Engineering Humor

[chazmo]

I hate to admit it, but I’ve looked at this a bunch of times and still don’t get it. Someone, please?

 

[Uke]

I hate to admit it, but I’ve looked at this a bunch of times and still don’t get it. Someone, please?

"Holes occur when the numerator and denominator of a rational function have a common factor that cancels out during simplification." I hate to say it, but AI can be quite useful. Holes: also known as "a math thing."

 

[Cougar]

I hate to admit it, but I’ve looked at this a bunch of times and still don’t get it. Someone, please?

I guess it's a common calculus word problem involving the rate of change of the volume of water in the tank, which decreases with the flow rate out of the hole.

 

[chazmo]

Thanks, gang.

 

[davidbeinct]

I guess it's a common calculus word problem involving the rate of change of the volume of water in the tank, which decreases with the flow rate out of the hole.

Yes this. The pressure at the bottom correlates with the flow out of the hole. As the water level drops due to the water flowing out the hole, the pressure drops, causing the flow of water to slow, leading to the rate of change of water pressure changing.

 

[JohnW63]

I don't remember holes in bases, when I took calculus.

 

[davidbeinct]

I don't remember holes in bases, when I took calculus.

I definitely had that exact word problem. I think it was actually the first thing we did in Differential Equations.

 

[Nuuska]

OK - now I've learned about calculus and Ms Lenhart - move on . . .

 

[GGJaguar]

 

[GGJaguar]

 

[Cougar]

I don't remember holes in bases, when I took calculus.

I don't remember a lot when I took calculus, and I was a math major! I did excel, however, in abstract algebra. As ChatGPT summarizes:

A course on abstract algebra typically covers fundamental concepts related to algebraic structures. The key topics often include:

1. Groups:
   • Definition and Examples: Understanding what a group is and exploring examples like integers under addition, non-zero real numbers under multiplication, and symmetry groups.
   • Subgroups: Criteria for a subset to be a subgroup.
   • Cyclic Groups: Groups generated by a single element.
   • Group Homomorphisms: Structure-preserving maps between groups.
   • Normal Subgroups and Quotient Groups: Understanding how to form new groups from existing ones.
   • Group Actions: How groups act on sets, which can help in studying symmetries.
   • Sylow Theorems: Results concerning the number of subgroups of a given order.
   • Classification of Finite Groups: Basics of how finite groups are classified.
2. Rings:
   • Definition and Examples: Introduction to rings, such as integers, polynomial rings, and matrix rings.
   • Ring Homomorphisms: Maps between rings that preserve structure.
   • Ideals and Quotient Rings: Analogous to subgroups and quotient groups in the context of rings.
   • Integral Domains and Fields: Special kinds of rings where the multiplication operation has no divisors of zero and where every non-zero element has a multiplicative inverse.
   • Factorization: Understanding prime elements, irreducibles, and unique factorization in rings.
3. Fields:
   • Definition and Examples: Basic properties of fields like the field of rational numbers, real numbers, complex numbers, and finite fields.
   • Field Extensions: Building larger fields from smaller ones and understanding their structure.
   • Galois Theory (Advanced): Linking field theory with group theory to solve classical problems like solvability of polynomials.
4. Modules (sometimes covered):
   • Generalization of Vector Spaces: Modules over rings, which extend the concept of vector spaces.
   • Module Homomorphisms: Maps between modules that preserve structure.
   • Exact Sequences: Short and long exact sequences in module theory, which play a role similar to chain complexes in topology.
5. Additional Topics:
   • Algebraic Geometry (Introductory): Relation between algebra and geometry through the study of polynomial equations.
   • Representation Theory (Advanced): Studying groups by representing their elements as matrices and analyzing the resulting structures.

 

[GAD]

Witches stairs!

 

[Teleguy61]

Witches stairs!

And which is not?

 

[JohnW63]

Nope. Fun for cats stairs.

Or more boringly, steps to be taken one leg per step ONLY.

 

[Bill Ashton]

I wonder if those stairs would be good for a newbe-hip-replacement recipient...or if it would just mess them up!

Pretty long stairway. Going up was not the problem for me, it was the coming down...

 

[davismanLV]

They're actually not that hard or different than ordinary stairs. Just keep the feet apart and hold the handrail. And both my hips are replaced. We can DO THIS!!!

And as GAD says, they're WITCH'S STAIRS!!

 

[Nuuska]

For those who prefer manual gearbox . . .

 

[Bill Ashton]

You left out Skoda!

 

[GGJaguar]

 

[GAD]

That is some impressive tile work.