metadata
base_model: Locutusque/Hyperion-3.0-Mistral-7B-DPO
datasets:
- Locutusque/hyperion-dpo-v1.0
language:
- en
library_name: transformers
license: apache-2.0
tags:
- llama-cpp
- gguf-my-repo
widget:
- example_title: Reasoning
text: >
<|im_start|>system
You are Hyperion, an AI assistant developed by Sebastian Gabarain with a
focus in reasoning, coding, science, and other general-purpose subjects.
You are an AI assistant that follows instruction extremely well. Help as
much as you can.
<|im_end|>
<|im_start|>user
In this task, you are given a description of an object and its
surroundings. Your
task is to describe the motion of the object mentioned in the description
using
differential equations. The answer should be a mathematical expression in
t. Description:
A ball is thrown up at 30 ft/sec from 3 feet off the ground. Solve this
step-by-step,
explaining each step in detail.
<|im_end|>
<|im_start|>assistant
output:
text: >
Hyperion here. The task requires you to describe the motion of a ball
thrown up using differential equations. Here's the detailed explanation
of how to solve it:
1. Identify the given information:
- Initial velocity (v0): 30 ft/sec
- Initial height (y0): 3 feet off the ground
2. Determine the acceleration due to gravity (g) at sea level, which is
approximately -32.2 ft/s^2. Since we're dealing with a short distance
and not very high altitudes, we can consider this value of g as
constant.
3. Use Newton's second law of motion to find the differential equation
that describes the motion:
- The net force acting on the ball is the sum of gravity (mg) and air resistance (which we will neglect for simplicity). So, Fnet = mg.
- Since acceleration equals force divided by mass, a = Fnet/m. In this case, m cancels out, so a = g.
- The motion equation becomes: dv/dt = g = -32.2 ft/s^2 (since we're moving upwards). This is the first differential equation.
4. Since we want to describe the ball's position (y) as well, we need
another differential equation. We can use kinematics equations:
- The velocity equation is v = v0 + at. Substitute the value of a from step 3:
dv/dt = -32.2 ft/s^2. Rewriting it as an integral:
∫dv = -32.2 ft/s^2 * dt
- Integrating with respect to time, we get v(t) = -16.1 t + C (constant of integration).
5. Now we have two equations, one for velocity and another for position:
- dv/dt = -32.2 ft/s^2 (equation 1)
- v(t) = -16.1 t + C (equation 2)
6. We need to find the constant C using the initial conditions given in
the problem. We know that initially, at time t=0, the ball's velocity is
v0:
- Equation 2 becomes v0 = -16.1 * 0 + C, which simplifies to C = v0 = 30 ft/sec (initial velocity).
7. Now we have both equations with the constants filled in:
- dv/dt = -32.2 ft/s^2 (equation 1)
- v(t) = -16.1 t + 30 ft/sec (equation 2)
8. Finally, we need to find the ball's position (y) as a function of
time:
- Use the second kinematics equation y = y0 + v0*t + ½*a*t^2 (since acceleration is constant, it can be moved outside the integral).
- Substitute the values for v0 and a:
y(t) = 3 ft + (30 ft/sec) * t + (-½ * 32.2 ft/s^2) * t^2
That's it! The differential equation describing the motion of the ball
is:
- dv/dt = -32.2 ft/s^2 (equation 1)
- v(t) = -16.1 t + 30 ft/sec (equation 2)
- y(t) = 3 ft + (30 ft/sec) * t - (16.1 t^2) ft (equation 3)
ijohn07/Hyperion-3.0-Mistral-7B-DPO-Q8_0-GGUF
This model was converted to GGUF format from Locutusque/Hyperion-3.0-Mistral-7B-DPO
using llama.cpp via the ggml.ai's GGUF-my-repo space.
Refer to the original model card for more details on the model.
Use with llama.cpp
Install llama.cpp through brew (works on Mac and Linux)
brew install llama.cpp
Invoke the llama.cpp server or the CLI.
CLI:
llama-cli --hf-repo ijohn07/Hyperion-3.0-Mistral-7B-DPO-Q8_0-GGUF --hf-file hyperion-3.0-mistral-7b-dpo-q8_0.gguf -p "The meaning to life and the universe is"
Server:
llama-server --hf-repo ijohn07/Hyperion-3.0-Mistral-7B-DPO-Q8_0-GGUF --hf-file hyperion-3.0-mistral-7b-dpo-q8_0.gguf -c 2048
Note: You can also use this checkpoint directly through the usage steps listed in the Llama.cpp repo as well.
Step 1: Clone llama.cpp from GitHub.
git clone https://github.com/ggerganov/llama.cpp
Step 2: Move into the llama.cpp folder and build it with LLAMA_CURL=1
flag along with other hardware-specific flags (for ex: LLAMA_CUDA=1 for Nvidia GPUs on Linux).
cd llama.cpp && LLAMA_CURL=1 make
Step 3: Run inference through the main binary.
./llama-cli --hf-repo ijohn07/Hyperion-3.0-Mistral-7B-DPO-Q8_0-GGUF --hf-file hyperion-3.0-mistral-7b-dpo-q8_0.gguf -p "The meaning to life and the universe is"
or
./llama-server --hf-repo ijohn07/Hyperion-3.0-Mistral-7B-DPO-Q8_0-GGUF --hf-file hyperion-3.0-mistral-7b-dpo-q8_0.gguf -c 2048