Linear time property Puns

From the way i understand it, time dilation occurs because the universe always makes sure light never goes faster than c.

But then, why isn't it linear? If we have a spaceship moving at c/2, light inside the spaceship is moving a c plus c/2 (the velocity of the spaceship). So i'd expect the Lorentz factor of time dilation to be about 1.5. But it isn't. Instead, we find that time dilation at c/2 is very mild.

Why's that? Why aren't laws of physics being broken? Isn't the light inside the spaceship moving at a total speed that's faster than c?

I do aerospace engineering and so i'm not afraid of a mathematical explanation, but i'd love to get a more concrete one as well,

I'm using a lot of linear algebra in my MS classes, and I have never really understood eigenvalues/eigenvectors. I'm trying to figure out whether they should be thought of as just peculiarities of the matrix values, or whether they fit into some clear geometric metaphor about how matrices work.

It would help especially to know how other core properties affect the eigenvalues of a matrix. For example I know that normal (and in particular unitary and Hermitian) matrices have a full set of orthogonal eigenvectors, and I could google a proof for this, but I don't have any conceptual intuition about why this is.

Also, when do matrices lack a full set of eigenvalues? Is it just when a matrix is singular? Is there some geometric intuition about what a defective matrix does to vectors in the R^3 space?

Thanks for reading

//SkyPirate

I'm designing a balloon gondola which has a structure comprised of aluminum honeycomb panels (1" thick panels, 0.02" 6061-T6 AL skins, and 0.96" 3003/5052/5056 AL core). I have data from the manufacturer for the core Bare Compressive Strength and Modulus, and the plate shear (length and width) strength and modulus. Additionally, I have Stabilized Compressive Strength, Flexural Rigidity (per unit length) , Flatwise Tensile Strength, and Climbing Drum (per unit width) for the full panels.

When trying to create a linear elastic orthotropic material from these data, I'm finding that I still need the poisson's ratio in 3 directions and the yield strength, but I'm unsure what to use for these.

For the density of the core, I'm using the stock value of 3.6 lbs/ft^3.

Since I have no data for, and they're only optional, I have left the Tensile Strength in X and Y, Comp Strength in X and Y, Shear Strength in XY.

I'm a little lost on what to use for the Yield Strength. Recommendations?

The reason I need to model things as accurately as possible is that ultimately, I will be performing a frequency analsysis to find the natural frequencies for the assembly. A camera will be installed in a specific location, and we need to know the natural frequency to determine the maximum frame rate of the camera to ensure any modes of the structure won't blur the images.

I have tried modeling a simple 6" x 18" x 1" thick panel, fixing one end (6"), and applying a 10-lbf to the other end (6"). I'm using mid-surface planes to model the core and the skins for this panel. From there, I am using surface contactors to bond the skins to the core, and the skins to other parts in the model. However, when I do this, I get a deflection for this single panel on the order of 5" at that end and it attempts to go into large displacement mode (if I accept, then it fails because orthotropic properties are not compatible with large displacement mode.

Alternatively, does anyone have a proven method of modeling aluminum honeycomb panels as a single linear elastic isotropic material, so I can simplify my modeling and use just a single shell for each panel?

I was solving some problems from my Linear Algebra book (Calculus in Vector Spaces by L. Corwin and R. Sczarba, 2nd ed), and I've fought the good fight so far, but I got stuck on this one. It's in a section about Orthonormal Bases (after having introduced inner products and norms). Here's how it goes:

https://preview.redd.it/qzw9apn9lbv31.png?width=668&format=png&auto=webp&s=317e8f7b70187bd33391fddb9583196cae6d5179

First, I tried to assume that v and w were orthogonal so I could write an equality for |v - w |****^(2) = |v|****^(2) + |w|****^(2) but it got me nowhere.

Then, I tried |f(v+w) - f(v) - f(w)| = |v + w - v - w| = 0 but I'm not so sure it works because the initial definition is set for two vectors and not three.

If you guys can help me, it would be great!

I keep doing this problem, and I keep coming to -8/9x-8/9

So the slope from the parallel I get is 8/-9, which I think just turns into -(8/9)

So far y= -(8/9)x + ?

So I solve for b

-1 - -(8/9)(1/8) or (-.88)(.125)

-1 - -.11 = .89 or roughly -8/9

Where am I going wrong?

My wife's and my knowledge of home/land buying is limited to her mom's suggestions we buy extremely rural and at least 2 acres for our first purchase.

What are some good resources we can use to educate ourselves on modern real estate markets and land speculation? Would a fiduciary be a good resource to get started? I get a few sessions with a company fiduciary at work as a benefit and I'm considering scheduling an appointment, but I'd really like to arrive with some preliminary research done so I know what to ask and to make the most of the time.

Essentially this boils down to "we don't know what we don't know". We live in Austin so property values can get pretty high in the city. but there are lots of options in surrounding suburbs.

Information on the MOE (Final) and coefficient of linear expansion are particularly scarce and they are so important when modelling clearances! I'm hoping someone can share a table for all, or as many conductor types as possible! Please!

Would really appreciate any help on this, thank you.

Investigation about the effect of transition metal doping on structural, electronic, energetic, linear and nonlinear optical properties of Be12O12 nanocluster is the subject of this research. Results indicated that transition metals doping process leads to narrowing the energy gap (Eg) of them. Evidently the dipole moment and polarizability value of Be12O12 nanocluster increases because of that transition metals doping.The first hyperpolarizability value dramatically increases as substitute a magnesium atom with a transition metal atom. Among the transition metal atom doped nanocage, scandium has the largest first hyperpolarizability value (β◦ ≈ 4953 au). Also two-level model indicated that first hyperpolarizibility has severe dependence to excitation energies. The result of TD-DFT calculation indicates that the β0 has similar behavior as β2 which confirm the results of β0 obtained by ab initio calculation.

So, I was due to move into the property on the 1st of October. On the day the agents called us up and said that it was currently uninhabitable and we'd have to wait for work to be done before moving in. We still had two weeks left on our old tenancy and on the assumption the work would be done in a reasonable timeframe we didn't worry.

On the 8th we signed the tenancy agreement and paid all the costs such as rent and the deposit. We started moving possessions in on the 8th but still could not live there.

Over the next two weeks no contractor was booked in and they had no confirmed date for the works. Our old tenancy ended and we were unable to move into the new property, which left us homeless until the work was completed. The agents were aware of our situation.

On the 22nd the work was completed by their contractor and by the evening we could move in. We spoke to them concerning rent for the period that we couldn't live in the property and were informed that we were liable for it. Our contract however clearly states that if we can't live in the property due to it being uninhabitable that we would not have to pay for that time. Even telling them this and referencing the contract they've come back saying that we're still liable.

We've also has significant other issues with the property. There's a strong urine smell in one of the bedroom, the oven didn't work (fixed yesterday), rodents chewing electrical wires almost causing a fire and just generally being in the property, mould in the freezer, broken dishwasher, burned electric sockets, broken doorhandles, warped keys that don't work as well as some aesthetic issues such as food on the ceilings, walls and floors and significant staining to the carpets and window ledges as well as other issues. All of which they aren't sorting even though we're now a month into the tenancy. We were never told about these issues however they are now telling us we were informed and that we agreed to the works being done after we moved in.

The only works we were spoken too about was the mould in the bathroom and we obviously didn't move in until after this was sorted. It took them over a month to fix the oven which led to us almost getting food poisoning through raw chicken. I'm just at a loss and now every time I try to bring up and issue or resolve the rent debate I'm sent back a rather snotty email. I have no idea what steps I should take next considering the estate agents are no longer being helpful or friendly.

I'm trying to understand the tensor product (in particular over vector spaces). As far as I understand, we define the bilinear map [; \pi:U\times V\to U\otimes V,(u,v)\mapsto u\otimes v ;] and we claim that for any bilinear map [; \beta: U\times V \to W ;] the mapping [; \tilde{\beta}:U\otimes V, u\otimes v\mapsto \beta(u,v) ;] defined only on the simple tensors can be extended linearly to the entire tensor product space in a unique way. Is that correct?

How would one prove this from, say, the quotient space definition of tensor products?

https://preview.redd.it/6x6rv27pm0x71.png?width=1050&format=png&auto=webp&s=242323a565ef5dcdfc18a38f8f87c533c60c8b36

CONTEXT BTW: https://clips.twitch.tv/SavageShyCasetteResidentSleeper-MSYd-xmZ6fdjB3ub

I know I can’t be the only one who is not a fan of this growing frequency of non-linear storytelling. The back and forth between time periods that are days, months, or even years apart is hard to follow and really get immersed in. It’s frustrating to be engrossed in one part of the story and then get forcibly launched forward 20 years. I can’t truly connect to characters when I’m seeing them at 8 years old and 28 years old nearly simultaneously.

I’ve experienced this in video games, books, television, and movies. And yes, this has been employed probably forever but it seems to be growing in popularity these past few years. The latest offender is Station Eleven on HBO Max. I stopped reading the book because of this so I don’t know what I was expecting but I honestly feel like this style takes so much away from the story. It leaves you with more questions than answers from beginning to end because it’s so busy, it’s way too easy to miss or forget details.

Idk. I’m just not a fan. I truly do not have the attention span for this.

Let [; I \subset \mathbb{R} ;] and [; f:I \to \mathbb{R} ;]^2 be a smooth mapping such that [; || f(t) || =1 ;] for all [; t \in I ;].

Prove that [; f'(t)=\det \left( f(t), f'(t) \right)Jf(t) ;] where [; J = [[0,1][-1,0]] ;] ([0,1] and [-1,0] are column vectors, I'm now sure if it's standard to do row or column vectors in this case.)

I have this narrowed down to proving that the inner product of f(t) and f'(t) is 0 and I haven't used the fact that it's a smooth mapping yet. I know that a smooth mapping means that the function is infinitely differentiable. Dunno what this would have to do with otherwise.

Methodology that I used involved defining [; g:I \to \mathbb{R} ;] and [; h:I \to \mathbb{R} ;] such that [; f(t) = [g(t),h(t)] ;] (and [; f'(t) = [g'(t),h'(t)] ;] ) . Is this legal? With that defined as such, I have [; \det \left( f(t), f'(t) \right)Jf(t) = ;] [h^2 g' - ghh', g^2 h - ghg' ] and I can't use the fact that g^2 + h^2 = 1 unless hh' = -gg' or [; \left< f(t),f'(t) \right>=0 ;]

Any help would be greatly appreciated!

They do nothing that would make them a more favorable choice over other heavy weapons in any situation. dps? heavy snipers, grenade launchers. ad clear? machine guns. riven? rocket launchers with cluster bombs.

swords are a whole another issue so lets leave them out of this specific discussion.

Linear fusions bring nothing to the table. their damage numbers are similar to special ammo snipers yet they require heavy ammo and have charge time. i think the least they could do for them is move them to the special slot.

Hi all,

I recently had an offer accepted on a property (first time buyer here) but the valuation has come back around 23k under the agreed sale price.

I personally believe its way off as I've exclusively been looking in said area and know it relatively well (at least, I thought I did!).

I'm contesting the valuation but have heard its rare that an decision is overturned.. despite having sent sufficient supporting evidence of recent sales nearby.

I've looked in to applying with a different lender and have checked that they don't use the valuation firm that down valued the property (to avoid the same happening again!)

Has anyone had success in using a second lender (and a different valuation company) in this type if situation?

Any and all advice welcome! Thanks in advance!

EDIT: Found out the valuation guy hadn't even shown up (wasn't meant to be a desktop valuation) and they were under the impression the lease was waaaay shorter than it actually is.. (I have the docs from the land registry)

So instead of sending someone else out or actually confirming the lease was the correct length, they simply refused to budge.

I applied with a different lender whos valuation came back in 2/3 days and agreed with the original sale price! Crazy.