Lab E4: B-field of a Solenoid
... voltage or current, including our DMM’s, display rms values. In this lab, you will be reading the voltage directly from the oscilloscope screen, so you should indicate whether you are reporting the amplitude or peak-to-peak voltage. It would be nice if we could use our DMM’s to measure the AC voltag ...
... voltage or current, including our DMM’s, display rms values. In this lab, you will be reading the voltage directly from the oscilloscope screen, so you should indicate whether you are reporting the amplitude or peak-to-peak voltage. It would be nice if we could use our DMM’s to measure the AC voltag ...
Math 75 Notes
... 0.333… are rational. Notice the rational numbers include the integers which include the whole numbers which include the counting numbers. The gaps in the real number line are now partially filled in. ...
... 0.333… are rational. Notice the rational numbers include the integers which include the whole numbers which include the counting numbers. The gaps in the real number line are now partially filled in. ...
Wrapping spheres around spheres
... What have we learned: • Every way of wrapping S1 around S2 is equivalent to the “unwrap” • FACT: the same is true for wrapping any sphere around a larger dimensional sphere. • REASON: there will always be some place of the larger sphere which is uncovered, from which you can “push the wrapping off” ...
... What have we learned: • Every way of wrapping S1 around S2 is equivalent to the “unwrap” • FACT: the same is true for wrapping any sphere around a larger dimensional sphere. • REASON: there will always be some place of the larger sphere which is uncovered, from which you can “push the wrapping off” ...
Full text
... order k with common difference of t In this section, we discuss subsequences of these whose subscripts are triangular numbers. To properly set the stage, we need first to discuss polynomials whose coefficients are the Eulerian numbers. (See Riordan [2] J ...
... order k with common difference of t In this section, we discuss subsequences of these whose subscripts are triangular numbers. To properly set the stage, we need first to discuss polynomials whose coefficients are the Eulerian numbers. (See Riordan [2] J ...
Full text
... are many vectors in R3 which do not have this property, such as (0, 1, 2). Therefore, to give a complete analysis of the behavior of f , we are led to a consideration of this latter type of vector. Definition 2.1: We will call a vector v ∈ R3 heterogeneous if for all x, α ∈ R, α 6= 0, we haveα(v + ( ...
... are many vectors in R3 which do not have this property, such as (0, 1, 2). Therefore, to give a complete analysis of the behavior of f , we are led to a consideration of this latter type of vector. Definition 2.1: We will call a vector v ∈ R3 heterogeneous if for all x, α ∈ R, α 6= 0, we haveα(v + ( ...
handout
... d) Comparison Test (for showing divergence) e) Limit Comparison Test f) Alternating Series Test g) Absolute Convergence Test h) Ratio Test i) Root Test Exercise 11. What does it mean for a series to be absolutely convergent? To be conditionally convergent? Give a precise definition for each term, an ...
... d) Comparison Test (for showing divergence) e) Limit Comparison Test f) Alternating Series Test g) Absolute Convergence Test h) Ratio Test i) Root Test Exercise 11. What does it mean for a series to be absolutely convergent? To be conditionally convergent? Give a precise definition for each term, an ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.