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Normal numbers with digit dependencies [article]

Christoph Aistleitner and Veronica Becher and Olivier Carton
2018 arXiv   pre-print
We quantify precisely how much digit dependence can be allowed such that, still, almost all real numbers are normal.  ...  Our theorem states that almost all real numbers are normal when at least slightly more than n consecutive digits with indices starting at position n are independent.  ...  This paper was initiated in November 2016 during the workshop "Normal Numbers: Arithmetic, Computational and Probabilistic Aspects" at the Erwin Schrödinger The authors are very grateful to the anonymous  ... 
arXiv:1804.02844v2 fatcat:sf7xcy5cerfdfks7m665naimxe

Multi-digit Position and Force Coordination in Three- and Four-Digit Grasping [chapter]

Abdeldjallil Naceri, Alessandro Moscatelli, Marco Santello, Marc O. Ernst
2014 Lecture Notes in Computer Science  
of digits normal force distribution that was controlled online depending on the number of digits actively involved in the grasp.  ...  Moreover, the distribution of digit normal forces were modulated depending on the number of digits used, their locations, and the type of the external perturbations.  ...  In addition, digit normal force responses were modulated depending on their location and the number of digit used in the grasping task.  ... 
doi:10.1007/978-3-662-44193-0_14 fatcat:to62rf6ki5gxxmlmfw3fxr6dui

Page 426 of Journal of the Association for Computing Machinery Vol. 6, Issue 3 [page]

1959 Journal of the Association for Computing Machinery  
thought de- sirable to compute with numbers in normalized form but associate with each an “index”’ giving the value of r.  ...  As mentioned earlier, all of the significant digit operations except for sub- traction behave very similarly to the corresponding normalized ones, with respect to a reference point specified by one of  ... 

New Normal Digital Marketing (Instagram) Effect on Purchase Intention (Case Study in Wingstop Restaurant)

2021 European Journal of Business and Management  
The influence of digital marketing strategies is certainly not far from the use of the internet and social media. Because this one application is often used by people during this new normal era.  ...  For the data analysis process using simple regression analysis, the coefficient of determination with social media marketing as variable x (independent) and purchase intention as variable y (dependent)  ...  In this study, the population is the number of Instagram followers from the Wingstop restaurant social media account. With a known number of followers, there are 114,000 followers.  ... 
doi:10.7176/ejbm/13-21-06 fatcat:6pamchptqveljiblgwb7xvfjtu

Normal and pseudonormal numbers [article]

Nicolò Cangiotti, Daniele Taufer
2022 arXiv   pre-print
In this setting, we provide two probabilistic characterizations of normality based on the stochastic independence of their digits.  ...  Finally, we define the pseudonormality condition, which is satisfied by normal numbers and may be evaluated in a finite number of steps.  ...  A Borel number ω ∈ R is b-pseudonormal if the probability of the b-digits appearing in ∆ i,j b (ω) only depends on δ = |i − j| and are given by Remark 4 . 10 . 410 From Definition 4.8 we notice that  ... 
arXiv:2102.05925v3 fatcat:dalmssuimzfrxihxgglf47fmeu

Uncoupling Sonic Hedgehog Control of Pattern and Expansion of the Developing Limb Bud

Jianjian Zhu, Eiichiro Nakamura, Minh-Thanh Nguyen, Xiaozhong Bao, Haruhiko Akiyama, Susan Mackem
2008 Developmental Cell  
How Shh's effects on cell number relate to its role in specifying digit identity is unclear.  ...  Our analysis reveals an unexpected alternating anterior-posterior sequence of normal mammalian digit formation.  ...  The progressive loss of cells and of consequent digit number, with preserved identities of the remaining digits, together with digit loss in the reverse order that normal digit primordia condense, are  ... 
doi:10.1016/j.devcel.2008.01.008 pmid:18410737 pmcid:PMC8284562 fatcat:zvrvnnk3sjhsfdtpncusnht5s4

Computer Arithmetic Algorithms for Mega-Digit Floating Point Numbers' Precision

Musbah J. Aqel, Mohammed H. Saleh
2007 Journal of Computer Science  
However, these algorithms provide an optional range of required accuracy (Mega-Digit precision) to meet new computer's applications.  ...  IEEE standard 754 floating point is the most common representation used for floating point numbers, and many computer arithmetic algorithms are developed for basic operations on this standard.  ...  It will be placed in the position equal to its original digits position in the two numbers (i.e.: number of digits in the first number plus number of digits in the second number.  ... 
doi:10.3844/jcssp.2007.104.106 fatcat:egacmaebm5dy7lz2vkfdpifrjm

One-dimensional representation of two-dimensional information for HMM based handwriting recognition

N. Arica, F.T. Yarman-Vural
2000 Pattern Recognition Letters  
The normalization parameters, which maximize the recognition rate, are dynamically estimated in the training stage of HMM.  ...  It provides a consistent normalization among distinct classes of shapes, which is very convenient for HMM based shape recognition schemes.  ...  Then, in the recognition stage, the remaining data is recognized with a rate of 97.9%. (a) SD3 Digit with 4 Regions. (b) SD3 Digit with 5 Regions. (c) SD3 Digit with 6 Regions.  ... 
doi:10.1016/s0167-8655(00)00023-4 fatcat:7y2ip6nryjbinnlw76dbsv3deq

Normals estimation for digital surfaces based on convolutions

Sébastien Fourey, Rémy Malgouyres
2009 Computers & graphics  
The number of iterations required to achieve a good estimate is determined experimentally on digitized spheres and tori.  ...  The precision of the normal estimation is also investigated according to the digitization step.  ...  Optimal average angular error and standard deviation depending on the sphere radius in voxels. Fig. 5 . 5 Normal estimation on digitized spheres.  ... 
doi:10.1016/j.cag.2008.11.003 fatcat:vfs3rxadxbhadpbpxtvhpanlgi

Note on normal decimals

H. Davenport, P. Erdős
1952 Canadian Journal of Mathematics - Journal Canadien de Mathematiques  
normal (in the scale of 10) if every combination of digits occurs in the decimal with the proper frequency .  ...  is the number of digits in q .  ... 
doi:10.4153/cjm-1952-005-3 fatcat:u3c2pfdikna5vbqf232qrd7ggm

Vedivision – A Fast Bcd Division Algorithm Facilitated by Vedic Mathematics

Diganta Sengupta, Mahamuda Sultana, Atal Chaudhuri
2013 International Journal of Computer Science & Information Technology (IJCSIT)  
It has also been observed that the algorithm in concern exhibits remarkable results when executed on traditional mid range processors with numbers having size up to 15 digits (50 bits).  ...  The present form of the algorithm can divide numbers having 38 digits (127 bits) which can be further enhanced by simple modifications.  ...  ACKNOWLEDGEMENTS We would like to thank the Department of Computer Science and Engineering, Jadavpur University, for providing us with all the facilities demanded by the research work.  ... 
doi:10.5121/ijcsit.2013.5405 fatcat:gon6uvrjjrabpbrn6xuppuwbqm

Adjustments to Local Friction in Multifinger Prehension

Tomoko Aoki, Mark L. Latash, Vladimir M. Zatsiorsky
2007 Journal of Motor Behavior  
Normal forces of the thumb and virtual finger (VF), an imagined finger with a mechanical effect equal to that of the 4 fingers, increased with the thumb at LFC or with an increase in the number of fingers  ...  The authors changed lowfriction contact (LFC) with rayon and high-friction contact (HFC) with sandpaper independently for each digit in all 32 possible combinations.  ...  Whereas the thumb and VF normal forces depended on the number of fingers at LFC, one-way repeated measures ANOVAs revealed that the forces did not depend on how exactly the HFC and LFC were distributed  ... 
doi:10.3200/jmbr.39.4.276-290 pmid:17664170 pmcid:PMC2827032 fatcat:4r3fjrequzevtapgomykmv7ttm

Dataset of focus prosody in Japanese phone numbers

Yong-cheol Lee, Satoshi Nambu, Sunghye Cho
2019 Data in Brief  
The data in this article present position-dependent variation of focus prosody within phone number strings in Tokyo Japanese.  ...  Four acoustic parameters (duration, mean intensity, maximum pitch, and time-normalized pitch contours) are reported to illustrate focus prosody of Japanese phone numbers, separately for broad focus and  ...  Fig. 1 . 1 Time-normalized pitch contours of the bipodic template with ten-digit phone number strings in Tokyo Japanese.  ... 
doi:10.1016/j.dib.2019.104139 pmid:31334312 pmcid:PMC6614727 fatcat:n3m6crfoszdffmc3agxfgbjtuq

Benford distributions in NMR [article]

Gaurav Bhole, Abhishek Shukla, T. S. Mahesh
2014 arXiv   pre-print
We also studied the dependence of Benford distribution on NMR parameters such as signal to noise ratio, number of scans, pulse angles, and apodization.  ...  Although counter intuitive at the first sight, it predicts a higher occurrence of digit 1, and decreasing occurrences to other larger digits.  ...  Dependence on signal to noise ratio To study the dependence of BGP on signal to noise ratio (SNR), we recorded different signals with varying number of scans separately on two liquid-state samples (i)  ... 
arXiv:1406.7077v1 fatcat:azmuhrys65bsbd7dptkwmli6pe

Computable Absolutely Normal Numbers and Discrepancies [article]

Adrian-Maria Scheerer
2016 arXiv   pre-print
We analyze algorithms that output absolutely normal numbers digit-by-digit with respect to quality of convergence to normality of the output, measured by the discrepancy.  ...  We consider explicit variants of algorithms by Sierpinski, by Turing and an adaption of constructive work on normal numbers by Schmidt.  ...  However, there are a number of algorithms that output an absolutely normal number digit-by-digit.  ... 
arXiv:1511.03582v2 fatcat:7c3i5bxyqrdvhlvqfanl2jgxum
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