Computation Formula for the Probability of an Event Happening at Least C Times in N Trials

1913 ◽  
Vol 20 (6) ◽  
pp. 190 ◽  
Author(s):  
E. C. Molina
Keyword(s):  
Computation Formula

scholarly journals On the Recurrence Properties of Narayana’s Cows Sequence

Symmetry ◽  
2021 ◽  
Vol 13 (1) ◽  
pp. 149
Author(s):  
Xin Lin
Keyword(s):  
Linear Combination ◽  
The Other ◽  
Other Hand ◽  
Computation Formula ◽  
The One

In this paper, we consider the recurrence properties of two generalized forms of Narayana’s cows sequence. On the one hand, we study Narayana’s cows sequence at negative indices and express it as the linear combination of the sequence at positive indices. On the other hand, we study the convolved Narayana number and obtain a computation formula for it.

Estimates of the topological degree of a class of piecewise linear maps with applications

2021 ◽  
pp. 2150073
Author(s):  
Laura Poggiolini ◽  
Marco Spadini
Keyword(s):  
Topological Degree ◽  
Piecewise Linear ◽  
Nonlinear Problems ◽  
Text Structure ◽  
Linear Maps ◽  
Piecewise Linear Maps ◽  
Classical Integral ◽  
Computation Formula

We provide some new estimates for the topological degree of a class of continuous and piecewise linear maps based on a classical integral computation formula. We provide applications to some nonlinear problems that exhibit a local [Formula: see text] structure.

A Hierarchical Case-Based Reasoning System for Quality Design

2010 ◽  
Vol 20-23 ◽  
pp. 1015-1020
Author(s):  
Cai Yan Liu ◽  
You Fa Sun
Keyword(s):  
High Efficiency ◽  
Low Cost ◽  
Case Based Reasoning ◽  
Retrieval Accuracy ◽  
Reasoning System ◽  
Quality Specifications ◽  
Computation Formula ◽  
Quality Design ◽  
Similarity Computation ◽  
Case Based

Quality design means designing quality specifications and processing specifications of products with low cost and high efficiency. This paper presents a hierarchical case-based reasoning approach for quality design. The structure and expression of case-base, the hierarchical case retrieval algorithms and similarity computation formula between cases are all studied. Such a hierarchical case-based reasoning method will greatly improve the retrieval accuracy and efficiency.

scholarly journals Privacy-Preserved Approximate Classification Based on Homomorphic Encryption

2019 ◽  
Vol 24 (4) ◽  
pp. 92 ◽  
Author(s):  
Xiaodong Xiao ◽  
Ting Wu ◽  
Yuanfang Chen ◽  
Xingyue Fan
Keyword(s):  
Time Complexity ◽  
Homomorphic Encryption ◽  
Classification Problem ◽  
Sensitive Information ◽  
Cloud Infrastructure ◽  
Crucial Issue ◽  
Computational Overhead ◽  
Computation Formula ◽  
Online Prediction ◽  
Real World Problems

Privacy is a crucial issue for outsourcing computation, which means that clients utilize cloud infrastructure to perform online prediction without disclosing sensitive information. Homomorphic encryption (HE) is one of the promising cryptographic tools resolving privacy issue in this scenario. However, a bottleneck in application of HE is relatively high computational overhead. In this paper, we study the privacy-preserving classification problem. To this end, we propose a novel privacy-preserved approximate classification algorithm. It exploits a set of decision trees to reduce computational complexity during homomorphic evaluation computation formula, the time complexity of evaluating a polynomial is degraded from O n to O log n . As a result, for an MNIST dataset, the Micro- f 1 score of the proposed algorithm is 0 . 882 , compared with 0 . 912 of the standard method. For the Credit dataset, the algorithm achieves 0 . 601 compared with 0 . 613 of the method. These results show that our algorithm is feasible and practical in real world problems.

scholarly journals Fidelity-based unitary operation-induced quantum correlation for continuous-variable systems

2019 ◽  
Vol 17 (04) ◽  
pp. 1950035
Author(s):  
Liang Liu ◽  
Xiaofei Qi ◽  
Jinchuan Hou
Keyword(s):  
Quantum Correlation ◽  
Quantum Correlations ◽  
Continuous Variable ◽  
Gaussian Channel ◽  
Simple Computation ◽  
Gaussian States ◽  
Text Mode ◽  
Computation Formula ◽  
Geometric Measurement ◽  
Thermal States

We propose a measure of nonclassical correlation [Formula: see text] in terms of local Gaussian unitary operations based on square of the fidelity [Formula: see text] for bipartite continuous-variable systems. This quantity is easier to be calculated or estimated and is a remedy for the local ancilla problem associated with the geometric measurement-induced nonlocality. A simple computation formula of [Formula: see text] for any [Formula: see text]-mode Gaussian states is presented and an estimation of [Formula: see text] for any [Formula: see text]-mode Gaussian states is given. For any [Formula: see text]-mode Gaussian states, [Formula: see text] does not increase after performing a local Gaussian channel on the unmeasured subsystem. Comparing [Formula: see text] in scale with other quantum correlations such as Gaussian geometric discord for two-mode symmetric squeezed thermal states reveals that [Formula: see text] is much better in detecting quantum correlations of Gaussian states.

Analysis of the Dynamic Causes of Collapse Accident of Formwork Support and Countermeasure Research

2014 ◽  
Vol 488-489 ◽  
pp. 441-444
Author(s):  
Xiao Yan Jiang
Keyword(s):  
Dynamic Coefficient ◽  
Dynamic Impact ◽  
Countermeasure Research ◽  
Dynamic Computation ◽  
Impact Coefficient ◽  
Computation Formula ◽  
Free Falling

The causes of collapse accident of formwork are analyzed, and the concepts for dynamic computation formula and dynamic coefficient are proposed; the dynamic impact coefficient of two different free falling bodies during safety computation of formwork support without considering or incorporating cross bar, and the countermeasures for safety computation are proposed.

The Analysis for the Leaking Flowrate in the Plane Valveplate

2014 ◽  
Vol 610 ◽  
pp. 46-51 ◽  
Author(s):  
Jie Wei ◽  
Chun Yang Shan
Keyword(s):  
Flow Field ◽  
Boundary Conditions ◽  
Fem Simulation ◽  
The Other ◽  
Math Model ◽  
Computation Result ◽  
The Press ◽  
Computation Formula ◽  
The Common ◽  
Flow Inertia

A new computation for the leaking flowrate in the plane valveplate sector of the pistons pump considering the influence of the flow inertia is proposed. Establish the theoretical math model about the flow field, based in the N-S equation and the sequence equation, and the leaking flowrate in the plane valveplate sector considering the influence of the flow inertia is computed in the boundary conditions of the press and the velocity. It is not the same as the common formula that the leaking flowrate computation formula established in this paper includes the factor of the flow inertia in the plane valveplate sector, which can reflect the influence of the flow inertia. The theory computation is checked by the FEM simulation. The theory computation result is approximate with the simulation result. The computing results indicate that the leaking flowrate of the plane valveplate sector increases when the press and the height of the seam increase, just as the other conditions are the same. And the flow inertia leads to the increase of the leaking flowrate, the influence is obvious in some conditions.

A Direct Comparison of the Predictive Capabilities of Two Cloze-Derived Readability Formulas

1975 ◽  
Vol 37 (3_suppl) ◽  
pp. 1207-1211 ◽  
Author(s):  
Lawrence R. Miller
Keyword(s):  
Reading Comprehension ◽  
Machine Computation ◽  
Validity Coefficient ◽  
Comprehension Test ◽  
Computation Formula ◽  
Comprehension Tests ◽  
Readability Formulas ◽  
Reading Comprehension Tests

Two Cloze-derived readability equations were cross-validated on three Cloze reading comprehension tests to determine if they differed significantly in their predictive capabilities. The equations were Coleman's Formula 4 and Bormuth's Machine Computation Formula; the tests were the 1969 Bormuth Cloze Reading Comprehension Test and the 1967 Miller-Coleman Readability Scale (600 response and 2400 response conditions). Results indicated that: each formula's scores correlated significantly with reader scores on each test ( p < .001); each formula generated statistically equivalent coefficients on the Miller-Coleman 600 response and 2400 response tests ( p > .05); the Bormuth formula generated a significantly higher validity coefficient on the Bormuth test than the Coleman formula did ( p < .001).

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