👂🎴 🕸️
What
problem
is
worth
time
of
Your
life
?<
br
>
A
problem
P
can
be
defined
as
a
situation
or
scenario
where
a
particular
system
''
device
''
or
process
is
not
performing
as
desired
''
leading
to
suboptimal
or
undesired
outcomes
.
In
a
design
&
engineering
context
''
P
is
typically
framed
in
terms
of
:<
p
class
=
fragment
>
Vector
of
Parameters
:
This
is
a
set
of
variables
or
conditions
that
characterize
the
system
or
scenario
.
They
can
be
input
conditions
''
system
states
''
or
any
other
relevant
metrics
that
describe
the
system
p
><
p
class
=
fragment
>
Objective
Function
:
This
is
a
mathematical
function
that
quantifies
how
far
the
current
system
'
s
performance
is
from
the
desired
performance
.
The
goal
is
usually
to
minimize
or
maximize
this
function
p
><
p
class
=
fragment
>
Constraints
:
These
are
the
bounds
or
limitations
within
which
the
system
operates
.
In
engineering
problems
''
constraints
can
arise
from
physical
limitations
''
safety
requirements
''
budgetary
restrictions
''
etc
.
The
solution
must
satisfy
these
constraints
.
p
>
Divide
in
couples
and
discuss
with
Your
colleagues
cases
when
You
use
the
word
problem
in
daily
life
.
Pose
Yourself
questions
like
What
was
the
last
problem
I
solved
?
''
What
was
the
last
problem
I
didn
'
t
manage
to
solve
?
etc
.
The
Hilbert
Problems
are
a
set
of
23
mathematical
challenges
presented
by
the
German
mathematician
David
Hilbert
in
1900
.
Aimed
at
defining
future
research
directions
''
these
problems
span
various
areas
of
mathematics
.
While
some
were
clearly
stated
''
others
were
more
open
-
ended
.
Over
the
decades
''
a
majority
of
these
problems
have
been
resolved
''
significantly
advancing
mathematical
knowledge
.
Some
led
to
the
establishment
of
entire
new
fields
of
study
.
Unresolved
-
as
of
AE53
-
Hilbert
problems
:<
p
class
=
fragment
>
Mathematical
Treatment
of
the
Axioms
of
Physics
p
><
p
class
=
fragment
>
Rigorous
Foundation
of
Schubert
'
s
Enumerative
Calculus
p
><
p
class
=
fragment
>
Topology
of
Algebraic
Curves
and
Surfaces
p
><
p
class
=
fragment
>
Analysis
of
Solutions
of
Variational
Problems
p
>
From
Middle
English
probleme
''
from
Middle
French
probleme
''
from
Latin
problema
''
from
Ancient
Greek
πρόβλημα
(
próblēma
''
anything
thrown
forward
''
hindrance
''
obstacle
''
anything
projecting
''
a
headland
''
promontory
”)''
from
προβάλλω
(
probállō
''
to
throw
or
lay
something
in
front
of
someone
''
to
put
forward
”)''
from
προ
-
(
pro
-''
in
front
of
”)
+
βάλλω
(
bállō
''
to
throw
''
to
cast
''
to
hurl
”).<
br
/><
br
/>[
note
the
etymologic
similarity
to
word
project
from
Latin
projectum
something
prominent
’''
neuter
past
participle
of
proicere
throw
forth
’''
from
pro
-
forth
+
jacere
to
throw
’)]
The
Millennium
Problems
are
seven
mathematical
challenges
established
by
the
Clay
Mathematics
Institute
in
2000
''
each
with
a
prize
of
one
million
dollars
for
a
correct
solution
.
These
problems
represent
some
of
the
most
persistent
and
critical
unsolved
issues
in
mathematics
''
spanning
areas
such
as
number
theory
''
geometry
''
analysis
''
and
fluid
dynamics
.
Only
one
of
the
problems
''
the
Poincaré
Conjecture
''
has
been
solved
so
far
.
Unresolved
-
as
of
AE53
-
ones
are
:<
p
class
=
fragment
>
Birch
and
Swinnerton
-
Dyer
Conjecture
p
><
p
class
=
fragment
>
Hodge
Conjecture
p
><
p
class
=
fragment
>
Navier
Stokes
Existence
and
Smoothness
p
><
p
class
=
fragment
>
P
vs
NP
Problem
p
><
p
class
=
fragment
>
Riemann
Hypothesis
p
><
p
class
=
fragment
>
Yang
Mills
Existence
and
Mass
Gap
p
>
<
p
class
=
fragment
>
No
Definitive
Formulation
p
><
p
class
=
fragment
>
No
Stopping
Rule
p
><
p
class
=
fragment
>
Solutions
Are
Not
True
-
or
-
False
p
><
p
class
=
fragment
>
No
Immediate
and
No
Ultimate
Test
p
><
p
class
=
fragment
>
Every
Solution
is
a
'
One
-
Shot
Operation
'
p
><
p
class
=
fragment
>
No
Enumerable
(
or
Exhaustively
Describable
)
Set
of
Potential
Solutions
p
><
p
class
=
fragment
>
Every
Wicked
Problem
is
Essentially
Unique
p
><
p
class
=
fragment
>
Every
Wicked
Problem
Can
Be
Considered
to
Be
a
Symptom
of
Another
Problem
p
><
p
class
=
fragment
>
The
Existence
of
a
Discrepancy
Representing
a
Wicked
Problem
Can
Be
Explained
in
Numerous
Ways
p
><
p
class
=
fragment
>
The
Planner
Has
No
Right
to
Be
Wrong
p
>
This
is
the
set
of
problem
(
s
)
to
which
I
expose
all
my
D
&
C
students
since
AE50
.<
div
><
br
>
div
><
div
>
Hopefully
''
at
least
1
will
be
solved
during
my
lifetime
''
2
during
Your
lifetime
and
3
during
lifetime
of
my
children
.
div
>
<
p
class
=
fragment
>
Radioactive
waste
disposal
p
><
p
class
=
fragment
>
Liberation
from
fossil
fuel
dependency
p
><
p
class
=
fragment
>
Language
extinction
p
><
p
class
=
fragment
>
Weltverständlichmachung
p
><
p
class
=
fragment
>
Unf
*
cking
the
Wohnungsmarkt
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>...
p
><
p
class
=
fragment
>
The
Clock
Reform
p
>
 
Unsolved
problems
are
problems
for
which
we
neither
have
a
solution
''
nor
know
whether
such
solution
can
be
found
.
<
br
>
Used
as
a
general
rule
in
chemistry
;
the
old
alchemical
principle
<
strong
>
similia
similibus
dissolvuntur
strong
>
meaning
like
dissolves
like
refers
to
the
ability
of
polar
or
non
polar
solvents
to
dissolve
polar
or
non
polar
solutes
respectively
.
In
engineering
''
the
solution
S
is
that
vector
of
P
which
minimizes
(
resp
.
maximizes
)
the
value
of
objective
function
F
.
The
word
solution
has
its
roots
in
Latin
''
deriving
from
the
word
solutio
.”
The
etymology
can
be
broken
down
as
follows
:<
ul
style
=
border
:
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solid
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--
tw
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;
--
tw
-
border
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spacing
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:
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;
--
tw
-
translate
-
x
:
0
;
--
tw
-
translate
-
y
:
0
;
--
tw
-
rotate
:
0
;
--
tw
-
skew
-
x
:
0
;
--
tw
-
skew
-
y
:
0
;
--
tw
-
scale
-
x
:
1
;
--
tw
-
scale
-
y
:
1
;
--
tw
-
scroll
-
snap
-
strictness
:
proximity
;
--
tw
-
ring
-
offset
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width
:
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;
--
tw
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ring
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offset
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color
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;
--
tw
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ring
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color
:
rgba
(
69
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);
--
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ring
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offset
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:
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transparent
;
--
tw
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ring
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shadow
:
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transparent
;
--
tw
-
shadow
:
0
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transparent
;
--
tw
-
shadow
-
colored
:
0
0
transparent
;
list
-
style
:
disc
;
margin
-
top
:
1
.
25em
;
margin
-
bottom
:
1
.
25em
;
padding
:
0px
;
display
:
flex
;
flex
-
direction
:
column
;
color
:
#
374151
;
font
-
family
:
Söhne
''
ui
-
sans
-
serif
''
system
-
ui
''
-
apple
-
system
,;
><
li
style
=
border
:
0px
solid
#
d9d9e3
;
--
tw
-
border
-
spacing
-
x
:
0
;
--
tw
-
border
-
spacing
-
y
:
0
;
--
tw
-
translate
-
x
:
0
;
--
tw
-
translate
-
y
:
0
;
--
tw
-
rotate
:
0
;
--
tw
-
skew
-
x
:
0
;
--
tw
-
skew
-
y
:
0
;
--
tw
-
scale
-
x
:
1
;
--
tw
-
scale
-
y
:
1
;
--
tw
-
scroll
-
snap
-
strictness
:
proximity
;
--
tw
-
ring
-
offset
-
width
:
0px
;
--
tw
-
ring
-
offset
-
color
:
#
fff
;
--
tw
-
ring
-
color
:
rgba
(
69
''
89
''
164
,.
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);
--
tw
-
ring
-
offset
-
shadow
:
0
0
transparent
;
--
tw
-
ring
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
-
colored
:
0
0
transparent
;
margin
:
0px
;
padding
-
left
:
0
.
375em
;
display
:
block
;
min
-
height
:
28px
;
><
span
style
=
border
:
0px
solid
#
d9d9e3
;
--
tw
-
border
-
spacing
-
x
:
0
;
--
tw
-
border
-
spacing
-
y
:
0
;
--
tw
-
translate
-
x
:
0
;
--
tw
-
translate
-
y
:
0
;
--
tw
-
rotate
:
0
;
--
tw
-
skew
-
x
:
0
;
--
tw
-
skew
-
y
:
0
;
--
tw
-
scale
-
x
:
1
;
--
tw
-
scale
-
y
:
1
;
--
tw
-
scroll
-
snap
-
strictness
:
proximity
;
--
tw
-
ring
-
offset
-
width
:
0px
;
--
tw
-
ring
-
offset
-
color
:
#
fff
;
--
tw
-
ring
-
color
:
rgba
(
69
''
89
''
164
,.
5
);
--
tw
-
ring
-
offset
-
shadow
:
0
0
transparent
;
--
tw
-
ring
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
-
colored
:
0
0
transparent
;
font
-
weight
:
600
;
color
:
var
(--
tw
-
prose
-
bold
);
margin
-
top
:
1
.
25em
;
margin
-
bottom
:
1
.
25em
;
>
Latin
solutio
span
>:
Meaning
a
loosening
or
unbinding
.
This
comes
from
the
verb
solvere
,”
which
means
to
loosen
''
untie
''
or
dissolve
.
li
><
li
style
=
border
:
0px
solid
#
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;
--
tw
-
border
-
spacing
-
x
:
0
;
--
tw
-
border
-
spacing
-
y
:
0
;
--
tw
-
translate
-
x
:
0
;
--
tw
-
translate
-
y
:
0
;
--
tw
-
rotate
:
0
;
--
tw
-
skew
-
x
:
0
;
--
tw
-
skew
-
y
:
0
;
--
tw
-
scale
-
x
:
1
;
--
tw
-
scale
-
y
:
1
;
--
tw
-
scroll
-
snap
-
strictness
:
proximity
;
--
tw
-
ring
-
offset
-
width
:
0px
;
--
tw
-
ring
-
offset
-
color
:
#
fff
;
--
tw
-
ring
-
color
:
rgba
(
69
''
89
''
164
,.
5
);
--
tw
-
ring
-
offset
-
shadow
:
0
0
transparent
;
--
tw
-
ring
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
-
colored
:
0
0
transparent
;
margin
:
0px
;
padding
-
left
:
0
.
375em
;
display
:
block
;
min
-
height
:
28px
;
><
span
style
=
border
:
0px
solid
#
d9d9e3
;
--
tw
-
border
-
spacing
-
x
:
0
;
--
tw
-
border
-
spacing
-
y
:
0
;
--
tw
-
translate
-
x
:
0
;
--
tw
-
translate
-
y
:
0
;
--
tw
-
rotate
:
0
;
--
tw
-
skew
-
x
:
0
;
--
tw
-
skew
-
y
:
0
;
--
tw
-
scale
-
x
:
1
;
--
tw
-
scale
-
y
:
1
;
--
tw
-
scroll
-
snap
-
strictness
:
proximity
;
--
tw
-
ring
-
offset
-
width
:
0px
;
--
tw
-
ring
-
offset
-
color
:
#
fff
;
--
tw
-
ring
-
color
:
rgba
(
69
''
89
''
164
,.
5
);
--
tw
-
ring
-
offset
-
shadow
:
0
0
transparent
;
--
tw
-
ring
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
:
0
0
transparent
;
--
tw
-
shadow
-
colored
:
0
0
transparent
;
font
-
weight
:
600
;
color
:
var
(--
tw
-
prose
-
bold
);
margin
-
top
:
1
.
25em
;
margin
-
bottom
:
1
.
25em
;
>
Latin
solvēre
span
>:
This
is
a
compound
of
sol
-,”
a
variant
of
se
-”
(
apart
)''
and
luere
(
to
wash
or
to
loosen
).
li
>
ul
>
Over
time
''
the
meaning
of
solution
has
evolved
and
broadened
.
In
English
''
it
has
been
used
since
the
14th
century
to
refer
not
just
to
the
act
of
dissolving
a
substance
in
a
liquid
''
but
also
to
the
means
of
solving
a
problem
or
answering
a
question
.
The
sense
of
finding
an
answer
or
explanation
encapsulates
the
idea
of
resolving
a
complex
situation
''
untangling
its
components
to
reach
a
clear
understanding
or
resolutionIn
summary
''
the
etymology
of
solution
reflects
a
journey
from
the
physical
act
of
loosening
or
dissolving
''
through
to
the
more
abstract
notion
of
resolving
problems
and
finding
answers
.
In
multi
-
objective
optimization
''
optimize
for
two
or
more
objectives
in
the
same
time
.
[Impressum, Datenschutz, Login] Other subprojects of wizzion.com linkring: baumhaus.digital kyberia.de giver.eu fibel.digital gardens.digital puerto.life refused.science teacher.solar naadam.info udk.ai