Equivalent Definition and 1000 Threads

Hello! (Wave) I want to show that the following is equivalent: each non-empty and upper bounded subset of real numbers has a least upper bound. each non-empty and lower bounded subset of real numbers has a greatest lower bound. I have thought the following so far: $1. \Rightarrow 2.$...

Homework Statement I have trouble to find the right procedure to transform the circuit below to a thevenin equivalent. I am looking for a symbolic solution a step by step guidance of where to start and how to add/locate all the impedance in series and parallel in order to calculate the sum of Z...

So I'm studying electrostatics and I came across to two different definitions of potential difference/voltage (because we're in stationary regimes) and I'm having trouble understanding how the expressions are equivalent. They are for a voltage between point A and point B $$U=V_a - V_b...

Hi all I am currently working on questions focusing on valuation mathematics. A question on equivalent rates is perplexing me. The first question is straightforward, but I get stuck on the second question. Q1. What is the value of the right to receive £100,000 annually in advance in...

Homework Statement If the circuit of parallel and series resistors , is as follows , what's the equivalent resistance for the group? Homework Equations neglecting the battery internal resistance... irrelevant to the question. The Attempt at a Solution I tried to do the following R1=8+12=20...

I want to get a copy of historical Algebra literature that essentially the equivalent of Euclid’s Elements for Algebra. Does anyone have any recommendations?

What is the difference between 'equivalent and equivalence'?

Homework Statement Find equivalent capacitance between A and B of the given figure (pardon camera quality) Homework Equations All related The Attempt at a Solution marking junctions, From left to right, starting from original point A-and ending at B I wrote potential at them as follows...

I'm starting to get into RF electronics, and an upcoming project involves the use of a power meter / SWR meter. How do we model a power meter in terms of an equivalent circuit? i.e. is it just another impedance? or a transformer? or does it not effect the circuit at all, so we just don't include...

Homework Statement I just want to check to see if my understanding in anything here has gaps. Q: Find the Thevenin equivalent circuit for the network external to he load resistor ##R_L##: Homework Equations Ohm's Law: ## V = IR ## Kirchoff's Voltage Law: Σ##V_{drops}## + Σ##V_{gains}## = 0...

Homework Statement Find the Thevenin equivalent circuit for the portions of the networks in the following circuit: Homework Equations Kirchoff's Voltage Law: ΣVdrops = ΣVgains Kirchoff's Current Law: ΣIclosed loop = 0 Ohms Law: V = IR The Attempt at a Solution Determination of the Thevenin...

Is there a qualification undergrad engineers can take during university to show their aptitude for physics and maths? Like a recognised test, aptitude test that they can put in their academic record as well? Anything along these lines at all? Is there one that is recognised in UK, Europe and...

Could it be imagined that due to a particular stars' distribution in a galaxy the gravitational force felt would be like $$f(\vec{e}_r)/r^{\alpha}$$ where $$\alpha\neq 2$$ but near 2 and f a non spherically symmetric function (like a comet around a flat galaxy) ?

The picture attached with this post shows a combination of capacitors, we are asked to find out the equivalent capacitance between the points A and B. Provided that all the capacitors are identical and has an individual capacitance C. Can anyone help me provide basic ideas of solving these kind...

Homework Statement https://imgur.com/a/XD3Km4t I'm trying to find the thevenin equivalent resistance across the opened terminals. Homework Equations I know you short circuit the voltage source and do simple circuit analysis, however I'm getting confused in determining what resistors are...

Hello, I have the following product, and I am looking for a summation equivalent \prod_{k=1}^K\left(1-\frac{1}{x_k+1}\right) Is this doable? I tried to use partial fraction but got nowhere! Thanks in advance

Hey! :o Let $A=(a_{i,j})$ a real matrix with $m$ rows and $n$ columns, $x\in \mathbb{R}^n$ and \begin{equation*}\|A\|:=\sup_{\|x\|_2\leq 1}\|Ax\|_2, \ \ \|A\|_{\text{Eucl}}:=\sqrt{\sum_{i=1}^m\sum_{j=1}^n|a_{i,j}|^2}\end{equation*} I want to show that $$\|A\|\leq \|A\|_{\text{Eucl}} \leq...

Homework Statement Homework EquationsThe Attempt at a Solution From symmetry , C and D are at the same potential . So , resistance between them can be removed . This leaves us with three parallel branches between A and B i.e 45 Ω || 45 Ω || 15Ω . The net resistance will be 9 Ω . But this...

Homework Statement Homework EquationsThe Attempt at a Solution I think the circuit given above is incorrect due to the presence of the two resistors . I have never seen/done a problem where equivalent capacitance is to be calculated across two points in a circuit , having resistors along...

Is it possible that two physical theories are equivalent in the sense that their predictions are exactly the same but the mathematics they use is different?

Homework Statement Consider the electric circuit shown in the figure. Assume that V = 13.7 V, R1 = R2 = R3 = R4 = R5 = 7.00 Ω. What is the equivalent resistance of the circuit? Homework Equations total voltage of a series circuit is the sum of the voltage of all the resistors total current of...

Homework Statement Homework EquationsThe Attempt at a Solution [/B] The circuit is symmetric about AC and BD , but I am not sure how to use this to simplify the circuit . Could someone help me in solving this circuit using symmetry considerations .

My professor never really went over this concept clearly in Advanced Calculus. The definition of an equivalent metric from my lecture slides: Two metrics: d1 and d2 on a metric space X are called equivalent when there exists M >= 1 such that M-1d1(x,y) <= d2(x,y) <= Md2(x,y) I am trying to...

Hi, I am having trouble trying to determine Voc on this circuit. I have done the following to attempt it: 1) Converted my Voltage source to rectangular format (from polar) 2) Converted my capacitor and inductor to Xc and XL 3) I tried using KCL to find Va that's at the three-way on the circuit...

Hi all, RDB:=Relational Database I need for this to determine if there is a standard, " reasonable" notion for when two RDBs are considered to be equivalent ( other than the obvious relabeling and reordering of fields). OF course, we assume that the Functional Dependency graphs are...

Find Thevenins Equivalent circuit external to RL, then find I. Here's my work : 5Ω & 5Ω series → R(1) = 5+5 = 10 Ω 10Ω & R(1) parallel→ R(2) = (10*10)/(10+10) = 5 Ω 2Ω & R(2) series → R(3) = R Th = 5+2 = 7Ω V = I R R = (R Th * RL)/(R Th + RL) R = 70/17 Ω V = 5 * (70/17) = 350 / 17 V = 20.6...

Josh says that 2/3 is always the same as 4/6. Meghan says that 2/3 and 4/6 are equivalent fractions, but they could be different amounts. Which student is correct? I say Josh.

Here's the problem: I don't see why there should be only finitely many nonzero a_z in b. I was able to prove uniqueness assuming that there only finitely many nonzero. I was able to show b implies d and b implies c, c implies a.

Homework Statement Homework EquationsThe Attempt at a Solution First I calculated equivalent capacitance between R and M . The two 2μF capacitors are in series . Their combination is in parallel with the 1μF capacitor . Their equivalent capacitance is 2μF . Now I found equivalent...

Homework Statement 2. Homework Equations Ohm's law and Kirchoff's voltage law The Attempt at a Solution My solution is a bit long so I will just briefly explain it. First, we find the total equivalent resistance. Since the circuit extends to infinity, it is equal to replacing the second...

There is a big sphere with charges distributed on the surface. N charges are distributed on a patch of the sphere (all the information of the charges such as their locations are known). Suppose the rest of the sphere has similar charge distribution as the patch, how to approximately calculate...

Homework Statement Find the equivalent resistance of this circuit between points a and b https://imgur.com/a/LWcIC Homework Equations The Attempt at a Solution I am not sure how to complete this problem without any variables. I tried replacing the numbers with the variables which is what I...

Homework Statement problem in title:Homework Equations 1/Rtotal = 1/r1 + 1/r2...[/B]The Attempt at a Solution [/B] I can get it down to 4 resistors...but the one's I have circled I don't know how they behave. I just need a little kick in the right direction lol. Thank you in advance!

Hello all, I am an undergraduate student who is studying real analysis from Rudin's POMA and I am trying to prove that these two definitions that I have for dense sets are equivalent: 1) Given a metric space X and E ⊂ X ; E is dense in X iff every point of X is a limit point of E or E = X or...

[Mod Note: Thread moved from technical forum hence no homework template.] Okay so the image i uploaded only because of the cirscuit never mind the text to it. I don't understand things mathematicaly verry well. I like to have a good physical grasp on what is going on with the circuit. That...

Trying to remember some basics. I know the thrust of a jet engine. I'm thinking about equivalent HP. I can establish HP at a given speed, but what about while accelerating? I will display my ignorance here :( Power for static, non accelerating flight: Power = [Thrust x Airspeed] Thrust...

Hi All, Sorry if this seems pretty lost. I want to compute an expression of the type A/B with data given in different sheets, i.e., A is given in sheet i and b is given in sheet j. Now, I know that in SQL Server ( SQL in general), one can join tables. Is there a similar way of getting data...

Hi everyone ! i want to find the equivalent mass of a car rotating parts and i came across this site which provides some cars formula : http://www.thecartech.com/subjects/auto_eng/car_performance_formulas.htm So far i understand almost everything until i get to the part where inertia resistance...

How is voltage equivalent of temperature(Vt=KT/q) defined and derived? Is it related to kinetic energy(which is equal to 3kT/2)?

When computing the rise in temperature on a body due to mechanical work, if we stick to using SI units, do we need the conversion factor called mechanical equivalent of heat. That is, can we readily equate W = Q and hence W = m x C x ΔT . Where 'm' is the mass of the substance on which work is...

Homework Statement A solid sphere is cut in half and a homogeneous hemisphere of radius r and mass M is set upon a table(with its flat side up). The surface of the table is perfectly rough. The hemisphere rocks back and forth with small amplitude excursions from equilibrium. What is the length...

Homework Statement [/B] Homework EquationsThe Attempt at a Solution First I found the equivalent resistance since the 3 ohm resistor and 6 ohm resistor are in series. 9ohm. Then I did chose the node where the arrow points to as Voc, which is also va. KVL: (va+24V)/9ohm=1.33va I get va to be...

Homework Statement Find the Thévenin resistance for each of the circuits shown by zeroing the sources. Homework EquationsThe Attempt at a Solution I replaced the current source with an open circuit and I'm left with a wye formation but I don't know how to calculate the equivalent resistance

I understand that in group theory, a group consists of a set and a binary operation for the elements in the set, and of course all the group axioms. But if we move away from set theory into category theory, is a group defined on a category?

Homework Statement For 200 KVA, 4000/1000 V transformer. 1 phase. Efficiency is 0.97 at full load and 60% load at unity power factor. No load pf = 0.25 Full load Voltage regulation at 0.8 pf lag is 5% Find transformer ckt parameters for referred to lv side Homework Equations efficiency is...

We have the 3 equivalent definition for solvable groups: There exists a chain of subgroups 1 < G1 ...< Gi + < G i+1 < Gr = G such that Gi is normal in Gi+1 and Gi+1/Gi is abelian. Another definition is there exists 1 < H1 ...< Hi + < H i+1 < Hs = H such that Hi is normal in Hi+1, and...

Homework Statement https://imgur.com/a/aVCeU Homework Equations (1/Req) = (1/Rv1) +(1/Rv2) Req = Rv1 + Rv2 The Attempt at a Solution I'm not sure which formula is the correct one to use.So.. I'm absolutely stuck. I tried downloading a bunch of circuit board simulators, but I couldn't find an...

Hello everybody just out of couriosity An undergraduate degree in EE or Computer engineering followed by a MS in Nanotechnology engineering (lectures in quantum and stat mech, chemistry, nanostructured materials with many lab activities...) can be considered in some way equivalent to a MS in...

Homework Statement I want to determine the equivalent resistance between A and D in the drawing below: [/B] Homework Equations 1/Req=1/R1+1/R2+1/R3+... And Req=R1+R2+R3+... The Attempt at a Solution I don't really know how to simplify this drawing, I'm not sure if one resistor isn't...

Homework Statement A p-state clock model is a spin model in which states can be viewed as hands of a clock! Now knowing the models we should prove these two models are equivalent for ##p=q=2## or ##p=q=3## Homework Equations Potts model is described by $$ H = -J \sum_{<ij> } \delta_{...