From 5b603f77d9897b7e8f9ce0367c5e5668c0ac8adb Mon Sep 17 00:00:00 2001
From: thomasabishop <tactonbishop@gmail.com>
Date: Fri, 29 Apr 2022 08:00:47 +0100
Subject: [PATCH] Last Sync: 2022-04-29 08:00:47

---
 .../Mixed and improper fractions.md           |  30 ++++++++++++++++
 .../Prealgebra/Multiplying_fractions.md       |  34 +++++++++---------
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 create mode 100644 Mathematics/Prealgebra/Mixed and improper fractions.md

diff --git a/Mathematics/Prealgebra/Mixed and improper fractions.md b/Mathematics/Prealgebra/Mixed and improper fractions.md
new file mode 100644
index 0000000..8b05480
--- /dev/null
+++ b/Mathematics/Prealgebra/Mixed and improper fractions.md	
@@ -0,0 +1,30 @@
+---
+tags:
+  - Mathematics
+  - Prealgebra
+  - fractions
+---
+
+# Mixed and improper fractions
+
+## Improper fractions
+
+* Proper fraction:
+  * The numerator is smaller than the denominator
+  * E.g. $\frac{2}{3}$, $-\frac{5}{10}$
+* Improper fraction
+  * The numerator is greater than the denominator
+  * E.g. $\frac{3}{2}$, $-\frac{5}{4}$
+
+## Mixed fractions
+A mixed fraction is part whole number, part fraction. For example: $5 \frac{3}{4}$.
+
+It means, in effect: $5 + \frac{3}{4}$
+
+## Converting mixed fractions into improper fractions
+Mixed fractions are hard to calculate with. We need some way to convert them to fractions. We can do this by converting them to improper fractions.
+
+With the example $4 \frac{7}{8}$, we know this means $4 + \frac{7}{8}$. We need to express the amount 4 in terms of eighths. It would be 4 lots of $\frac{8}{8}$ given that 4 is a whole number not a fractional amount. Thus the process would be:
+$$
+    \frac{8}{8} + \frac{8}{8} + \frac{8}{8} + \frac{8}{8} + \frac{7}{8}
+$$
\ No newline at end of file
diff --git a/Mathematics/Prealgebra/Multiplying_fractions.md b/Mathematics/Prealgebra/Multiplying_fractions.md
index a6ea101..7c717a2 100644
--- a/Mathematics/Prealgebra/Multiplying_fractions.md
+++ b/Mathematics/Prealgebra/Multiplying_fractions.md
@@ -6,14 +6,16 @@ tags:
   - multiplication
 ---
 
+# Multiplying fractions 
 
- > 
- > To find the product of two fractions $\frac{a}{b}$ and $\frac{c}{d}$ multiply their numerators and denominators and then reduce: $$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$$
+ To find the product of two fractions $\frac{a}{b}$ and $\frac{c}{d}$ multiply their numerators and denominators and then reduce: 
+ 
+ $$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$$
 
-## Example
+###  Example
 
 $$
-\\frac{1}{3} \cdot \frac{2}{5} = \frac{1 \cdot 2}{3 \cdot 5} = \frac{2}{15}
+\frac{1}{3} \cdot \frac{2}{5} = \frac{1 \cdot 2}{3 \cdot 5} = \frac{2}{15}
 $$
 
 ## Prime factorisation in place
@@ -21,43 +23,43 @@ $$
 The example above did not require a reduction, so here is a more complex example:
 
 $$
-\\frac{14}{15} \cdot \frac{30}{140} = \frac{420}{2100} 
+\frac{14}{15} \cdot \frac{30}{140} = \frac{420}{2100} 
 $$
 
-It would be laborious to reduce such a large product using factor trees or the repeated application of divisors.  We can use a more efficient method. 
-
-This method can be applied at the point at which we conduct the multiplication rather than afterwards once we have the product. We express the the initial multiplicands as factors:
+It would be laborious to reduce such a large product using factor trees or the repeated application of divisors, as defined in [reducing fractions](./Reducing_fractions.md).  We can use a more efficient method.
+This method can be applied at the point at which we conduct the multiplication rather than afterwards once we have the product. We express the the initial multiplicands as prime factors:
 
 $$
-\\frac{14}{15} \cdot \frac{30}{140} = \frac{(2 \cdot 7) \cdot (2 \cdot 3 \cdot 5) }{(3 \cdot 5) \cdot (2 \cdot  2 \cdot 7 \cdot 5)} 
+\frac{14}{15} \cdot \frac{30}{140} = \frac{(2 \cdot 7) \cdot (2 \cdot 3 \cdot 5) }{(3 \cdot 5) \cdot (2 \cdot  2 \cdot 7 \cdot 5)} 
 $$
 
 We now have the product in factorised form before we have applied the multiplication so we can go ahead and cancel: 
 
 $$
-\\frac{\cancel{2}, \cancel{7}, \cancel{2}, \cancel{3}, \cancel{5}}{\cancel{3}, \cancel{5}, \cancel{2}, \cancel{2}, \cancel{7}, 5} = \frac{1}{5}
+\frac{\cancel{2}, \cancel{7}, \cancel{2}, \cancel{3}, \cancel{5}}{\cancel{3}, \cancel{5}, \cancel{2}, \cancel{2}, \cancel{7}, 5} = \frac{1}{5}
 $$
 
 **Note that in the above case, there was only a single 5 left as a denominator and no value left as a numerator. This is equivalent to there just being "one five" so we write $\frac{1}{5}$**
 
-## Example with negative fractions containing variables
+## Example of multiplying fractions with negative fractions containing variables
 
-*Calculate: $$ - \frac{6x}{55y} \cdot - \frac{110y^2}{105x^2} $$*
+Calculate: 
+$$- \frac{6x}{55y} \cdot - \frac{110y^2}{105x^2}$$
 
 First multiply in place: 
 $$ 
-\\frac{(3 \cdot 2 \cdot x) \cdot (5  \cdot 2 \cdot 11 \cdot y \cdot y)}{(5 \cdot 11 \cdot y) \cdot (7 \cdot 5 \cdot 3 \cdot x \cdot x)}
+\frac{(3 \cdot 2 \cdot x) \cdot (5  \cdot 2 \cdot 11 \cdot y \cdot y)}{(5 \cdot 11 \cdot y) \cdot (7 \cdot 5 \cdot 3 \cdot x \cdot x)}
 $$
 
 Then cancel: 
 
 $$ 
-\\frac{(\cancel{3} \cdot 2 \cdot \cancel{x}) \cdot (\cancel{5}  \cdot 2 \cdot \cancel{11} \cdot \cancel{y} \cdot y)}{(\cancel{5} \cdot \cancel{11} \cdot \cancel{y}) \cdot (7 \cdot 5 \cdot \cancel{3} \cdot \cancel{x} \cdot x)} = 
-\\frac{2  \cdot 2 \cdot y}{7 \cdot 5 \cdot x}
+\frac{(\cancel{3} \cdot 2 \cdot \cancel{x}) \cdot (\cancel{5}  \cdot 2 \cdot \cancel{11} \cdot \cancel{y} \cdot y)}{(\cancel{5} \cdot \cancel{11} \cdot \cancel{y}) \cdot (7 \cdot 5 \cdot \cancel{3} \cdot \cancel{x} \cdot x)} = 
+\frac{2  \cdot 2 \cdot y}{7 \cdot 5 \cdot x}
 $$
 
 Then reduce: 
 
 $$
-\\frac{2  \cdot 2 \cdot y}{7 \cdot 5 \cdot x} = \frac{4y}{35x} 
+\frac{2  \cdot 2 \cdot y}{7 \cdot 5 \cdot x} = \frac{4y}{35x} 
 $$
diff --git a/pdf/Algorithmic_complexity.pdf b/pdf/Algorithmic_complexity.pdf
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zbV5+MfL_%;l(s2+jl}an8qms{X<dWBtWk4l7_Op~&xWC!)p02&LT-hXO*^DfJ^ptu
zl<as{^<!w}Z_J=^=4yj2byADn>#`oL#H@zEnn-Xh{5gN5-H+9h$5r~ygc9$L*n7?n
zQ`^^E;*YayM1EUDAOu@+YJXa9ZF#20iBb(6j&94JBQa-9HB(=;%u$|xDlO?tgIOPG
zl=kJrn0g;BV}qNP@E=!I0?nb#ql(cZ!!wQRmV-0s;Yu0TYTe!O?hPOM)LLi@u>kkA
ze}TLrx@?L~NV&c+^PAnTMJs4oJffm(%=w7Uckk1bTZEdcrfj9_`a{~dpL_imWc1At
z3|FT5UHbCkN^8&cxFkYj<ttCVrogA*t(@+J)pL&h%~v6c5w=|tZB(Zg*dD%XLLYih
zVp4Z{ajX>kPmJ<p<!NDkr8eSFeb{huyx~v4CGC5cEcQ5~&F-h1#SHe!L%u8Nbbm~U
z7!Pi8lXR)-8fOc+LXcCqJ9?m>D|-1AnI^?{KB+K~<6k%%3lq71zh^@t$a%Iv$$z);
zjV%z&XK$*BR57`xtcEmEN2n{S8W|~@m?DsxhQ@GJH4P&TxE@&N|0Y--B`d$+0Q^m`
zng)VACk?zxlo{>|NwXK}*<p$?2dyw#t=8JXYNo40UiGC$+Rq#v`|F+7R4U}lupj|a
zlfsbcFbFD{{ykZ!Hm|0krmjW^`Y!RbJ%btDeE9uv;QlwnvhJa%Prv@{G&KPQ1rb^P
z^VKW9G@CS1pgV_Trlkr8NS5$U)|<V!bHm$FVz+^4S|R*}iSYs0B2}sq)j9_r3Sc5%
zT26sw)ybn1>;pq=Rn*f9!jDgBmg<bip`twlO#T!NAmH8SnKn`TmR@^d%<y8icR6`C
z=7}HFkq1wP4bA*x*f{Yx5IYSxaa{HcoNjMX2y0$t@$K|DEweqM@%>_WjMctg<NVg3
z?L`#!?b4fVN`>}(<!$vQ2dFMdLVm6G7VNh_5Q&%M#vTPr@77e<Cegq&40k%$tcait
z{<PradW=e1yM|Z-KeuA*hzu7^y8Y3Mi)J!SU!RXia&Pvp;YBhS(pIR@S7m$|9fF<(
zK3c30QlwG&tZEjt)>*@7^tRTS<>W}>h(zd<3Zy1LIJwp8b!b+FFo7F({<W1_{uNx;
zAPSF5A#dCOUM8}S8tUHcdEPh@iL}^WNjR~$iq#Ln-^vaxwJrDOb~*hqDmC|%SF6E7
z`oywao#ga%MUadNaw{j0qN1uClZ;#Rj<!%A@2Pa>M6a$&Y@dzVJNs>0P~gdYalr1I
z@;_sU6AvVn0R!OQf08syng-b+Tv#j?<g%gffI~o+Y~GblNZZUhmMI}|53fzm^8!i&
N;XE=jCbp(L{{sm<HN*e_

diff --git a/pdf/Arrays.pdf b/pdf/Arrays.pdf
index 0f8adaf5810d419b961c635ea960fb312f0f6152..4b480b84719e1511e79e5a384e1ec7c34ea5abdb 100644
GIT binary patch
delta 101
zcmeD0W$o`}ZP>zSX3Jz@Fx|qIQ4vUQkG5r$<Zw1IHF7p|HgIt=Ff?^>aWQkVurzVC
ZFmiM;H8FH@G&HkQupy*m`gT{w8vy?B87%++

delta 101
zcmeD0W$o`}ZP>zSX3J!5Jl(>UQ4vUQkG5r$<Z!ldF?O{yGqA9<G%<HHb9FT^adI>Q
YQijfEMkWU4&UOkmgp^F*?#g%r0R9yj7XSbN

diff --git a/pdf/Assembly_programs.pdf b/pdf/Assembly_programs.pdf
index 330ef7bcc08dcf84115f8f60f24633a9b2d6a2f9..eea2b0699c4804624be28018c9e3452d93ce6a09 100644
GIT binary patch
delta 96
zcmX?jl=<LM<_*hkGg%l+UU6FyNNqlS`wy$Lv$?CKiLr%|lYy(NrJ<>ro1vStk+G4Z
Wg_F6fo3pX2oq`P^C6l=xZ3h54lO2u#

delta 96
zcmX?jl=<LM<_*hkGnpGtUU6FyNNqlS`wy$Lo0*fjiIb_hle3wtp{s?9lasl#sj<1K
WldGG7rKz*Coq`P^C6l=xZ3h5JN*&k$

diff --git a/pdf/Atomic_and_molecular_sentences.pdf b/pdf/Atomic_and_molecular_sentences.pdf
index 856196e575afffb1dbc5d92ad696489757293064..ad4dadb7afab9ab613cc625de087525b4f3c6e27 100644
GIT binary patch
delta 101
zcmX^4oAu;x)`l&N%B4&e2Gdnb85M!_c8^lV1a@Z&XIE2WOE)KDBS%96XCpIHH%D_5
aR|`XD3kyRx6H@~_1sg(2roXOXyaxce+Z%%b

delta 101
zcmX^4oAu;x)`l&N%B4)^#?w_x85M!_c8^lV1a@a<Q)fpfGbcAkLpKW(7bkNQXLBPL
a3m0=kM`u%WS2sgD1sg(2roXOXyaxc+Z5%@Y

diff --git a/pdf/Axioms_of_set_theory.pdf b/pdf/Axioms_of_set_theory.pdf
index 42376da8e8594e0c03b59794a9ba7e064d4e8ac1..2233a25be28f03d45610cf295ab4ff28b0b87b2f 100644
GIT binary patch
delta 97
zcmdnn$+EYTWrN8tCJTefX1^4H)aJ-v`kc;=Ms9}YF3xVQPR8agZYD-<W-d+!PR16l
Wj^<8=CI*If3O0n4Oh3)c_z3{0iyMRh

delta 97
zcmdnn$+EYTWrN8tCUfJ-X1^4H)aJ-v`kc<L&W?`emc}kdW+ujF#x5=v&MuZl21YJ!
WmS(0-h9;JF3O0n4Oh3)c_z3`;!5cUL

diff --git a/pdf/Basic_database_concepts.pdf b/pdf/Basic_database_concepts.pdf
index 2d76cd4dd5fc5d8d8566bc4689a802eef0d55064..de14ddce884cf06bfa0ce5f429456dbacf1557a3 100644
GIT binary patch
delta 108
zcmbQ#&Niu?tziqJX*sKffq{YfbgObkIS6xmY&qi@E@u}@Lla{QQ)5>PXJZ#v14|1t
e12ZQ>BU48MXESpXBXc_i8$wF9=QJ^@F#-Vo?HZ>5

delta 108
zcmbQ#&Niu?tziqJX*sL8v4MfvbgObkIS6xmY&qi@E@vl8CnGm=6K6wbXD3G|Q&S^X
eM`t%9H%D^|7jqX^HzPX*8$wF9=QJ^@F#-TEYa96h

diff --git a/pdf/Basic_properties_of_sets.pdf b/pdf/Basic_properties_of_sets.pdf
index 7ffc64774df317ad5838a59934abe47391b0b395..328ef991dfa6902f405fe5cd8736c700359da4f9 100644
GIT binary patch
delta 102
zcmeBq!`}0Ty<rQZ<5MOJgXzvs85M!__Oz#rZ}^-|j7*G7%?(TqolPt)%?wPP3=AyY
bEKMw&%*|ZfEZhw26l@47**^6PV>u%LJ0l#R

delta 102
zcmeBq!`}0Ty<rQZ<5MPc<LS;%85M!__Oz#rZ}^-IjNF{eEsZTqjEyXvT+PjmTufa}
b4P0DI3=J(zoK4;A6l@47**^6PV>u%LPSYIt

diff --git a/pdf/Biconditional_Elimination.pdf b/pdf/Biconditional_Elimination.pdf
index 3ee8beeccc9856f6ecbe1102018c005524972879..493c8db6a8d1618a2f62b0c332af69bd53063256 100644
GIT binary patch
delta 102
zcmZqL$keovX~VRMtQH0ah9;9|Pn3hOHt(Cboz>aVz|zpb#L3vv%+$ch($d+@%*oi;
Z)YQP))ydM>&Dh*d!G@5M$vdW>0ssVM9H0OI

delta 102
zcmZqL$keovX~VRMtmeiBhQ^a;Pn3hOHt(Cboz>aM$<olt)y2`$(9Occ!qm~o)!D_&
Z%)-^#z`)4T(ZJMB!G@5M$vdW>0stE=9SQ&d

diff --git a/pdf/Biconditional_Introduction.pdf b/pdf/Biconditional_Introduction.pdf
index be86a9def3de4a9e0c0cd1ce9dd4e029602047ea..d1aa7f351859aa942913173e29f8e78fcf22ba4a 100644
GIT binary patch
delta 96
zcmcaOmFePCrVS}AOcn-{(^?dP)aK3>KUQZ$CnF<6Cj)aA7gqyg17kO16ANc!Cuaj!
V6AL3#7dJOM1sg(2CQEf~2LMf78ZiI>

delta 96
zcmcaOmFePCrVS}AOy<Uu(^?dP)aK3>KUQZaV{>C?Lt`@+BO^;kLjzY6LuXe5LrX&g
V6JrZYBR5Ms1sg(2CQEf~2LL}p8K(dM

diff --git a/pdf/Binary_arithmetic.pdf b/pdf/Binary_arithmetic.pdf
index 23e04f294a37ac9fa0fea698c6567717dadf7151..4f9179ccc4aa02e344878e59abeed988ea409b1b 100644
GIT binary patch
delta 110
zcmX>%iSyhf&W0AoElf=|tQH0a#-`KTZJ6XB%<Zden7Fu|EuBqWjm#X4O^r=W9gWQl
gTr6G849twoT#ekEosC@$>=bMWDcSzrohh6V0AErZ3;+NC

delta 110
zcmX>%iSyhf&W0AoElf=|tmeiB#%9yoZJ6XB%<Zden7Fu|T^$|WEX^&=O)Ok3U5qU)
g9bFAw-Ar5!j7==f%-zhK>=bMWDcSzrohh6V0DOrYq5uE@

diff --git a/pdf/Binary_arithmetic_with_circuits.pdf b/pdf/Binary_arithmetic_with_circuits.pdf
index 42550075ec60dfd009229b0abf6b1bfc26198ead..690a0d9453a4f718aabea083b50c2124f93813db 100644
GIT binary patch
delta 110
zcmZ4TOmxXJ(S{br7N!>F7M3ln5ot^o2GgU`SQUZv_S!U74Q^+17fTm&LsN50Gh<T&
jBSR-=Q&V$OGYeN&b7L1*V@FFn1sg(2w!bK3wP6GRwX7WU

delta 110
zcmZ4TOmxXJ(S{br7N!>F7M3ln5ot{3#?zzHSQUZv_S!U74Q^*+GgD_%BO^0o7dHb#
j7fTBhM>iu2S4UGvV@q=vLqlgf1sg(2w!bK3wP6GRxjh{Q

diff --git a/pdf/Bits,_bytes,_nibbles.pdf b/pdf/Bits,_bytes,_nibbles.pdf
index 09dea22feb2b950e7d2e1a2de7d589193b8a1995..aa7c871727d0269563f513e851a58b7aca9d473c 100644
GIT binary patch
delta 126
zcmey=&-|&MdBH&q3j+gVb8Q1dbpr!+O)h=k{1lhOl2io^7b_zJBO?P7BTECYlFb?i
w_p>^iIa`>R8@idBxjCB|S{fL*7@3<ISQ?v|SO9^Oi<_N-4Iw3ywT_<v0E7b}9smFU

delta 126
zcmey=&-|&MdBH&qb7KQz3vB~Kbpr!+O)h=k{1lhOl2io^7b_zJBO?P7BTECYlFb?i
x_p>@XnYuc<TDlq;ySkbhTbh~~xEQ-wxLUfnnmf9gnOYdzDcBHFGFj{R2>_*DA>04}

diff --git a/pdf/Compile_from_source.pdf b/pdf/Compile_from_source.pdf
index d2eeab24f4e95c0b7584beac721a900aea40134f..36697022d1e5221f0e4fd2b7ccbcf06ff7d11ab5 100644
GIT binary patch
delta 96
zcmZo}Wo~X|-VnHl$--cA@E%1VwYhAM1go=wk)^STv$468p{1pTp_`L|v6+F3i;JnF
Vxs$7#v8kDzf(;=hlP@0J1OOYF8ifD=

delta 96
zcmZo}Wo~X|-VnHl$=rBy@E%1VwYhAM1go=~lcAA?k+Xq;nW>qDo13wvxs#Exsf(G5
VfuXa7shgXff(;=hlP@0J1OOn}8j}D3

diff --git a/pdf/Conditional_Elimination.pdf b/pdf/Conditional_Elimination.pdf
index 0d7a40fb928b95a8d7d48761f6e6b02a70a945e5..888ab8712287fcecfb585685ed5b2fa60958627a 100644
GIT binary patch
delta 96
zcmaEGk?FxjrVU>gGFcc*{=QHVNNtu{bc)s4z|z>w#lXeX!pOkM&A`Rd%+kQp#Kpqg
W%*EWq&Be{cPQiwdlF8~Tb^-ti@*Ix<

delta 96
zcmaEGk?FxjrVU>gGMO7s{=QHVNNtu{bc)s4+|ts}#KqFs$<WZr(ACYz#mvyv!o<bc
W+}Y9C(9F`wPQiwdlF8~Tb^-tgr5tep

diff --git a/pdf/Conditional_Introduction.pdf b/pdf/Conditional_Introduction.pdf
index 583a534d7dcf7a0ec444e74c6e0cf7e21b39a035..ffc5463b9e384acd194609458ee9cd85ae324da7 100644
GIT binary patch
delta 100
zcmeA=!qRnwrC|%>PDv&UgXy~^85M!__Ir|y-0V(HCT32KuBLA0hEA>~W)?2ahCr^f
YnX#Lbqlvk(g`I*8Atlqb6&ddX0D7hxMF0Q*

delta 100
zcmeA=!qRnwrC|%>PDv(n<LSF485M!__Ir|y-0V)SF6KsVPL}2-jz%VihL&#TW~OGA
Z#zq!KmIfv!ZmxC;HiVQ+*H&b_4**^B8Fv5x

diff --git a/pdf/Conjunction_Elimination.pdf b/pdf/Conjunction_Elimination.pdf
index 84ccaa01747c64d6b223e0caab7b5207017163c9..d098cb2250b91cc74b96cf18e88e0d3a584c4d7b 100644
GIT binary patch
delta 96
zcmX^6nd$6jrVXn$F<BT)Ub9INNNqm9iJ8sWz}U&$z}(c-*xb_C+05D5(9PJ<$jRK&
W(9O-!)x^}mPQiwdlF6bwcK`t8>l_3C

delta 96
zcmX^6nd$6jrVXn$F_{}rUb9INNNqm9iJ8sW*u>S)*v!<`+}YU8)zQ?@(ACAv#Ld9S
W(!kKn(8STzPQiwdlF6bwcK`tDI2-x^

diff --git a/pdf/Conjunction_Introduction.pdf b/pdf/Conjunction_Introduction.pdf
index 00239275e19324d2357701097902c8f011675a57..85427f2c145c87127239ad5946e2f095348ee126 100644
GIT binary patch
delta 102
zcmbR6jA_C%rVY+(SS<_;49zBctdWDTHfOI{#p-P8Xl!C&YH951X6|ZWX69&N=wxW<
YXlP_<VQFk?XklolU_(gB<cLi>0QICB#sB~S

delta 102
zcmbR6jA_C%rVY+(Sj~+M49zEdtdWDTHfOI{#p-NsX<%t=Y3b%<=;CN;Y-aB4Vr*pO
Y?CN4}>|)?z;Am>6U_(gB<cLi>01Z(bd;kCd

diff --git a/pdf/Defining_a_computer.pdf b/pdf/Defining_a_computer.pdf
index 3b898cf7ba8e391531aaac9dfc5cd5750c0d621e..37d5c7e8727fb54ac6f0bc79d4f49c3fe261936d 100644
GIT binary patch
delta 128
zcmbPtS!dp5orV_17N!>F7M2#)7Pc1l7LFFq7OpMaA~LKN1_s6!(<NoN<si)MHZt5_
yxt*OYP0UQ(9F3fu98KKJ3=GVT9GwjuT`i0ZTuluP3{314YzQgYUZTOR#RvedNFUY!

delta 128
zcmbPtS!dp5orV_17N!>F7M2#)7Pc1l7LFFq7OpMaA~LMz#s<cg(<NoN<si)MHZt5_
yxt-0NU7gI#-3$z!ER9WE3`~q%Ow3)K9Gy*FEX^GqO^oamYzQgYUZTOR#RverWFSfa

diff --git a/pdf/Design_features_of_language.pdf b/pdf/Design_features_of_language.pdf
index eeac4a4a144a70808cb08e8d3e8d2c7db2a6a7aa..bfb948624d0f3dfd4402e38a5194e662ca55c111 100644
GIT binary patch
delta 127
zcmaEImHEk4<_!)HG%O4Z3=Omm4Al(`)HS*Eee+XX5=&AQG+eBV42+BnOpGiIz)Ch}
yJc#6Uc6K&#b#yi|b22tGb#b+Db8<9xGB-6dHgYyLFf=i7v{SGlq+~M7s|Nr8`662Y

delta 127
zcmaEImHEk4<_!)HG|Y_+3@o(`4Al(`)HS*Eee+XX5=&AQG+eBV42+BnOpGiIz)Ch}
xJc#6Ub~JT$GIKF^G%zzWx3F+AH*o?gaCS7eG`F-ccQrJ#Q?MbVWHQUE2LJ(dB3S?c

diff --git a/pdf/Disjunction_Elimination.pdf b/pdf/Disjunction_Elimination.pdf
index afefb99a6ec1741c6b1d156093541cd1473df189..af70ebfdb3eb982369bfa3bf552357f6e74302ea 100644
GIT binary patch
delta 101
zcmex=jP?I9)`l&Nd!m^v45sgkW>f^y+aE?VX0bV28o0QbnwS`v7+Jbmx|+C{TDln+
a7??P_S-2WHJDM5TDcBHFGQBT}@go2?I~=J1

delta 101
zcmex=jP?I9)`l&Nd!m`lji>L6W>f^y+aE?VX0bUtni*M`8XCK~I-58;y1AH|m>QTn
a8W|f}7@HYenwq%UDcBHFGQBT}@go2>d>n%S

diff --git a/pdf/Disjunction_Introduction.pdf b/pdf/Disjunction_Introduction.pdf
index 223c833bac4e7871f5b0f9eeb5a5183b68ce6466..b8fb8932db87af4096d974630952a106c9c4d55b 100644
GIT binary patch
delta 101
zcmX@IiuuSY<_$;Auv!=x7+Ov~c}5Px+Wh8>ExVJYfw{4Xfq{#Yg^{tNg`<J9fvcH|
Zg^Qc9qobp#qqC8nf(-#Ble4ef1ORE<9t{8h

delta 101
zcmX@IiuuSY<_$;Au$mhi7#U1Hc}5Px+Wh8>ExVJkg@LoVg|V@vxvQzOn}M6Dvy-c-
ZtD%{riIatyp^K57f(-#Ble4ef1ORI29sd9T

diff --git a/pdf/HTTP_request_types.pdf b/pdf/HTTP_request_types.pdf
index 500ea48ccc579e7e99be9205306d100dfb3a8046..51d7ccee06050aaae961150c06de44b20758c90d 100644
GIT binary patch
delta 96
zcmZ4cmTB!<rVS_8F<BT)KD|y6NNs+%ZXuhqiHnPwqpPWzsfnebv7w2jv$K=2rI~?|
Wvx}jbxub!Joq`P^C6h00y$t{ss2yVf

delta 96
zcmZ4cmTB!<rVS_8F_{}rKD|y6NNs+%ZXuhqfw7~Jo1u}Jp^Jr^qpPd2nX8$hnWd|n
Wqk);Lv8APxoq`P^C6h00y$t{&tR2??

diff --git a/pdf/Indeterminacy.pdf b/pdf/Indeterminacy.pdf
index 68202514468627b8dc569ea6b27f84fbe866cc67..183729a37ab2ebd54ca702ea2664f6fedf838505 100644
GIT binary patch
delta 102
zcmbRCo^9HDwuUW?7HgO+45nMHVN?Xt+hf--zT<Rub~ZIIbagc}wRCc}uyisoFm^RE
badtMhurxGwHFq_#Q?MbVWP9H>Mh->*9Az85

delta 102
zcmbRCo^9HDwuUW?7HgQyji+0!VN?Xt+hf--zT<SZv~V#tFf}!EGctE}F)?$oFtac<
bF*Y@Fbak;baCJ4XQ?MbVWP9H>Mh->*72O-9

diff --git a/pdf/Law_of_the_Excluded_Middle.pdf b/pdf/Law_of_the_Excluded_Middle.pdf
index 0931b83735401a5836e6cc14051401cc8fdba863..208a91f6fb3273c64476dbb92453bbaa45bae6bc 100644
GIT binary patch
delta 96
zcmZ2BjcM65rVXYoOcn-{&07?K)aIy`Gpx=gCKeWEZZ0kchDMeyE`~0K#s(ISE+$4s
Vh8AX~#*S`w3O0n4OwR1u3jiVp8RGx|

delta 96
zcmZ2BjcM65rVXYoOy<Uu&07?K)aIy`Gpx?erY>$y2BsEfZkEnY&Q7kTPKG8X7G}nV
Vrp88w&Zeez3O0n4OwR1u3jj4O8Z7_-

diff --git a/pdf/Logic_circuits.pdf b/pdf/Logic_circuits.pdf
index a16e16aba751dc581db70e67b53a8dd68bc20e12..2e859ecab0eeed285c86b765ca1e7786b523d475 100644
GIT binary patch
delta 123
zcmex<p7Z;8&W0AoElg*lnJf&ZpO0oz1k&3-MKjfM1sXV;I9a-xxmr4!nHsnnJ31LS
v8yK0o8k@NqIlGxSnb;}V5L6P&rSFrPmtK;gU}S7Kozaa+bNkCQCO$?07d#?p

delta 123
zcmex<p7Z;8&W0AoElg*lnaqu+pO0oz1k&3-MKjfM1-h7+n3-D`ni)8onOT||IhmW7
vn;4iI7?_$Gxj37-y4We$5L6P&rSFrPmtK;gU}S7Kozaa+bNkCQCO$?0>Y^dC

diff --git a/pdf/Logic_gates.pdf b/pdf/Logic_gates.pdf
index f5d998de1cbcacb59856bef4192f8e4cf3dfd07b..11ad7de696ad99cdd619e950abc65a828dc67ef6 100644
GIT binary patch
delta 118
zcmaFyM&iXAiG~)&7N!>F7M2#)Eo{XatQH0aCI-_hG}z=I%<Z!^*qphYEnVEqOr2aT
o%#AH9oJ|cZOpTq5+{_Iv4U7#8EF7H;?G$VXDcP=Q!sgBd0KRJ-=l}o!

delta 118
zcmaFyM&iXAiG~)&7N!>F7M2#)Eo{XatmeiBCWg~1G}z=I%<Z!^*qphYjSWrBO)L$K
n4Ghf<-CPXJjEqgp-JG4x%ngAuPHvWV3O0n4Y*#d4b7ukos7xJ}

diff --git a/pdf/Logical_possibility_and_necessity.pdf b/pdf/Logical_possibility_and_necessity.pdf
index 745472a56ff9dcbaac0dab47ac8bca1b2bc0eff8..d63778d1fc94ca95490ddd116c5875ff143657c8 100644
GIT binary patch
delta 102
zcmdnJpMCd!_J%EtfmfI;45kNPVN?Xt+sm#ne&TdCbF_3ba5XWta5Zx=GqA8QFfq4q
bbTM!<ay2q?G<G$&Q?MbVWc%uSi~@`RRo5J`

delta 102
zcmdnJpMCd!_J%EtfmfK!ji(1+VN?Xt+sm#ne&Td?wQ#gFH83)Ec5!xfHZ(RjFmf_<
bbu@FburznIFfeemQ?MbVWc%uSi~@`RTrwQb

diff --git a/pdf/Lovelace_quote.pdf b/pdf/Lovelace_quote.pdf
index 77b026b225ee36b925718fa5dd91dfb68795ff33..f1b65385ed352c83437a7f8528fc03bd722fcf48 100644
GIT binary patch
delta 96
zcmbRBgK^dm#tlYgOcn-{P0AF3)aLNA`z+3Gj*gCQW+vt?#%6|YW{%FT&Zf@J=BCE3
VZq6poZf3@I3O0n4Os=e62mpRe8({zd

delta 96
zcmbRBgK^dm#tlYgOy<UuP0AF3)aLNA`z+2bh8C8N<_4B#W==-tZWhkQ&Ss7lmd<7t
VhAz(L&IYD-3O0n4Os=e62moOz8m9mN

diff --git a/pdf/Morphology.pdf b/pdf/Morphology.pdf
index fa0e03868ab2a42a6fdf8767a4e60892616c1a1a..a4d850ee43d2f9ce93605ce919ec4745252e5349 100644
GIT binary patch
delta 101
zcmex=o8|v)mWC~ivsIZa45rUjWmE*x+YhKRYOy;zy1JUVnwh&;7`a)Rn;JMe8XH&`
anOZm+J6agJ85tYeDcBHFGF?}f@e%;y+#1vX

delta 101
zcmex=o8|v)mWC~ivsIbQji=95WmE*x+YhKRYOy;T8k!kc8aq1~Ia|88IlCD+8k#zr
a8d{ngI9XU2yPBHWDcBHFGF?}f@e%;sMH<oo

diff --git a/pdf/Negation_Elimination.pdf b/pdf/Negation_Elimination.pdf
index 46e2f011f19af70a47bb723b7fb6876328ac6e3e..a9eebd622731600e67a34650509f38c8fb6f65a7 100644
GIT binary patch
delta 96
zcmdmUn`zH&rVU@0F<BT){=Q5RNNtu{zJb-*+}yy~%+1u%#Ms5uz}(Hi%*@%zz{S$S
W*x1O_)yUY{PQiwdlF7Vl*8>3S*c;^l

delta 96
zcmdmUn`zH&rVU@0F_{}r{=Q5RNNtu{zJb-*)Wyuw$k^G?+`!V*(9GG~+0n?^($v|_
W&CJly*ucomPQiwdlF7Vl*8>3SXdCGO

diff --git a/pdf/Negation_Introduction.pdf b/pdf/Negation_Introduction.pdf
index 46d728d36f579b786dba3b161429f11fe35aeb86..0a78c1440495e8debb1ea66611cb246ba41d1a88 100644
GIT binary patch
delta 96
zcmX?pkLmb5rVYF+nJf$@^RH9{Qk#uds<S#fnpirUS(=(TxfxlSnK)XSnHd^b8ko3R
Vn3y>m8@rg<DcBHFGI`Fr)c`z)8bAO5

delta 96
zcmX?pkLmb5rVYF+naqtR^RH9{Qk#uds<S#9nz@*}xf)oQJDVAqnVPw|Ik}jcI~qBe
VT3R|e8n~L<DcBHFGI`Fr)c{c98rlE=

diff --git a/pdf/Object_language_and_meta-language.pdf b/pdf/Object_language_and_meta-language.pdf
index 4a2c645502b9cf1f5bbfbdf9c71822ef72c993c0..9600780cf7821ae161aa8fba42adf99c5f72f59f 100644
GIT binary patch
delta 101
zcmeBZ=IChVXxPGN`;E!MV7mP`MnxdKJ?R_cbxvm!HzNZJ3j;S33s)x-XHz3*V+%_Q
aLuY3b3sW~IS4S5+1sg(2w$?E5FaiMThZ`0E

delta 101
zcmeBZ=IChVXxPGN`;E!mc)I;JMnxdKJ?R_cbxvnTHv=<QQzsWQH%CJ=b4xcD3j;F)
aLnlj96E`C_Hv>aE1sg(2w$?E5FaiMbpc@DP

diff --git a/pdf/Package_management_in_Arch.pdf b/pdf/Package_management_in_Arch.pdf
index 69b921abfe1df99051446b9bf5092340444d58ac..ed23f302ea5a6e819aa2ea34b8a6c9876fc154de 100644
GIT binary patch
delta 100
zcmbQbnq}&0mWC~ieY{K-2Gb|-GAaV;?VEWSFR(e885ud6nYlQ-xSE-}85$c|Ivbf9
an7A3bI+`1rJGq(IDcBHDGX1Cs;{^a*avC@Q

delta 100
zcmbQbnq}&0mWC~ieY{NO#?vS8GAaV;?VEWSFR(co8=IRN7?`@5IlDMo7@L^68JN48
ao4C4JSU4KEIJubEDcBHDGX1Cs;{^a(^cqY6

diff --git a/pdf/Primary_key.pdf b/pdf/Primary_key.pdf
index 1c4c92acebe0c32e438cc547466e60d5391d9c10..d00e2f8b35a66c4738b645f3558ffb020a9a148a 100644
GIT binary patch
delta 107
zcmZ4Tm1W6SmWC~itBqJK3=9k`rf)D}l!Gw0Up8Xg&*p6DWa(<`W^Q2Q;%sSPVd7+H
dX>M+6Y35?#W@&6;=;COnU_(gB^sAPP=K+h19Yp{D

delta 107
zcmZ4Tm1W6SmWC~itBqLAjSURUr*AM~l!Gw0Up8Xg&*p4oVQJuM;ArgPY~f;P>TGD}
dWaeUFYHn)iW@=(#XzXmKU_(gB^sAPP=K+Ey9RUCU

diff --git a/pdf/Queue.pdf b/pdf/Queue.pdf
index f8b6e70dcc90b0f238634f5da81edbabf3aa31e8..202663f61eb870cbe61685543b946bbd22651d24 100644
GIT binary patch
delta 2645
zcmV-b3aa&jw+Vr_39xAf5Hw;oFgP}5G%;i|Ha0e9HG_Euhj|78w|NEvc}M~{FqiaB
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delta 2646
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E3Rwsrn*aa+

diff --git a/pdf/RESTful_APIs.pdf b/pdf/RESTful_APIs.pdf
index 92c0adc2eeb12d9ff562a24eb79a2a6d6e409a16..3776a7e8939d5cf9799f6e15fbb76447a5c4eaed 100644
GIT binary patch
delta 102
zcmbQRi*3R#wuUW?k0vl#7)*aMfl(1iZ)cy#xRJ}*$=TT1(!kNs$kM>s(b>S<(8<8S
c(ZJEw#oWNy#KgkUPQiwdlI_1|Gm0_-02s_0<p2Nx

delta 102
zcmbQRi*3R#wuUW?k0vmg8&7{Sfl(1iZ)cy#xRJ}*&CSrs(8$o($jH&j)WFTs&D6xe
c(8<!s+1$j$(%9V9PQiwdlI_1|Gm0_-02Ck_$p8QV

diff --git a/pdf/Recursion.pdf b/pdf/Recursion.pdf
index 576d0ce762c18ac9618039114e51d6a920f740e0..5b7a0b7ea3a288572a09018ec5658b339683dfd1 100644
GIT binary patch
delta 104
zcmZ4RfNQ}6u7(!IEld>)nJf&ZS1n{x1k&5*E@V2#<Lu&WWN2hz;^^vP=;CJJVs2q!
dYH8_eXku<+WNzT%=xC>4LrBT?b?cal7y*Tq9ZmoM

delta 104
zcmZ4RfNQ}6u7(!IEld>)naqu+S1n{x1k&5*E@V2#<7{MN=wxB(>}+XhU~FdLZ0_RX
dXyR<*Z0uxiYVKxWXl|!qLrBT?b?cal7y*Bd9WVd@

diff --git a/pdf/Reiteration.pdf b/pdf/Reiteration.pdf
index 6e71e9ca11d5436d615d41a0cd81e12c8433cbeb..e69cb4d17a67af1ffa50323cebf30fea82c62310 100644
GIT binary patch
delta 96
zcmeBMz}&Zhc?0K3CJTef+$R-*)MmYt&sd$E++0k|%p9G}U5zX(oLvo_3=N#!T%AlE
VO^wV<jZGZw6l@47nH+w8I{;E;8ub7G

delta 96
zcmeBMz}&Zhc?0K3CUfJ-+$R-*)MmYt&sd!;Oq?t%oea&)O)Z?A4NS}(UCay|4UCOU
VjLlq4U7gMB6l@47nH+w8I{-QF8f^do

diff --git a/pdf/SQL_syntax.pdf b/pdf/SQL_syntax.pdf
index cca60e7445fe4728237f699475652ace7934604d..9ee975eecf3652ca321fa229cbe9b216387b82f0 100644
GIT binary patch
delta 116
zcmX>)P3h<~rG^&97N!>F7M2#)7Pc1lEgVHnOcn;yOPV+of%Nw2O&pV0oh{v*Eu0-K
poh;4FoXibPO`P0JoeYiK49uL}oSogwT<sKW2r1c~)4_3*2>{Y*AY}jm

delta 116
zcmX>)P3h<~rG^&97N!>F7M2#)7Pc1lEgVHnOy<VZOPV+of%Nw2O&pV0on4)ron4%q
pjV&FGoGmO3T%61;+?))|%$zI?EgjvQOzjkG2r1c~)4_3*2>{zfAaei!

diff --git a/pdf/Semantic_versioning.pdf b/pdf/Semantic_versioning.pdf
index dc9551d3a795d6220f42e04d6e4576045a2218f6..90d5e133cb28e2490bafbd168ccad61c2c8997c7 100644
GIT binary patch
delta 108
zcmaDooBj1{_J%Et4-c|h7#J8EPk(lhQ4Ye~&UuKjg3H;&)y2@!&C$)w+1%L8)WXov
f($K)g(8Sr<z|zRl(8<(J!G@5M?MKcqsxtxr2>%`#

delta 108
zcmaDooBj1{_J%Et4-c}M8ygs#On-KeQ4Ye~&UuKjg3H;_*u~k&)y>Jk$kN2f(ACYr
f+|t#|(ZbNc%+<ij*wocd!G@5M?MKcqsxtxr5_KL~

diff --git a/pdf/Soundness.pdf b/pdf/Soundness.pdf
index b2125b09ca335fafc98b1dabb6b0ea60a8de878b..b1f1a4b5c7eb7efe9bf99b52ddf17749ac111add 100644
GIT binary patch
delta 101
zcmX@q!gi>Itziq}+6pEMgX!xl7!`r^_DdCvjvUVBMy^g~Zf@q5rY5eY2CkOQE-n_9
Yt}bRqK*GS-(cDhKhLDo!VU3J$0PnXPBme*a

delta 101
zcmX@q!gi>Itziq}+6pFf<LT=w7!`r^_DdCvjvUTrj*dnq=1z|0=BDN*jwX(drWR&K
a7S5*5rY=T~hE9fd3O0n4Ob=^hd;<X5xf_@O

diff --git a/pdf/Stacks.pdf b/pdf/Stacks.pdf
index b96a9f4fcbb079a650e96312b3ea3b26a0f7a3a7..ecc43bc0e0b961873041dc344ba46f9d0fa07a3f 100644
GIT binary patch
delta 2297
zcmajVX*?4Q0|4;H<UT@$m?JfdC)w7FJR7l*+{uw636tDs&a9z%k~2a?n8-$!bD24k
zJLbrpGs5P`$Qj=E`}^Vj`v3h2L_PwMkCF`#amA{;XgFi9LE&(O8q^h1MFJfEuf|Zh
z;;394byO~Z0Scr6fj|&{L!e*?1gylbYU1mPc@Tt^zl_m@L0~Wl9CjU|0jUF_0fL;I
zqJar@aD9L(2aXrYl1xiBhBk<2rDuJ~N`UMWRZ>PQ$l26;StGDO<Ck{wzD9{GW&j!;
z(;Q+u0_m>L8YS7}Moyw_SR|F!g%8%b-=rG9wI!h>vfj7^5V}~$K8QBO9Chh2eYLVM
z+QA0|xcs^F#=`G`uum1e?43RYyjR_Wt-0Ce8zG2$l|#rIA@nhCFWD<nUZ+&2PF_o&
z05VC%9*s{1rD^nUU({F6qkWV7$GMQqLZ6?0^*TQaO^fXpMpbqNe@Dnw_t$BGa3|XP
zCnqniQ!-*ko5Of^B*z37&F7~VPBu$wWTh+?$@TJ+->MG@NT5EUVPtDe`?x3&ja&;g
z(ZVry{*;NJ@sri9P}^bODj8gS%TI^<v>zXc?ooMX%Md`5M+vXWE)*RKSo*s-W%d7E
zMCM4hK;L@@({1+KAyZE14kwvC<7UPNxw{rNhhd8}Yu$-&1czVB1MIGpLQF~d+CI-g
z<h92JYx<-s2YyzZ;IJN`Gds^a@f5HfilcP8<HbzzlLc?!(<{`n(KHT41s~E5sc*Nu
z+9(Ev)P5C}K1Aimpc)*@pSAZ7JMYS<dES|2MOV~qJ@^e5JBKf@h6h>RDWDDN=;{NF
zQ&UGJ6pMzX1bM^WMssSM!<Qv0EH6<d=Uv2ni-Y_w*L~HU=D-8w(&Vi*&UwV)7--24
zSaRIn)9x|5W<0d{ga7;PrQC%4;XSY#AYGH#02KcENz@8a#O<@pLAzP#ohu;B1d*h$
ze%S-5P_emJ7ga5831Ydi6oi3Ijc9R!;>+5X?yhLsU~00S){Mb^ZL@jj;aSOQ`RB%A
zCG!s&3zGGYm3d-8r)nHcHBmT00TCr#0c3D$NK3vF=GKh%Lir7h=2s)h3kC=9_&+=S
zBq*NGjg;@W7&KHx+SDQoZk?DYRU?86zJKFSL};uZbrSglRGt8i%%O6UMVTq&>Gr+5
z8=0j6(<isrYlC5JoZlZ=B(Q^SyM<}=)8ilZv)M<zO^%HxbMuQ<2;7S$2SL-y70FY@
zn?>@<26=l#<_%jk_vg8;UOPWHUz%R>3sG6yM9%StoAa5Ma*>vLK#@sqWb|Ozd9$H`
z%}AIDFKd7WdrjxMnH;`-Z<x<oWjXZUKqSBHfJ?X`WBEEgzhVVMFI0yYhXi3d;03!u
zx^nJ@C;4|YiGkSzIIiADI!5(H_b&tgLatYxZHLuA$%;xyvH_1aH8j0naf%_kR=#Q9
z7uKJ>f)o*L1-Etn>kj=q5lJBk)yD7-x#_a6o&j%vTAGh{98%v7aZ>2pTJ=mCywNQK
z97z+Sp2rS(39opG+aRY(&RM;+bH#3*;@vWnDCv4~K0s$&0oOI;Wvo5K=qWRfBr~3k
zH2d$TfcaFK-162cwi#;eYj-5Iqqdko+4XIqP7itJCahwO9;WzBJ#Kl=iXPCC0Q%K9
zJLaIicD(8+ZxCAX43jz{yM%3@?U|W*Lyw5!%V_%gb6k(Fc*8crE*0-e#VJQ7i`J~V
z$=GbQP588|;e>I40VTukfx2moo=`*ZUb;pX{mA{Od#A#irh<!~VqC?23Og*UJRATO
zUzhB=&^Mo>&~D;FP0~EG{vvTs7x|<B6}QNxqnLcNW$VcYJJ*z>i%Kky&Nza&mFI<(
zO)G+{c-Ix7o?05Exn}wPt-RpS470iY(T9w_nMUtW+%%0+81J@pL^j#N<I8IDcL<dN
z2mE)1TOv=F=A?QJvfJW(U&OgKKJ%6%$Db7y>WStdl=yE_KwiPo8B>)e$hXOr&}Bf*
z(Ba{!nYK$@`|?1H6&38o)9zg*C~b$m!Bv<2`zg=TNR0jsS*h>b)^4L(93iq(!Mu~_
zeRxE0Q%)hVC=Q3{yw-a{^rsOzPU5wO^O!O4>~ZRJbFRpd%zEdfLo3}b&PVLEHFf4Y
zRy%lSoKe2F<f5(NL3ibiT^OnSgi0`<n&|Uz&asVk_a&j$9}n%furfm4sXBwGleZi$
z9jE^8qviBvx7d)5KmM`JmH-_nQ@#@={H<`afS~E3AM678;_&FE%2W3%4&v3veFL+q
zprM0FYrb-Qs5%)>^C?ZsxyL%^lF`9tarF^R>k2iiq855FmZ&6nxaMH)Axp~qBS(52
zp8cMiM7)XD+zHC3see%`@{lQYmN5)QE8&1jxc^4`ZmIr6u4i>S_H;{H2R?oSN6Xjr
zQ8sB+vX3LF=XY;(mL}NU!1fsR{?Hg!G>wd~on`fa@}qNF?+^KZ3}-pg!-Z4@N1cDM
zu-8qN#)i?Yr?vjL^9q@k7Kl_c>mTw<i$;n4kWSvbc>XQf@o7E(FKk|9%W0#DyJ)jU
zW@+IR%4*TD;#Y8CMvg~1c{mG&^RTq<6^9#+dMwDQHN4XwSMk7<6TGd?gg-78-q?1^
zNHVP&n5|FPsx<pd9wmmFr&HQa4?2sS_KTj6gd`c2^<@$RUV~%U7q0S*-%DM%{}SN3
zUZoY~xkyV+vqkXSK6!2+r(Mb(7Vr~`+-2J74RkOl*_Eqj9z_%TUj${~GCcpXv8ZF|
zUzu$zFuu7NB%&%#;r=tGC#T)Zp4eIhLYBq@*!>-h`bg|yA|%r@nAfCym;?D>lxZo~
zblN_qLBNzYNf27I39QVHujq0*%isy=3DT4;`?;vaaN~Uc?4P%L_Hs>5_R@{zD<bFA
z(kXuTvY-;i!9FvwNWFg$v6q%NYF9fL&9vh2A_;|CM|#7`T5zA$(s&QKx0h5eC=SfT
z7x95AB)a~LO`0*inKRuLAVlVKGk_NwrmhRo)xp5@F#6YEYEXzi3<`%JAZT?AT1`zu
R2c{*D{C}lR!yI7B@gH`Lay9?}

delta 2297
zcmV<V2nP3tqX~wi39y<15N0+wWMeWkGcjW|GG#P3WV5OQ{sItYHaKKsGBh(WV>L2m
zG&f{}xCMu}1p&9X1p-JtB{wrLFg7bNF()uECn*XqO>bmGVRU66C`39kFfuYQG%`6b
zH#4^-Ljnu~1K>20w=_lqF9CnZ7(2$~BU22o1tujXF(xBS{%8xNwbZI6ZWpGt%p8-X
z7RcLD<GQ-s(9j_8U6wVBvM%Pe>QyJ-_R!V3YRfRWt5qkphA(xoW6uR9=a`&f^18p9
zO|i-5%?7qn4Qt-6zN^hiYvRT`d3|(V?rXEWy|WEX^NpIkPJHp(9z%cSrlF^`p|g6_
z`IZT6CM0d-_6(&qhq|h%ns1-<#%?b)@eO;%(3@jib^(vNsGB*QZqT@>lj#=ub;~_N
z{oV&H^sP_H-~Uhk|NmkRtmWV}aNdDE1~x-El(;wffBb2!hlW)7sxHVjHSNA34~LN<
zuk}3kk3Z?$5KlW^lh1#%JwGeNP~bN0a7<S9+ib_5Vz4>a*Y3FMD4L%q1*;85QyOC>
zYY6H70#)1?7$)=z>1qI_)KFKcj1VxK{VME#FW3L&a`qDwQs=$Y)qY<2u9c8BwILV0
zO0;}3q$ts8YkU5IKHrQTQoE5Vi#}Y{z)9XRhnT!)TO$F7aSVSfGFqU7Q{Z+eCyjSH
zF6;GVfQg8ks=cc7eJkzKU=Pnvr61)qt^!dHuUBiKF?6-qeMimO6!^N}>+O74J&i;~
zV5k)h9o1Cmu5^%)5eHLb<n@IKX|)CeLf)s~08T|9YoiGIIWC6yn8ceY9URInvygW{
zpuoo@h!swS+Tnlm5Qb~n>LEU$GPV|QU<|Np9IEnpCnIPz{z;7hrOqfXhXZqNM3oJx
zfg5_j?vZF)=YoTJiK<2!oMv=nj6`_l$ct1GLzzJttPRptZG>s4iKMM08rjgUbmU`^
z&o@%OEie@FJ_QCXNFr0-sd$)g=wp$;$^l^sL9LgQP7i;>0z`_?0#9A!T`*`0QPTGh
zc`Fc+4)YR52$DXHBELPfYD{2)nJTDPIo<TEYP`=X!~B0!3aw3DC^xl2qYaLGKk}%8
zTuYxoKUB;I2I(c_s<$yd*863uocDi}yKS9J@c?(46r(&{lvy4Qbg$wWw7h(O^RJih
zf4F#gmCb+RITwSIY&r&kX*?;23X&)Os5(&Akb!V`a<dj3O~Pc+<6?wIR^veSS-kiq
zNhc3g5eLM!0gs?`UdGdObUdF-6T*7*x=dzo!O^20eOGmYRSP;E;vA2HNA#GU(ldHa
zFX(G}Nw4S)jp-d7(J@WvJ)O`8n$kb$l+Ng!W^{i+b6U`nF6kEv2LO-zEQPU*ZXc!}
zqvO@d^)K%)YC729Dw!;&alV5QI13L%#PCTmG9p@xur?p8VT0|U!nB!?yvxK1eeSuq
zqSy2d{T-Ny^E~^Sqco6m2Z!~f1a3yzG@C;@o5dAR_i07drxsb+JORS|)5U3WUxr*z
zwn%^SG#k^;^z$++6W{7{p*3(^KIBP4%deSd`z!r(jdA-F#*g2;y1Be=F&^02LAZ7m
z;nEo-T(?~?>bhXG&jklut(ezl5A$*5aVu{_`dXew|LRyCJ;n0(H)rpjUxMW?vw3z=
zg6VtKo>pWa8SbA7-(y5AyIIH8e6hA$aJzrQ-<;fOHQJoe<nuC~(g{8#PI7NQTEDXW
zYuj$ipJMm3%U^EZzNqYebctyWhI5Fs_@;<)(-^L!&V>77W4I7cUue%^c|nlL<5BQ@
zpQ{!bWdBIYx*GDKp+(hNNP2vgA(=%oOT)75E-Y{@`d5-?9iHV=c>eX-v-7ua8=imn
zF081c*?IqJ(|lkcYb~g~q3nXb0+vHC-$UwVB%8E+@!{LzA(?Ms+sCRRMMT50;DO<3
zTs&+ETb-a~w`>#7=c8;4y1?f2{yxEXF-bu_2nSIW?g`t0aoa4zhE^F+!L4RJ;K8}|
zpb?OV2DgEg*|kr=okw>a!ghw+0YrZ{*d1X{0GFWWa92Yw;9d}zg{_h}5%vkVf222X
zCq#dTJMuQyaIe;(n?$A+?l*VYPn~`Cb1VM&*bk0cFBt+MxwUL=4<l5!wzHbpW)>mZ
zn`)1{-E@BNy5(Kzi&zQnb`lqfe`LM$?xwS5@Rh26EPs~fMTx!&EcfU|Tor$~0G&7K
zxO^yxsh;4kEWy{SzT!>x+Z^U>44$-O``d?e&uzyVRJRUQxLr`i<51nxq3+(VyGSj2
zgjCTWRgWW$o{n_q{<;QKYyjnLpggL9>gZ9Rjy)ad?hSDbsai*>Scg*GP|6=i%AbyO
z=a#YtbYnr`t^HOn)$Vbi;`@ItsE(UT({Rexq3R8&@;h=WqZUxv@>26SPPK^>-(D8@
z`f>@V;O6kxbX=_7x>v7W!wbW;82ox!PSZJd_0aHx4?h}0gHviK1g*O6nZibdpTzja
zWBf?Q=c*T=t^$0SCtvWxk~Y@RldpQJXm?Llxza0qov7ue8s%y=W{-aw)mF0wjncIm
zxkn9esZn-|8d0lZTh)Y~ovFh+J(#7V(`+=jF5|rHlkn>GC>|6gZ1ID%7{mjdpg13l
z;}Wa$<)~cd$)J3Q%RzQmB>9)50Ga!&kKbDP?&D;Z%|X<EBGSiCs(keVoCM#!x>iy2
z@iVNZEc-;7;3)JWouz-}8o-s*?Ya>QxNj)aQ9K>Qiv_F!KX%c_PqV!Cd^rcqdA6K9
z^zpMUU)g>m%;j1gLQ`vX08iMpI@QPT!`2}0g46D{VMF`XoUEqeYcd$c^TFLRosI{q
zdAZNC*#K(c&L{rX$1m8{hHq;+L`4lHEL<06%mq`O+czOk(GE5t3HrM&`|&gIu4y*u
zg-B9=QMHN>jT?KaqT0tN$xDby^tU2uLdokzGC%hAlX{!_H(pjHI+ux00&GJxFf=tm
zG%`U$Mm04tGeI{tHZeIyMn*U_FgQXoMnN_{AUrfMG&MmqGC@N|H8n9aK{qxwF*!y?
TMmRMvI6^W;K{mHIPy$W?1XyR>

diff --git a/pdf/Syllogism.pdf b/pdf/Syllogism.pdf
index 6017689f66351336af117f72b84b4daf20ddc296..6f6b11dcca4f18b62041da4502c4564251dcaae9 100644
GIT binary patch
delta 107
zcmZ4Wfo0VPmWC~iC-hk@3=E9Sr=Qhll!Gw0f6!-CWp_4pH8ylJG<7mGbTe|Xv~+fM
cbul(HH@CDfG6u374eS(b2q~E!Va|970C<xefB*mh

delta 107
zcmZ4Wfo0VPmWC~iC-hm(jSY+}rk~Ykl!Gw0f6!-CWp{SAG&XQFv9xe8H#aeIaW*$G
dbTKzGce8XdHL^6ZG_|l(upy*mdW1RSB>-~m983TJ

diff --git a/pdf/The_Pragmatic_Programmer_1999.pdf b/pdf/The_Pragmatic_Programmer_1999.pdf
index 21ef6afc156e68892c73206c1688597d1d16f462..25c6e650646d076acb2ab4c893bdf23d3c415a7f 100644
GIT binary patch
delta 110
zcmeypitG0(u7(!IEli7>SS<_;j7_GmXkwCsFt?v>V*1PPY++zzVQ%PRX>4Zh2BeLQ
fEe*{~%?wP8+)Q0ej7%-<6l@47+0H$gselOpG;1BC

delta 110
zcmeypitG0(u7(!IEli7>Sj~+Mj7_JnXkwCsFt?v>V*1PP>||i+V&Y_IZtP}ZY;I`c
gVrFD$=IY{R>1bf=YT<0@W~X37NXd5Y$xH=I08|kkd;kCd

diff --git a/pdf/The_binary_number_system.pdf b/pdf/The_binary_number_system.pdf
index 5eabdfde13b1d78ea86f67b8920bc4864d00c6c0..d1cc2188fe57b8a4c133c2f9d8b94e4a9e041ca7 100644
GIT binary patch
delta 134
zcmZ4Wn`6~)j)oS-ElhR#8WsiyCWhJuhUx|e>Y7~ozWFIGi6yBD8ZK5w21Z5(CPtP9
zU?tm^=`+RhI2*XQTADc;nK&Cenix5oxj4BR8=6}<nwS`wSeTnx7}+V<5K^+;&4ww3
F5dd`*Az%Oi

delta 134
zcmZ4Wn`6~)j)oS-ElhR#8s^3ZCPvx@hUx|e>Y7~ozWFIGi6yBD8ZK5w21Z6eIZFeu
zlI_d%nPPdI&D=~34IGV4EDa2e3|!4E9o>wKoK4&;-5f2Q-3$%Q>=bMWDcSC3!<51Z
E0CE-~d;kCd

diff --git a/pdf/Theorems_and_empty_sets.pdf b/pdf/Theorems_and_empty_sets.pdf
index 67233ec623a9827d689f5ccd2be1e5a8b1f1ee8f..c6fe9609ca2cdaf2b4517d293b30bd01d6796a4e 100644
GIT binary patch
delta 101
zcmex;j^+0`mWC~iS#nGk2Geuo7!`r^_I^3WlkCoBjwU7+rUr(FMlME1PG&AnF2<&=
aMrMWvu5Qkz=1#_T3O0n4OrNdB_y7RCof`N6

delta 101
zcmex;j^+0`mWC~iS#nI~#?y1;7!`r^_I^3WlkCpMrj9NKW+nz^md@su&Xz9DmZp}5
aMkW@n21W*Mu0|Gi3O0n4OrNdB_y7RHW*Yhc

diff --git a/pdf/Turing_machines.pdf b/pdf/Turing_machines.pdf
index 3bb68b8562c519feedaaa1f3ad67d47530f3cd97..83b64ff76a1e4602caa83dc3b423c37db62a5145 100644
GIT binary patch
delta 132
zcmaE`nC-!0wuUW?3)(d-3=B++v<(c^4Gh#Zx%7SWQ(O{DQWZ2@tc(ndjDT{M24E%I
zPqZ^$;c#{_b1}4ZHFh>PHMTG^F)}iCG_iEFv~YAbvT$+(^6V6B2r1cqe*z;TBLIyM
BBBuZV

delta 132
zcmaE`nC-!0wuUW?3)(fzjSWnUwG9l_4Gh#Zx%7SWQ(O{DQWZ2@tc(ndj0{YSEDgX)
zwx4Kcyu#t^W?<;*;^^#V;p}AMYG&c)>;%+qWZ>p%VPbA>;$~>4U_(gB_WKhU85seo
Cb|WhQ

diff --git a/pdf/User_management.pdf b/pdf/User_management.pdf
index acabab48ef6ac636302a6a9131d585fda4887a4c..9499c347f10d1f64cad4ccc030622751ba1cd45b 100644
GIT binary patch
delta 101
zcmeA>%+hz5rC|$WpCpro!So4|jEX>d`({bTLu}5jM#gSNE=ER9CPv0i&dyFoj>cvt
aPA(>HZU#;+rcRc23O0n4Oy8lvcntuRzZ(Jo

delta 101
zcmeA>%+hz5rC|$WpCpsH@$?CjjEX>d`({bTLu}4&CMHe>W^T?-&dvsgMh2!Xj+Vv-
Zj)smdmM#`R0cSe}8$wE^?@(a81^|!N8ngfa

diff --git a/pdf/Von_Neumann_architecture.pdf b/pdf/Von_Neumann_architecture.pdf
index 3ba07ec88820a25b1f3d4205c6f2b73feab4b9e6..a7ddc9833b40732da850dec6fba45c1aca96785e 100644
GIT binary patch
delta 106
zcmdmZfp6mlzJ?aY7N#xCE;E=c45quyU{(au+cRe{OY=D!S-P0H8d_L5x;a}Kni`v$
fn3x!wnYme*7`Qqb7+bp9DcBHFvi<ln<}5}4NL3s?

delta 106
zcmdmZfp6mlzJ?aY7N#xCE;E?Sji<ZKU{(au+cRe{OY=EfS~|O$8e14R8=9G#n3@|}
fIJvo*nL9bV8Ce>-IlH*oDcBHFvi<ln<}5}4SqvP{

diff --git a/pdf/Why_computers_use_binary.pdf b/pdf/Why_computers_use_binary.pdf
index 0e87d03fb07f21e950e68940f3346ddb01cd9faf..079a25f89aa63455cfab46098ccbb7bb98ba16b9 100644
GIT binary patch
delta 104
zcmZ4Vieu3$j)oS-Elk!LOcn;yZ8ew_f%NtS4W<}wXJa!9GjjtsXG<d|S65dHQ$sg5
dM+-|=3ujk1XG2p1M>_=@LQ1y(H)c|11OUT$8rA>+

delta 104
zcmZ4Vieu3$j)oS-Elk!LOy<VZZ8ew_f%NtS4W<}wXICdvXJbnXV@nfbV+#{E6IW*o
d15-0YGbbZMGgD&&Cp!fjLQ1y(H)c|11OTL*8QuT@