±0.01, R2 = 0.56) across log size bins, which resemble previous aquatic size spectra results but with greater organismal inclusivity and global coverage. In contrast, a bimodal Gaussian mixture model describes the biomass pattern better (R2 = 0.86) and suggests small (~10-15 g) and large (~107 g) organisms outweigh other sizes by one order magnitude (15 and 65 Gt versus ~1 Gt per log size). The results suggest that the global body size-biomass relationships is bimodal, but substantial one-to-two orders-of-magnitude uncertainty mean that additional data will be needed to clarify whether global-scale universal constraints or local forces shape these patterns.

Economic Efficiency of Pine Wood Processing in Furniture Production

The wood industry faces challenges due to rising prices and limited wood availability, putting pressure on material efficiency in wood processing. This justifies the analysis of the relationship between efficiency and economy in pine wood processing. The study aimed to measure the impact of variations in the thickness of logs, changes in the technology of their further processing, and changes in prices of raw materials and products on the material efficiency in the context of large-scale production of furniture elements made of pinewood. The raw material input consisted of three categories of log sizes, from which the specialized purpose lumber was produced. The lumber was then processed into semi-finished furniture elements with three technologies: without detecting natural wood defects, with human detection, and with automatic detection. The study was conducted in Poland from 2020 to 2022. The material efficiencies in every stage of the analyzed wood processing and the cost efficiencies were calculated and analyzed based on the results obtained under real industrial conditions. The main findings are as follows: (1) when comparing the logs in the three tested diameter ranges (14–23 cm, 23–30 cm, and more than 30 cm), it can be observed that the overall material efficiency of sawing is in the range of 70%–85% and increases with the thickness of the log; (2) the share of 38 mm specialized sawn timber in the total amount of sawn timber was 41%–58% and increased with increasing log diameter; (3) the economic efficiency of the technological process is 170%–290%, based on the log size and the technology of further processing employed. The determining factor affecting cost efficiencies is unexpected changes in raw material prices and product demand in 2022. The findings suggest that while improvements in processing technology can boost efficiency, they cannot fully offset the rise in raw wood material prices.