Lmst

Similarity = cosine(your_GitHub_stars, Karpathy) Client-side

https://puzer.github.io/github_recommender/

Day 24 of ‪Ayliean's @ayliean.bsky.social‬ #MathArtMarch thread Two pairs of #equal #equations: y=sin(x) equals y=x-x³/3!+x⁵/5!-...+x^(2n-1)/(2n-1)! y=cos(x) equals y=1-x²/2!+x⁴-...+x^(2n)/2n! See ALT, please! #mathematics #trigonometry #sine #cosine #Taylorseries #Taylorexpansion #Euleridentity

RE: https://bsky.app/profile/did:plc:enw4w6ihzt4uomkphuxuvczu/post/3lje6cgmacs2u

Visualization of the famous Euler identity with the help of this ingenious toy: https://www.matheretter.de/rechner/gfplot
The screenshot shows the functions f(x)=sin(x), g(x)=x, h(x)=-x³/3!+x, i(x)=x⁵/5!-x³/3!+x, j(x)=-x⁷/7!+x⁵/5!-x³/3! +x, k(x)=x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, l(x)=-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, k(x)=x¹³/13!-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x

Visualization of the famous Euler identity The screenshot shows the functions f(x)=cos(x), g(x)=-x²/2! +1, h(x)=x⁴/4!-x²/2! +1, i(x)=-x⁶/6!+x⁴/4!-x²/2! +1, j(x)=x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, k(x)=-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, l(x)=x¹²/12!-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1,

Innovative Dutch Technology Captures Historic Image of Mars and Deimos During ESA’s Hera Mission flyby

https://fed.brid.gy/r/https://spacenews.com/innovative-dutch-technology-captures-historic-image-of-mars-and-deimos-during-esas-hera-mission-flyby/

Day 13 of #MathArtMarch 13th: #zero e^ipi+1=0 I made this visualization of the famous #Euleridentity with this ingenious toy: www.matheretter.de/rechner/gfplot #sharingisthenewlearning #SharingIsCaring #mathematics #sine #cosine

RE: https://bsky.app/profile/did:plc:enw4w6ihzt4uomkphuxuvczu/post/3lje6cgmacs2u

visualization of the famous Euler identity The screenshot shows the functions f(x)=sin(x), g(x)=x, h(x)=-x³/3!+x, i(x)=x⁵/5!-x³/3!+x, j(x)=-x⁷/7!+x⁵/5!-x³/3! +x, k(x)=x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, l(x)=-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, k(x)=x¹³/13!-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x

Thrilled to get certified on Redis AI today, great course and certification on #Hash #JSON #VectorSeach #VectorSimilaritySearch #RedisVL #Enclidean #Cosine #IP #HNSW #FLAT. For Unstructured data (PDF, Docx, xlsx, etc…) It is extremely fast. #SemanticCaching #RedisMemory

Of course, I give "cossin" to my search engine, and it immediately thinks I'm searching for "cosine."

😩

#cossin #cosine #SearchEngine

Sin ? yes, sin and cosin (Sine & Cosine) are most understandable from mathematician, soft or hardware engineer to all forms of logical thinking professional field, once sin and cosin have been discussed and learned frequently, a society will logical became much more reasonable and knowledgeable to the universe which is full of knowledge for us to discover.

#Sine #Cosine #Knowledge #Universe

Word Search Puzzle 480

Word List : #crinch #somniate #endorsor #silicone #honolulu #lethally #amsonia #gasworks #cayuvava #snazzy #motivic #praying #aplombs #cosine #plowfish #tarworks #almah #risers

http://karafinance.com/2024/02/27/word-search-puzzle-480/

Some #Taylor expansion of #sine and #cosine in #Verilog, fixed point arithmetic 🎉

(With a little help from the large parrot machine.)

Screenshot of verilog source code.

Left: sincos.v

module main (
input [15:0] in,
output reg [16:0] sin,
output reg [16:0] cos
);
function [16:0] sin3(input [15:0] phi);
reg [31:0] phi3;
phi3 = (((phi*phi)>>16)*phi)>>16;
sin3 = phi-(phi3/6);
endfunction
function [16:0] cos2(input [15:0] phi);
reg [31:0] phi2;
phi2 = (phi*phi)>>16;
cos2 = (1 << 16) - (phi2>>1);
endfunction
always @(in) begin
sin = sin3(in);
cos = cos2(in);
end
endmodule

Right: sincos_test.v

module main (
input [15:0] in,
output reg [16:0] sin,
output reg [16:0] cos
);
function [16:0] sin3(input [15:0] phi);
reg [31:0] phi3;
phi3 = (((phi*phi)>>16)*phi)>>16;
sin3 = phi-(phi3/6);
endfunction
function [16:0] cos2(input [15:0] phi);
reg [31:0] phi2;
phi2 = (phi*phi)>>16;
cos2 = (1 << 16) - (phi2>>1);
endfunction
always @(in) begin
sin = sin3(in);
cos = cos2(in);
end
endmodule

Screenshot, two terminal windows:

Left: the verilog test output, table:
time steps from 0 through 7,
phi from 0x000 in steps of 0x1337 to 0x39a5,
sine values in fixed point hexadecimal,
cosine values.

Right window: the same calculations using the termincal calculator "bc", set to hexadecimal format.

comparing e.g. the last row:

cos(0x0.39A5) = 0xF98AA4E5… ~ 0x0.f983

in decimal numbers, this would be
cos(0.2251) = 0.974771… ~ 0.97466

Kaze Emanuar’s Adventures in Mario 64 Optimization: Calculating Sine
I've mentioned Kaze Emanuar's efforts to make the best Mario 64 there can possibly be on its native hardware. He's compiled it with optimization flags turne
https://setsideb.com/kaze-emanuars-adventures-in-mario-64-optimization-calculating-sine/
#development #niche #retro #cosine #development #kazeemanuar #mario #mario64 #math #n64 #niche #nintendo #optimization #retro #sine #taylorseries #trigonometry #video #youtube

Semantic search with cosine similarity. Models from huggingface.co are really nice to work with.
https://owehrens.com/semantic-search-with-cosine-similarity/ #cosine #semanticsearch @huggingface

Been a week since #COSine 2023 and I am mostly recovered! @marthawells was a fantastic guest (really nice and really smart) and I _think_ we may have broken our all-time attendance record!

@gabrielpeyre #synthesizer #music #sine #cosine #mathematics

HOW SINES AND COSINES WORK

#Trig #Trigonometry #Sine #Cosine

You have understood sines and cosines since you were two years old; you just didn't know the terminology.

Let us start with a diagonal line; a slash will do:

/

Now, do you agree that the line travels up and to the right? (Of course you do.) Do you also have a sense that the amount of "up" and the amount of "right" is related to the angle? (I imagine you do.)

The "sine" is just how much "up" you get with a given angle. and the "cosine" is how much "right" you get with an angle. Sines and cosines range from -1 to 1; when they're negative, you can think of them as "down" and "left" respectively.

That's all sine and cosine are: they tell you how far vertically and horizontally you go for a given angle. And as promised, you knew that even as a toddler: steep angles go up a lot, gentle slopes do not.

You can also think of sines and cosines as percents, that go from -100% to 100%. People don't do that in common practice, but you can think in those terms if it makes things feel more right. For example, the sine of a 30-degree angle is 0.5, OR you can think of it as 50%. So if you draw a 10 inch line at a 30 degree angle, that line will end up 5 inches up from where you started: 50% of 10 inches is 5 inches.

Nice little adventure, but having limited precision can lead to more accumulated errors in your calculations 😬:

“Implementing Cosine In C From Scratch” [2020], Austin Henley (https://austinhenley.com/blog/cosine.html).

Via HN: https://news.ycombinator.com/item?id=30844872

#Math #Trigonometry #Cos #Cosine #LibC

Extreme Espresso, Part 2: An Inductive Water Level Sensor

[Mark Smith] must really, really like his coffee, at least judging by how much effort he's put into tricking out his espresso machine.

This inductive water tank sensor is part of a series of innovations [Mark] has added to his high-end Rancilio Silvia machine -- we assume there are those that would quibble with that characterization, but 800 bucks is a lot to spend for a coffee maker in our books. We recently featured a host of mods he made to the machine as part of the "Espresso Connect" project, which includes a cool Nixie tube bar graph to indicate the water level in the machine. That display is driven by this sensor, the details of which [Mark] has now shared. The sensor straddles the wall of the 1.7-liter water tank, so no penetrations are needed. Inside the tanks is a track that guides a copper and PETG float that's sealed with food-safe epoxy resin.

Directly adjacent to the float track on the outside of the tank is a long PCB with a couple of long, sinuous traces. These connect to an LX3302A inductive sensor IC, which reads the position of the copper slug inside the float. That simplifies the process greatly; [Mark] goes into great detail about the design and calibration of the sensor board, as well as hooking it into the Raspberry Pi Zero that lies at the heart of "Espresso Connect'. Altogether, the mods make for a precisely measured dose of espresso, as seen in the video below.

We'd say this was maybe a bit far to go for the perfect cup of coffee, but we sure respect the effort. And we think this inductive sensor method has a lot of non-caffeinated applications that probably bear exploration.

#cookinghacks #coffee #cosine #epoxy #espresso #inductive #linear #liquidlevel #lx3320a #raspberrypizero #sine

#COSine

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