That's really cool, thanks

How can one multiply a value e.g. 10 kg in this system? I don’t agree that one can handle the exponentials as entries in an vector 🤔.

I'll come back after 4 or more years, probably

amazing

Did anyone put in the work and retrace all the arbitrarily inserted extra months (are those even recorded anywhere?) to calculate an exact modern date for the resurrection based on the gregorian or solar calendar?

Great video! Very well explained. I have a question. Is the amount of substance vector a representation of the unit quantity? i.e, 5 seconds would be (1,0,0,0,0,0,5/Avg#). Then any quantity of any unit could be defined by 7 values. Not sure if this is related to the vector thinking, or useful, but wanted to know your thoughts.

First question → what is dimension?

777,077th view

This is how LLMs' vector embeedding works! I think Same general idea ig

Vauxhall made the Vector.

You used the same font as the "Survivalcraft" minecraft clone (pretty awesome btw) on the titles of the unit tables at the start of the video

I have recently discovered the CGS units as well as natural units, and now my favorite system of units is the one with the 3 base units of Planck length, Planck mass, and Planck time. While not a practical system of measurement, I enjoy that all physical quantities, including electric current, temperature, mols, etc., can be broken down into units of mass, length, and time, and I enjoy that Planck units seem less anthropocentric. So really, I see all units as being 3 dimensional.

I still dont understand but everytime I watch one of these videos I get it a little more

Funny things is that mol isnt really a dimension but rather a number

Great video. Thanks for generousity as you shared the spreadsheet, that's amazing! I think it would also be great if you could write this as a short lecture note. Thanks again.

Why everything you can measure is a vector

Yeah, they are dimensions. Except moles that is.

When linear algebra started I got ptsd foe this past semester

I thought mass was a scalar quantity. This is confusing me.

Bravo!

Amazing. Can you buy yourself anything by doing the same thing to the base encoding? I've always felt integer base systems were a mistake and that we should use base π or radians type thinking as default since it shows up naturally in so many domains.

As a person simply interested in mathematics, your video is extremly helpful and shows the utilisation of matrices in a very intuitive way. Good job

Candelas aren't real and they can't hurt you.

conclusion: religion is stupid

Explain how this is useful to stellarchrotography ?

No one knows

Time and calendars were changed no one knows

A most brilliant work if I may say so...! Thank you...!

That's why they say math is a language. As precise and agreed upon as the idea of mathematics is, it is still just one explanation out of a seemingly, quite possibly infinite amount.

The thumbnail is a little clickbaity, but the video is amazing

very eye opening

Wait, no, mass is not a vector. The units of mass are a vector in unit-space. (“Mass is a vector” implies the property is a vector in space)

I'm surprise that electric current rather than electric charge is treated as fundamental.

Why do physicists insist on saying "length" instead of "distance"? The mile and the kilometer are units of _distance_.

Technically, we can measure everything with just TWO base units. Energy and Mass.

loved this! On Wednesday i am writing my linear algebra I exam and its so refreshing to understand these concepts of linear algebra, which i would have not understood before So insightful, thank you!

Mass is NOT a vector. Vectors have a direction component but mass represents an amount of matter and has no direction. So for all of you who learnt something, learn from somewhere else!

I was taught that the Kilogram was based on the weight of 1 decimeter cubed of water at sea level, in liquid form.

Mass is scalar, weight is a vector

All SI units can be converted to ratio’s of length and time units. Xavier Borg wrote a very nice article on that.

"But vectors can represent anything we like, so long as we find it helpful" - Quote Of The Century

As a layperson, I often come across videos thay end up being beyond my comprension. It usually goes in three stages. 1. "Oh, this is easy stuff." 2. "Okay, I think I may understand...." 3. "And you lost me. I dont understand." This video somehow existed in the second phase of the series from the start to the finish. It was odd to experience; like constantly falling off a tight-rope but it somehow staying under you.

Frog emerge from Tª-d/d+P⁰L=E

FORTNITE

It's the three lengths that get everyone. Radians ARE a 'unit'. Radians represent the missing or lost units when typically ratios of non-colinear lengths dimensions are cancelled with no residual indication that you've lost something. E.g I'm 2 radians taller than my daughter, but, what, wait...? And then there is the problem of the confusion between a 'dimension' and it's unit. Oh, and that scalars are 'independent' of other dimensions, so are countable... [edit].. thus we should have a 9 dimension vector of 'dimensions', rather than 7 because lengths count as three dimensions not 1.. Steradians for the win ;-)

Does anyone know what software was used to edit this video

What did I just watch?

I would argue that the Planck quantity (equivalent of mole) should be `1 item`.

Several formulas do have roots btw. First one I can think of is that time period = root g/l, time period of a pendulum. I forget the SHO formula for a spring but I believe it's root k/m or root m/k

I discovered your video, I am Julio Isay Rios Velazquez and reclaim to be the owner of the knowledge you provided me. (remember me)