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تعفو الرياح على آثار القوافل في الصحراء فتمحوها، ويعفو البعد عن كتاب الله حقائق خالدةً في مناسك الحج السامية وقلائده العليَّة. قال تعالى: {الْحَجُّ أَشْهُرٌ مَّعْلُومَاتٌ..} وغدا الآن أياماً معدودات فَلِمَ؟!. لم أضحت المناسك وأركان الحج طقوساً غريبة لا مفهوم لها حتى تكاد أن تكون أساطير مروية. الآن أرسل الرحيمُ إلۤهنا العلَّامةَ العليم محمد أمين شيخو قدَّس الله سِرَّه فكشف اللثام بالحجة والبيان عن طيب عنصر المناسك والأركان بالنور بالقرآن فأحال دياجير الظُلَم إلى بدائع ...
قال رسول الله ﷺ: (كل عمل ابن آدم له إلا الصيام فإنه لي وأنا أجزي به) ويقول سبحانه وتعالى: {شَهْرُ رَمَضَانَ الَّذِيَ أُنزِلَ فِيهِ الْقُرْآنُ هُدًى لِّلنَّاسِ..}: لمَّا صام ﷺ صار له تعظيم لحضرة الله تعالى وتقدير فأُنزلت معاني الكتاب المقدَّس القرآن في نفسه الطاهرة الشريفة. إن صمت فيه حقّاً استنرتَ وشاهدت الحقَّ فميَّزت الخير من الشر، عندها تسمع كلام الخالق العظيم فتهتدي. {..وَبَيِّنَاتٍ مِّنَ الْهُدَى وَالْفُرْقَانِ..}: بقربك من الله تعالى يتبيَّن لك الخير من الشر. وه...
ما من أمةٍ طبَّقت منهاج الإلۤه بصدقٍ وحسن نيَّة، وسارت على هديهِ بالقرآن وحده، إلا سادت وتسامت وحقَّقت النجاح والفلاح وتفوَّقت على أمم الأرض كافة فَهيَّجت كومن طموحاتها لتقفو إثرها، وهكذا تسمو بالبشرية للسعادة والمحبة الشريفة الحقَّة ويسود السلام والأمن والأمان وتُتحف قلوب العباد بجنَّات النعيم قبل جنَّات الخلود وذلك أقصى المُنى. وما رُسِم منهاجٌ لدراسةٍ إلا للوصول إلى النجاح، وما حُيِّدَ المنهاج البشري المدرس عن نهج الإلۤه الخالق العظيم إلا مُنيَ بالفشل وسوء المنقلب با...
لا يمكن لذي لبٍّ أن يعتبر دعوة الدول الراقية لأبنائها أن تعالوا صبيحة كلّ يوم إلى هذا البناء... بناء أيّة مدرسة أنشأتها، عودوا بالوظائف تقيّدوا بما يكلّفكم به أساتذتكم ومعلّموكم من حفظ ووظائف وغيرها... هل يمكن اعتبار ذلك مجرّد أمرٍ قسري!. لا معنى ولا مردود له ولا مفهوم؟! لا...لا يمكن، فالمدارس بالدول الراقية ما قامت بذلك إلا لتمحو الجهل وتغذّيهم بالعلم مكانه؛ إذ تعلّمهم من السلوكيّات العامّة أصولها ومن الآداب والأخلاق ركائزها. إنّها تخلّقهم لتسمو بهم لقمم ما يصبو إليه ...
خلق الله تعالى الإنسان وأغدق عليه من فيض برّه ورحمته ،كريماً يُظهر كرمه على خلقه، يتذوّق الإنسان بدنياه فضله وإحسانه، إذ أخرجه تعالى إلى هذا الوجود وأودع في رأسه جوهرة ثمينة وأعني بها الفكر. جهاز المعرفة والوسيلة التي يتعرّف بها الإنسان إلى ربّه، ويكشف به حقائق أمور الحياة فيميّز بها خيره من شرّه، كل ذلك إن فكّر وآمن بربّه، إذ جعل تعالى بهذا الكون بصائر وعبر وآيات وأقربها إليه جسمه وما قام عليه من نظام بديع ... ولكن بعْثُ كوامن فكره يتمّ بالتفكير بنهايته وخروجه من دنياه...
Masterwork of a Divorce Braffis Spin is an artistic opaque autobiography of a divorce. The writing and content of Braffis Spin is totally clean, chaste, aesthetic and decent.The work addresses the impact of a dead marriage on an innocent mother. The author uses the vehicle of adventure to carry the consequence of a family breakdown after a long, happy, faithful (on both sides) marriage. The story begins with a celebration after which “Tide” is kidnapped. "Spin" endeavo...
A nimbus of azure light surrounded the glowing blue world of Paland. In orbit around Paland a crater filled Sewdapop shone brightly. Within Paland’s inner atmosphere the weather was frosty, the night clouds were silvery blue and the oxygen content in the air was negligible, but breathable. In stark contrast to Paland’s promising exterior, its red landforms were rocky, sandy and infertile. Deep canyons cut ragged scars into the surface of that dying world. Sand drifts ri...
Scientia Magna is published annually in 200-300 pages per volume and 1,000 copies on topics such as mathematics, physics, philosophy, psychology, sociology, and linguistics.
An identity involving the function ep(n) Abstract The main purpose of this paper is to study the relationship between the Riemann zeta-function and an in¯nite series involving the Smarandache function ep(n) by using the elementary method, and give an interesting identity. Keywords Riemann zeta-function, in¯nite series, identity. x1. Introduction and Results Let p be any fixed prime, n be any positive integer, ep(n) denotes the largest exponent of power p in n. Th...
A structure theorem of right C-rpp semigroups1 Abstract A new method of construction for right C-rpp semigroups is given by using a right cross product of a right regular band and a strong semilattice of left cancellative monoids. Keywords Right C-rpp semigroups, right cross products, right regular bands, left cancellative monoids. x1. Introduction Recall that a semigroup S is called an rpp semigroup if all its principal right ideals aS1, regarded as right S1-sy...
Abstract In this paper, we use 4-cyclotomic cosets of modulo n and generator polynomials to describe quaternary simple-root cyclic codes of length n = 85. We discuss the conditions under which a quaternary cyclic codes contain its dual, and obtain some quantum error-correcting codes of length n = 85, three of these codes are better than previous known codes. Keywords Quaternary cyclic code, self-orthogonal code, quantum error-correcting code. x1. Introduction Sinc...
This issue of the journal is devoted to the proceedings of the third International Conference on Number Theory and Smarandache Problems. The conference was a great success and will give a strong impact on the development of number theory in general and Smarandache problems in particular. In this volume we assemble not only those papers which were presented at the conference but also those papers which were submitted later and are concerned with the Smarandache type probl...
Abstract : Let k be any ¯xed positive integer, n be any positive integer, Sk(n) denotes the smallest positive integer m such that m! is divisible by kn: In this paper, we use the elementary methods to study the asymptotic properties of Sk(n), and give an interesting asymptotic formula for it. Keywords : F. Smarandache problem, primitive numbers, asymptotic formula.
Smarandache inversion sequence Abstract We study the Smarandache inversion sequence which is a new concept, related sequences, conjectures, properties, and problems. This study was conducted by using (Maple 8){a computer Algebra System. Keywords Smarandache inversion, Smarandache reverse sequence. Introduction In [1], C.Ashbacher, studied the Smarandache reverse sequence: 1; 21; 321; 4321; 54321; 654321; 7654321; 87654321; 987654321; 10987654321; 1110987654321; (1...
x3. Some Observations Some observations about the Pseudo-Smarandache Function are given below : Remark 3.1. Kashihara raised the following questions (see Problem 7 in [1]) : (1) Is there any integer n such that Z(n) > Z(n + 1) > Z(n + 2) > Z(n + 3)? (2) Is there any integer n such that Z(n) < Z(n + 1) < Z(n + 2) < Z(n + 3)? The following examples answer the questions in the affirmative:
In the volume we assemble not only those papers which were presented at the conference but also those papers which were submitted later and are concerned with the Smarandache type problems. There are a few papers which are not directly related to but should fall within the scope of Smarandache type problems. They are 1. L. Liu and W. Zhou, On conjectures about the class number of binary quadratic forms; 2. W. Liang, An identity for Stirling numbers of the second kind; 3....
On Algebraic Multi-Vector Spaces Abstract A Smarandache multi-space is a union of n spaces A1;A2;An with some additional conditions hold. Combining these Smarandache multi-spaces with linear vector spaces in classical linear algebra, the conception of multi-vector spaces is introduced. Some characteristics of multi-vector spaces are obtained in this paper. Keywords Vector, multi-space, multi-vector space, dimension of a space. x1. Introduction These multi-spaces was ...
x1. Introduction The study of Smarandache loops was initiated by W.B. Vasantha Kandasamy in 2002. In her book [19], she defined a Smarandache loop (S-loop) as a loop with at least a subloop which forms a subgroup under the binary operation of the loop. For more on loops and their properties, readers should check [16], [3], [5], [8], [9] and [19]. In her book, she introduced over 75 Smarandache concepts on loops. In her ¯rst paper [20], she introduced Smarandache : left(...
0. In 1999, the second author of this remarks published a book over 30 of Smarandache's problems in area of elementary number theory (see [1, 2]). After this, we worked over new 20 problems that we collected in our book [28]. These books contain Smarandache's problems, described in [10, 16]. The present paper contains some of the results from [28]. In [16] Florentin Smarandache formulated 105 unsolved problems, while in [10] C.Dumitresu and V. Seleacu formulated 140 unso...
The main purpose of this paper is using the elementary method to study the mean value properties of the Smarandache function, and give an interesting asymptotic formula.
x1. Introduction In reference [1], the Smarandache Sum of Composites Between Factors function SCBF(n) is defined as: The sum of composite numbers between the smallest prime factor of n and the largest prime factor of n. For example, SCBF(14)=10, since 2£7 = 14 and the sum of the composites between 2 and 7 is: 4 + 6 = 10. In reference [2]: A number n is called simple number if the product of its proper divisors is less than or equal to n. Let A denotes set of all simple ...
În anul 1972 Florentin Smarandache prezentase o ipoteză supraluminala (prin care susţinea că nu există barieră a vitezei în univers), infirmând postulatul einsteinian. Autorul l-a contrazis din nou pe Einstein în 1982 construind, prin calcule matematice simple, o Teorie Absolută a Relativităţii (T.A.R.), din care erau înlăturate fanteziile ştiinţifice din Teoria Specială a Relativităţii precum dilatare a timpului, contractare a spaţiului, simultaneitate relativistă, sau ...
„Neutrosofia” deschide uşi noi în matematică şi în fizică Florentin Smarandache, şef de promoţie al Facultăţii de Matematică din Craiova, nu este doar matematician, ci şi scriitor (poet, prozator, dramaturg), întemeietor al mişcării literare de avangardă numită de el „Paradoxism” (pentru că utilizează în mod programmatic paradoxuri, antiteze, oximoroane), editând şase antologii internaţionale paradoxiste. Are contribuţii şi în alte ştiinţe (filozofie şi fizică), baza...
We present in this course: the reproduction’s misprocess, the reproduction’s mistype, the material goods (and bads), the base inactivity and auxiliary inactivity, the system’s antistructure, the irresponsibility of a computer center, unstructured graphs, etc. Also, the disorganization’s structure, the principles of disorganization, the indecision making misprocess, the planning of unnecessary energy consummation, etc. The Reproduction’s misprocess is the connection which...
Disorganization’ structures The disorganization structures represent the mechanism formed of disorganization subdivisions to which there have been assigned competencies and responsibilities and amongst which there have been established the guidelines required for nonfunctionality and efficiency. In other words, the disorganization structure is the result of the modality in which various compartments and people as well as their relationships have been grouped and constit...
This book has four chapters. In chapter one we just recall the notion of RD codes, MRD codes, circulant rank codes and constant rank codes and describe their properties. In chapter two we introduce few new classes of codes and study some of their properties. In this chapter we introduce the notion of fuzzy RD codes and fuzzy RD bicodes. Rank distance m-codes are introduced in chapter three and the property of m-covering radius is analysed. Chapter four indicates some app...
DEFINITION 1.12: The ‘norm’ of a word v _ VN is defined as the ‘rank’ of v over GF(2) (By considering it as a circulant matrix over GF(2)). We denote the ‘norm’ of v by r(v). We just prove the following theorem. THEOREM 1.2: Suppose ____GF(2N) has the polynomial representation g(x) over GF(2) such that the gcd(g(x), xN +1) has degree N – k, where 0 _ k _ N. Then the ‘norm’ of the word generated by _ is ‘k’.
Chapter one is introductory in nature and chapter two uses vector spaces to build quasi set topological vector subspaces. Not only we use vector spaces but we also use S-vector spaces, set vector spaces, semigroup vector spaces and group vector spaces to build set topological vector subspaces. These also give several finite set topological spaces. Such study is carried out in chapters three and four.
To every quasi set topological vector subspace T relative to the set P F, we have a lattice associated with it we call this lattice as the Representative Quasi Set Topological Vector subspace lattice (RQTV-lattice) of T relative to P. When T is finite we have a nice representation of them. In case T is infinite we have a lattice which is of infinite order. We can in all cases give the atoms of the lattice which is in fact the basic set of T over P. It is pertinent ...