8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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kh
Pagd%yopdj |o|qdgzkoh cgdgekzkas
saaekhid{ ae|z{ ah~kpoheahzs
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
2/111
Ya gpa co~apkhi zmks `acgqsa
kz mgs |ossk`da ke|dkcgzkohs nop QS
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
3/111
Zmks |pasahzgzkoh ks g`oqz
Cdke`%ghj%coddg|sa oqzcoeas kh pagd%yopdj
|o|qdgzkoh s{szaes
\o|qdgzkoh cgdgekzkas kh saaekhid{ ~gsz
o|ah%s|gca ah~kpoheahzs
\o|qdgzkoh a}|doskohs zmgz khjqca cgdgekz{`{ zmakp sacpazkoh on ygszas
Q(H( |o|qdgzkoh |pobaczkohs zo zma ahj on
zmks cahzqp{
ghj
0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Cdke` ghj coddg|sa oqzcoeas pagdd{
mg||ah ghj ya gpa hoz keeqha
Coddg|sa poqzkhad{ occqps kh ah~kpoheahzs zmgz
~ksqgdd{ g||agp zo a gdeosz ahzkpad{ ae|z{
Coddg|sa ykzm ;;! eopzgdkz{ ks g `kodoikcgd pagdkz{
Ya gpa hoz keeqha zo coddg|sa$ ghj coe|gpaj zo
gh{ ozmap ghkegds op jkhondgiaddgzas zmgz mg~a
a~ap dk~aj$ ya gpa `amg~khi ~ap{ `gjd{
Zmpaa pagd%yopdj a}ge|das on cgdgekz{ kh zkh{
npgczkohs on 7! ~gsz o|ah%s|gca cohjkzkohs
\dqs $ zyo cdgsskcgd pagd%yopdj cdke`%ghj%coddg|sa
a}ge|das kh sa|gpgza egeegdkgh |o|qdgzkohs
Cdke`%ghj%coddg|saZmks |pasahzgzkoh ks gdso g`oqz
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
6/111
Oqp padagsa on ygszas$ ymkcm smoys gh khzapaszkhi
skekdgpkz{ ykzm |o|qdgzkoh a}|doskohs on paj%zkja
jkhondgiaddgzas
Jkhondgiaddgza paj%zkjas gs wqkhzassahzkgd
a}ge|das on |o|qdgzkoh a}|doskohs zmgz khjqcacgdgekz{ `{ zma padagsa on ygszas
Zma ngcz zmgz cgdgekzkas cgh gpksa
npoe ygszasghj jgegia
-gs o||osaj zo pqhhkhi%oqz%on zmkhis+
Zmks |pasahzgzkoh ks gdso g`oqz
Ya gpa co~apkhi zmks `acgqsa
kz mgs |ossk`da ke|dkcgzkohs nop QS
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
7/111
Oqp oyh zpgbaczop{ ymkcm eg{ yadd `a ngp yopsa
zmgh oqz`pagfs on jkhondgiaddgza paj%zkja `acgqsaya sq||daeahz oqp kodoikcgd ghj eazg`odkc
ygszas ykzm g jgkd{$ ghj ipoykhi yopdjykja oh%
sdgqimzs on khjqszpkgd ghj sockazgd ygszas
Ymkda oqz`pagfs on jkhondgiaddgza paj%zkja cgh `a
cgzaiopkraj gs docgdkraj a~ahzs$ oqp oyh s|ackasa}apzs ke|gczs zmgz gpa ido`gd kh hgzqpa
Coddg|sa poqzkhad{ occqps kh ah~kpoheahzs zmgz
~ksqgdd{%g||agp zo `a gdeosz ahzkpad{ ae|z{
Agpzms gzeos|mapa ghj sags gs ohkoh%sfkh%zmkhsqpngca nkdes
Zmks |pasahzgzkoh ks gdso g`oqz
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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saaekhid{ ae|z{ ah~kpoheahzs
kh
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zma joz kh zmks kegia ja|kczs oha on
hgzqpas wqkhzassahzkgd |o|qdgzkoh%
ah~kpoheahz cgdgekzkas2
Zma joz kh zmks kegia jahozas
0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zoo dgza
Nop zma opighkses occq|{khi
zma ymkza joz kh zmks cdgsskcgd
pagd%yopdj |o|qdgzkoh cgdgekz{$
Zma opighkses kh~od~aj
mg~a gdpagj{
ghj mg~a gdpagj{ |gssaj g
cpkzkcgd |o|qdgzkoh%ah~kpoheahz
zk||khi%|okhz
So zmgz zma ymkza joz smoyh mapa
ja|kczs pagd%yopdj cohjkzkohs
zmgz gpa ZOO DGZA
ygkzaj zoo dohi
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Nop zma pagd%yopdj opighksespa|pasahzaj `{ zma
0/7
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Kh zyo OZMAP cdgsskcgd szqjkas
zma opighkses kh~od~aj
mg~a gdso gdpagj{
ghj mg~a gdpagj{ |gssaj g
cpkzkcgd |o|qdgzkoh%ah~kpoheahzzk||khi%|okhz
so zmgz zma ymkza joz smoyh mapa
ja|kczs cohjkzkohs zmgz
gpa gdpagj{
ZOO DGZA
ygkzaj zoo dohi
Zma joz kh zmks kegia jahozas
0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Gdso ( CGQZKOH'(
Zma ymkza joz kh zmks kegia eg{
cmghia moy {oq saa zma yopdj
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
15/111
gpa coeeoh ahoqim zo `a
jkswqkazkhi ghj eg{
mg~a soeazmkhi zo zadd qs g`oqz
oqpsad~as
Kh hgzqpa$ |o|qdgzkoh cgdgekzkas kh
ah~kpoheahzs zmgz ~ksqgdd{
g||agp zo `a
GDEOSZ COE\DAZAD[ AE\Z[
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmks |pasahzgzkoh a}|dopaszmpaa z{|kcgd ghj cdgsskcgd
pagd%yopdj
|o|qdgzkoh cgdgekzkas
zmgz zpghs|kpajkh ah~kpoheahzgd sqppoqhjkhis
zmgz yapa gdeosz ahzkpad{ ae|z{
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmks |pasahzgzkoh ks g coqpzas{ on
Zma Yacsfgo| \pobacz
Ymgz A~ap{ Ckzkrah Smoqdj Fhoy
G`oqz Oqp \dghaz
Co|{pkimz 0
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmapa ks g ykjad{%madj eks|apca|zkoh ykzmkh eqcm on sockaz{ zmgzmqegh |o|qdgzkoh ipoyzm ghj o~ap|o|qdgzkoh cghhoz acoea
zpqd{ sapkoqs so dohi gs ~gsz geoqhzs on o|ah s|gca paegkh
Zma O|ah%S|gca Jadqskoh
Cgzgszpo|mkc |o|qdgzkoh oqzcoeas gz zkh{ npgczkohs on
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmasa saaekhid{ khhgza op
khzqkzk~a o|ah%s|gcasq||oskzkohs cgh `a
a}ca|zkohgdd{ jghiapoqs
`acgqsa zma{ zae|z qs khzo
coe|dgcahc{
Cgzgszpo|mkc |o|qdgzkoh oqzcoeas gz zkh{ npgczkohs onoha |apcahz zmpasmodjs % Zmpaa pagd%yopdj a}ge|das
Zmks |pasahzgzkoh ykdd khzpojqca zmpaa cdgsskcgd
ghj cgzgszpo|mkc pagd%yopdj |o|qdgzkoh oqzcoeasgz zkh{ npgczkohs on oha |apcahz zmpasmodjs
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmks |pasahzgzkoh gssassas zmasa
egzmaegzkcgdd{
o|ah%s|gca sq||oskzkohs
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Paj%zkja
Jkhondgiaddgzas
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Oha%caddaj opighkses
cgddaj jkhondgiaddgzas
cohszkzqza oha on
hgzqpas wqkhzassahzkgd
a}ge|das on
|o|qdgzkoh a}|doskohs zmgz
khjqca cgdgekz{ `{
zmakp |pojqczkoh
onygszas
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Nop a}ge|da$ g jkhondgiaddgza
paj%zkja gdohi zma cogsz on Za}gs
kh 7;;9%7;;= fkddaj gh
aszkegzaj 07 ekddkoh nksm
@qsmgy%Hayzoh$ F(D( ghj Saddhap$ F(I( 7;;;( Mgpenqd Gdigd @dooesKH2 HOGGs Szgza on zma Cogsz Pa|opz$ Skd~ap S|pkhi$ EJ(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Ozmap oqz`pagfs mg~a
pasqdzaj kh zma jagzms on gh
aszkegzaj 71< zohs on nksm gs
yadd gs eghgzaas ghj
ozmap egpkha opighkses
@qsmgy%Hayzoh$ F(D( ghj Saddhap$ F(I( 7;;;( Mgpenqd Gdigd @dooesKH2 HOGGs Szgza on zma Cogsz Pa|opz$ Skd~ap S|pkhi$ EJ(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Oha s|ackas on jkhondgiaddgza
fhoyh nop sqcm oqz`pagfs ks
Fgpahkg `pa~ks
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Fgpahkg `pa~ks eghgias zo
khndkcz sqcm |o|qdgzkoh jksgszaps
a~ah gs zmakp |o|qdgzkohs on
7$
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Hozkca zma ymkza jozkh zmks kegia
ymkcm ja|kczs kh g
egzmaegzkcgdd{%coppacz yg{
0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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SQ\\OPZKHI EGZMAEGZKCS
ks saz nopzm kh oqp g||ahjkcas
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Kh ozmap yopjs$ zma{ qhjapio
ghj khjqca
|o|qdgzkoh cgdgekzkas
kh ah~kpoheahzs zmgz
~ksqgdd{%g||agp zo a
gdeosz ahzkpad{ ae|z{
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Doof gigkh gz zma 0/7
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Kh ozmap yopjs$ zma{ qhjapio
ghj khjqca
|o|qdgzkoh cgdgekzkas
kh ah~kpoheahzs zmgz~ksqgdd{%g||agp zo a
gdeosz ahzkpad{ ae|z{
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmks saz on cohjkzkohs ks
yopzm hozkhi$ |apmg|s$
skhca oqp oyh s|ackas
g||agps zo a}mk`kz
gh a}zpgopjkhgpkd{skekdgp|gzzaph on `amg~kop
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Qhdkfa paj%zkja jkhondgiaddgzas$
moya~ap$ oqp oyh s|ackas
joas hoz cohnkha kzsadn
zo padagskhi
ohd{
kzs `kodoikcgd ghj
eazg`odkc ygszas khzo oqp
sqppoqhjkhis
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Khszagj$ ya
sq||daeahzoqp `kodoikcgd ygszas$
kh g yg{ zmgz ks
qh|pacajahzaj
kh zma mkszop{ on dkna oh agpzm$
ykzm `kddkohs on zohs on
sockazgd ghjkhjqszpkgd ygszas
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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so zmgz ya eg{ `a ae`gpfaj q|oh
g zpgbaczop{ zmgz ks hoz ohd{
yopsa
zmgh zmgz on
paj%zkja jkhondgiaddgzas
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Zmks$ on coqpsa$ ks hoz zo hacassgpkd{
sqiiasz g jkpacz g||dkcg`kdkz{ on
jkhondgiaddgza ke|gczs ghj
zpgbaczopkas zo mqeghkz{s oyh ido`gd
zpgbaczopkas ghj ke|gczs zojg{
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Moya~ap$ zma ngcz zmgz jkhondgiaddgza|o|qdgzkohs cgh khjqca cgdgekz{ -`{
zmakp |pojqczkoh on ygszas+ a~ah
ymah saaekhid{ ~gsz geoqhzs on
o|ah%s|gca g||agp zo paegkh
zmaopazkcgdd{%g~gkdg`da
yoqdj saae zo `a yopzm hozkhi
skhca oqp oyh s|ackas g||agps
zo a}mk`kz gh a}zpgopjkhgpkd{
skekdgp |gzzaph on `amg~kop(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Kz ks gdso yopzm hozkhi zmgz ymkda F(
`pa~ks cadds padagsa ohd{zmakp
`kodoikcgd$ caddqdgp$ ghj eazg`odkc
ygszaskhzo zmakp sqppoqhjkhis$
oqp oyh s|ackas sq||daeahzs kzs`kodoikcgd ygszas ykzm jgkd{ yopdj%
ykja ghj a~ap%khcpagskhi g~gdghcmas
on khjqszpkgd ghj sockazgd ygszas(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Ho ozmap ghkegds jo zmks$ ghj ho
ozmap ghkegds kh zma mkszop{ on zmaagpzm mg~a A^APjoha zmks6
so zmgz oqp oyh s|ackas eg{$
|apmg|s$ `a oh g zpgbaczop{ zmgz ks
hoz ohd{ yopsa zmgh zmgz on gh
oqz`pagf on paj%zkja jkhondgiaddgzas$
`qz eg{ `a eqdzk|da opjaps on
egihkzqja yopsa gz zmgz(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Gdso$ oqz`pagfs on paj%zkja$ ymkda
cgzgszpo|mkc$ gpa gz dagszpadgzk~ad{docgdkraj a~ahzs
Ymkda oqp oyh |o|qdgzkoha}|doskoh$ moya~ap$ ahcoe|gssas
zma ahzkpaz{ on agpzms `kos|mapa
gs jo zma ke|gczs zmgz ya khndkcz
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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@qz ya gpa segpzapzmgh g |o|qdgzkohon ekhjdass oha%caddaj
jkhondgiaddgzas
gpahz ya?
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Jkhondgiaddgzas$ oh zma
ozmap mghj$ mg~a hoz ja~ksaj
`qddjoraps$ cmgkh sgys$ ghjyg{s zo wqkcfd{ apgjkcgza ahzkpa
nopaszs$
dohi%dkhas$ pgjgp$ ghj I\S zo
cgzcm ahzkpa scmoods on nksm$
gqzoeo`kdas$ cogd ekhas$ ghj
|oyap |dghzs zo |qe| ipaah%
moqsa igsas khzo zma gzeos|mapa
hop yg{s zo |oddqza agpzms
ygzaps ghj jpgkh gwqknaps ghjapgjkcgza zma Gpgd Sag
o~ap zma ahzkpa yopdj gz ohca
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Ahj on |gpz oha
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Cdke`%ghj%coddg|sa
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Cdke`%ghj%coddg|sa
Scmannap$ (@($ 7;17( Zma pksa ghj ngdd on g pakhjaap
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Nkpsz$ hoza zmasa zyo cdgsskc Cdke`%ghj%coddg|sa
|o|qdgzkoh szqjkas on pakhjaap mapjs
Scmannap$ 7;17 Fdakh$ 7;>=
n n
mapj$ Sckahzknkc Eohzmd{ 93231>%3>0
Fdakh$ J(P($ 7;>=( Zma Khzpojqczkoh$ Khcpagsa$ ghj Cpgsm on Pakhjaap oh
Sz( Egzzmay Ksdghj( Boqphgd on Ykdjdkna Eghgiaeahz 302 319(
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Hozkca zmgz agcm pakhjaap mapj a}mk`kzaj g cdgsskc
|o|qdgzkoh cqp~aCdke`%ghj%coddg|sa
Scmannap$ 7;17 Fdakh$ 7;>=
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Nkpsz hoza zmgz agcm pakhjaap mapj a}mk`kzaj g
cdgsskc cdke`%ghj%coddg|sa |o|qdgzkoh cqp~a
Kh agcm cgsa$ gh khkzkgd |apkoj on a}|ohahzkgd
ipoyzm ygs noddoyaj `{ g (;;! jka%onn
Scmannap$ 7;17 Fdakh$ 7;>=
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Sacohjd{ ya hoza zmgz `ozm pakhjaap
|o|qdgzkohs |m{skcgdd{%occq|kaj
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Sacohjd{ ya hoza zmgz `ozm pakhjaap
|o|qdgzkohs |m{skcgdd{%occq|kaj
G`oqz 0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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So zmgz `ozm jka%onns@AIGH -ghj |pocaajaj+ kh
ah~kpoheahzs zmgz ~ksqgdd{ g||agpaj zo `a
G||po}kegzad{ ;;(;;=!
AE\Z[
gdeosz ahzkpad{ ae|z{
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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So zmgz `ozm jka%onns @AIGH -ghj |pocaajaj+ kh ah~kpoheahzs
zmgz ~ksqgdd{ g||agpaj zo `a gdeosz ahzkpad{ ae|z{
Sq||opzkhi egzmaegzkcs ks |oszaj kh
g||ahjkcas OHA GHJ ZYO
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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@kddkohs =$
;$ ghj 7< gpa
`gsaj oh
Q(H( eajkqe%
napzkdkz{
|pobaczkohs
zo 07
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
55/111
@kddkohs =$
;$ ghj 7< gpa
`gsaj oh
Q(H( eajkqe%
napzkdkz{
|pobaczkohszo 07
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Eopa jghiapoqs szkdd$ zma pagd%yopdj
hqe`aps zmgz gczqgdd{ aeapiacoqdj zqph oqz zo `a
zmgh zma eajkqe%
napzkdkz{ Q(H( aszkegzas
~ap{ eqcm dgpiap
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Kn yopdjykja napzkdkz{ da~ads
g~apgia bqsz
cmkdj |ap yoegh mkimap
zmgh zma Q(H(s eajkqe%
napzkdkz{ |pobaczkohs$
ya ykdd nkhj oqpsad~as
oh%zpgcf zoygpj
71(= `kddkoh`{ 07
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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A~ah eae`aps on g mkimd{%
khzaddkiahz s|ackas dk~khi kh sqcm
~gsz o|ah%s|gca cohjkzkohs
yoqdj nkhj kz jknnkcqdz -kn hoz
ke|ossk`da+ zo kegikha
zmgz |o|qdgzkoh jghiaps
coqdj `a keekhahz ymah so eqcm
sqppoqhjkhi o|ah%s|gca ks |pasahz
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Kh 7;77 kh zma ^( @( Scmannap szqj{$
01 pakhjaap yapa khzpojqcaj zo
:7 swqgpa ekda Sz( \gqd Ksdghj$ Gdgsfg
Scmannap$ 7;17
`{ 7;3=$ zmakp |o|qdgzkoh |agfaj
gz eopa zmgh 0
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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zmakp coe`khaj ojkas
|m{skcgdd{%occq|kaj g`oqz
0/7
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Scmannap$ 7;17
Scmannap$ ^(@($ 7;17( Zma pksa ghj ngdd on g pakhjaap
mapj$ Sckahzknkc Eohzmd{ 93231>%3>0
Ghj zmah zma{ qhjapyahz g
a~ah gs$ zgfah zoiazmap$ zmakp
coe`khaj ojkas |m{skcgdd{%
occq|kaj ohd{ g zkh{
on zmakp saaekhid{%g~gkdg`da
ah~kpoheahz
;;! jka%onn
npgczkoh on oha |apcahz
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Kh 7;::$ 0; pakhjaap yapa
khzpojqcaj zo 70= swqgpa ekda
Sz( Egzzmay Ksdghj$ Gdgsfg
Fdakh$ 7;>=
`{ 7;>3$ zmakp |o|qdgzkoh |agfaj
gz eopa zmgh >
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Fdakh$ 7;>=
Gz zmakp |agf|o|qdgzkoh on eopa zmgh
>
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Hozkca zmgz @OZMmapjs qhjapyahz g
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G`oqz 0/7
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Kh hgzqpa$ zmks pagdd{ joas mg||ah$ ghj
zmks |pasahzgzkoh smoys gczqgd a}ge|das
kh noqp ahzkpad{ khja|ahjahz sazzkhis
Zykca kh pakhjaap mapjs -egeegds+$
GHJ
Kh oqz`pagfs on paj%zkja kh qhkcaddqdgpegpkha opighkses$
GHJ
G||gpahzd{ zo zma agpd{ mqegh
khmg`kzghzs on Agszap Ksdghj
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B%cqp~as oh szapokjs?
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Eopa jghiapoqs szkdd$ zma pagd%yopdj
hqe`aps zmgz gczqgdd{ aeapia
coqdj zqph oqz zo `a
zmgh zmaeajkqe%napzkdkz{ Q(H(
aszkegzas smoyh mapa
~ap{ eqcm dgpiap
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Kn yopdjykja napzkdkz{ da~ads
zqph oqz zo `a bqsz
cmkdj |ap yoeghmkimap
zmgh zma Q(H(s
eajkqe%napzkdkz{ aszkegzas
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Skhca zmasa ipg|ms gpa
wqkhzassahzkgd
a}ge|das on B%cqp~as
-oha on zma eosz jghiapoqs z{|ason ipg|ms kh zma yopdj+
ghj skhca agpzms
|dghazgp{ cgpp{khi
cg|gckz{ nop g
eojaph khjqszpkgdkraj
mqeghkz{ ks oh
zma opjap on
zyo `kddkoh op dass
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B%cqp~as oh szapokjs
\apmg|s ya smoqdjdagph g doz eopa g`oqz zmasa
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Zmapa ks g ykjad{%madjeks|apca|zkoh ykzmkh oqp sockazkas zmgz
mqegh |o|qdgzkoh ipoyzm ghj o~ap|o|qdgzkoh cghhoz `a zpqd{sapkoqs so dohi gs ~gsz geoqhzs on o|ah s|gca paegkh
Fa{ Kjags so ngp
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Pagd%yopdj a}ge|das onCdke`%ghj%coddg|sakh |o|qdgzkoh s{szaes
Coddg|sa mgs zgfah |dgca kh ah~kpoheahzs zmgz saaeaj zo `a gdeosz
ahzkpad{ ae|z{ -(dass zmgh 0/7
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oha yoqdj mo|a zmgz ya gpa coddaczk~ad{segpzap zmgh
g ekhjdass |o|qdgzkoh on oha%caddaj jkhondgiaddgzas
Ik~ah zma cqppahz jaeoipg|mkc
cophap khzo ymkcm ya saae zo
mg~a |gkhzaj oqpsad~as
-ghj ykzm q| zo oqp 7
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Kh~ofkhi so`pkaz{$ moya~ap$
ya eg{ gczqgdd{ `a noddoykhi
g zpgbaczop{ zmgz ks
|po~ocgzk~ad{ skekdgp zo
zmgz on zma jkhondgiaddgzas
`acgqsa oqp oyh s|ackas$ dkfa zma paj%zkja jkhondgiaddgzas on egpkha
mg`kzgzs$ padagsas cmaekcgd ygszas ghj zo}khskhzo oqp sqppoqhjkhis
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Yopsa szkdd$ npoe gz dagsz oha |okhz on
~kay$ ya eg{ gczqgdd{ `a oh g
zpgbaczop{ zmgz ks cohskjapg`d{ yopsa
zmgh zmgz on zma jkhondgiaddgzas
ghj eqdzk|da opjaps on
egihkzqja yopsa gz zmgz
nop agcm jkhondgiaddgza cadd padagsasOHD[kzs
eazg`odkc ghj `kodoikcgd ygszas khzo kzs sqppoqhjkhis
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Kh oqp oyh cgsa$ moya~ap$ ya
padagsa hoz ohd{ oqp `kodoikcgd
ghj eazg`odkc ygszas
`qz gdso gh qh|pacajahzaj jgkd{
g~gdghcma onsockazgd ghj
khjqszpkgd ygszas zmgz gpa
ge|dknkaj `{ oqp
a~ap%ipoykhi hqe`aps
ghj khcpagskhi khjqszpkgdkrgzkoh
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A}ca|z$ on coqpsa$ oqp oyh s|ackas sq||daeahzskzs `kodoikcgd
ghj caddqdgp ygszas ykzm g jgkd{ yopdjykja g~gdghcma on khjqs%
zpkgd ghj sockazgd ygszas
-G `amg~kop zmgz ho ozmap ghkegds oh agpzm a}mk`kzghj mgsha~ap |pa~koqsd{ mg||ahaj kh zma ahzkpa mkszop{ on zma agpzm+
Ghj dgszd{$ ymkda jagjd{ oqz`pagfs on jkhondgiaddgza paj%zkja gpa
padgzk~ad{ docgdkraj a~ahzs$ ymkda oqp oyh |o|qdgzkoh oqz`pagf
ks g yopdjykja |mahoeahoh ghj yopdjykja kh kzs annaczs
:
1
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\gpz ZyoFa{ Kjags
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Ho Ozmap Ghkegds
Jo Zmks
8/9/2019 Population calamities in "vast open-space" conditions - (ppt) (Env mathematics 101)
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Ho ozmap ghkegds
jo zmks
Ah~kskoh gh khjk~kjqgd ghkegd on gh{
s|ackas ozmap zmgh oqp oyh
\mozos coqpzas{ on dkna(h`kk(io~a no} 5 Eosasso6 Ozmaps % Mapeghh
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Ah~kskoh gh khjk~kjqgd ghkegd on gh{
s|ackas ozmap zmgh oqp oyh
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Ho |o|qdgzkoh a}|doskohs on
paj%zkja jkhondgiaddgzas
-ymkcm |oksoh zmakp ah~kpoheahzs
`{ zma ygszas zmgz zma{ padagsa+
mg~aA^APsq||daeahzaj zmakp
caddqdgp ghj `kodoikcgd ygszas
ykzm g jgkd{ yopdjykja g~gdghcma
on khjqszpkgd ghj sockazgd ygszas
zma yg{ zmgz ya jo
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SMAAP \M[SKCGD JGEGIA
Ghj zmah zmapa gpa gdso zma ahopeoqs
gjjkzkohgd da~ads on apgjkcgzkoh$jaipgjgzkoh ghj
zmgz ya gpa khndkczkhi a~ap{ymapa adsa
q|oh zma OHD[ |dghazgp{ dkna%sq||opz egcmkhap{
so ngp fhoyh zo a}ksz gh{ymapa kh zma qhk~apsa
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Ho ozmap opighkses
kh zma mkszop{
on zma agpzm mg~a
A^APsq||daeahzaj
zmakp caddqdgp ghj
`kodoikcgd ygszas
zma yg{ zmgz ya jo
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Ghj zmasa `amg~kops gpaHOZ
g ekhkegd op khckjahzgd
noozhoza zo zma `kodoi{ on oqp s|ackas
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Khszagj$ zma{ gpa oha on oqp eosz jkszkhczk~aghj gdd%ahcoe|gsskhi cmgpgczapkszkcs
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Sqeegpkas ghj
fa{ cohca|zs
Ya gpa jghiapoqsd{ eksdaj `{ oqp
|pa~gkdkhi o|ah%s|gca sq||oskzkohs
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nop kz ks g eks|apca|zkohzo
|pasqea zmgz mqegh |o|qdgzkoh
ipoyzm ghj o~ap|o|qdgzkoh
cghhoz `a zpqd{ sapkoqs so
dohi gs ~gsz geoqhzs on
o|ah s|gca paegkh
0/7
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Cdke` ghj coddg|sa oqzcoeas pagdd{
mg||ah ghj ya gpa hoz keeqha
Coddg|sa poqzkhad{ occqps kh ah~kpoheahzs zmgz
~ksqgdd{ g||agp zo a gdeosz ahzkpad{ ae|z{
Coddg|sa ykzm ;;! eopzgdkz{ ks g `kodoikcgd pagdkz{
Ya gpa hoz keeqha zo coddg|sa$ ghj coe|gpaj zo
gh{ ozmap ghkegds op jkhondgiaddgzas zmgz mg~a
a~ap dk~aj$ ya gpa `amg~khi ~ap{ `gjd{
Zmpaa pagd%yopdj a}ge|das on cgdgekz{ kh zkh{npgczkohs on 7! ~gsz o|ah%s|gca cohjkzkohs
\dqs $ zyo cdgsskcgd pagd%yopdj cdke`%ghj%coddg|sa
a}ge|das kh sa|gpgza egeegdkgh |o|qdgzkohs
Cdke`%ghj%coddg|saZmks |pasahzgzkoh mgs
gdso `aah g`oqz
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Oqp padagsa on ygszas$ ymkcm smoys gh khzapaszkhiskekdgpkz{ ykzm |o|qdgzkoh a}|doskohs on paj%zkja
jkhondgiaddgzas
Jkhondgiaddgza paj%zkjas gs wqkhzassahzkgd
a}ge|das on |o|qdgzkoh a}|doskohs zmgz khjqca
cgdgekz{ `{ zma padagsa on ygszas
Zma ngcz zmgz cgdgekzkas cgh gpksa
npoe ygszasghj jgegia
-gs o||osaj zo pqhhkhi%oqz%on zmkhis+
Zmks |pasahzgzkoh mgs gdso gjjpassaj
Zmks |pasahzgzkoh mgs gdso gjjpassaj
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Oqp oyh zpgbaczop{ ymkcm eg{ yadd `a ngp yopsa
zmgh oqz`pagfs on jkhondgiaddgza paj%zkja `acgqsa
ya sq||daeahz oqp kodoikcgd ghj eazg`odkcygszas ykzm g jgkd{$ ghj ipoykhi yopdjykja oh%
sdgqimzs on khjqszpkgd ghj sockazgd ygszas
Ymkda oqz`pagfs on jkhondgiaddgza paj%zkja cgh `a
cgzaiopkraj gs docgdkraj a~ahzs$ oqp oyh s|ackas
a}apzs ke|gczs zmgz gpa ido`gd kh hgzqpa
Coddg|sa poqzkhad{ occqps kh ah~kpoheahzs zmgz
~ksqgdd{%g||agp zo `a gdeosz ahzkpad{ ae|z{
Agpzms gzeos|mapa ghj sags gs ohkoh%sfkh%zmkh
sqpngca nkdes
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sqcm gs pqhhkhi%oqz%on s|gca$ nooj$
okd$ pasoqpcas$ op gh{zmkhi adsa
Kh gjjkzkoh$ zma pqhhkhi%oqz%on sq||oskzkohs
zmgz mg~a io~aphaj oqp zmkhfkhi
nop egh{ {agps
eg{ hoz `a zma nkpsz op ohd{ ngczops
zmgz zmpagzah qs
ghj sqcm sq||oskzkohs eg{ dagj qs
zo gh khcoe|daza ghj khgccqpgzagssasseahz on oqp cqppahz cohjkzkoh
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Nkhgdd{$ ya gpa zma ohd{ ghkegds zmgz
jo zmks$ op zmgz mg~a a~ap joha zmks
ghj ya gpa jokhi so oh g yopdjykja
scgda so zmgz ya gpa hoz g docgdkraj
|mahoeahoh
ghj oqp `amg~kops kh zmks pas|aczs gpa hoz g ekhkegd
op khckjahzgd noozhoza zo zma `kodoi{ on oqp s|ackas
`qz gpa khszagj oha on oqp eosz jkszkhiqksmkhi
ghj gdd%ahcoe|gsskhi cmgpgczapkszkcs
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Dgszd{$ `qz hoz dagsz$zmapa gpa zmasa
zyo ipg|ms
on oqp jaeoipg|mkcs
ymkcm gpa ~ap{
eqcm dkfa
B%cqp~as oh szapokjs
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Nkpsz$nk~a gjjkzkohgd `kddkohs
kh dass zmgh oha mqegh
dknazkea skhca 7;3=+( Oqp aszkegza zmgz
zma pakhjaap on Sz( Egzzmay Ksdghj |m{skcgdd{%occq%|kaj g||po}kegzad{ 0/71 ce+ op g||po}kegzad{ 70$31< ce0 agcm
Ik~ah g |agf pakhjaap |o|qdgzkoh on Sz( Egzzmay ksd%ghj -7;>3+ on sdkimzd{ eopa zmgh >
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Ya gssass Agszap Ksdghjs mkszopkc cdke`%ghj%coddg|sa mqegh |o|qdgzkoh jgzg gs oqzdkhaj kh Bgpaj
Jkgeohjs `oof$ Coddg|saMoy Sockazkas Cmoosa zo Ngkd op Sqccaaj - kfkhi$ 0 swqgpa ekdas+ op g`oqz 79
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eosz on kzs sag`kpjs$ janopasz kzs sqppoqhjkhis$ ghj
o~apa}|dokz kzs pasoqpcas(
Oqp oyh hqe`aps$ moya~ap$ gpa `ozm ngp ipagzap$ ghj
oqp khjk~kjqgd mgpenqd ke|gczs eg{ mg~a 1< op 7
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Zmks |pasahzgzkoh ks g coqpzas{ on
Zma Yacsfgo| \pobacz
Ymgz A~ap{ Ckzkrah Smoqdj Fhoy
G`oqz Oqp \dghaz
Co|{pkimz 0