Results 151 to 160 of about 983 (285)

Summary оf Eyler's Formula аnd Its Application

, 2017
Як відомо, підсумовуюча формула Ейлера застосовується в теорії чисел та аналізі різного типу властивостей цілих чисел. У статті розглянуто можливість застосування підсумовуючої формули Ейлера, як одного з важливих інструментів аналітичної теорії чисел ...
Мєльнікова О.Г., Mielnikova O.H.   +1 more
core  

The Euler Formula

, 2014
Diese Diplomarbeit beschäftigt sich mit den Beweisen der Eulerschen Polyederformel und der Anwendung der Formel in der Graphentheorie. Die vorliegende Arbeit ist in drei Abschnitte gegliedert. Den ersten Teil bildet die vorbereitende Theorie. Hier werden
Weißensteiner, Viktoria
core   +1 more source

Physical modeling and geometric shape simulation for one-dimensional flexible objects with cylindrical surface constraints. [PDF]

Sci Rep, 2023
Mei Y, Du H, Jiang Q, Xiong W.
europepmc   +1 more source

Enhancing Generalisation via Cascaded Inertia SGD With Learnt Hyperparameters

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT A central challenge in deep learning lies in achieving strong model generalisation, an area in which conventional optimisers such as stochastic gradient descent (SGD) often exhibit limitations, even though they ensure convergence. This paper introduces cascaded inertia SGD (CISGD), a novel optimisation algorithm specifically designed to ...
Yongji Guan, Shunbao Zhang, Longbang Wang, Erchao Li   +3 more
wiley   +1 more source

A Stereographic Representation of Euler's Formula to Show Spirals and Topological Similarities to Micro-Structures in Ruminants and Forages

This study suggests that the stereographic representation of Euler's formula and its conjugate complex in the combination with or without their phase shifts gives spirals showing topologocal similarities to micro-structures in ruminants and ...
イシワカ, レイコ, Nakano, Yutaka, Ohba, Noriko, Shao, Tao, ナカノ, ユタカ, ヤノ, ヤスカツ, トビサ, マナブ, Asano, Yoki, Shimojo, Masataka, 大場, 憲子, 石若, 礼子, シモジョウ, マサタカ, 中野, 豊, Yano, Yasukatsu, サトウ, ヒロユキ, Ishiwaka, Reiko, Tobisa, Manabu, オオバ, ノリコ, Matsuda, Yasuhira, アサノ, ヨウキ, 佐藤, 洋行, 池田, 堅太郎, 飛佐, 学, 下條, 雅敬, イケダ, ケンタロウ, 矢野, 保克, Ikeda, Kentaro, 浅野, 陽樹, Sato, Hiroyuki   +28 more
core  

Double‐Integration‐Enhanced Stochastic Gradient Descent Based on Neural Dynamics for Improving Generalisation

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Generalisation is a crucial aspect of deep learning, enabling models to perform well on unseen data. Currently, most optimisers that improve generalisation typically suffer from efficiency bottlenecks. This paper proposes a double‐integration‐enhanced stochastic gradient descent (DIESGD) optimiser, which treats the negative gradient as an ...
Ting Li, Longbang Wang, Jiexing Li, Jicheng Li   +3 more
wiley   +1 more source

Convergent Interval Confirmation for Three‐Step Discrete Specific Zeroing Neural Dynamics Illustrated With Repetitive Motion Planning of Redundant Manipulators

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Repetitive motion planning (RMP) for redundant manipulators with high convergent precision becomes an intense research topic due to its more degrees of freedom. In this paper, a specific zeroing neural dynamics (SZND) model for the RMP is first set up via zeroing neurodynamics.
Ying Kong, Shaoyuan Sun, Yunliang Jiang, Lin Wei   +3 more
wiley   +1 more source

Shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
For adaptive X‐ray optics on high‐performance beamline optical systems, we describe an approach to mirror figure and slope control using patterned, shaped electrodes to control the local curvature on a lithium niobate substrate from a single applied voltage. Longitudinally continuous electrode patterns achieve target shapes without discontinuities, and
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler   +2 more
wiley   +1 more source

The Consequences of Soil Organic Carbon for Crop Yield, Farm Productivity and Profit

Australian Journal of Agricultural and Resource Economics, EarlyView.
ABSTRACT Crop choices affect soil organic carbon (SOC) stocks, allowing farmers to manipulate the amount of carbon sequestered in the soil over time. This paper examines the private and public benefits of crop rotations that sequester additional carbon across the province of Saskatchewan, Canada using a novel field‐level dataset from the Saskatchewan ...
Devin Allen Serfas
wiley   +1 more source

Objectively Measured Maternal Supine Sleep and Fetal Growth: A Prospective Cohort Study

BJOG: An International Journal of Obstetrics &Gynaecology, EarlyView.
ABSTRACT Objective To explore the relationship between different definitions of objectively measured supine sleep position during late pregnancy and customised birthweight centile, as a marker of fetal wellbeing. Design Prospective cohort study. Setting Australian public hospital antenatal clinic.
Danielle L. Wilson, Dwayne L. Mann, Irene Szollosi, Leonie Callaway, Alka Kothari, Philip I. Terrill   +5 more
wiley   +1 more source