Commutative Quaternion Matrices

In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices. After that we investigate commutative quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of commutative quaternion matrices and give some of their properties

Leadership Theories and Comparison of Them

The objective of this term project was to distinguish leaders and managers and to compare the concepts of classical leadership and modern leadership.Styles of leadership that are vital for current businesses were investigated; differences in classical and modern management styles were presented, responsibilities of a leader for the concept of modern leadership were identified; and differences between a manager and a leader were introduced

Scrutinising The Production Of Space On The Example Of Regent Street and Painting A Modern Life By The Agencies Of Regency

The main aim of this is to analyse the production of space and how human and non-human entities function as space producers or devices. The scope of this study is the Regent Street from 1818 to 1848. This paper aims to answer the following question: could space be a product that we can produce or what other things involved in this production process? Numerous theorists contribute to the spatial analyses of this historical research. This paper puts special emphasis on the Lefebvrian spatial triad as a methodological decoder along with the Actor-Network Theory (ANT) to analyse the 19th century-Regent Street. The combination of the triad, as well as the ANT, will be deployed as an original tool to analyse spaces with their data; then they will be used to create a spatial map. To do so, visual and written sources will also be used as data to decode and re-map or re-paint the modern life of Regent Street during the Regency Period.

Köy Enstitüleri'nde sanat eğitimi ve Tonguç

Taha Toros Arşivi, Dosya No: 124-İsmail Hakkı TonguçUnutma İstanbul projesi İstanbul Kalkınma Ajansı'nın 2016 yılı "Yenilikçi ve Yaratıcı İstanbul Mali Destek Programı" kapsamında desteklenmiştir. Proje No: TR10/16/YNY/010

A Survey on Homomorphic Encryption Schemes: Theory and Implementation

Legacy encryption systems depend on sharing a key (public or private) among the peers involved in exchanging an encrypted message. However, this approach poses privacy concerns. Especially with popular cloud services, the control over the privacy of the sensitive data is lost. Even when the keys are not shared, the encrypted material is shared with a third party that does not necessarily need to access the content. Moreover, untrusted servers, providers, and cloud operators can keep identifying elements of users long after users end the relationship with the services. Indeed, Homomorphic Encryption (HE), a special kind of encryption scheme, can address these concerns as it allows any third party to operate on the encrypted data without decrypting it in advance. Although this extremely useful feature of the HE scheme has been known for over 30 years, the first plausible and achievable Fully Homomorphic Encryption (FHE) scheme, which allows any computable function to perform on the encrypted data, was introduced by Craig Gentry in 2009. Even though this was a major achievement, different implementations so far demonstrated that FHE still needs to be improved significantly to be practical on every platform. First, we present the basics of HE and the details of the well-known Partially Homomorphic Encryption (PHE) and Somewhat Homomorphic Encryption (SWHE), which are important pillars of achieving FHE. Then, the main FHE families, which have become the base for the other follow-up FHE schemes are presented. Furthermore, the implementations and recent improvements in Gentry-type FHE schemes are also surveyed. Finally, further research directions are discussed. This survey is intended to give a clear knowledge and foundation to researchers and practitioners interested in knowing, applying, as well as extending the state of the art HE, PHE, SWHE, and FHE systems.Comment: - Updated. (October 6, 2017) - This paper is an early draft of the survey that is being submitted to ACM CSUR and has been uploaded to arXiv for feedback from stakeholder