A Relationship Between the Factor Indivisibility and the Output Elasticity of the Indivisible Factor

2021 ◽  
pp. 232102222098516
Author(s):  
Dipankar Das

The paper puts forth a notion and derives a special type of production function where labour is an indivisible factor and is in the integer space. Thus, Newtonian calculus is not an appropriate method of deriving the marginal value because limit point does not exist. This shows that indivisibility determines the output elasticity. In the first part, the paper propounds a notion regarding how indivisibility determines curvature of the production function. In the second part, the paper incorporates the findings within a production function and derives a new type accordingly. Moreover, it formally derives the standard wage equation considering all the entitlements of labour, namely (a) normal wages, (b) interest and (c) rent of ability. So far, no such mathematical proof is there to support this wage composition. This paper, for the first time, derives this wage equation considering indivisibility of labour. JEL Classifications: J23, J24, J31, D24, C61, E24, L8

2010 ◽  
Vol 192 (22) ◽  
pp. 5866-5873 ◽  
Author(s):  
Hsu-Yuan Fu ◽  
Yu-Cheng Lin ◽  
Yung-Ning Chang ◽  
Hsiaochu Tseng ◽  
Ching-Che Huang ◽  
...  

ABSTRACT Microbial rhodopsins, a diverse group of photoactive proteins found in Archaea, Bacteria, and Eukarya, function in photosensing and photoenergy harvesting and may have been present in the resource-limited early global environment. Four different physiological functions have been identified and characterized for nearly 5,000 retinal-binding photoreceptors, these being ion transporters that transport proton or chloride and sensory rhodopsins that mediate light-attractant and/or -repellent responses. The greatest number of rhodopsins previously observed in a single archaeon had been four. Here, we report a newly discovered six-rhodopsin system in a single archaeon, Haloarcula marismortui, which shows a more diverse absorbance spectral distribution than any previously known rhodopsin system, and, for the first time, two light-driven proton transporters that respond to the same wavelength. All six rhodopsins, the greatest number ever identified in a single archaeon, were first shown to be expressed in H. marismortui, and these were then overexpressed in Escherichia coli. The proteins were purified for absorption spectra and photocycle determination, followed by measurement of ion transportation and phototaxis. The results clearly indicate the existence of a proton transporter system with two isochromatic rhodopsins and a new type of sensory rhodopsin-like transducer in H. marismortui.


2010 ◽  
Vol 97-101 ◽  
pp. 64-68
Author(s):  
Jian Chen ◽  
Jin Wang ◽  
Guo Dong Lu ◽  
Zheng Qi Ling

High- precision and large scale are the developing trend for injection molding machine clamping system .This paper compared the characteristics of three-platen toggle and dual-platen hydraulic clamping system. The key impact factors that effecting plastic parts` precision from clamping system were discussed systematically first time. Based on these analyses, a new clamping system has been proposed and manufactured to improve the plastics parts` precision, including three new technologies: new type dual-platen structure, parallelism adaptive correction technology and numerical controlled hydraulic servo system technology. It has been applied in practical machine successfully, and experiment result proves that it is effective enough to satisfying the high-precision molding of large plastics parts.


1968 ◽  
Vol 9 (1) ◽  
pp. 119-146 ◽  
Author(s):  
J. M. Lonsdale

This paper attempts to provide a frame of reference for evaluating the role of ordinary rural Africans in national movements, in the belief that scholarly preoccupation with élites will only partially illumine the mainsprings of nationalism. Kenya has been taken as the main field of enquiry, with contrasts and comparisons drawn from Uganda and Tanganyika. The processes of social change are discussed with a view to establishing that by the end of the colonial period one can talk of peasants rather than tribesmen in some of the more progressive areas. This change entailed a decline in the leadership functions of tribal chiefs who were also the official agents of colonial rule, but did not necessarily mean the firm establishment of a new type of rural leadership. The central part of the paper is taken up with an account of the competition between these older and newer leaderships, for official recognition rather than a mass following. A popular following was one of the conditions for such recognition, but neither really achieved this prior to 1945 except in Kikuyuland, and there the newer leaders did not want official recognition. After 1945 the newer leadership, comprising especially traders and officials of marketing co-operatives, seems everywhere to have won a properly representative position, due mainly to the enforced agrarian changes which brought the peasant face to face with the central government, perhaps for the first time. This confrontation, together with the experience of failure in earlier and more local political activity, resulted in a national revolution coalescing from below, co-ordinated rather than instigated by the educated élite.


2021 ◽  
Vol 9 (SPE2) ◽  
Author(s):  
Svetlana Strokina ◽  
Lenie Taymazova ◽  
Elvina Useinova ◽  
Ruslan Adonin

1922-1924 was a fruitful period of Maxim Gorky's literature work. It is related to searching a new art form. The cycle “Stories of 1922-1924” is an expressive example of “new prose”. For the first time, the hermit character appeared in the cycle “Stories of 1922-1924”. From the point of view of generally recognized morality and the Church, the new type of character is ambiguous. It is characterized by both sinfulness and holiness.


2018 ◽  
Vol 64 (2) ◽  
pp. 127-135
Author(s):  
Gazi M. Hassan ◽  
Shamim Shakur

Abstract This article estimates the externality effects of remittances in a sample of Asian countries. According to Romer (1986) externality generated by education sector can raise nationwide productivity. Because a significant portion of remittances income is invested on education, remittances stock can also generate such externalities. Using a Romer type production function and with the aid of panel cointegration technique applied to the data, we find evidence in favour of a highly significant externality effects of remittances, although these estimates are small in magnitude. JEL classifications: F24; F43; O11; O15 Keywords: Remittances; Externality Effects; Endogenous Growth; Panel Cointegration, group-mean panel dynamic OLS


Nanoscale ◽  
2014 ◽  
Vol 6 (5) ◽  
pp. 2855-2860 ◽  
Author(s):  
Haibo Wang ◽  
Wei Lu ◽  
Tianmei Zeng ◽  
Zhigao Yi ◽  
Ling Rao ◽  
...  

A new type of multi-functional NaErF4 nanoprobe with enhanced red upconversion emission was developed and used for in vitro cell, in vivo X-ray and T2-weighted magnetic resonance imaging for the first time.


Synthesis ◽  
2020 ◽  
Vol 52 (22) ◽  
pp. 3427-3438
Author(s):  
Valery A. Ozeryanskii ◽  
Ekaterina V. Kolupaeva ◽  
Alexander F. Pozharskii

The reaction of 1-dimethylamino-8-(methylamino)naphthalene with 1,3-dibromopropane chemoselectively leads to the product of N,N′-heterocyclization, while in the case of 1,4-dibromobutane and 1,2-bis(bromomethyl)benzene the process results in heterocyclization onto the same nitrogen atom with the formation of previously unknown 1-dimethylamino-8-pyrrolidino- and 1-dimethylamino-8-isoindolino-naphthalenes. The same reactions conducted without adding any auxiliary base lead to the formation of N,N′-linked double proton sponges as a new type of polynitrogen organic receptor. Proceeding as a sequence of quaternization–demethylation–cyclization steps, this heterocyclization process can also be used to construct six-membered rings (piperidino, morpholino), albeit in lower yields. The ability of 1,2-dibromoethane to brominate N-alkylated 1,8-diaminonaphthalenes is also described. It is shown for the first time that a commercially available 1,8-bis(dimethylamino)naphthalene (DMAN) can be used as a starting material in a heterocyclization reaction, which via a one-pot approach and in a short time can be converted into 1,5-dimethylnaphtho[1,8-bc]-1,5-diazacyclooctane or 1-dimethylamino-8-(pyrrolidin-1-yl)naphthalene.


Author(s):  
Jie Zhou ◽  
Ying Cao ◽  
Xuguang Wang ◽  
Peng Li ◽  
Wei Xu

Neural machine translation (NMT) aims at solving machine translation (MT) problems using neural networks and has exhibited promising results in recent years. However, most of the existing NMT models are shallow and there is still a performance gap between a single NMT model and the best conventional MT system. In this work, we introduce a new type of linear connections, named fast-forward connections, based on deep Long Short-Term Memory (LSTM) networks, and an interleaved bi-directional architecture for stacking the LSTM layers. Fast-forward connections play an essential role in propagating the gradients and building a deep topology of depth 16. On the WMT’14 English-to-French task, we achieve BLEU=37.7 with a single attention model, which outperforms the corresponding single shallow model by 6.2 BLEU points. This is the first time that a single NMT model achieves state-of-the-art performance and outperforms the best conventional model by 0.7 BLEU points. We can still achieve BLEU=36.3 even without using an attention mechanism. After special handling of unknown words and model ensembling, we obtain the best score reported to date on this task with BLEU=40.4. Our models are also validated on the more difficult WMT’14 English-to-German task.


2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Xiangying Wang

The rigid-drainage pile, designed to accelerate the dissipation of excess pore water pressure around the pile, is a new type of pile that combines the bearing capacity of ordinary rigid piles and the draining capacity of gravel piles. Field tests of these new piles were performed for the first time at a construction site in the new campus of Jiangyin No. 1 High School. Numerous parameters were observed for the test piles in many trials, including the excess pore water pressures, horizontal soil pressures, and displacements. At the measuring position at 0.6 m from the pile center, the rigid-drainage pile dissipates 70% of the peak excess pore water pressure in 1000 s, whereas the ordinary pile requires nearly 4000 s to dissipate the identical amplitude. The field test results clearly demonstrate that the rigid-drainage pile can reduce the amplitude of the peak pressure caused by piling in the liquefiable layer, quickly dissipate the excess pore water pressure, reduce the loss of effective stress in the soil surrounding the pile, and maintain the foundation stability.


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