الأوزان والانحياز والمجموع الموزون

A neuron is the tiniest unit of a neural network. It takes a few numbers in and produces one number out. That is the whole job. 🧠

Every neuron receives inputs as numbers, like pixel brightness or a price. Anything you can measure can become an input feeding the neuron.

Each input is paired with a weight that says how much it matters. Big weight means strong influence; tiny weight means the neuron mostly ignores it.

The neuron multiplies every input by its weight, then sums the results. This running total is the heart of the weighted sum.

The bias is an extra number added at the end. It shifts the result up or down so the neuron can fire even when inputs are zero.

Put it together and you get the famous line w·x + b. Weights times inputs, plus bias. Almost every layer in deep learning starts here.

That weight-times-input sum is exactly a dot product. Writing it as w·x lets you handle two inputs or two thousand with the same idea.

Here is the weighted sum in plain Python. Loop over paired weights and inputs, multiply, and accumulate the total.

The final number is a score: higher means the neuron leans yes, lower means it leans no. A later step turns this score into a real decision.

You do not hand-pick weights. Training nudges each weight up or down until the neuron's scores match the answers you want.

A high bias makes a neuron eager to say yes; a low one makes it cautious. It sets the baseline before any input arrives.

A neuron multiplies inputs by weights, sums them, and adds a bias: w·x + b. Weights set importance, bias sets the baseline, and the result is a score. 🎯