Fourier Transform Question || Engineering mathematics

FOURIER TRANSFORM:- The Fourier transform (FT)         decomposes a function of time (a signal) into its constituent frequencies. This is similar to the way a musical chord can be expressed in terms of the volumes and frequencies of its constituent notes. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates...

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Solidification of metals animation

Solidification of pure metals take place animation:-                 Solidification is the transformation of materials from the liquid the solid crystalline state on cooling.During solidification, the disordered structure of the liquid transforms to the orderly arrangement characteristic of the crystal. This process of solidification does not occur instantaneously. The process is characterized by the formation...

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Types of SAND in civil Engineering

Types of sand according to size:- GREEN SAND DRY SAND LOAM SAND FACING SAND BACKING SAND SYSTEM SAND PARTING SAND CORE SAND Define all types SAND:_-           GREEN SAND- It is a mixture of silica sand with 18 to 30 percent clay, having a total water content 6 to 8 percent. The clay and water furnish the bond for green sand. It is fine, soft, light, and porous. Being damp when squeezed in the hand, it retains...

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Stress and strain. Hook's Law

DEFINE STRESS AND STRAIN:- Stress-              When some external forces are applied to a body, it offers resistance to these forces. The magnitude of this resisting force is numerically equal to the applied forces. This internal resisting force per unit area is called stress. Therefore, stress can be defined as the intensity of internal forces resisting change in the shape of the body. It is calculated by simply...

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Casting process steps

CASTING PROCESS Define ;-(casting)           [ In casting, the molten metal is poured into a refractory mould with a cavity of the shape to be made, and allowed to solidify.After solidification, the desired metal object is taken out from the mould. The solidified object is known as casting. Sand moulds are generally used for casting, however, they cannot maintain better tolerances and smooth surface finish. Thus, now-a-...

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Fourier Transform

The Fourier Transform  1.1 Fourier transforms as integrals        There are several ways to define the Fourier transform of a function f : R → C. In this section, we define it using an integral representation and state some basic uniqueness and inversion properties, without proof. Thereafter, we will consider the transform as being defined as a suitable limit of Fourier series, and will prove the results stated here.  The...

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