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Show new changes starting from 06:49, 24 January 2022
   
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24 January 2022

     00:29  Book:Henry Ernest Dudeney/Puzzles and Curious Problems diffhist +371 Prime.mover talk contribs
N    00:29  Henry Ernest Dudeney/Puzzles and Curious Problems/161 - Blocks and Squares/Solution diffhist +1,262 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $161$ == ;Blocks and Squares {{:Henry Ernest Dudeney/Puzzles and Curious Problems/161 - Blocks and Squares}} == Solution == The smallest number of blocks in each box appears to be $1344$. The innermost hollow square is $34^2$. Square $A$ is $50^2$. Square $B$ is $6..."
     00:29  Henry Ernest Dudeney/Puzzles and Curious Problems/161 - Blocks and Squares‎‎ 3 changes history +163 [Prime.mover‎ (3×)]
     
00:29 (cur | prev) +132 Prime.mover talk contribs
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     00:19 Upload log Prime.mover talk contribs uploaded a new version of File:Dudeney-Puzzles-and-Curious-Problems-161.png
N    00:11  Category talk:Definitions/Bounded Linear Transformations‎‎ 2 changes history +675 [Prime.mover‎; Caliburn‎]
     
00:11 (cur | prev) +518 Prime.mover talk contribs
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00:05 (cur | prev) +157 Caliburn talk contribs Created page with "This category somehow includes itself. Can't see how I've managed that. ~~~~"
N    00:08  Category:Bounded Linear Transformations diffhist +86 Prime.mover talk contribs Created page with "{{SubjectCategory|Bounded Linear Transformation}} Category:Linear Transformations"
     00:05  User:Caliburn/s/fa diffhist −126 Caliburn talk contribs

23 January 2022

     23:57  Definition:Bounded Linear Operator‎‎ 2 changes history +416 [Caliburn‎ (2×)]
     
23:57 (cur | prev) +29 Caliburn talk contribs
     
23:41 (cur | prev) +387 Caliburn talk contribs Removed redirect to Definition:Bounded Linear Transformation/Bounded Linear Operator Tag: Removed redirect
N    23:56  Category:Definitions/Bounded Linear Operators diffhist +100 Caliburn talk contribs Created page with "{{DefinitionCategory|def = Bounded Linear Operator|Linear Operators|Bounded Linear Transformations}}"
N    23:55  Definition:Bounded Linear Transformation/Inner Product Space‎‎ 4 changes history +953 [Caliburn‎ (4×)]
     
23:55 (cur | prev) +46 Caliburn talk contribs
     
23:37 (cur | prev) −198 Caliburn talk contribs
     
23:37 (cur | prev) +78 Caliburn talk contribs
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23:33 (cur | prev) +1,027 Caliburn talk contribs Created page with "== Definition == <onlyinclude> Let $\struct {V, \innerprod \cdot \cdot_V}$ and $\struct {U, \innerprod \cdot \cdot_U}$ be inner product spaces. Let $\norm \cdot_V$ and $\norm \cdot_U$ be the inner product norms of $V$ and $U$ respectively. Let $A : V \to U$ be a linear transformation. We say that $A$ is a '''bounded linear transformation''' {{iff}}: :there exis..."
     23:54  Definition:Bounded Linear Functional diffhist +56 Caliburn talk contribs
     23:54  Definition:Bounded Linear Transformation‎‎ 5 changes history −374 [Caliburn‎ (5×)]
     
23:54 (cur | prev) +29 Caliburn talk contribs
     
23:50 (cur | prev) +38 Caliburn talk contribs
     
23:42 (cur | prev) −169 Caliburn talk contribs
     
23:39 (cur | prev) +21 Caliburn talk contribs change of direction
     
23:34 (cur | prev) −293 Caliburn talk contribs
N    23:53  Category:Definitions/Bounded Linear Transformations‎‎ 2 changes history +81 [Caliburn‎ (2×)]
     
23:53 (cur | prev) −1 Caliburn talk contribs
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23:53 (cur | prev) +82 Caliburn talk contribs Created page with "{{DefinitionCategory|def = Bounded Linear Transformations|Linear Transformations}}"
 m   23:53  User:Julius diffhist +334 Julius talk contribs
N    23:49  Definition:Bounded Linear Transformation/Normed Vector Space diffhist +834 Caliburn talk contribs Created page with "== Definition == <onlyinclude> Let $\struct {V, \norm \cdot_V}$ and $\struct {U, \norm \cdot_U}$ be normed vector spaces. Let $A : V \to U$ be a linear transformation. We say that $A$ is a '''bounded linear transformation''' {{iff}}: :there exists $c > 0$ such that $\norm {A v}_U \le \norm v_V$ for each $v \in V$. </onlyinclude> == Also see == * Definition:Bounded Linear Operator/Normed Vecto..."
     23:46  Definition:Bounded Linear Operator/Inner Product Space‎‎ 4 changes history +181 [Caliburn‎ (4×)]
     
23:46 (cur | prev) +46 Caliburn talk contribs
     
23:44 (cur | prev) +84 Caliburn talk contribs
     
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23:39 (cur | prev) +38 Caliburn talk contribs
N    23:45  Definition:Bounded Linear Operator/Normed Vector Space‎‎ 2 changes history +740 [Caliburn‎ (2×)]
     
23:45 (cur | prev) +46 Caliburn talk contribs
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23:44 (cur | prev) +694 Caliburn talk contribs Created page with "== Definition == <onlyinclude> Let $\struct {V, \norm \cdot}$ be a normed vector space. Let $A : V \to V$ be a linear operator. We say that $A$ is a '''bounded linear operator''' {{iff}}: :there exists $c > 0$ such that $\norm {A v} \le \norm v$ for each $v \in V$. That is, a '''bounded linear operator''' on a normed vector space is a Definition:Bounded Linear Tra..."
     23:36  (Move log) [Caliburn‎ (2×)]
     
23:36 Caliburn talk contribs moved page Definition:Bounded Linear Transformation/Inner Product Space/Bounded Linear Operator to Definition:Bounded Linear Operator/Inner Product Space without leaving a redirect ‎(in light of Definition:Bounded Linear Operator, change of mind)
     
23:34 Caliburn talk contribs moved page Definition:Bounded Linear Transformation/Bounded Linear Operator to Definition:Bounded Linear Transformation/Inner Product Space/Bounded Linear Operator without leaving a redirect ‎
     23:32  Equivalence of Definitions of Norm of Linear Transformation diffhist +20 Caliburn talk contribs
N    22:07  Henry Ernest Dudeney/Puzzles and Curious Problems/262 - A Monmouth Tombstone/Solution‎‎ 2 changes history +2,777 [Prime.mover‎ (2×)]
     
22:07 (cur | prev) +29 Prime.mover talk contribs
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22:06 (cur | prev) +2,748 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $262$ == ;A Monmouth Tombstone {{:Henry Ernest Dudeney/Puzzles and Curious Problems/262 - A Monmouth Tombstone}} == Solution == :$45 \, 760$, unless you are allowed to go diagonally, in which case it is $91 \, 520$. == Proof == Let us count the routes on one quadrant of this tombstone. The total number of routes is then found by multiply..."
     21:38  Henry Ernest Dudeney/Puzzles and Curious Problems/295 - Blending the Teas diffhist 0 Prime.mover talk contribs
N    21:38  Henry Ernest Dudeney/Puzzles and Curious Problems/295 - Blending the Teas/Solution diffhist +2,434 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $295$ == ;Blending the Teas {{:Henry Ernest Dudeney/Puzzles and Curious Problems/295 - Blending the Teas}} == Solution == :$70$ pounds of cheaper tea and $30$ pounds of the more expensive one. == Proof == To simplify the analysis, we express all prices in pence: :$2 \shil..."
N    21:02  Henry Ernest Dudeney/Puzzles and Curious Problems/298 - The Stolen Balsam/Solution diffhist +1,287 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $298$ == ;The Stolen Balsam {{:Henry Ernest Dudeney/Puzzles and Curious Problems/298 - The Stolen Balsam}} == Solution == One of several ways is as follows: :$\begin {array} {r|cccc} & \mathrm {oz.} & \mathrm {oz.} & \mathrm {oz.} & \mathrm {oz.} \\ \hline \text {The vessels can hold} & 24 & 13 & 11 & 5 \\ \text {Their contents at the start} & 24 & 0 &..."
N    20:53  Henry Ernest Dudeney/Puzzles and Curious Problems/285 - The Teashop Check/Solution diffhist +2,240 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $285$ == ;The Teashop Check {{:Henry Ernest Dudeney/Puzzles and Curious Problems/285 - The Teashop Check}} == Solution == One of the customers' bills was $7 \oldpence$, and the other's was $3 \shillings 4 \tfrac 1 2 \oldpence$ == Proof == First note that the total of all the prices is $3 \shillings 11 \tfrac 1 2 \oldpence$. This is what you would get if all the..."
N    20:33  Henry Ernest Dudeney/Puzzles and Curious Problems/210 - Pat and his Pig/Solution‎‎ 2 changes history +3,706 [Prime.mover‎ (2×)]
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20:33 (cur | prev) −1 Prime.mover talk contribs
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20:32 (cur | prev) +3,707 Prime.mover talk contribs Created page with "== {{BookLink|Puzzles and Curious Problems|Henry Ernest Dudeney}} by {{AuthorRef|Henry Ernest Dudeney}}: $210$ == ;Pat and his Pig {{:Henry Ernest Dudeney/Puzzles and Curious Problems/210 - Pat and his Pig}} == Solution == Pat catches the pig after it has run $66 \tfrac 2 3$ yards towards the gate. == Proof == This can be modelled using the technique of Differential Equation of Perpendicular Pursuit Curve. Let us rotate the Definition:Fra..."
     20:11  User:Caliburn diffhist +88 Caliburn talk contribs
 m   19:43  Differential Equation of Perpendicular Pursuit Curve diffhist −46 Prime.mover talk contribs
     19:30  Definition:Frame of Reference diffhist +384 Prime.mover talk contribs
 m   19:24  Definition:Pursuit Curve diffhist +67 Prime.mover talk contribs
     16:27  Definition:Distance Functional diffhist −5 Caliburn talk contribs
     16:11  Normed Dual Space Separates Points diffhist −2 Caliburn talk contribs