I've been learning Kanji using this Anki deck (All In One Kanji Deck) it's got everything I want however the order of the cards is not working good for me, I'm seeing new kanji with components that I have yet to learn which makes it hard to memorize. I'd like it to be sorted by each component like this list on Github (Topokanji) so that I will know the component within the Kanji first. I've got the list with them all in a line in the correct order (here) but I can't find a way to make anki just use that as a resource to sort my cards. Any help would be appreciated. Thanks

So I made a deck for personal use that I also wanted to share. I've published an entry on my blog with the details on how I did it if you're interested.

Example note

It's got about 11k characters and words, ordered by the algorithm the study proposes. I used the same dictionary Pleco uses to make the answers.

Download link

This is a WIP and has many bugs, especially with the way it handles audio files. I've got a link to its Github repo on my blog if you want to check out the code or contribute to it.

> Bourbaki's so called “mother structures” (i.e. algebraic structures, order structures and topological structures

It seems like most mathematical structures fall under at least one of them. E.g. the real numbers is the complete ordered field, so it uses axioms from all three.

Are there other "mother structures"?

Only one I can think of is set theory's axioms

You are given as input a list of words from an unknown alphabet, sorted in lexicographic order. You may assume that the words are all lower case, and do not contain any non-letter characters. For example, using the Roman alphabet, an input might be:

["ad", "art", "bad", "bat", "cat"]

Write a function that accepts such a list as input, and outputs a string containing each character found in the dictionary, sorted in lexicographic order

Examples:

input: ["baa", "abcd", "abca", "cab", "cad"]

output: "bdac"

input: ["caa", "aaa", "aab"]

output: "cab"

For a standard roman alphabet, assuming a complete list of English words, the output should be:

'abcdefghijklmnopqrstuvwxyz'

However, we cannot assume that our input words use the standard roman alphabet order.

Source: Google interview and many others.

Edit: My example input and outputs were wrong, updated with new ones. See here for another write up.

This is what my answer sheet is: https://i.imgur.com/WYq9KZX.jpg

I can't make sense of it.

So what's in parenthesis is the delayed time. For the first delayed time which is 16, the original starting time is at 26 unit of time. I don't get where the number 26 comes from and it's throwing me off from there. Like why would D start at 26 when it can start at 10 like in the earliest time version? Where are these numbers coming from? Can anyone help me out with this or lead in me in the right direction if you can examine this and have a correct guess?

I'm a student in my honours year of my undergrad, and I've come across these topics and I want to learn more about them. However my university's mathematics courses for physics students made no mention to topology, so I'm not really sure what's going on when people talk about "topological invariants" and stuff like that. I've got a rough qualitative idea of what is meant by topology, but no specific or technical understanding. I'm an eager student, so I'm happy to dig through some mathematical nitty-gritty if need be, but I don't want to chew through a huge a dense textbook only to find that only about half a chapter is actually relevant.

So, what do I need to know, and how should I go about learning it?

While I was wikisurfing a while back, I came across this article, and it's been nibbling in the back of my mind. So here are my questions...

1. Exactly how revolutionary a concept is it?

2. I understand that symmetry is responsible for most of the properties of matter that we experience day to day, and that quantum entanglement is outside the scope of that. In that case how come entanglement is relevant for so few materials, like type I superconductors and superfluids, compared to otherwise?

3. What other kinds of interesting properties of materials are predicted to exist based on topological order?

Thanks for reading.

Let's have a standard topological ordering algorithm (from CLRS):

Topological_ordering(G)
    foreach vertex v in V do
        v.color = white
    
    for each vertex v in V do
        if v.color = white then
            Stack = DFS(G, v, Stack)
    return Stack

// DFS

DFS (G, v, Stack)
    v.color = gray
    for each u adjacent of v do
        if u.color = white then
            Stack = DFS(G, u, Stack)
    v.color = black
    Stack.push(v)
    return stack

Now let's apply this to a cyclic graph G.

We will not have a topological ordering of the vertices of G, but we shall have a topological ordering of the graph of the Strongly Connected Components

>The graph of the Strongly Connnected Components derived from the graph G is a graph in which each SCC is represented by only one vertex (also called compressed SCC graph

Example

For example let's look at this graph: https://imgur.com/a/0EXOxJt (sorry for the poor drawing skills). In green the SSC of this graph.

Applying the algorithm above, one possible stack configuration is:

head ----> 2 ; 3 ; 4 ; 5 ; 1 ; 6 , 8 ; 7 ; 9

As you can see the elements of an SCC are "all together". How to prove this mathematically? Thank you.

I am referring to topological sort in the context of directional acyclic graphs. Topological sorting generally yields a nonunique arrangement of nodes. Is it possible to develop a version of topological sorting that returns the same arrangement of nodes every time it is run? Thanks in advance

This is an example in Munkres (Ch-2 sec-16). He states that one point set {2} is open in subspace topology because it's intersection of Y,defined as [0,1)U{2} and the set (1.5,2.5) on real line. That I understand, this is the definition of subspace topology.

I don't understand the next part: order topology of Y. Basis element of order topology of Y containing 2 will be of form (a,2]. Of course that's the definition but why does this makes the set {2} not open in Y. Munkres explains it by saying such a set, (a,2] will contains point of Y less than 2. I can't grasp this last statement. What just happened?

Basically, the problem is deciding what tasks to do to make your day as productive as possible.

You have a to-do list, on which are some tasks with their required time to finish, their productivity scores, and their task dependencies.

Is there an algorithm to answer the question “If you can only spend n hours on these tasks, then what’s the optimal set of tasks?”

For High-Frequency Low-Current Second-Order Bandpass Active Filter Topology and Its Design in 28-nm FD-SOI CMOS , why the following cmos bandpass filter circuit does not work ?

https://preview.redd.it/dsel71gyeip51.png?width=1922&format=png&auto=webp&s=0235819f5fce9c489b62d2903a99d48812367de0

I'm getting into self-studying more advanced math now, and am wondering what the "roadmap" would be in terms of when to study what w.r.t. prerequisite knowledge. I'd define the "entry points" to be Real Analysis, Abstract Algebra, and Topology. After this though I'm wondering where other subjects fit in such as Measure Theory, Differential/Algebraic Geometry, Functional/Harmonic Analysis, etc. (+ whatever else you feel belongs). Thanks

My understanding is the MSI gaming edge wifi mobo is daisy chain topology https://www.tweaktown.com/news/72160/msis-new-intel-z490-lineup-has-landed-and-heres-whats-on-offer/index.html And daisy chain overclocks better with 2 dimms

In BuildZoid's video https://www.youtube.com/watch?v=yWq9ijvYfGE he's recommending 4x8gb for the MSI gaming edge wifi

I need CAD / 3d printer slicing for work and 32gb would be really nice. Gaming / overclocking is secondary. Its like 1a and 1b

Does the OC / speed advantage of 8gb dual rank dimms overcome the disadvantage of running 4 dimms with daisy chain memory topology? Compared to quad rank with two dimms.

Budgeting $200 for ram. Don't mind the extra work of manually overclocking 3200 cl14 dimms if it sames money compared to 4000 cl19

I’ve just ordered the eero 3 pack! Yay!

Now as I’m waiting for them to arrive, I'm thinking about the topology.

The setup

I wrote about my original setup and considerations before deciding on the eero here:

https://www.reddit.com/r/HomeNetworking/comments/gp24a3/is_this_old_home_setup_worth_improving/

Here’s a map of the current setup (pre-eero):

https://drive.google.com/file/d/1_BlFtRv6wFq6YhFF5xeZNFyNJJz4BKK8/view?usp=sharing

The key points are:

• Only 50 mbit VSDL (PPPoE) from German Telekom, connected through a Fritzbox router (now upgradable to 100 mbit)
• Only 100 mbit wires from the basement utility room to many rooms around the house (but not to the 1st floor)

My current modem is a Fritzbox that also acts as firewall, DHCP, switch and wireless AP.

I forgot to mention in my original writeup, that the Fritzbox provides VoIP configuration to the ISP for our Gigaset VoIP box (and the 2 wireless handsets around the house). It is possible to configure the box into connecting straight to the VoIP service over the internet directly, instead of relaying it through the Fritzbox I believe. But it would be nice to avoid this.

It’s not ideal for the wireless setup to place one eero in the utility room, but I’ll do it if needed. I may buy an additional eero for the 1st floor eventually.

Bridged mode or not

I understand that I’m giving up advanced features of the eero by putting it in bridged mode. I don’t have a strong desire for any of those features yet.

The documentation here states that bridge mode is required since our internet connection is PPPoE, but reading here it sounds like I could put a non-bridge eero setup NATed behind the Fritzbox.

Bridged mode options

My first idea is to place the eeros out as nodes in the existing infrastructure, simply to position wireless APs around the house.

https://drive.google.com/file/d/1_FE0P0izxwuaGnZKsGedvpADYrVOFJeW/view

However, based on what I read here, eero will not play well if evenly distributed through the network. I can place one eero “higher” in the topology by connecting it directly to the Fritzbox in the utility

My teacher's explanation did nothing but confuse me even further

While I was wikisurfing a while back, I came across this article, and it's been nibbling in the back of my mind. So here are my questions...

1. Exactly how revolutionary a concept is it?

2. I understand that symmetry is responsible for most of the properties of matter that we experience day to day, and that quantum entanglement is outside the scope of that. In that case how come entanglement is relevant for so few materials, like type I superconductors and superfluids, compared to otherwise?

3. What other kinds of interesting properties of materials are predicted to exist based on topological order?

Thanks for reading.