This website is a mathematical website
  It presents mathematicsmathematical ideas 
      and reflections on mathematics. 
   
              

Mathematics has to be studied not only because it is useful, but because it is beautiful, as it is a study of structures.
                                       - Dr. Dejenie A. Lakew
 
(∀∈>0)(∃δ>0):∣x-x₀∣<δ⇒∣ψ(x)-ψ(x₀)∣<∈ 


 All images on this page are compositions of 2-D surfaces in 3-D space with several tilts and turns


        











 
 You are the                Visitor
" MORE THAN 90% OF TOOLS IN GOD'S WORKSHOP ARE MATHEMATHICAL ".
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            HYPER SYMMETRIES-MATHEMATICAL IMAGERY
                                  BY DEJENIE A. LAKEW,PH.D.
                              AUTHORHOUSE, 2009 
           Available also at Major Bookstores : 
         Amazon, Barnes & Nobles, Books-A-Million

It is a book of mathematical images. It can be a gift to your kids, friends or to your self. You will enjoy the images. 
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MATHEMATICS CONDITIONS US HOW WE THINK AS TECHNOLOGY DOES HOW WE LIVE - DEJENIE A. LAKEW
    
    My New Mathematical Identities (Verify them) on a new kind of 
     differential operator I defined by:  ∑_{k=0}^{∞}((D^{(k)}/(k!)

    1.  ∑_{k=0}^{∞}((D^{(k)}(cos x))/(k!)) = cos(x+1)
    2.  sin x+∑_{k=1}^{∞}((D^{(k)}(sin x))/(k!)) = sin(x+1)
    3.  ∑_{k=0}^{∞}((D^{(k)}(e^ (x))/(k!)) = e^(x+1)

                                          - Dejenie Alemayehu Lakew
  
    More new results and conjectures on the new operator
   that I defined on the left are posted on my 
   ResearchGate site in Math group under the category:

  Communications in Mathematics Teaching:CMT

  Check it out ! I welcome comments or counter
  examples on the conjectures.
  Definite Integral :

  lim ∑{k=0}ⁿ =∫_{a}^{b}
  n→∞
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                                Dejenie Alemayehu Lakew(Ph.D.)©dejeniea.com, All rights reserved    Powered by Intuit Homestead Technologies   Since 2008
e^{ikπ}±1=0
  (1+(3/k))^{k}→e^3 as k→∞
ℝ   ℂ   Cl_{n}
 ℕ   W   ℤ   ℚ 

Set of Numbers: Natural to rationals
Set of Numbers: Reals to Clifford
 Math'l Symbols


  ∈,⊆,⊇
   ∪,∩,∋
  +, -,×,÷,±
  =,≡, ≤, ≥
  ⇒,⇐,⇔
  ∨,∧,∼
  ⇉,⊥,∥
  ∑, ∏ , ∫ 
      
  ∴, ∵, ≅
  MATHEMATICAL IMAGES OF SYMMETRY AND HYPER-SYMMETRY 
MATHEMATICS
{ψ_{k}:k∈ℕ}
MATHEMATICS IS BOTH USEFUL AND BEAUTIFUL
 LES MATHEMATIQUES SONT DUEUX UTILES ET BEAU
MATHEMATICA EST UTILIS ET PULCHRA
МАТЕМАТИКА одновременно полезные и красивые
מתמטיקה הוא גם שימושי ויפה
الرياضيات هي مفيدة وجميلة
Μαθηματικά είναι τόσο χρήσιμο και όμορφο
Mathematik ist sowohl nützlich als auch BEAUTIFUL
ሂሳብ በጣም ጠቃሚና ውበት ያለው የጥናትና የምርምር መስክ ነው 
E = mc²
 ℵ₀ < 2^{ℵ₀}
∫_{Ω}φ(((∣u∣)/λ))dx < ∞
 ∑...∑ → ∫...∫