The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS

saad abood baddai

doi:10.21123/bsj.2020.17.1(Suppl.).0348

Details

Publication Date

Wed Mar 18 2020

Journal Name

Baghdad Science Journal

Volume

17

Issue Number

1(Suppl.)

DOI

10.21123/bsj.2020.17.1(Suppl.).0348

Choose Citation Style

Statistics

View publication

11

Statistics

The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS

Real quadratic fields

Fundamental units of real quadratic field

Integers of real quadratic field as sum of finite units.

saad abood baddai

...Show More Authors

In this paper we generalize Jacobsons results by proving that any integer in is a square-free integer), belong to . All units of are generated by the fundamental unit having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields into the sets Jacobsons results shows that and Sliwa confirm that and are the only real quadratic fields in .

View Publication Preview PDF

Quick Preview PDF

Publication Date

Tue Apr 01 2014

Journal Name

Journal Of Economics And Administrative Sciences

Design Consolidate Cost Accounting System For Economic Entities

Consolidated Accounting System

Industrial Project

Relevant Information

Decision-making

Design of Consolidated Costing System

نصيف جاسم

رجاء صادق

...Show More Authors

The Costing Accounting is one the analytic tools which plays important role by support the management in planning& control and decisions-making ,as it became attendant necessity to establish any project whether industrial ,commercial ,service or agriculture ..etc.

The consolidated accounting system has committed the companies to have their active costing system in which the management can obtain their own data, but we found most of the economic units face problems of applying the costing system because of reasons related to the system design itself or might be related to the requirements of the application success.

View Publication Preview PDF

Publication Date

Tue Jun 15 2021

Journal Name

Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)

Correlation between serum carnitine level and Soluble Receptors for Advance Glycation End Products(sRAGE) in Clomiphene Citrate Resistant- PCOS Women

Poly cystic ovarian syndrome

soluble receptor of advance glycation end products (sRAGE)

SerumTotal Carnitine .

Nabigh A

Shatha H

Fatin S.

...Show More Authors

The most frequently diagnosed condition in women at the age of reproduction is the polycystic ovarian syndrome (PCOS).it could be related to a complex endocrine condition, due to its heterogeneity and uncertainty about its etiology, as the clinical highlights of PCOS incorporate those related to reproductive signs such as decreased frequency of ovulation, irregular menstrual cycles, decreased fertility. Carnitine plays a substantial role in weight loss, glucose tolerance, insulin function and fatty acid metabolism. Thus carnitine plays a crucial role in controlling obesity, insulin resistance, oxidative stress that are associated with PCOS .While, AGEs are a diverse group of reactive molecules that are formed end

View Publication Preview PDF

(1)

Publication Date

Wed Mar 02 2022

Journal Name

Journal Of Educational And Psychological Researches

King Khalid University towards Strategies Compatible with Brain-Based Learning (BBL)

high-study students

curriculum and teaching methods

applicability

level of knowledge

brain-based learning

Ibrahim Ahmed Al-Farhan

...Show More Authors

The study aimed to reveal the level of knowledge and tendencies of high- study students specializing in curriculum and teaching methods at King Khalid University towards harmonious strategies with brain-based learning (BBL). And Then, putting a proposed concept to develop knowledge and tendencies of high-study students specializing in curriculum and teaching methods at King Khalid University towards harmonious strategies with Brain-based learning (BBL). For achieving this goal, a cognitive test and a scale of tendency were prepared to apply harmonious strategies with brain-based learning. The descriptive approach was used because it suits the goals of the study. The study sample consisted of (70) male and female students of postgraduate

View Publication Preview PDF

Publication Date

Sat May 31 2025

Journal Name

3rd International Scientific Conference For Human And Social Studies And Epistemological Challenges

Frankenstein Complex in Daniel H. Wilson's Robopocalypse ( ): Artificial Intelligence Conspiracies

With the advent of technology

the fear of losing control has consistently accompanied humanity. While humans have discovered

invented

and created many remarkable things

they have also been haunted by the possibility of their creations turning against them. This fear

often referred to as the Frankenstein Complex

derives its name from Mary Shelley's Frankenstein (􀀔􀀛􀀔􀀛)

in which Dr. Frankenstein's creation ultimately destroys its maker. The Frankenstein Complex embodies the subconscious fear of artificial intelligence (AI) surpassing and potentially dominating humankind. This apprehension has inspired numerous literary works

including Daniel H. Wilson’s novels. The present study examines the widespread fear of AI

which has fueled conspiracy theories in literature. These theories have not only amplified public anxiety but also hindered understanding among those with limited knowledge of AI and robotics. Dr. Wilson

a robotics expert

uses his imagination as a driving force for both his writing and his inventions. The research focuses on incidents leading to the rise of robots

the concept of the New War

how it was fought

and how it concluded. By comparing

contrasting

and analyzing literary elements and devices with prominent conspiracy theories

the study highlights the interplay between fiction and scientific development. The researchers conclude that while many conspiracy theories contain elements of truth

they often inspire scientists to explore them further. Additionally

some conspiracy theories warrant serious consideration. The study recommends acknowledging the Frankenstein Complex while maintaining faith in the potential benefits of artificial intelligence.

Ansam

Mayada

Zahraa

...Show More Authors

Publication Date

Sat Jan 01 2011

Journal Name

Journal Of Engineering

FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOELASTIC MATERIALS

Viscoelastic

Finite Element

Aging Effect

Incompressibility

Montadher A.

...Show More Authors

A numerical method (F.E.)was derived for incompressible viscoelastic materials, the aging and
environmental phenomena especially the temperature effect was considered in this method. A
treatment of incompressibility was made for all permissible values of poisons ratio. A
mechanical model represents the incompressible viscoelastic materials and so the properties can
be derived using the Laplace transformations technique .A comparison was made with the other
methods interested with viscoelastic materials by applying the method on a cylinder of viscoelastic material surrounding by a steel casing and subjected to a constant internal pressure, as well as a comparison with another viscoelastic method and for Asphalt Concrete pro

View Publication Preview PDF

Publication Date

Wed Feb 29 2012

Journal Name

Al-khwarizmi Engineering Journal

Natural Convection in Trapezoidal Enclosure Heated Partially from Below

Natural Convection

Trapezoidal Enclosure

Finite Volume

Ahmed W.

Ihsan Ali

...Show More Authors

Natural convection in a trapezoidal enclosure with partial heating from below and symmetrical cooling from the sides has been investigated numerically. The heating is simulated by a centrally located heat source on the bottom wall, and four different values of the dimensionless heat source length, 1/5, 2/5, 3/5, 4/5 are considered. The laminar flow field is analyzed numerically by solving the steady, two-dimensional incompressible Navier-Stokes and energy equations. The Cartesian velocity components and pressure on a collocated (non-staggered) grid are used as dependent variables in the momentum equations discretized by finite volume method; body fitted coordinates are used to represent the trapezoidal enclosure, and grid generatio

View Publication Preview PDF

Publication Date

Tue Mar 30 2021

Journal Name

College Of Islamic Sciences

Need and transgression in Surat (Abs) Semantic grammatical study: Need and transgression in Surat (Abs)

Praise be to God who blessed us with the grace of Islam

and set our tongues in the language of the Qur’an. The Arabic language is beautiful through its grammar and rules

and its meanings which are the spirit of grammar

and we allocate the element of Arabic speech

which is the verb and the phenomenon of necessity and transgression

one of the important phenomena in modern studies and received attention from ancient and modern scholars

and we called our research: (Obligatory and transgression in Surat Abbas

semantic grammatical study) . The research was divided into two sections: The first topic included: the necessary verbs in Surat (Abs) an applied study.

Satar jasm falh

...Show More Authors

The research aims to highlight the significance and composition and the diversity of meanings and the Quranic context in the necessary and transgressive verbs in Surat (Abs).

This research consists of : a preamble , and two studies . The researcher addressed in the preliminary the importance of the phenomenon of necessity and infringement, the signs of the necessary action , the structure and controls of the act , the methods of infringement , its sections and signs.

As for the first topic : The researcher addressed the necessary verbs in Surat Abs , an applied study in terms of grammati

View Publication Preview PDF

Publication Date

Sat Sep 30 2023

Journal Name

Iraqi Journal Of Chemical And Petroleum Engineering

Identifying Average Reservoir Pressure in Multilayered Oil Wells Using Selective Inflow Performance (SIP) Method

average reservoir pressure

multilayered reservoir

selective inflow performance

SIP

production logging tool

South of Iraq

Shamam

Dahlia A.

...Show More Authors

The downhole flow profiles of the wells with single production tubes and mixed flow from more than one layer can be complicated, making it challenging to obtain the average pressure of each layer independently. Production log data can be used to monitor the impacts of pressure depletion over time and to determine average pressure with the use of Selective Inflow Performance (SIP). The SIP technique provides a method of determining the steady state of inflow relationship for each individual layer. The well flows at different stabilized surface rates, and for each rate, a production log is run throughout the producing interval to record both downhole flow rates and flowing pressure. PVT data can be used to convert measured in-situ r

Preview PDF

Publication Date

Fri Jan 01 2016

Journal Name

Basrah Journal Of Science

Nearly Maximal Submodules

Maximal submodules

Almost maximal submodules

Nearly maximal submodules

Nearly Jacobson radical of modules

Semimaximal submodules.

د.

...Show More Authors

Preview PDF

Publication Date

Sun Jun 30 2024

Journal Name

Journal Of Interdisciplinary Mathematics

α–connected fibrewise topological spaces

Fiberwise topology

α-open set

α-connected fiberwise topological space

α-connectedness of fiberwise subspaces.

Y. Y.

Noor Allawyi

...Show More Authors

The theory of Topological Space Fiber is a new and essential branch of mathematics, less than three decades old, which is created in forced topologies. It was a very useful tool and played a central role in the theory of symmetry. Furthermore, interdependence is one of the main things considered in topology fiber theory. In this regard, we present the concept of topological spaces α associated with them and study the most important results.

View Publication

1 2 ... 2619 2620 2621 2622 ... 2626 2627