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Showing 41 - 50 of 297 results for "The wave"
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https://sheffield.ac.uk/media/32000/download?attachmentFresnel integrals with limits arise in wave and antenna theory and the Sine integral with limits infilter theory. ... This isespecially true when modelling waves and alternating current circuits. When the root-mean-square(rms) value of a waveform, or
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https://sheffield.ac.uk/media/31946/download?attachmentscience and engineeringsuch as vibration theory, wave theory and electric circuit theory.We return to the identities (6) and (9). ... ab(cos(4000400πt) cos(3999600πt)). So the modulated signal is the sum of two waves with angular frequency of...
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https://sheffield.ac.uk/media/30846/download?attachmentω,. as obtained using the time-shift property. Task. Use the frequency shift property to obtain the Fourier transform of themodulated wave. ... ωsin 2ω. HELM (2008):Section 24.2: Properties of the Fourier Transform. 15. ... p1(t) =. {1 1 t 10...
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https://sheffield.ac.uk/media/32130/download?attachmentWorkbook 4 - Trigonometry (77 pages). 4.1 Right-angled Triangles4.2 Trigonometric Functions4.3 Trigonometric Identities4.4 Applications of Trigonometry to Triangles4.5 Applications of Trigonometry to Waves. ... year or two years by selecting from the
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https://sheffield.ac.uk/media/30847/download?attachment2"#(! 0)! 0. F{ei!0t}. Task. Obtain the Fourier transform of a pure cosine wave. ... If the above conditions hold then f(t) has a unique Fourier transform. ... Your solution. AnswerWe have F{δ(t)} = 1. Therefore by the duality property. ... Now...
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https://sheffield.ac.uk/media/32051/download?attachment2"#(! 0)! 0. F{ei!0t}. Task. Obtain the Fourier transform of a pure cosine wave. ... If the above conditions hold then f(t) has a unique Fourier transform. ... Your solution. AnswerWe have F{δ(t)} = 1. Therefore by the duality property. ... Now...
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https://sheffield.ac.uk/media/31949/download?attachmentIn modelling theformation and movement of seismic waves in the Earth’s crust it is convenient to assume that thelayers from which the Earth’s crust is formed have constant thickness ... ContentsContents 55 Functions and Modelling. 5.1 The...
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https://sheffield.ac.uk/media/31951/download?attachmentThe tide on the day in question is typical.No waves.A sinusoidal function accurately models the effect of the tide on sea level. ... where the quantity being modelled is known to change in a periodic way. ... c) Write down the amplitude, period and...
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https://sheffield.ac.uk/media/31957/download?attachmentIntroduction. Engineers are concerned with using and intercepting many kinds of wave forms including electromag-netic, elastic and acoustic waves. ... We will try ‘undoing’ the exponential in the particular example. P = 12e0.1t. ... Compare this...
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https://sheffield.ac.uk/media/31967/download?attachmentThis change in pitch is known as the Dopplereffect This effect occurs in any situation where waves are reflected from a moving object. ... TheS.I. units in which these are measured are also shown. HELM (2008):Section 9.1: Basic Concepts of Vectors.