Amit Kumar

This book "Number Theory for Olympiads" presents the interesting world of numbers in a playful manner. Crafted especially for the students of classes 7 to 12, this book will be useful for various examinations such as Mathematics Olympiads, school exams, board exams, etc. Even, certain concepts are discussed for examinations like JEE Main & Advanced. Number theory is an essential part of mathematics courses at the undergraduate level. Therefore, this book can also serve as an introductory course in Number theory at the undergraduate level. The features included in this book are: - A sufficient number of examples and illustrations are given to explain the concepts - The chapter 'Key Concepts & Results of Number Theory' summarizes all the key concepts - The chapter "Olympiad Problems" consists of a wide range of problems from the previous year's questions of various regional, national, & international mathematics Olympiad - Certain concepts are discussed for JEE Main & Advanced

Food Safety Officers (FSOs) areresponsible for analyzing food samples gathered from different places for examination. These professionals examine if there is any suspicious or hazardous material in the ingredients or the food product ensuring the safety of consumers. Many organizations/institutions conduct entrance examination for admission in various disciplines related to food science, dairy science and technology, postharvest technology, food processing technology, agricultural process and food engineering. There are also some competitive examinations such as ICAR-NET/ARS, CSIR-NET, SRF/JRF, GATE and Food Safety Officer by State Public Service Commissions. Hence there is a great need of terminological books covering a lot of important technical words related to Food Science. Every effort has been made to ensure that the information compiles from various sources such as publications and internet sites are accurate and up to date. However, the readers are strictly advised to confirm the data in case of doubt. Mistakes and omissions if any are inadvertent and will be corrected when pointed out by the readers. We request all readers to send their valuable suggestions with regard to the improvement of this book.

Le livre Celebrity Endorsement: In Indian Context est une recherche men e uniquement en Inde et montrant l'analyse des diff rents facteurs qui affectent le comportement d'achat des consommateurs. Bien que cette tude ait t men e en Inde, nous pouvons g n raliser ces r sultats car la pens e des consommateurs est quelque part la m me, qu'ils appartiennent n'importe quel pays ou r gion. Ce livre peut tre d'une grande aide si quelqu'un veut explorer ou travailler sur l'aspect du marketing et de la publicit li l'approbation par les c l brit s.

Este livro "Celebrity Endorsement: In Indian Context" uma investiga o realizada apenas na ndia e que mostra a an lise de diferentes factores que afectam o comportamento de compra dos consumidores. Embora este estudo tenha sido realizado na ndia, podemos generalizar estes resultados, uma vez que o pensamento dos consumidores o mesmo, independentemente de pertencerem a qualquer pa s ou regi o. Este livro pode ser uma grande ajuda se algu m quiser explorar ou trabalhar no aspeto do endosso de celebridades no Marketing e na Publicidade.

Questo libro "Celebrity Endorsement: In Indian Context" una ricerca condotta esclusivamente in India e mostra l'analisi dei diversi fattori che influenzano il comportamento d'acquisto dei consumatori. Anche se questo studio stato condotto in India, possiamo generalizzare i risultati, poich il pensiero dei consumatori lo stesso sia che appartengano a qualsiasi paese o regione. Questo libro pu essere di grande aiuto se qualcuno vuole esplorare o lavorare sull'aspetto dell'endorsement delle celebrit nel marketing e nella pubblicit .

Dieses Buch "Celebrity Endorsement: In Indian Context" ist eine Studie, die nur in Indien durchgef hrt wurde und die Analyse verschiedener Faktoren zeigt, die das Kaufverhalten der Verbraucher beeinflussen. Obwohl diese Studie in Indien durchgef hrt wurde, k nnen wir die Ergebnisse verallgemeinern, da die Denkweise der Verbraucher in jedem Land und jeder Region gleich ist. Dieses Buch kann eine gro e Hilfe sein, wenn jemand den Aspekt der Prominentenwerbung in Marketing und Werbung erforschen oder daran arbeiten m chte.

This book describes a set of methods for finding more-for-less solutions of various kind of fuzzy transportation problems. Inspired by more-for-less approaches to the basic transportation problem initiated by Abraham Charnes and his collaborators during 1960s and 1970s, this book describes new methods developed by the authors to solve different types of problems, including symmetric balanced fuzzy transportation problems, symmetric intuitionistic fuzzy transportation problems with mixed constraints, and symmetric intuitionistic fuzzy linear fractional transportation problems with mixed constraints. It offers extensive details on their applications to some representative problems, and discusses some future research directions

La malformazione venosa una delle lesioni vascolari benigne pi comuni, con circa il 40% dei casi che compaiono nella testa e nel collo. Possono compromettere l'aspetto e la funzionalit del paziente e persino causare emorragie pericolose per la vita o l'ostruzione delle vie respiratorie. Gli attuali metodi di trattamento comprendono la chirurgia, la terapia laser, la scleroterapia o un trattamento combinato. Il trattamento delle malformazioni venose piccole e superficiali relativamente semplice ed efficace; tuttavia, il trattamento di lesioni profonde ed estese che coinvolgono pi siti anatomici rimane una sfida per il chirurgo.

Venenfehlbildungen sind eine der h ufigsten gutartigen Gef l sionen, wobei etwa 40 % der F lle im Kopf- und Halsbereich auftreten. Sie k nnen das Aussehen und die Funktionalit t des Patienten beeintr chtigen und sogar lebensbedrohliche Blutungen oder Atemwegsobstruktionen verursachen. Zu den g ngigen Behandlungsmethoden geh ren Chirurgie, Lasertherapie, Sklerotherapie oder eine Kombination davon. Die Behandlung kleiner und oberfl chlicher Venenfehlbildungen ist relativ einfach und wirksam; die Behandlung tiefer und ausgedehnter L sionen, die mehrere anatomische Stellen betreffen, bleibt jedoch eine Herausforderung f r den Chirurgen.

La malformation veineuse est l'une des l sions vasculaires b nignes les plus courantes, environ 40 % des cas apparaissant dans la t te et le cou. Elles peuvent affecter l'apparence et la fonctionnalit du patient et m me provoquer des h morragies ou une obstruction des voies respiratoires mettant en jeu le pronostic vital. Les m thodes actuelles de traitement comprennent la chirurgie, la th rapie au laser, la scl roth rapie ou une combinaison des deux. Le traitement des malformations veineuses petites et superficielles est relativement simple et efficace; cependant, le traitement des l sions profondes et tendues impliquant plusieurs sites anatomiques reste un d fi pour le chirurgien.

A malforma o venosa uma das les es vasculares benignas mais comuns, com aproximadamente 40% dos casos a aparecerem na cabe a e no pesco o. Podem afetar a apar ncia e a funcionalidade do doente e at causar hemorragias ou obstru o das vias respirat rias com risco de vida. Os m todos actuais de tratamento incluem cirurgia, terapia laser, escleroterapia ou um tratamento combinado. O tratamento de malforma es venosas pequenas e superficiais relativamente simples e eficaz; no entanto, o tratamento de les es profundas e extensas que envolvem m ltiplos locais anat micos continua a ser um desafio para o cirurgi o.

Most of the primary spectrum is already assigned, so it becomes very difficult to find spectrum for either new services or expanding existing services. At Present government policies do not allow the access of licensed spectrum by unlicensed users, consists them instead to use several heavily populated, interference-prone frequency bands. As the result, there is huge spectrum scarcity problem in certain bands. In particular, if the radio spectrum is scanned, including the revenue-rich urban areas, it can be seen that some frequency bands in the spectrum are unoccupied for some of the time and many frequencies band are only partially occupied, whereas the remaining frequency bands are heavily used. We propose a new algorithm named CSAC. CSAC is the first one in the literature that exploits the only available channels in designing CH sequences while providing guaranteed rendezvous.