We prove limiting imbeddings of spaces with dominating mixed derivatives into the spaces of almost Lipschitz continuous functions.

We consider fractional Sobolev spaces with dominating mixed derivatives and prove some generalizations of Trudinger’s limiting imbedding theorem.

We consider fractional Sobolev spaces with dominating mixed derivatives and prove generalizations of Trudinger’s limiting imbedding theorem.

For any integer  ‎, ‎a minus  k-dominating function is a‎function  f‎ : ‎V (G)  {-1,0‎, ‎1} satisfying w) for every  vertex v, ‎where N(v) ={u V(G) | uv  E(G)}  and N[v] =N(v)cup {v}. ‎The minimum of ‎the values of  v)‎, ‎taken over all minus‎k-dominating functions f,‎ is called the minus k-domination‎number and is denoted by $gamma_k^-(G)$ ‎. ‎In this paper‎, ‎we ‎introduce the study of minu...

plants in ancient fictional texts describe the  relation between low world and super worlds and appear in forms including ritual resurrection, human reincarnation in plant and vice versa, identification of human and plant , and etc which  relate human's spirit to supernatural. contemporary persian poets are taking advantage of a new language that is full of mythical concepts for expression...

Social media has become almost ubiquitous in present times. Such proliferation leads to automatic information processing need and has various challenges. The nature of social media content is mostly informal. Additionally while talking about Indian social media, users often prefer to use Roman transliterations of their native languages and English embedding. Therefore Information retrieval (IR)...

The shared task on Mixed Script Information Retrieval (MSIR) was organized for the fourth year in FIRE-2016. The track had two subtasks. Subtask-1 was on question classification where questions were in code mixed Bengali-English and Bengali was written in transliterated Roman script. Subtask-2 was on ad-hoc retrieval of Hindi film song lyrics, movie reviews and astrology documents, where both t...

The Transliterated Search track has been organized for the third year in FIRE-2015. The track had three subtasks. Subtask I was on language labeling of words in code-mixed text fragments; it was conducted for 8 Indian languages: Bangla, Gujarati, Hindi, Kannada, Malayalam, Marathi, Tamil, Telugu, mixed with English. Subtask II was on ad-hoc retrieval of Hindi film lyrics, movie reviews and astr...