number theory terms like 'number' and 'Gauss'

What this neuron does

This neuron lights up on maths words, especially 'number' in phrases like 'algebraic number theory' and the name Gauss. When it was turned up, the model's writing drifted toward maths problems about multiples and common factors.

Written by Claude from this neuron's activations and steering outputs. Confidence: high. Think it is wrong? Flag it (opens a prefilled issue on GitHub).

Fires most on

The text windows where this neuron's activation was highest. Amber marks positive activation; the outlined token is the peak. Hover a token for its strength.

1. #1 peak

   classically Diophantine geometry), a subfield of algebraic number theory.⏎- The study of the real points of an algebraic variety is the

2. #2 peak

   als. The quadratic residue Gauss walk exhibits a more complex behavior whose shape is roughly determined by the remainder of modulo

3. #3 peak

   , takes steps given by the terms of the exponential or quadratic residue Gauss sum modulo , and ends at the value of the Gauss sum. By a famous result of Gauss, if the modulus is a prime number, the two walks always end at the

4. #4 peak

   with coordinates in an algebraically closed field.⏎- The study of the points of an algebraic variety with coordinates in the field of the rational numbers or in a number field became arithmetic geometry (or more

5. #5 peak

   by different equations.⏎Algebraic geometry occupies a central place in modern mathematics. The concepts it uses connects it to such diverse fields as complex analysis, topology and number theory. At the start, algebraic geometry was about studying systems of polynomial equations

6. #6 peak

   ured members. Similarly, our estimate predicts 2.5 members starting from 86. It is easy to check that the sequence doesn’t contain any more numbers below 200 and our estimate predicts 0.07 members after

Steering

Push this neuron up or down while the model writes, and watch what changes. The outputs were generated ahead of time, so nothing runs in your browser.

Most negative on

Where the activation went furthest below zero. Blue marks negative activation. Many neurons mean something different in each direction.

1. #1 peak

   how to keep them from destroying your landscape.⏎Symptoms Of Oak Spider Mites:⏎Spider mites cause damage by sucking cell contents from the leaves. You most likely will not notice anything odd when m

2. #2 peak

   Xyleborus glabratus.⏎Adult females construct galleries in the sapwood and inoculate the galleries with a fungus (Ophiostoma sp., vascular wilt pathogen). The adults and larvae feed on fungi and not on the wood of

3. #3 peak

   . In 1981, Chile was officially declared FMD-free without vaccination, after complying with all international health requirements.⏎Foot-and-mouth disease (FMD) affects mainly swine and related wild ruminants and is characterized by so

4. #4 peak

   ured at the base, where bees occasionally bypass their pollination task by biting through the flower wall to “rob” the nectaries. Watch too for bees landing on discolored leaves and licking them; this behavior transmits Monilinia

Which neurons in earlier layers feed this one, and which later ones it feeds. Amber links excite, blue links suppress; longer bars are stronger.

Activation histogram

How often this neuron fires at each strength. Almost always it does close to nothing (the tall bars in the middle); the snippets above are the rare moments it fired hard, amber for positive and blue for negative.

Logit lens

The words this neuron nudges the model toward (amber) or away from (blue) when it fires. A hint, not a label: many neurons work through later layers instead.