Stash
Subham Bera's Stashed Knowledge
SIMPLE VECTOR LECTURES
A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head. A vector Two vectors are the same if they have the same magnitude and direction. This means that if we take a vector and translate it to a new position (without rotating it), then the vector we obtain at the end of this process is the same vector we had in the beginning.
Subham Bera
SUMMATION DELTA
In the Calculus of Limits, the Poisson Summation Formula holds under unnecessary conditions. Using Delta function, and Periodic Delta Functions, we present here an Infinitesimal Calculus proof, that is free of unnecessary conditions. Then, we apply the formula to a particular series.
FORTRAN
Fortran is a computer programming language that is extensively used in numerical, scientific computing. While outwith the scientific community, Fortran has declined in popularity over the years, it still has a strong user base with scientific programmers, and is also used in organisations such as weather forecasters, financial trading, and in engineering simulations. Fortran programs can be highly optimised to run on high performance computers, and in general the language is suited to producing code where performance is important. Fortran is a compiled language, or more specifically it is compiled ahead-of-time. In other words, you must perform a special step called compilation of your written code before you are able to run it on a computer. This is where Fortran differs to interpreted languages such as Python and R which run through an interpreter which executes the instructions directly, but at the cost of compute speed.
HIGHER ENGINEERING MATHEMATICS
Historically, engineering mathematic consisted mostly of applied analysis, most notably: differential equations; real and complex analysis (including vector and tensor analysis); approximation theory (broadly construed, to include asymptotic, variational, and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as linear algebra and applied probability, outside of analysis. These areas of mathematics were intimately tied to the development of Newtonian physics, and the mathematical physics of that period. This history also left a legacy: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities, and fluid mechanics may still be taught in (applied) mathematics as well as engineering departments
IMPROPER INTEGRALS
In this kind of integral one or both of the limits of integration are infinity. In these cases, the interval of integration is said to be over an infinite interval. Let’s take a look at an example that will also show us how we are going to deal with these integrals. Example 1 Evaluate the following integral. ∫ ∞ 1 1 x 2 d x
FLUID MECHANICS
I REFER THIS BOOK WHICH IS EASILY WRITTEN AND UNDERSTANDABLE TO EVERYONE.
ELEMENTARY PRINCIPLES OF CHEMICAL PROCESS
In a scientific sense, a chemical process is a method or means of somehow changing one or more chemicals or chemical compounds. Such a chemical process can occur by itself or be caused by an outside force, and involves a chemical reaction of some sort. In an "engineering" sense, a chemical process is a method intended to be used in manufacturing or on an industrial scale (see Industrial process) to change the composition of chemical(s) or material(s), usually using technology similar or related to that used in chemical plants or the chemical industry.
QUESTION AND ANSWERS OF INTRODUCTION TO CHEMICAL ENGINEERING
THESE ARE THE FEW QUESTION ANSWERS OF CHEMICAL ENGINEERING. HOPE, THAT WILL HELP YOU,
QUESTION AND ANSWERS OF MACHINE DESIGN
THERE ARE FEW QUES AND ANS OF MACHINE DESIGN CHAPTER. HOPE THAT WILL HELP YOU
centrifugal seperation
Centrifugal separation can be regarded as an extension of gravity separation, as the settling rates of particles are increased under the influence of centrifugal force. It can, however, be used to separate emulsions which are normally stable in a gravity field.Centrifugal separation can be performed either by hydrocyclones or centrifuges. The simplicity and cheapness of the hydrocyclone (Chapter 9) make it very attractive, although it suffers from restrictions with respect to the solids concentration that can be achieved and the relative proportions of overflow and underflow into which the feed may be split
PLATE AND FRAME FILTRATION
Plate and frame Filter Press The main part of plate and frame filter press is a set of filter chambers consist by filter plates and filter frames in alternating order. When working, the slurry will be transferred by feeding pump from the feeding hole on the thrust plate to all chambers , under the pressure of feeding pump, solid particles in the slurry will be trapped into the filter chambers and form into filter cakes slowly, liquid through out the filter clothes and come out of outlet holes. Solid and liquid finally be separated after 1 filtration cycle.
THERMODYNAMICS 1
Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, radiation, and properties of matter. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics. Thermodynamics applies to a wide variety of topics in science and engineering, especially physical chemistry, chemical engineering and mechanical engineering, but also in other complex fields such as meteorology.