#discrete math

[hashed-potatoes-with-salt]

What would happen if someone staying at the infinite hotel died. is there briefly a vacancy? Eventually someone’s gonna come along and say “Hey I just got off a bus of infinite people so you need to move to room 2n” and discover a dead body. These are questions that need answering

[chatdomestique]

Students complaining about basic algebra: “Whose idea was it to put the alphabet in math??”

Everyone in discrete mathematics:

[thearoacescout]

I'm at a pride event and what do my friend and I do? We do math problems on rainbow paper because we're gay nerds

[boycritter]

[ox-sauna]

trying to learn discrete math again means it gets it's own note book with it's own animal head

[moastudiess]

03.29.24~ Some unholy lvl modulo operations in an RSA decripting process, I rly think they need to start upping their game on these hw problems. The exam was ATLA themed but a JJK theme 🫶

A good linear one could be:

*Sukuna killed approximately 287^5 individuals in Harajuku last Thursday please calculate the volume of his domain in millimeters cubed if the radius spanned a vector that could be written as (1,8,9)*

Bonus: *what’s the population density of this region?*

[elation0]

A112798: Table where n-th row is factorization of n, with each prime p_i replaced by i. vs A122111: Self-inverse permutation of the positive integers induced by partition enumeration in A112798 and partition conjugation.

[luicosas]

hello peoples, I present math / theoretical cs problem,

what is the maximum length binary string such that each string of length k is unique?

the inspiration is that I wanted to make like a precise track thingy that can move around and I was thinking how to determine the position,

like if the above is v big and generatable I can engrave that on the track and use a camera to look down and calculate the position

I have an upper bound for the length 2^k + k - 1 cause there's only so many patterns but other than that idk

[frog707]

(from June 2023)

Note: In runtime formulas, computer scientists don't ignore the constant term because it "doesn't have a big effect". They ignore it because they're trying to establish an upper bound for problems of every size. (This is a common misconception about the big-O notation used in computer science.)

[kimblestudies]

would anyone be interested in an upper level mathematics discord? I know there's math and hw servers out there but I was thinking it may be nice to help each other with let's say everything past precal ?

[unsheathedpepsipop]

My first thought when seeing this was about when we went from Natural numbers to Relative numbers in Discrete Math.

[sodakaidotcom]

Discrete Math Definitions

[russianhometutors]

Teaching Astronomy Through Geometry - How It Helps?

Astronomy and geometry may seem to be two distinct disciplines, but they share a deep connection going back to the ancient times. Teaching Astronomy Through Geometry not only helps in increasing understanding but also brings to life the intricate dance of celestial bodies in the universe. This way of exploring the cosmos is really engaging while developing the essential mathematical skills.

The Interplay Between Astronomy and Geometry

Geometry, the science of shapes, sizes, and spaces, underlies the understanding of any astronomical concepts. It was used by the ancient astronomers - Ptolemy and Copernicus - for mapping the heavens and for explaining the motion of the planets and stars. Thus, the student, using these geometric concepts, is able to visualize the space relationships of celestial objects in a better way to gain comprehensive knowledge of astronomical phenomena.

For example, draw the phases of the Moon. Using elementary geometric shapes, such as circles and spheres, students can understand how the Moon's position relative to the Earth and Sun causes its phases. In this manner, abstract concepts may become more accessible and believable to learn.

Using Geometry to Teach Astronomy

Orbits and Ellipses: Kepler's laws of planetary motion are used to describe the orbits planets make around the sun in elliptical paths. The drawing and interpretation of ellipses will teach students about distance variations between celestial bodies and the Sun, reinforcing their knowledge in geometry concerning conic sections.

Angular Measurements: To understand the size and distance of heavenly objects often requires angular measurements. As a branch of mathematics, geometry allows students to calculate angles, which plays a necessary role in calculating the apparent size of the Moon or the Sun from Earth. It applies to practical situations like navigation and positioning satellites.

Triangulation: This geometric technique is applied in the determination of distances of distant stars and planets. Students form triangles between known points to compute unknown distances-a technique that astronomers have used for thousands of years.

Coordinate Systems: The celestial sphere has coordinate systems comparable to latitude and longitude on the Earth. Star and planet positioning on the celestial sphere gives pupils practice with their geometric grid skills and experience with coordinate transformation.

Correct Solutions Aid For Discrete Math

Discrete math is another area of mathematics that really benefits from the logical thinking developed through geometry and astronomy. Most problems in discrete math require exact, step-by-step solutions, just like solving geometric problems in astronomy.

Logical Reasoning: Studying geometric proofs in astronomy leads to logical reasoning. This is an important characteristic of discrete mathematics, where one has to go step by step logically to find the right solution. For example, proving that an orbit possesses certain properties involves similar deductive reasoning as when proving a theorem in discrete math.

Concepts of star charts and constellations are found to be in association with graph theory. The stars can be well thought to be as vertices, and the edges will be the lines connecting them. Correct Answers Help For Discrete Math helps to understand difficult concepts of combinatorics and graph theory to students.

Set Theory and Functions: The classification of celestial objects into sets, for example, planets, stars, and galaxies, introduces students to set theory. Functions, like distance versus luminosity, are also central in astronomy and discrete math.

Conclusion

Teaching astronomy through geometry is a multidimensional method. Through this, not only will the universe become accessible to more people, but mathematical skills, particularly in terms of discrete math, will be enhanced. By relating these disciplines, the student gets a general understanding of how they work together and can be more proficient for further study in mathematics and sciences. Correct Answers Help For Discrete Math often arise out of the bright, logical thought developed through the geometric exploration of the universe and, therefore, is an extremely valuable educational approach.

[orwxllainthere]

Finallllls

Time to start working on this second review. Shouldn't take too long to get it done today. I just need more time for the other class.

[elation0]

A246169: Decimal expansion of a constant related to identity trees vs A004111: Number of rooted identity trees with n nodes (rooted trees whose automorphism group is the identity group).

[gayanelogic]

Any Boolean operand can be used as a Boolean operator.