A list of puns related to "Integral linearity"
HAPPY NEW YEAR!
Sharing how I managed to retrofit my garage door opener and light to work with Ring and HomeKit through Homebridge. Wanted to be able to automatically close the garage if left open after 10 PM.
Used a Zooz ZEN16 Z-Wave multirelay (mods in green box):
The door is controlled by Relay 1, the light by Relay 2. A 100 ohm resistor is "inserted" when Relay 2 is closed which tells the controller to turn on the light.
Note that relays only need to switch on momentarily to control the door and light which means a second tap on the switch in the application is needed to toggle it off again. Used a HomeKit automation script to turn off the relays 1 second after being turned on.
Toggle Garage door switch after 1 second
https://preview.redd.it/v4tn8ar3b5981.png?width=620&format=png&auto=webp&s=ee6943bfb298c8bc8a981c69b9711bb0f2465415
Toggle Garage light switch after 1 second
https://preview.redd.it/lcg34rp5b5981.png?width=630&format=png&auto=webp&s=309af584b6e860a631e9879c6a80ef45e0f14dae
The scheduled Garage Door check automation:
https://preview.redd.it/lmbourb095981.png?width=1028&format=png&auto=webp&s=7c9bf282515bee04070ba3528d4074e94e919243
https://preview.redd.it/r0yus3rj95981.png?width=1128&format=png&auto=webp&s=b511e6acaa3bc225bce294c17f08bbcb7f620fa5
To take it further - I added a text alert to my phone by adding a Homebridge Messenger switch to the automation.
https://preview.redd.it/byyltmk2a5981.png?width=666&format=png&auto=webp&s=ffe55f65778476ed67bee5cea403e483b334635c
That's it! Happy Tinkering!
I am given this problem:
Find the polynomial 𝑞∈P2 such that for every 𝑝∈P2,
𝑝(1)=∫1−1𝑝(𝑡)𝑞(𝑡)𝑑𝑡
Is q unique? Justify your answer.
Note: reddit formatting isn't allowing some symbols to show, but the definite integral is from 1 to -1, and P2 refers to the 2nd degree polynomial vector space.
I don't know how to approach this problem at all. I know that it has something to do with the inner product and I've seen similar related questions on stack exchange but I don't even know where to begin. Any help would be appreciated !
Hello,
I am in some need of some help with these proofs and cannot seem to figure this out would anyone be able to assist?
I have attached the image below: https://imgur.com/a/dQnFp8H
Thank you so much I am desperate for help beyond words.
Hi I am currently working on a project in university and would like ask for some advice. For my project, I require something is able to move only in a one direction linearly and springs back when a sort of latch is released. My current idea to place a rack on a spring and attach a ratchet to its pinion. This way, as the rack is pushed down the ratchet pawl holds it in place vertically and when the pawl is released the spring pushes the rack upwards again. However, I feel that this mechanism is rather cumbersome. Are there any integrated products that achieves this function on the market currently? Thanks!
edit: I'm from Singapore.
Hello. I have a problem. The input of the integrator is sine, so the output should be cosine, but it's linear. What's the reason and how to fix it? Link with screenshots: https://imgur.com/a/e3eDnGF
An update was made to Linears Github a couple of days ago:
https://preview.redd.it/xmnzcxlrtav61.png?width=1134&format=png&auto=webp&s=9443a8c0d4a5858b85e8b1741229805bd3d2acfe
As per the team's plan, the smart contracts have been completed and now it is time to execute the front end! :D
What can we expect from vaults?
While the finer details are still not entirely clear, it appears are though there will be two vault options:
a dynamic interest pool and a fixed rewards pool.
To quote another Linear Finance user (@JulesOnTheBeach https://t.me/tradelina)
>Linear has begun deploying (as seen in GitHub) the code on the backend for a new product, Vaults, of which there will be two kinds .. one providing a dynamic interest rate return to subscribers .. the other providing a fixed interest rate return to subscribers .. in both cases, subscribers will need to lock their tokens in for a defined period to earn those interest rate returns .. when locking in tokens, subscribers will receive an Interest Token .. presumably this Interest Token will be used to redeem and collect interest rate returns .. though feasibly, the Interest Token could be staked somewhere else during the period a subscriber's initially locked tokens are held in the Vault they have subscribed to
I've been dealing with an integral which is basically an integral that can be solved with polar coordinates the issue is it has a straight line going through it.
Basically for the integral
f(x) = xdxdy with constraints
D = {x,y ; 0 <= y< =1/2 , (x-2)^2 +y^2 <= 1}
I managed to turn it into polar coordinates and it gets me one constraint which is 3/r < r < 4cos(θ) which doesn't make sense since the circle is going from 1 to 3 in the x axis. Also since it's 2 constraints I don't know how to get values from both constraints into reasonable limits of integration.
Anyways I managed to get the answer by dividing the circle into a triangle and 2 slices of the circle and since the function is linear that means that both sides will complement each other .
My answer ended up being sqrt(3)/2 +2*(pi/6) which the system says its correct but I'd still like to know how exactly integration works with shapes that look like this.
Thank you
Alright, so I'm practising first order differential equations, but I keep getting stuck on this one problem:
x*y' - 3y = x^3; y(1) = 10
y' - 3/x * y = x^2
Next you need the integrating factor:
P(x) = 3/x
rho(x) = exp(integral 3/x dx)
Now when I calculate this I get:
exp(3ln(x)) = exp(ln(x^3)) = x^3
But Symbolab gives 1/(x^3) and I don't understand why?
After this I just need to solve:
d/dx(y*rho(x)) = rho(x) * Q(x)
**RANT STARTS HERE**
I cant do any kind of basic math but I can always set up complicated things. Trying to solve 4 (four) problems of line integrals for 2 hours. 2 hours at 4 problems. I can set up parametric equations, set curves, find bounds, but I can't take antiderivative. Every integral in the end always goes to the u-substitution and I am not smart enough to set "u" to which value, substitute which value. I can set up triple integrals too, I can set up multiple integrals, surface integrals but in the end, I always have to give up because I cant simply think "oooh, which value I should substitute for u here?" and the problem is over. Calculus III is a huge IQ test for me and my self-esteem is going lower and lower day by day.
Like how. Just how. https://prnt.sc/26ch8yd My brain can do all of em but cant do a fucking stupid piece of shit called linearity and u-substition and i will fail my classes because of that two, my computer engineering classes needs CalcIII and PhysII as prerequisites %90 of the time and I will not continue my major till I pass this two courses. Forever. AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
**RANT ENDS HERE**
Please someone explain to me how to do U-Substitutions like I am 60 IQ. Please.
Overview:
I have finally established an idea about how to fix the Thieves Guild faction in order to make it more reasonable and logical to play while getting it as close to 100% completion as possible without unnecessary and out of place grind. This instruction will help you to play through all the quests involved with the Thieves Guild and it fits players who want to roleplay and/or play a commentary playthrough. However, you need to install few mods related to Thieves Guild in order for this to work. This instruction relies on the player's ability to basic modding, roleplay and use of imagination throughout the Thieves Guild questline, I won't be keeping your hand while you are playing using this instruction. There are few issues and details that affect this instruction to be not so perfect which I will talk about at the end of this post.
Mods:
Why the current Thieves Guild sucks:
There are multiple issues and reasons in the vanilla Thieves Guild that "forced" me to think about and create this instruction:
I can't post images so I'm going to show the function using ASCII characters:
_____/¯¯¯¯¯¯
I'm trying to find a function of this shape. How can I find it if it's constant at the beginning then starts raising then becomes constant again for the latter part? Can it be expressed as f(x) = ... or do I need to separate this function in 3 parts?
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Official announcement 👉 https://medium.com/bandprotocol/31a3420bd7f
Spread the word 👉 https://twitter.com/BandProtocol/status/1327192458044735488
🚀 Linear Finance, a cross-chain compatible derivative asset protocol to cost-effectively and create, manage, and trade synthetic assets - has partnered with $BAND to integrate decentralized price feeds on the Linear Exchange trading platform.
Official announcement 👉 https://medium.com/p/57886f01058d/
Spread the word 👉 https://twitter.com/BandProtocol/status/1328281103191314433
I'm in EE and I only enjoy math when I see it's real applications, it could help me understand better
Thank you !
Just finished my first semester math course. It was a mix of algebra, Boolean, graphs, linear equations, factoring and a few other things. Barely scraped by. Should have invested in a tutor. Next term I have calculus and I always hear how difficult it is. For those working in software development/programming, what level of math are you ?
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