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In whole, you may use me in the measuring.

With my $1^{st}$ & $2^{nd}$ part, you may use me in the coloring.

With my $2^{nd}$ & $3^{rd}$ part, you may use me in the casting.

With my $3^{rd}$ & $4^{th}$ part, you may use me in the integrating.

With my $4^{th}$ & $5^{th}$ part, you may use me in the displaying.

With my $5^{th}$ & $6^{th}$ part, you may use me in the lighting.

Who/What am I?

Hint 1:

For functions in each clause:

measuring -> for the projection
coloring -> for the decoration
casting -> for the hardness
integrating -> for the conduction
displaying -> for the monitor
lighting -> for the attraction

Hint 2:

Add Knowledge tag

Hint 3:

All the parts mentioned in clauses has the same length

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  • 1
    $\begingroup$ lightening or lighting? $\endgroup$ – user57528 Oct 3 at 10:35
  • $\begingroup$ @none Hmm, I think both are OK, just less meaning difference :) $\endgroup$ – Conifers Oct 3 at 10:44
  • $\begingroup$ Hmm, think a bit, I changed to the "lighting" to avoid interpreted as "lose weight". $\endgroup$ – Conifers Oct 3 at 10:52
  • 4
    $\begingroup$ you're such an inspiring user! $\endgroup$ – Omega Krypton Oct 3 at 12:20
  • $\begingroup$ It's my pleasure :D $\endgroup$ – Conifers Oct 3 at 13:03
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I'm almost certain the answer is

cosine

In whole, you may use me in the measuring.

If $\theta$ is the angle measured counterclockwise from the $x$-axis along the arc of the unit circle then $\cos \theta$ is the horizontal coordinate of the arc endpoint, i.e, the length of the projection of the radius onto the horizontal axis.

With my 1st & 2nd part, you may use me in the coloring.

Co - the chemical symbol for cobalt, which is used in pigments such as cobalt blue, cerulean clue and cobalt green.

With my 2nd & 3rd part, you may use me in the casting.

Os - the chemical symbol for Osmium. Manufacturers use its alloys with platinum, iridium, and other platinum-group metals in applications that require extreme durability and hardness.

With my 3rd & 4th part, you may use me in the integrating.

Si - the chemical symbol for Silicon, which is used heavily in integrated electric circuits.

With my 4th & 5th part, you may use me in the displaying.

In - the checmical symbol for Indium. The primary consumption of indium worldwide is LCD production.

With my 5th & 6th part, you may use me in the lighting.

Ne - the chemical symbol for Neon, which is often used in signs and produces an unmistakable bright reddish-orange light.

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  • $\begingroup$ You are a step closer to the chemists :P $\endgroup$ – Conifers Oct 19 at 0:19

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