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30 September 2022

N 06:29  Definition:Babbage's Difference Engine 4 changes history +1,159 [Prime.mover (4×)]  
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06:29 (cur  prev) 0 Prime.mover talk contribs  
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06:29 (cur  prev) +105 Prime.mover talk contribs  

06:26 (cur  prev) +374 Prime.mover talk contribs  
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06:17 (cur  prev) +680 Prime.mover talk contribs Created page with "== Definition == rightBabbage Difference Engine700px '''Babbage's difference engine''' was an automatic mechanical calculator designed to tabulate polynomial functions. {{NamedforDefCharles Babbagecat = Babbage, Charles}} == Historical Note == {{:Definition:Babbage Difference Engine/Historical Note}} == Sources == * {{BookReference..." 
m 06:24  Definition:B*Algebra diffhist +2 Prime.mover talk contribs 
06:23  Mathematician:Charles Babbage diffhist +448 Prime.mover talk contribs 
N 06:06  Category:Definitions/Named Definitions/Babbage, Charles diffhist +35 Prime.mover talk contribs Created page with "{{NameCategoryDefCharles Babbage}}" 
06:04  Symbols:B/Hexadecimal diffhist +11 Prime.mover talk contribs 
06:03  File:Babbage Difference Engine.jpg diffhist +104 Prime.mover talk contribs 
06:02  Upload log Prime.mover talk contribs uploaded File:Babbage Difference Engine.jpg 
m 05:49  Mathematician:Niels Henrik Abel diffhist +31 Prime.mover talk contribs 
05:46  Abel's Summation Formula diffhist +32 Prime.mover talk contribs 

N 05:45  Existence of EulerMascheroni Constant/Proof 2 2 changes history +1,561 [Prime.mover (2×)]  
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05:45 (cur  prev) +3 Prime.mover talk contribs  
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05:44 (cur  prev) +1,558 Prime.mover talk contribs Created page with "== Theorem == {{:Existence of EulerMascheroni Constant}} == Proof == <onlyinclude> Consider $\delta : \R_{\ge 1} \to \R$: :$\ds \map \delta x := \int _1 ^x \dfrac {\fractpart u} {u^2} \rd u$ where $\fractpart u$ denotes the fractional part of $u$. Then $\delta$ is increasing, since $\dfrac {\fractpart u} {u^2} \ge 0$. Furthermore: {{begineqn}} {{eqn  l = \map \delta x  r = \int _1 ^x \dfrac {\fractpar..." 
m 05:43  Definition:Exponential Function/Real/Inverse of Natural Logarithm diffhist +8 Prime.mover talk contribs 
m 05:43  Definition:EulerMascheroni Constant diffhist +8 Prime.mover talk contribs 
N 05:42  Existence of EulerMascheroni Constant/Proof 1 diffhist +1,230 Prime.mover talk contribs Created page with "== Theorem == {{:Existence of EulerMascheroni Constant}} == Proof == <onlyinclude> Let $f: \R \setminus \set 0 \to \R: \map f x = \dfrac 1 x$. Clearly $f$ is continuous and positive on $\hointr 1 {+\infty}$. From Reciprocal Sequence is Strictly Decreasing, $f$ is decreasing on $\hointr 1 {+\infty}$. Therefore the conditions..." 
N 05:42  Category:Existence of EulerMascheroni Constant diffhist +107 Prime.mover talk contribs Created page with "{{SubjectCategoryresult = Existence of EulerMascheroni Constant}} Category:EulerMascheroni Constant" 

05:42  Existence of EulerMascheroni Constant 5 changes history −778 [Prime.mover; Usagiop (4×)]  

05:42 (cur  prev) −2,201 Prime.mover talk contribs  

01:11 (cur  prev) +295 Usagiop talk contribs  
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00:42 (cur  prev) +30 Usagiop talk contribs  

00:41 (cur  prev) +16 Usagiop talk contribs  

00:36 (cur  prev) +1,082 Usagiop talk contribs Add proof 2 
m 05:35  EulerMaclaurin Summation Formula diffhist +1 Prime.mover talk contribs 
29 September 2022
N 23:35  Abel's Summation Formula diffhist +588 Usagiop talk contribs Created page with "== Definition == Let $\sequence {a_n}$ be a sequence in $\R$. Let $f : \R_{\ge 1} \to \R$ be a continuously differentiable function. Let $A : \R_{\ge 1} \to \R$ be defined as: :$\ds \map A x := \sum_{1 \mathop \le n \mathop \le x} a_n$ Then for all $x \in \R_{\ge 1}$: :$\ds \sum_{1 \mathop \le n \mathop \le x} a_n \map f n = \map A x \map f x  \int _1 ^x \map A u \map {f'} u \rd..." 
23:14  Definition:EulerMascheroni Constant diffhist +48 Usagiop talk contribs 

21:57  User:Anghel/Sandbox 2 changes history −1,798 [Anghel (2×)]  

21:57 (cur  prev) +4 Anghel talk contribs  

21:56 (cur  prev) −1,802 Anghel talk contribs 

21:03  Combination Theorem for Complex Derivatives/Product Rule 2 changes history +63 [Prime.mover (2×)]  

21:03 (cur  prev) +49 Prime.mover talk contribs  

20:57 (cur  prev) +14 Prime.mover talk contribs 
21:03  Product Rule for Complex Derivatives diffhist +69 Prime.mover talk contribs 

21:00  Combination Theorem for Complex Derivatives/Product Rule/Proof 2 2 changes history −5 [Prime.mover (2×)]  
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21:00 (cur  prev) −17 Prime.mover talk contribs  

20:57 (cur  prev) +12 Prime.mover talk contribs 
m 20:58  Combination Theorem for Complex Derivatives/Quotient Rule diffhist +14 Prime.mover talk contribs 
20:56  Combination Theorem for Complex Derivatives/Combined Sum Rule diffhist −66 Prime.mover talk contribs 
20:54  Combination Theorem for Complex Derivatives/Multiple Rule diffhist +27 Prime.mover talk contribs 
20:53  Sum Rule for Complex Derivatives diffhist +57 Prime.mover talk contribs 
20:53  Category:Sum Rule for Complex Derivatives diffhist +57 Prime.mover talk contribs 
N 20:52  Category:Combination Theorem for Complex Derivatives diffhist +116 Prime.mover talk contribs Created page with "{{SubjectCategoryresult = Combination Theorem for Complex Derivatives}} Category:Complex Differential Calculus" 
20:52  Combination Theorem for Complex Derivatives diffhist +84 Prime.mover talk contribs 
20:51  Combination Theorem for Complex Derivatives/Sum Rule diffhist +70 Prime.mover talk contribs 
20:50  Combination Theorem for Complex Derivatives/Product Rule/Proof 1 diffhist +59 Prime.mover talk contribs 

20:48  Vector Addition on Normed Vector Space is Continuous 2 changes history +12 [Anghel (2×)]  

20:48 (cur  prev) −31 Anghel talk contribs  

20:46 (cur  prev) +43 Anghel talk contribs 

m 20:44  Axiom:Hilbert's Axioms 2 changes history +177 [Prime.mover; Julius]  
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20:44 (cur  prev) −2 Prime.mover talk contribs  
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20:37 (cur  prev) +179 Julius talk contribs 
m 20:43  Mathematician:Reinhold Gerhard Meise diffhist +12 Prime.mover talk contribs 
20:42  Mathematician:Mathematicians/Minor Mathematicians/M diffhist +41 Prime.mover talk contribs 
20:38  Mathematician:Mathematicians/Sorted By Nation/Germany diffhist +39 Prime.mover talk contribs 
20:37  Mathematician:Mathematicians/Sorted By Birth/1941  1950 CE diffhist +39 Prime.mover talk contribs 