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Mathematics


The category of mathematics are works on the abstract study of subjects encompassing quantity, structure, space, change, and more; it has no generally accepted definition.

 
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O Na Mole E Ke Anahonua (About the Roots of Geometry)

By: A. M. Legendre

1. O ke Anahonua ka mea e i ike ai ke ano o na mea i hoopalahaiahaia, oia na kaha, a me na ili, a me na paa. Ekolu mau ano o na mea i hoopalahaiahaia, he loa, he laula, a he manoanoa. 2. O ke kaha ; he loa wale no ko ke kaha; aole laula, aole manoanoa. O na welau o ke kaha he mau kiko ia: nolaila, o ke kiko, aole ona loa, aole laula, aole manoanoa, aka he wahi e ku wale ai no. 3. O ke kaha pololei ka loa pokole mai kekahi kiko a i kekahi kiko. 4. O ke kaha pololei o...

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Na Haawina Mua O Ka Hoailona Helu (First Lessons in Algebra)

By: Lahainaluna

Kuai kekahi keiki i ka ohia a me ka alani i na keneta he 12, no ia mau mea. Ua oi pakolu hoi na keneta o ka alani imua o ko ka ohia. Ehia na keneta o kela a o keia? E kau iho i ka w i hoailona no na keneta o ka ohia. A o ka w ke kumukuai i ka ohia, a he pakolu ko ka alani i ko ka ohia; nolaila, he mau w ekolu ke kumukuai i ka alani. He w hookahi ko ka ohia, a he akolu mau w ko ka alani, ina e huia lakou, he mau w eha o ka huina. Aka, he 12 na keneta i lilo no ia m...

Ua oi pa 4 aku na makahiki o Ioane imua o ko Iakobo; a o ka huina o ko laua mau. makahiki, he 20 ia. Ehia na makahiki o kela, o keia? E hoailona i na makahiki o Iakobo i ka w, no ka mea, he pa 4 na makahiki o Ioane i ko Iakobo, 4 mau w ka hoailona o kona mau makahiki. Nolaila, hookahi w a me 4 w, oia no 5 w ka huina o ko laua mau makahiki. Aka, he 20 ka huina o ko laua mau makahiki; nolaila, ua like 5 w me ka 20, a o ka w hookahi me ka hapa 5 o ka 20, oia na makahik...

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He Huinahelu (A Combined Arithmetic)

By: George Leonard

This volume contains basic mathematics (in Hawaiian). It teaches you the numbers in Hawaiian up to one hundred and also basio useful mathematics.

Ehia kahi iloko o ka 10? He 10 a me na kahi ehia iloko o ka 12? He 10 a me na kahi ehia iloko o ka 13? 14? 16? 19? 15? 18? 17? 11? Ehia na umi iloko o ka 20? iloko o ke 30? 40? 60? 80? 60? 70? 50? 90? 100? Ehia na umi a me na kahi iloko o ka 21? iloko o ka 23? 28? 26? 32? 35? 37? 44? 49? 41? 53? 57? 62? 65? 68? 71? 76? 99? 85? 87? 88? 92? 94? 99? He umi a me 1, heaha ia? 10 me 3? 10 me 7? 10 me 9? 2 umi? 2 umi me 1? 2 umi me 5? 2 umi me 7? 3 umi? 3 umi me 2? 3 umi me ...

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He Helu Kamalii (A Child's Arithmetic)

By: Wiliama Fowle

This volume teaches you children's basic arithmetic in Hawaiian.

No ka hana ana i keia Helu, e ahu no ke kumu i mau hua poepoe he kanaha a keu paha i mea heluia; pela no kela keiki keia keiki e ahu no lakou i na hua like. A like me ka hana ana a ke kumu, pela hoi e hana?i kela keiki keia keiki i kana mau hua iho.

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Principa Mathematica

By: Isaac Newton

Philosophiæ Naturalis Principia Mathematica, Latin for "Mathematical Principles of Natural Philosophy", often referred to as simply the Principia, is a work in three books by Sir Isaac Newton, first published 5 July 1687. Newton also published two further editions, in 1713 and 1726. The Principia states Newton's laws of motion, forming the foundation of classical mechanics, also Newton's law of universal gravitation, and a derivation of Kepler's laws of planetary motion ...

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Nidus Idearum. Scilogs, VI: annotations on neutrosophy

By: Florentin Smarandache

In this sixth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, referring to topics on Neutrosophy – email messages to research colleagues, or replies, notes about authors, articles, or books, and so on. Exchanging ideas with: A.A.A. Agboola, Muhamed Akram, Mohamed Abdel-Basset, Slim Belhaiza, Hashem Bordbar, Sisalah Bouzina, Said Broumi, Kajal Chatterjee, Emenia Cera, Vic Christianto, Mihaela Colhon, B. Davvaz, Luu Qu...

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Nidus Idearum. Scilogs, V: joining the dots

By: Florentin Smarandache

In this fifth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, referring mostly to topics on Neutrosophy – email messages to research colleagues, or replies, notes about authors, articles, or books, so on. Exchanging ideas with: Mohamed Abdel-Basset, Akeem Adesina A. Agboola, Yaman Akbulut, Anas Al-Masarwah, Mohammed A. Alshumrani, Saima Anis, Şule Bayazit Bedirhanoğlu, Said Broumi, Robert Neil Boyd, Vic Christianto, ...

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Nidus Idearum. Scilogs, IV: vinculum vinculorum

By: Florentin Smarandache

In this fourth book of scilogs collected from my nest of ideas, one may find new and old questions and solutions, referring mostly to topics on Neutrosophy – email messages to research colleagues, or replies, notes about authors, articles, or books, so on. Exchanging ideas with: Mohamed Abdel-Basset, Akeem Adesina A. Agboola, Mumtaz Ali, Saima Anis, Octavian Blaga, Arsham Borumand Saeid, Said Broumi, Stephen Buggie, Victor Chang, Vic Christianto, Mihaela Colhon, Cuờn...

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Nidus idearum. Scilogs, III: Viva la Neutrosophia!

By: Florentin Smarandache

In this third book of scilogs collected from Smarandache’s nest of ideas, one may find new and old questions and solutions, referring to topics on Neutrosophy – email messages to research colleagues, or replies, notes about authors, articles, or books, so on. Exchanging ideas with A. A. A. Agboola, Swati Aggarwal, Mumtaz Ali, Young Bae Jun, E. Barrenechea, Kanika Bhutani, Sisalah Bouzina, Said Broumi, Cuong Bui Cong, H. Bustince, Emenia Cera, Victor Christianto, Luu ...

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Nidus idearum. Scilogs, II: de rerum consectatione

By: Florentin Smarandache

In this second book of scilogs collected from Smarandache’s nest of ideas, one may find new and old questions and solutions, some of them already put at work, others dead or waiting, referring to many topics in different fields of research – email messages to research colleagues, or replies, notes about authors, articles, or books, so on – in an eager pursuit (consectatio) for meanings, reasons, and purports of (scientific) things (res). Exchanging ideas with Valentin...

I called the jottings herein scilogs (truncations of the words scientific, and gr. Λόγος – appealing rather to its original meanings "ground", "opinion", "expectation"), combining the welly of both science and informal (via internet) talks (in English, French, and Romanian).

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Nidus idearum. Scilogs, I: De neutrosophia

By: Florentin Smarandache

In this first books of scilogs collected from Smarandache’s nest of ideas, one may find new and old questions and solutions, some of them already put at work, others dead or waiting, referring to neutrosophy – email messages to research colleagues, or replies, notes about authors, articles or books, so on. Exchanging ideas with A.A.A. Agboola, Mumtaz Ali, Said Broumi, Clifford Chafin, Victor Christianto, Chris Cornelis, Emil Dinga, Hojjatollah Farahani, Alex Gal, Temu...

My lab[oratory] is a virtual facility with non-controlled conditions in which I mostly perform scientific meditation and chats: a nest of ideas (nidus idearum, in Latin).

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Cine râde la urmă e mai încet la minte : Folclor umoristic interne...

By: Florentin Smarandache, Editor

Acest al doilea volum de folclor umoristic internetist este o culegere de bancuri, glume, butade internetiste din ultimii ani. Textele şi fotografiile din acest volum au fost primite de la cunoscuţi prin e-mail sau culese din reţele de socializare. Materialele prezentate în acest volum sunt, pe de o parte, oferite spre divertisment personal, pe de altă parte, sunt doar o bucată a unei cercetări sistematice a fenomenului umoristic la români (aşa cum se exprimă acesta prin...

“Cine crede în telekinezie, să îmi ridice mâna. Nu sunt vegetarian pentru că iubesc animalele. Sunt vegetarian pentru că urăsc plantele. Cum îţi dai seama când rămâi fără cerneală invizibilă? Care este viteza întunericului? De ce abreviere este un cuvânt atât de lung? Intenţionez să trăiesc veşnic. Până acum sunt în grafic.” “Whoever believes in telekinesis, raise my hand. I'm not a vegetarian because I love animals. I'm a vegetarian because I hate plants. How...

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Special Pseudo Linear Algebras Using [0, n)

By: W. B. Vasantha Kandasamy; Florentin Smarandache

In this book we introduce some special type of linear algebras called pseudo special linear algebras using the interval [0, n). These new types of special pseudo interval linear algebras has several interesting properties. Special pseudo interval linear algebras are built over the subfields in Zn where Zn is a S-ring. We study the substructures of them. The notion of Smarandache special interval pseudo linear algebras and Smarandache strong special pseudo interval linear...

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Solving Diophantine Equations

By: Octavian Cira; Florentin Smarandache

In this book a multitude of Diophantine equations and their partial or complete solutions are presented. How should we solve, for example, the equation η(π(x)) = π(η(x)), where η is the Smarandache function and π is Riemann function of counting the number of primes up to x, in the set of natural numbers? If an analytical method is not available, an idea would be to recall the empirical search for solutions. We establish a domain of searching for the solutions and then we...

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Soft Neutrosophic Algebraic Structures and Their Generalization. S...

By: Florentin Smarandache; Mumtaz Ali

In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized collections of neutrosophic sub-algebraic structures of the neutrosophic algebraic structure. An important feature of this book is that the authors introduce the soft neutrosophic group ring, soft neutrosophic semigroup ring with its ...

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Soft Neutrosophic Algebraic Structures and Their Generalization. F...

By: Florentin Smarandache; Mumtaz Ali

Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that time but now the soft set theory has been developed in many areas of mathematics. Algebraic structures using soft set theory are very rapidly developed. In this book we developed soft neutrosophic algebraic structures by using soft sets and neutrosophic algebraic structures. In this book we study ...

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Pseudo Lattice Graphs and their Applications to Fuzzy and Neutroso...

By: W. B. Vasantha Kandasamy; Florentin Smarandache

In this book for the first time authors introduce the concept of merged lattice, which gives a lattice or a graph. The resultant lattice or graph is defined as the pseudo lattice graph of type I. Here we also merge a graph with a lattice or two or more graphs which call as the pseudo lattice graph of type II. We merge either edges or vertices or both of a lattice and a graph or a lattice and a lattice or graph with itself. Such study is innovative and these mergings are ...

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New Techniques to Analyse the Prediction of Fuzzy Models

By: W. B. Vasantha Kandasamy; Florentin Smarandache

For the first time authors have ventured to study, analyse and investigate the properties of the fuzzy models, the experts opinion and so on. Here the concept of merged Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps are carried out, which are based on merged graphs and merged matrices. This concept is better than the usual combined Fuzzy Cognitive Maps. Further by this new technique we are able to give equal importance to all the experts who work with the problem. ...

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New Research on Neutrosophic Algebraic Structures

By: Mumtaz Ali; Florentin Smarandache

In this book, the authors define several new neutrosophic algebraic structures and their related properties. The main focus of this book is to study the important class of neutrosophic rings such as neutrosophic LA-semigroup ring, neutrosophic loop ring, neutrosophic groupoid ring and so on. The authors also construct their generalization in each case to study these neutrosophic algebraic structures in a broader sense. The indeterminacy element “I“ gives rise to a bigger...

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Groupoids of Type I and II Using [0, n)

By: W. B. Vasantha Kandasamy; Florentin Smarandache

Study of algebraic structures built using [0, n) happens to be one of an interesting and innovative research. Here in this book authors define non associative algebraic structures using the interval [0, n). Here the authors define two types of groupoids using [0, n) both of them are of infinite order. It is an open conjecture to find whether these new class of groupoids satisfy any of the special identities like Moufang identity or Bol identity or Bruck identity or so on...

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