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The Indigo Creature's Weblog
< H 2 ALIGN = CENTER >October 10, 2006ce -- Things no one else can appreciate... < B R > < B R >
- The color of Cu2+ ions
- The smell of a fresh circuit board
- The unparalleled spectral purity of a $5 laser pointer
- The smell of ozone around a plasma globe
- The beauty of an efficient algorithm
- The fractal symmetry of a pine tree
- The physics of carnival rides
- the way a drop of dye diffuses in water
- Anodized Niobium
< H 2 ALIGN = CENTER>July 08, 2006ce -- O n t h e f u r r i n e s s o f C r e a t u r e s a n d I m a g i n a r y i M a c s < / H 2 > < B R > < B R > ∀ x i n { I n d i g o C r e a t u r e s } , x i s f u r r y . T h i s s t a t e m e n t i s t r u e , b e c a u s e t h e s e t o f a l l I n d i g o C r e a t u r e s c o n t a i n s o n e I n d i g o C r e a t u r e , a n d b e i n g t h a t I a m t h e I n d i g o C r e a t u r e , I c a n a s s u r e y o u t h a t I a m i n f a c t f u r r y . N o w , a h a r d e r c a s e : < B R > ∀ x i n { C o p p e r C r e a t u r e s } , x i s f u r r y . T h i s i s h a r d e r t o p r o v e , b e c a u s e t h e s e t o f a l l C o p p e r C r e a t u r e s c o n t a i n s 1 + i e l e m e n t s . " W h a t ? " y o u a s k , b e w i l d e r e d . Y e s , 1 + i e l e m e n t s . O n e r e a l C o p p e r C r e a t u r e , a n d o n e I m a g i n a r y C o p p e r C r e a t u r e . F r o m e x p e r i e n c e , I k n o w t h a t t h e o n e r e a l C o p p e r C r e a t u r e i s f u r r y , b u t i s t h e i m a g i n a r y C o p p e r C r e a t u r e f u r r y ? T h a t d e p e n d s o n i f i m a g i n a r y f u r c o u n t s ! < B R > W e c a n , h o w e v e r , p r o v e t h a t a l t h o u g h a r e a l C o p p e r C r e a t u r e i s h e t e r o s e x u a l , a n d i m a g i n a r y C o p p e r C r e a t u r e i s b i s e x u a l . H o w ? < B R > L e t ' s d e f i n e y a s t h e i m a g i n a r y C o p p e r C r e a t u r e . < B R > y = i ∙ C o p p e r C r e a t u r e . < B R > T h e r e f o r e , y i s a c o m p l e x n u m b e r < B R > y = a + b i , a , b ∈ ℝ ;< B R > A n d s i n c e t h i s i m a g i n a r y C o p p e r C r e a t u r e i s i n f a c t i m a g i n a r y , < B R > a = 0 "∴ y = b i < B R > C o n c l u s i o n : y ( t h e i m a g i n a r y C o p p e r C r e a t u r e ) = ( i s ) b i . < B R > I t c a n a l s o b e s h o w n t h a t s i n c e s o m e o f t h e C o p p e r C r e a t u r e ' s r e l a t i v e s c a l l h i m " B " , < B R > i * C o p p e r C r e a t u r e = i ∙ " B " = b i < B R > < B R > N o t e , h o w e v e r , t h a t a n i m a g i n a r y i M a c i s N O T b i s e x u a l , a n d i n f a c t , i s n o t e v e n a M a c . < B R > S u p p o s e x i s a n i m a g i n a r y i M a c : < B R > x = i * i M a c < B R > T h i s s i m p l i f i e s t o : < B R > x = i ∙ i ∙ M a c = ( - 1 ) ∙ M a c = - M a c < B R > T h e r e f o r e , x = - M a c . a n d i f x i s a n e g a t i v e m a c , t h e n i t ' s n o t a M a c a t a l l ! N o t a l s o t h a t : < B R > x = a + b i , a , b ∈ ℝ ; < B R > s o < B R > x = - M a c + 0 i < B R > x ≠ b i < B R > T h e r e f o r e , a n i m a g i n a r y i M a c i s n o t b i s e x u a l e i t h e r , u n l e s s i t ' s a n i m a g i n a r y I n d i g o i M a c , b u t t h e p r o o f i s l e f t u p t o t h e r e a d e r . < B R >
May 22, 2006ce -- Blog Coming Soon
OH NO! Not another weblog!!!!
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