[ Small Business ] Open Question : What does the bank consider when you request a small business loan? ?

It might be a pipe dream but I desire to open an animal shelter that doubles as an animal boarding place to support some of the cost of the shelter. I am very young(22), have four years of experience in animal handling(either dog training or working at an animal shelter), but when it comes to the business side of things, I am a complete novice. When I talk to some of my co workers, they always recommend going to school and getting a degree in business if I want to have a chance of getting a small business loan. From those who have experience in loans or starting small business’, is this the case? What all goes into consideration on the banks part when considering you? Is a four year degree worth it? 

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Why does the numerical inverse laplace function FT for small times give erroeous results and what is the alternative

I am trying to do the numerical laplace inverse of a very complicated transfer function, subject to a trapezoidal pulse input. For the sake of understanding, I will use a simple transfer function to pose my question. I want to find out the output value during pulse on times, but numerical laplace inverse gives highly erroneous results for such time scales. Here is the pulse input that I am givingenter image description here

The mathematica code is the following:

Gtransfer[s_] = 1/(1 + s); T1 = 10^-9; T2 = 10*10^-9; T3 = 10^-9; Eo = 1;  Eint[t_] = Eo*10^9*t; Enet[t_] =    Eint[t] - Eint[t - T1]*UnitStep[t - T1] -     Eint[t - T1 - T2]*UnitStep[t - T1 - T2] +     Eint[t - T1 - T2 - T3]*UnitStep[t - T1 - T2 - T3]; Eins[s_] = LaplaceTransform[Enet[t], t, s]; fun1[s_] = Eins[s] Gtransfer[s];  thisDir =    ToFileName[("FileName" /.        NotebookInformation[EvaluationNotebook[]])[[1]]]; SetDirectory[thisDir]; << FixedTalbotNumericalLaplaceInversion.m t0 = 25 10^-9; Vnumerical = FT[fun1, t0](*Numerical*) Vanalytical =   N[InverseLaplaceTransform[fun1[s], s, t] /. t -> 25 10^-9](*Analytical*) 

You will find that for values of t0<12*10^(-9), numerical inverse laplace is extremely erroneous. Could anyone suggest me as to why this is so and how to fix this? My original transfer function is just too complicated to invert analytically. Thanks in advance!

What system can I use for a small scale battle? [duplicate]

This question already has an answer here:

  • Is there a proper way to handle large combat engagements with party members involved? 3 answers
  • How can I model the mechanics of an army battlefield scene? 2 answers

I am DMing an homebrew DND 5e adventure. My players are going to defend a village from an orc tribe. The village will have around 100 armed farmers. Players also gained support of a local dwarven mining expedition ( around 30 dwarwes ), and freed an enslaved kobold tribe from the orcs ( about 15 surviving kobolds ).

The village will be defended by 100 farmers, 30 dwarfs and 15 kobolds againts 50ish orcs and 30ish goblins.

They don’t know the exact numbers, I will adjust depending on how they will prepare for this.

I took a look at unhearted arcana mass combat, but I think it’s unlikely to be fun, interesting or balanced for this type of battle.

I would like the players (4 players) to be field commanders of this small army, each commanding a small amount of units.

Is there any system that can let the players play out the battle?

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Mount only small Portion of Hard Disk for DR scenario

I am currently working on failover my Local Computer to Cloud Platform with Cloud Endure.

The hard disk size of my local computer is 500 GB. I have Ubuntu 16.04 running on Local machine and it is taking only 12-15 GB. Even if the actual used size is 12-15 GB, CloudEndure is backing up all 500 GB hard disk which will be taking more than 2/3 days.

Even if I unallocate the remaining volume, it will back up all 500 GB. So, I am planning to mount only 20 GB harddisk out of 500 GB, so that the backup process will complete a lot faster.

So, How can I do this? What will be the process? Can anyone help me to cope with this scenario?

Hardness of QUBO problems with small spectral gap

I am solving Quadratic Unconstrained Binary Problems: $ \min\limits_{x\in {\{\pm 1\}^n}} x^\top A x$

Quantum Adiabatic Theorem states, that if the spectral gap of $ A$ (the modulus of the smallest non-zero eigenvalue) is large enough, then these problems may be efficiently solved by the quantum adiabatic evolution.

And vice versa, if the spectral gap is small, then the adiabatic evolution requires exponential time to converge to a ground state.

Are there similar results for classical algorithms? Are problems with the small spectral gap intrinsically harder for classical algorithms as well?

Does the rule on falling damage (1d6 damage for every 10 feet fallen) only apply to Small and larger creatures?

Does the rule on falling damage (1d6 damage for every 10 feet fallen) only apply to Small and larger creatures?

Suppose flying insects with 1 hit point attack the party, and a caster casts sleep into the air where they are flying 10 feet above. Should they take 1d6 falling damage?

This seems ridiculous for Tiny-sized creatures/insects who are designed to be able to withstand falls due to their exoskeleton and light body weight. If they do take damage, then should they immediately wake up from the sleep when they hit the ground?