This figure is from a Lin Alg textbook used in my uni and I'm trying to see how to format this in LaTeX. In the typical array environment, specifying the cols argument to get the vertical lines seems doable, but I'm not able to find out how to perfectly align the text, and also get the lines in the matrix right while also get the large 0 as an element.
This is technically not therapy for me but my grandma. She recently had a small fall which, due to her age, led to a fracture and a small dislocation which needs a small surgery. I'm a teen, my parents are travelling and will be back tomorrow, when she'll be admitted for the surgery.
The problem is, she's an extremely anxious person. Even with no health fears, she finds the minutest of problems (like her hand feeling a little numb for two seconds in one afternoon) and clings on to it like no tomorrow. Usually though, she alternates between composure and sudden bawling. And now this happened only aggravating the anxieties.
As a confidence measure she asked me to sleep beside her today, because she's on painkillers and wearing a sling for the fracture temporarily. However, neither of us is getting any sleep, because the whole night, she's not letting herself sleep and randomly getting into bouts of extreme grief and shouting. The composure periods have shortened and now she's just fearing even though I've comforted her as best I can and told her there's nothing to worry about and she has people to support her.
It's almost midnight now and nothing's getting better. What do I do?
How is 'vice versa' used? If we have a subject, an action and an object in a sentence like this: "[s] [a] [o], and vice versa", does that always imply "[o] [a] [s]"? Are there weird exceptions to this application?
For example, what happens if the sentence is like "[s = noun1] [a] [o = <something else> noun2]", e.g., "She visits my laboratory, and vice versa"? Is this a correct application to imply "...and I visit her lab", because the usual logic of flipping (to mean "my laboratory visits her" is completely nonsense) doesn't work?
For some context, I only recently began using a dryer, because I've been accustomed to using a drying rack. I use a commercial dryer that is used by many, since I stay in a common accommodation facility. I notice that after I wash my clothes with an ordinary laundry detergent (for 30 mins to 1 hour), the clothes have a fresh odour.
However, when I put them in the dryer, after cleaning the lint filters properly, for the same period of time, 30-60m, they come out stinking like must or mildew. They're hot but damp after the dryer, never dried. I've tried both the 'Hot' and the 'Medium' drying modes, same outcome.
I asked around as to why this may be the case, and whether it would be because it's a public dryer. But my friends always have no issues with their laundry load in the same dryers with similar settings. They always tell me, "Oh did you clean the lint filter?" I did it as best I could. Still, there's been no results.
I've tried reducing the load and also homogenising the class of clothes to put in the load, but yeah it's always hot, wet and stinky as hell. Am I getting my dryer etiquette wrong?
Wanted to ask for curiosity, what krithis (or any song type will do) do you know that need as much of a vocal range as possible? I'm mostly talking Mandra P to Thaara P, or close, but many go lower than Mandra P (to Mandra M, or in Tyagayya's Dudukugala, to Mandra R also) or rarely above Thaara P.
There might be many songs that fit this description, of course, but let's just say the more the instances of the vocal cords stretching, the more suited it is to mention here!
Off the top of my head, I think of Akhilandeshwari in Dwijavanthi, Adi by Muthuswami Dikshitar*. Typical renditions of this song, you notice many instances of Mandra P, hits Thaara G many times and Thaara P in the charanam.
