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Maths and Vibrations - Tutorial Sheet 3 Solutions

Maths and Vibrations - Tutorial Sheet 3 Solutions 1)           i)                 ii)       iii)       (from your argand diagram can you see why we’ve subtracted 180 degrees) iv)       v)       For (
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Maths and Vibrations – Tutorial Sheet 4 Solutions

Maths and Vibrations – Tutorial Sheet 4 Solutions 1)       i)        3 ii)       iii)      2 2)       Review product, chain and quotient rules           i)                                          
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Maths and Vibrations – Tutorial Sheet 1

Maths and Vibrations – Tutorial Sheet 1 1)       Expand i)              ii)    2)       Express x as a function of y 3)       Find the range of x that satisfies the following i)                     
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AN ILL FATED SATELLITE


Th 1     AN ILL FATED SATELLITE The most frequent orbital manoeuvres performed by spacecraft consist of velocity variations along the direction of flight, namely accelerations to reach higher orbits or brakings done to initiate re-enter
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AN ILL FATED SATELLITE SOLUTION

AN ILL FATED SATELLITE SOLUTION 1.1 and 1.2                          1.3                                                   2.1                                 The value of the semi-latus-rectum l is obtained taking i
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THE DETERMINATION OF THE RYDBERG CONSTANT

THE DETERMINATION OF THE RYDBERG CONSTANT 1.     Work purpose The determination of the constant involved in the spectral series of the hydrogenoid atoms / ions. 2.     Theory The atoms of e
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AFFINE SPACES - Definition and Examples

AFFINE SPACES The most of the geometrical notions of this chapter will be studied in spaces for which the notions of point and vector are indispensable. The notion of affine space allows using the two notions in a well-defined environment.
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BILLINIAR FORMS AND QUADRATIC FORMS

BILLINIAR FORMS AND QUADRATIC FORMS §1. Billinear forms             Let V be a vector space over the field K. 1.1 Definition It is called billinear form over the vector space V an application g: VVK, w
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VECTOR SPACES

VECTOR SPACES §1. Definition and examples The notion of vector space constitues the study of linear algebra and represents one of the most important algebraic structures used in different branches of mathematics, as in the applicate
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Linear transformations - Definition and General Properties

Linear transformations Together with the fundamental notion of vector space, the linear transformation is another basic concept of linear algebra. This represents the information „carrier” regarding the linearity property from one vect
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Plane and Space linear geometry

Plane and Space linear geometry  In this chapter we will study the quadratic variations of an euclidian punctual space E3 = (E3, V3, φ ) starting from different ways of geometrical determination . The variations of the dimension, o
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Commutative rings and algebras

Commutative rings and algebras Introduction Commutative rings and algebras are sets like the set of integers, allowing addition and (commutative) multiplication. Of particular interest are several classes of rings of interest in number t
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Standard Normal Probabilities

Standard Normal Probabilities: (The table is based on the area P under the standard normal probability curve, below the respective z-statistic.) z .00 .01 .02 .03 .04
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Pythagorean theorem


Pythagorean theorem      Pythagoras of Samos ( born between 580 and 572 BC, died between 500 and 490 BC) was an Ionian Greek mathematician and founder of the religious movement called Pythagoreanism. Pythagoras was born on Samos, a Greek
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Chaulnes Method

Chaulnes Method Goals of experiment: The experiment presents a method of determining the refraction index for materials that are optic solid and shutter by Chaulnes Method theory: The refraction index which defines
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Boundary Layer Similarity

Boundary Layer Similarity B. L. Equations:                                               ≈0                                        ≈0 For lo
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Fourier Transform

Lesson Title: Fourier Transform Lesson Number: 26 Background: In Chapter 11 the basic form of the Fourier transform and series was established. The Fourier transform pair was defined as:
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Fourier representation of a periodic pulse-train

Lesson Title:  Fourier representation of a periodic pulse-train Lesson Number: 05 Background: In Chapter 3, the Fourier representation (analysis) of a periodic signal was developed. The
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Classes of complexity of uni- and bidimensional cellular automaton and properties of Boolean functions

Classes of complexity of uni- and bidimensional cellular automaton and properties of Boolean functions             For a Boolean function with n variables (n > 0) it is the possibility of non-effective dependence by a precise variabl
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LF axis of true position dimension of a square



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