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Betting Tips for Enthusiasts

• Research Thoroughly: Before placing any bets, conduct comprehensive research on team form, player injuries, and other relevant factors.
• Stay Updated: Follow live updates during matches to adjust your bets accordingly based on real-time developments.
• Set Limits: Establish a budget for your betting activities to ensure responsible gambling practices.
• Explore Different Markets: Consider various betting markets such as over/under goals or correct scores for more diverse options.
• Engage with Experts: Join forums or social media groups where you can exchange insights with other knowledgeable bettors.
• Enjoy Responsibly: Remember that betting should be fun; never let it interfere with your personal or professional life.
• Trust Your Instincts: Sometimes going against popular opinion can lead to rewarding outcomes if backed by solid reasoning.
• Learn from Experience: Analyze past bets to understand what worked well or where improvements can be made for future wagers.
• Stay Calm Under Pressure: Maintain composure when making decisions; rash actions can lead to unfavorable results.
• Diversify Your Portfolio: Spread your bets across different matches or sports categories to mitigate risks associated with single-event outcomes.
• Seek Professional Advice: If unsure about certain aspects of betting strategies or markets, consult professionals who can provide valuable guidance based on their expertise.
• Be Mindful of Bonuses: Take advantage of promotional offers but read terms carefully before committing funds into bonus-related bets which might come with specific wagering requirements.
• Keep Learning: Continuously educate yourself about new trends within sports betting; staying informed helps refine strategies over time while adapting quickly when necessary changes occur within leagues or teams’ dynamics influencing outcomes unexpectedly due unforeseen circumstances such as weather conditions affecting play styles etcetera .artem-zelenko/quantum<|file_sep|>/src/Quantum/Bra.hs module Quantum.Bra ( Bra(..) , bra , ket ) where import Quantum.Tensor data Bra = Bra { bra :: Tensor } deriving Show instance Eq Bra where (Bra t1) == (Bra t2) = t1 == t2 instance Ord Bra where compare (Bra t1) (Bra t2) = compare t1 t2 instance Num Bra where (+) (Bra t1) (Bra t2) = bra $ t1 + t2 (-) (Bra t1) (Bra t2) = bra $ t1 - t2 (*) (Bra t1) (Bra t2) = bra $ t1 * t2 negate = fmap negate . bra abs = error "bra.abs" signum = error "bra.signum" instance TensorLike Bra where pure v = bra $ pure v instance TensorAlg Bra where conj = fmap conj . bra ket :: Vector -> Bra ket v = Bra $ pure v bra :: Tensor -> Bra bra = Bra<|repo_name|>artem-zelenko/quantum<|file_sep|>/src/Quantum/Tensor.hs {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE FlexibleInstances #-} {-# LANGUAGE FunctionalDependencies #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE RankNTypes #-} {-# LANGUAGE ScopedTypeVariables #-} module Quantum.Tensor ( Tensor(..) , pure , (+), (-), (*) , conj , tensor , trace ) where import Prelude hiding ((+), (-), (*)) import qualified Prelude as P import Control.Monad.Writer.Strict hiding ((<>)) import Control.Monad.State.Strict hiding ((<>)) import Data.Foldable hiding ((<>)) import Data.Monoid hiding ((<>)) import Data.Semigroup ((<>)) -- | Typeclass for types that represent tensor algebra objects. class TensorLike f where -- | Create tensor product object from value. pure :: Num r => r -> f r -- | Typeclass for types that represent tensor algebra objects. class TensorAlg f where -- | Conjugate transposition. conj :: f r -> f r -- | Class constraint representing `TensorLike` instances supporting tensor products. class TensorLike f => TensorProd f where -- | Tensor product operation. tensor :: Num r => f r -> f r -> f r -- | Typeclass for types that represent tensor algebra objects. class TensorAlg f => TensorAlgebra f where -- | Trace operation. -- | Trace operation on diagonal elements only. instance Num r => Semigroup (Tensor r) where -- | Addition operation. instance Num r => Monoid (Tensor r) where -- | Addition operation. instance Num r => Semigroup (TensorProd f r) where -- | Addition operation. instance Num r => Monoid (TensorProd f r) where -- | Addition operation. -- | Class constraint representing `TensorLike` instances supporting addition, -- subtraction and multiplication operations. instance Functor TensorAlg where -- | Conjugate transposition. instance Applicative TensorAlg where -- | Conjugate transposition. instance Monad TensorAlg where -- | Conjugate transposition. instance Num r => Semigroup (TensorAlg f r) where -- | Conjugate transposition. instance Num r => Monoid (TensorAlg f r) where -- | Conjugate transposition. data Tensor r = Scalar { scalar :: !r } | Vector { vector :: !(P.Vector Double) } | Matrix { matrix :: !(P.Vector Double) , rows :: !Int , cols :: !Int } deriving Show pure :: Num r => r -> Tensor r pure x = Scalar x instance Num Double => Semigroup (Tensor Double) where Scalar x <> Scalar y = Scalar $ x + y Vector x <> Vector y = Vector $ P.zipWith (+) x y instance Num Double => Monoid (Tensor Double) where mempty = pure zero trace :: TensorDouble -> TensorDouble trace = undefined instance Num Double => Semigroup (TensorProd f Double) where Vector v1 <> Vector v2 = fmap P.product $ zipWith (<>) v1 v2 instance Num Double => Monoid (TensorProd f Double) where mempty = pure one instance NumDouble => Semigroup MatrixDouble where Matrix m1 rows cols <> Matrix m2 rows cols = Matrix $ P.zipWith (+) m1 m2 rows cols instance NumDouble => Monoid MatrixDouble where mempty = pure one scalar :: NumDouble => ScalarDouble -> Double scalar Scalar{..} = scalar vector :: NumDouble => VectorDouble -> P.Vector Double vector Vector{..} = vector matrix :: NumDouble => MatrixDouble -> P.Vector Double matrix Matrix{..} = matrix rows :: NumDouble => MatrixDouble -> Int rows Matrix{..} = rows cols :: NumDouble => MatrixDouble -> Int cols Matrix{..} = cols conj :: TensorDouble -> TensorDouble conj Scalar{..} = Scalar $ P.conj scalar conj Vector{..} = Vector $ P.map P.conj vector conj Matrix{..} = Matrix $ P.map P.conj matrix rows cols <|file_sep|>{-# LANGUAGE DeriveDataTypeable #-} {-# LANGUAGE DeriveFunctor #-} {-# LANGUAGE DeriveTraversable #-} module Quantum.Pauli ( Pauli(..) ) where import Prelude hiding ((+), (-), (*)) import Control.Applicative ((<$>) , (<*>)) import Data.Data.Typeable () import Data.Functor.Identity () import Data.Traversable () data Pauli = Ix {- ^ Identity operator -} | X {- ^ Pauli X operator -} | Y {- ^ Pauli Y operator -} | Z {- ^ Pauli Z operator -} deriving(Show) deriving(Eq) deriving(Ord) deriving(Typeable) deriving(Functor) deriving(Applicative) deriving(Traversable)<|file_sep|>{-# LANGUAGE CPP #-} {-# LANGUAGE DeriveDataTypeable #-} {-# LANGUAGE DeriveFunctor #-} {-# LANGUAGE DeriveTraversable #-} module Quantum.Gates ( Gate(..) , applyGateToKetOrBra #ifdef __GLASGOW_HASKELL__ -- A hack around GHC#10942 that prevents type inference from working when using GHC7.x, -- see https://ghc.haskell.org/trac/ghc/ticket/10942#comment:5 #if __GLASGOW_HASKELL__ >=801 && __GLASGOW_HASKELL__ <=804 #define EXPRESSION_TYPE_BUG_WORKAROUND(t,f,g,x,y,z) ((x,y,z)->t(f x)(g y)(f z)) #endif #endif )where import Prelude hiding ((+), (-), (*)) import Control.Applicative ((<$>) , (<*>)) import Data.Data.Typeable () import Data.Functor.Identity () import Data.Traversable () #ifdef __GLASGOW_HASKELL__ #if __GLASGOW_HASKELL__ >=801 && __GLASGOW_HASKELL__ <=804 #define EXPRESSION_TYPE_BUG_WORKAROUND(t,f,g,x,y,z) ((x,y,z)->t(f x)(g y)(f z)) #endif #endif data Gate = Ix {- ^ Identity operator -} #ifdef __GLASGOW_HASKELL__ #if __GLASGOW_HASKELL__ >=801 && __GLASGOW_HASKELL__ <=804 #define EXPRESSION_TYPE_BUG_WORKAROUND(t,f,g,x,y,z) ((x,y,z)->t(f x)(g y)(f z)) #endif #endif