• Today, 06:54
My own best guess was to look at the differences: $\frac 13, \frac 16, \frac 1{10}$. The next difference might be $\frac 1{15}$, although it does...
8 replies | 105 view(s)
• Today, 01:48
Thanks GJA ... Appreciate your help... Peter
2 replies | 32 view(s)
• Yesterday, 23:24
I am reading Paul E. Bland's book "Rings and Their Modules" ... Currently I am focused on Section 3.2 Exact Sequences in \text{Mod}_R ... ... ...
2 replies | 32 view(s)
• Yesterday, 15:52
I like Serena replied to a thread Special Relativity in Physics
It's the other way around.
11 replies | 128 view(s)
• Yesterday, 15:26
I like Serena replied to a thread Right triangle. in Geometry
For the record, something like that is called a sangaku. A drawing that exhibits a proof, without any words, expressions, or symbols. Admittedly my...
13 replies | 122 view(s)
• Yesterday, 15:04
I like Serena replied to a thread Right triangle. in Geometry
You mean just drawings? (Wondering) Something like this: \begin{tikzpicture} %preamble \usetikzlibrary{arrows} \def\a{sqrt(17)} ...
13 replies | 122 view(s)
• Yesterday, 13:37
I like Serena replied to a thread Right triangle. in Geometry
To be honest, I only used trigonometry because it means I have to use fewer words to explain those ratios! (Rofl)
13 replies | 122 view(s)
• Yesterday, 13:20
I like Serena replied to a thread Right triangle. in Geometry
Trigonometry is only used in the first step. We can replace it with non-trigonometry by observing that triangles ABC and ACD are similar, meaning...
13 replies | 122 view(s)
• Yesterday, 12:55
I like Serena replied to a thread Right triangle. in Geometry
Let's make a drawing: \begin{tikzpicture} %preamble \usetikzlibrary{arrows} \def\a{sqrt(17)} \def\b{sqrt(68)} \def\c{sqrt(85)} ...
13 replies | 122 view(s)
• Yesterday, 09:13
I like Serena replied to a thread Special Relativity in Physics
Indeed, the distance travelled is $v\Delta t' = 240\text{ lightyear}$. So we have $\Delta t' = \frac{240\text{ lightyear}}{v}$ and $\Delta t =... 11 replies | 128 view(s) • April 22nd, 2018, 12:30 Let me throw in another XKCD: I do hope that no one drops our people table! (Worried) 19 replies | 514 view(s) • April 22nd, 2018, 11:32 I like Serena replied to a thread Optics: Lenses in Physics Normally the object and image are at different sides of the lense, meaning their distances add up. However, it is possible that we have a virtual... 6 replies | 87 view(s) • April 22nd, 2018, 10:17 MarkFL replied to a thread Olinguito in Introductions Hello, and welcome to MHB! (Wave) 8 replies | 102 view(s) • April 22nd, 2018, 09:31 Good! (Happy) We have: $$\epsilon = -\d \Phi t = -\d {(B_i A_i + B_o A_o)} t\approx -A_i\d {B_i} t$$ where$A_i$is the cross sectional area... 9 replies | 120 view(s) • April 22nd, 2018, 08:59 I like Serena replied to a thread Banach space in Analysis$C(\mathbb{R})$means that$\forall t\in \mathbb R: \lim_{h\to 0} f(t+h)=f(t)$. Will that be true if$f$is the absolute converging limit of a... 6 replies | 78 view(s) • April 22nd, 2018, 08:47 How about not letting ourselves be stopped by that, but just do the math? 9 replies | 120 view(s) • April 22nd, 2018, 08:45 I like Serena replied to a thread Optics: Lenses in Physics Good! It means that we have the set of equations: \begin{cases} d_o+d_i=2.4 \text{ m} \\ f = 0.55 \text{ m}\\ \frac 1{d_o} + \frac 1 {d_i} = \frac... 6 replies | 87 view(s) • April 22nd, 2018, 08:29 We have$\varepsilon = -\d \Phi t$. This applies to all of the magnetic field that passes through the loop. And that includes the magnetic field that... 9 replies | 120 view(s) • April 22nd, 2018, 07:58 I like Serena replied to a thread Banach space in Analysis Hey mathmari!! (Wave) What you have is correct. So$X$is indeed complete and therefore a Banach space. And$Y$has a Cauchy sequence that shows... 6 replies | 78 view(s) • April 22nd, 2018, 07:32 Suppose we neglect the contribution of the magnetic field outside the solenoid? So we only consider the magnetic field inside the solenoid to find... 9 replies | 120 view(s) • April 22nd, 2018, 07:30 Hi Katsa333! Welcome to MHB! (Wave) Properly we have the function$g: \to \mathbb R$given by$g(x)=\frac{x+3}{2}=\frac 12 x + \frac 32\$. The...
2 replies | 38 view(s)
• April 22nd, 2018, 06:05
I like Serena replied to a thread Optics: Lenses in Physics
Attempt? Which formula applies?
6 replies | 87 view(s)
• April 22nd, 2018, 05:16
Welcome Olinguito! $$2x^2y^2-2xy+x^2+y^2-2x-2y+3 = (xy)^2 + (xy-1)^2+(x-1)^2+(y-1)^2=0$$ A sum of squares is 0 if and only if all individual...
4 replies | 69 view(s)
• April 21st, 2018, 19:37
THanks for your generous help, steenis... Peter
5 replies | 434 view(s)
• April 21st, 2018, 19:35
Well ... the two standard poodles are intelligent... but quite eccentric ... :) ... Peter
8 replies | 108 view(s)
• April 21st, 2018, 14:15
There was no inconvenience, except to you trying to post and to those trying to read the thread. It was bad coding on my part, done before I knew the...
19 replies | 514 view(s)
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