#differential calculus

At the start of episode 2 he’s answering some questions, including why there’s only 1 bias for the formula.

Well.

If you knew anything about linear algebra, you’d know why there’s only 1 bias 😒

(It’s because the formula is just y = mx + b, where b = the constant = the bias, and the weight = the slope = m. So the formula/coding a neuron in a neural network is y = mx + b, and there’s an “mx” for every previous neuron. So in his example, it’s y = mx + mx + mx + b. And each individual neuron performs Gradient Descent to determine if it’s active or not, ie the lowest point of all the slopes put together).

Comments under The Grok Video, but it’s how we feel about Caine and Bubble

[ link to video under the cut ]

(We can understand neural networks being created to help with computation because doing this shit by hand is INSANE and TIME CONSUMING. so we can understand how. like with science. using information to try and predict an outcome- for example, if a mouse’s weight correlates to their height, and if you have one or the other can you predict the other -so seeing what AI is used for today is like. A Kind Of Horror. What’s the point of an AI that spits back out stolen words or images at you. There’s literally no merit to it. Someone just did it to see if AI Could. And *these* AI have billions and trillions of neurons. To regurgitate stolen content. The Puter Craves Math. Put Numbers In It. Not Blorbos. Not Porn. Not Summaries. Numbers. Feed It Numbers.)

Our running theory is that it’s because it’s Calculus, which just. does. NOT. make sense on our brain.

Algebra?? We can do that all day. We enjoy doing it. Algebra is fun and exciting. Joy and whimsy is stored in the Algebra. Algebra is how we understand that Math Is Science Is Art. We understand that Waves Are Math Are Hypothetical Places A Particle May Be (because we don’t actually know for sure where a specific particle is at any given point, but we know that light particles behave differently than radio particles and we can map these waves out with Math). We understand the fucking Primrose Diagram and how for us, time only moves forward while you can move anywhere in space, but, according to the math of the Primrose Diagram, the X and Y axis are inverted, so that once you cross the Event Horizon of a black hole, space moves forward but you can “move” anywhere in time.

But we don’t understand a Sigmoid. We don’t understand a ReLU. And we SURE as fuck don’t understand Cost.

© Paolo Dala

The Real Only Thing Constant In The World

Scientist and mathematicians found out that the only thing that is constant in this world is change and they did not have the math to describe. With this, Isaac Newton and Gottfried Wilhelm Leibniz developed calculus...

Despite my class (I'm teaching High School Calculus) being all about a field of mathematics that was born because everything in this world is moving and changing, I want to remind my students that we worship some one who is the True Constant as described in Hebrews 3:8:

Jesus Christ the same yesterday, and to day, and for ever.