konn

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konn

An Efficient Computational Algebra and Symbolic Linear Algebra Library in Haskell

Abstract

Gröbner basis computation is becoming more and more important. In this project, I will implement the fast and efficient algorithms, F4 and F5, to compute Gröbner basis.

These algorithms require efficient symbolic sparse linear algebra computation, which Haskell lacks currently, so implementing such functionality also constitutes the important part of this project.

I will also provide some examples of motivating applications of Gröbner basis which include, for example, non-linear equation system solver.

konn

This is e-upTeX, Version 3.14159265-p3.5-u1.11-130605-2.6 (utf8.uptex) (TeX Live 2014) (preloaded format=uplatex 2014.8.12)  31 JAN 2015 22:29
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konn

module Main where
import Data.Complex
import Data.List
import Data.Monoid
import Data.Ratio

errorRange = 1e-20

calculate :: Complex Double -> [Double]
calculate c = map magnitude $ iterate ((+c).(^^2)) 0

konn

$ ./test
ERROR: 0:11: 'attribute' : syntax error syntax error

ERROR: 0:8: 'varying' : syntax error syntax error

ERROR: One or more attached shaders not successfully compiled

ClientAPI'OpenGL
OpenGL Version: 4.1.0
ContextRobustness'NoRobustness

konn

Keybase proof

I hereby claim:

• I am konn on github.
• I am konn (https://keybase.io/konn) on keybase.
• I have a public key whose fingerprint is 5DD4 A2F7 B0C7 3CEF 0526 8E63 2264 973C 1115 F8EA

To claim this, I am signing this object:

konn

module Moon where

data Monkey = WooKie

foo :: Bool -> String
foo True = show WooKie

konn

{-# LANGUAGE BangPatterns, OverloadedStrings #-}
module Main where
import           Data.ByteString       (breakSubstring)
import           Data.ByteString.Char8 (ByteString, inits, tails)
import qualified Data.ByteString.Char8 as BS
import           Data.List             (nub, sortBy)
import           Data.Monoid           ((<>))
import           Data.Ord              (comparing)

isPalindrome :: ByteString -> Bool

konn

PREDEF:
  - preface.re

CHAPS:
  - part1.re:
      - ch01.re
  - part2.re:
      - ch02.re

# POSTDEF:

konn

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