This website is a mathematical website
  It presents mathematics, mathematical 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


      












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" 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 TO CHANGE 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   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
PH.D., MATHEMATICS
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
(∀a)(∃A∍a)(Φ(a)∧ψ(a))
ሂሳብ በጣም ጠቃሚና ውበት ያለው የጥናትና የምርምር መስክ ነው
∫_{Ω}dω = ∫_{∂Ω}ω
E = mc²
ℵ₀ < 2^{ℵ₀}
∫_{Ω}φ(((∣u∣)/λ))dx < ∞
∑...∑ → ∫...∫