An introduction to abstract analysis

An Introduction to Abstract Algebra

algebra plays a fundamental role in many areas of science and engineering. In this chapter we describe a variety of basic algebraic structures that play roles in the generation and analysis of sequences, especially sequences intended for use in communications and cryptography. This include groups (see Section 1.1), rings (see Section 1.2), and polynomials over rings (see Section 1.4). We also e...

An Introduction to Abstract Interpretation

Predicate Transformer (Sketchy) ̧P ‹ post[[X:=E]] ‹ ‚P(fq1; : : : ; qng) where fq1; : : : ; qng „ fp1; : : : ; pkg = ̧P ‹ post[[X:=E]]( n \ i=1 I[[qi]]) def. ‚P = ̧P(f[X=[[E]]] j  2 n \ i=1 I[[qi]]g) def. post[[X:=E]] = ̧P( n \ i=1 f[X=[[E]]] j  2 I[[qi]]g) def. \ = ̧P( n \ i=1 I[[qi[X=E]]]) def. substitution = fpj j I[[qi[X=E]) pj]]g def. ̧P ) fpj j theorem_prover[[qi[X=E]) pj]]g since th...

An Introduction to Sociolinguistics

An Introduction to Speech Sciences (Acoustic Analysis of Speech)

Speech sciences deal with the acoustical characteristics of speech by means of sophisticated soft wares as well as hard wares. Although, a speech science is a well known science in the developed countries, especially the western societies, however, it has been remained almost unknown in Iran, though, in recent years a group of scholars have been involved in this branch of science. The applicati...

ترجمه و تحقیق کتاب an introduction to the history of mysticism

پایان نامه ی ارائه شده ترجمه ی کتاب «an introduction to the history of mysticism» نوشته ی مارگارت اسمیت که وی پژوهشگر، خاورشناس و محقق برجسته ی تصوف و عرفان می باشد. موضوع اساسی و مهم این کتاب عرفان در ادیان مختلف است. نویسنده در ابتدا این کلمه را ریشه یابی کرده و سپس تعریفی از آن ارائه داده و آن را در ادیان مختلف مورد بحث قرار داده است و در هر فصل کتاب به معرفی عرفای آن دین یا عصر خاصی پرداخته...