## Compare the conventional software development and RAD cycle

Compare the conventional software development and RAD cycles describing similarities and differences?

## gr.group theory – Is the Singer cycle preserved by field automorphisms and graph automorphisms?

Let $$T=operatorname{PSL}_n(q)$$ with $$n$$ a prime number. Then the $$mathscr{C}_3$$ subgroup $$M=langle xrangle{:}langlesigmarangle$$ of $$T$$ is isomorphic to $$mathbb{Z}_{frac{q^n-1}{(q-1)(n,q-1)}}{:}mathbb{Z}_n$$, where $$x$$ comes from the Singer cycle.

Note that $$sigma$$ has a matrix which is a permutation matrix corresponding to $$(1,2,dots,n)$$ in $$operatorname{SL}_n(q)$$. It follows that $$langlesigmarangle$$ is preserved by any outer automorphism of $$T$$.

My question is: is $$langle xrangle$$ preserved by any outer automorphism of $$T$$? It is true for the diagonal automorphism and the $$mathscr{C}_3$$ subgroup of $$operatorname{PGL}_n(q)$$ is isomorphic to $$mathbb{Z}_{frac{q^n-1}{q-1}}{:}mathbb{Z}_n$$. How about the field automorphism and the diagonal automorphism? How can we find a matrix form of $$x$$ in this case?

That is to say, if $$oleoperatorname{Out}(T)$$, then is the $$mathscr{C}_3$$ subgroup of $$T.o$$ just $$M.o$$? And how about the case when $$T=operatorname{PSU}_n(q)$$ and $$M$$ is isomorphic to $$mathbb{Z}_{frac{q^n+1}{(q+1)(n,q+1)}}{:}mathbb{Z}_n$$, where $$n$$ is still a prime number? In this case we only need to consider the field automorphism.

## graphs – Will the minimum spanning tree not have only those edges specified by the cycle property?

Sorry if I didn’t understand your question, but what I think you meant to ask is, whether it is possible for an edge to not be in a MST if this edge is not in a cycle.

Let us assume that we have an edge (u,v) in a graph G, that isn’t part of a cycle. This would mean that there is no path from u to v that isn’t the edge (u,v).
If the edge (u,v) weren’t in the MST, this would mean that there is no path from u to v in this MST, meaning that the MST would be disconnected, and thus not an MST at all.
Hence if an edge is not part of a cycle, it must be in the MST of the graph.

## ipados: iPad wifi option appears gray after Bluetooth caused it to get stuck in a restart cycle

My iPad was updated and the bluetooth function stopped working. I discovered it with a crash log with 3utools. At first, it would crash and restart, only to do the same. Once I was able to access the settings fast enough to disable Bluetooth, and although it still rebooted, it ran stable at startup, except that the WiFI option was fully grayed out, and Bluetooth, when enabled through settings, was simply a spinning cog wheel. Occasionally after rebooting it will sometimes connect to WiFi; However, this only happens for a few moments at a time, which makes me hesitate a bit when saying that it's just hardware. Here is the last record:

Incident identifier: 7251F755-B883-4927-BCAC-9C7BEFC95DF4
CrashReporter Key: aa4ee93a47dfe616a58f2199f2d969d65e8e25bc
Process: bluetoothd (77)
Path: / usr / sbin / bluetoothd
Identifier: bluetoothd
Version: ???
Code type: ARM-64 (Native)
Role: not specified
Main process: launchd (1)
Coalition: com.apple.bluetoothd (111)

Date / time: 2020-05-14 22: 44: 20.2982 -0400
Release time: 2020-05-14 22: 43: 42.9511 -0400
Operating system version: iPhone OS 13.4.1 (17E262)
Launch Type: User
Baseband version: n / a
Report version: 104

Exception type: EXC_CRASH (SIGABRT)
Exception codes: 0x0000000000000000, 0x0000000000000000
Exception note: EXC_CORPSE_NOTIFY
Wire activated: 7

0 libsystem_kernel.dylib 0x00000001b27f3198 0x1b27ef000 + 16792
1 libsystem_kernel.dylib 0x00000001b27f260c 0x1b27ef000 + 13836
2 CoreFoundation 0x00000001b299d3b4 0x1b28f5000 + 689076
3 CoreFoundation 0x00000001b29983e8 0x1b28f5000 + 668648
4 CoreFoundation 0x00000001b2997c34 0x1b28f5000 + 666676
5 CoreFoundation 0x00000001b2998990 0x1b28f5000 + 670096
6 bluetoothd 0x0000000100a2aeb8 0x100a1c000 + 61112
7 libdyld.dylib 0x00000001b281f800 0x1b281e000 + 6144

0 libsystem_pthread.dylib 0x00000001b2739738 0x1b272b000 + 59192

0 libsystem_pthread.dylib 0x00000001b2739738 0x1b272b000 + 59192

Thread name 3: send queue: com.apple.bluetooth.root
0 libsystem_kernel.dylib 0x00000001b2815104 0x1b27ef000 + 155908
1 libsystem_c.dylib 0x00000001b267d458 0x1b260e000 + 455768
2 libsystem_c.dylib 0x00000001b267d328 0x1b260e000 + 455464
3 bluetoothd 0x0000000100ac73a4 0x100a1c000 + 701348
4 bluetoothd 0x0000000100a705d0 0x100a1c000 + 345552
5 bluetoothd 0x0000000100cba864 0x100a1c000 + 2746468
6 bluetoothd 0x0000000100cbb738 0x100a1c000 + 2750264
7 bluetoothd 0x0000000100ca39a4 0x100a1c000 + 2652580
8 libdispatch.dylib 0x00000001b26e49a8 0x1b268a000 + 371112
9 libdispatch.dylib 0x00000001b26e5524 0x1b268a000 + 374052
10 libdispatch.dylib 0x00000001b26918a4 0x1b268a000 + 30884
11 libdispatch.dylib 0x00000001b26922c4 0x1b268a000 + 33476
12 libdispatch.dylib 0x00000001b269b78c 0x1b268a000 + 71564
13 libsystem_pthread.dylib 0x00000001b2736b74 0x1b272b000 + 47988
14 libsystem_pthread.dylib 0x00000001b2739740 0x1b272b000 + 59200

0 libsystem_pthread.dylib 0x00000001b2739738 0x1b272b000 + 59192

0 libsystem_pthread.dylib 0x00000001b2739738 0x1b272b000 + 59192

0 libsystem_kernel.dylib 0x00000001b2814b58 0x1b27ef000 + 154456
1 libsystem_pthread.dylib 0x00000001b272ed18 0x1b272b000 + 15640
2 bluetoothd 0x0000000100a70840 0x100a1c000 + 346176
3 libsystem_pthread.dylib 0x00000001b2735d98 0x1b272b000 + 44440
4 libsystem_pthread.dylib 0x00000001b273974c 0x1b272b000 + 59212

0 libsystem_kernel.dylib 0x00000001b2814d88 0x1b27ef000 + 155016
1 libsystem_pthread.dylib 0x00000001b272d1e8 0x1b272b000 + 8680
2 libsystem_c.dylib 0x00000001b2680644 0x1b260e000 + 468548
3 bluetoothd 0x0000000100e05a24 0x100a1c000 + 4102692
4 bluetoothd 0x0000000100a59200 0x100a1c000 + 250368
5 bluetoothd 0x0000000100a577f0 0x100a1c000 + 243696
6 libsystem_pthread.dylib 0x00000001b2735d98 0x1b272b000 + 44440
7 libsystem_pthread.dylib 0x00000001b273974c 0x1b272b000 + 59212

x0: 0x0000000000000000 x1: 0x0000000000000000 x2: 0x0000000000000000 x3: 0x0000000000000000
x4: 0x000000000000002c x5: 0x0000000000000000 x6: 0x0000000000000000 x7: 0x00000000000003f8
x8: 0x000000016f69b000 x9: 0x7bf970bab03f4aec x10: 0x00000001b272d160 x11: 0x02000000100001e8
x12: 0x0000000000000000 x13: 0x02000001100001e8 x14: 0x0000000000000000 x15: 0x0000000000000000
x16: 0x0000000000000148 x17: 0x000000016f69b0e0 x18: 0x0000000000000000 x19: 0x0000000000000006
x20: 0x0000000000013a0f x21: 0x0000000000000001 x22: 0x000000016f69b0e0 x23: 0x0000000100f88000
x24: 0x0000000100e8114e x25: 0x0000000100f9ad40 x26: 0x0000000000000005 x27: 0x0000000100f9a000
x28: 0x0000000100e753e6 fp: 0x000000016f69ad60 lr: 0x00000001b272d1e8
sp: 0x000000016f69ad40 pc: 0x00000001b2814d88 cpsr: 0x40000000

Any ideas?

## performance – 162,000,000 Cycle blocks Excel every time

I have a code that has a "master sheet", a "value sheet" and a "value sheet" (as well as 100 other "store specific" sheets that are part of the process before this, but are of no importance here ).

The master sheet is a data set of store numbers (column "A"), barcodes (column "C"), and movements (column "H"). All stores are "rated" as V (value) or NV (no value). The macro copies the master sheet and then removes duplicate UPCs to create both value and non-value sheets. Then it runs from the bottom of the value sheet up and:

1. cycles from the bottom of the master sheet up to see if the movement is 0

If Mstr_Mvmt = 0 Then Else

2. if the master move <> 0, check if the barcode matches the UPC of the value sheet.

If V_Barcode.Value <> Mstr_Sht.Cells(t, 3).Value Then Else

3. if they match, perform a VLookup of the store number against "Class_Rng" (classification range) to see if the store number in the master sheet is a store of values.

If WorksheetFunction.VLookup(Mstr_Str_Num, Class_Rng, 2, False) = "V" Then

4. if so, add the master move to the value move.

.Cells(r, "H").Value = Mstr_Mvmt + V_Mvmt

This process is then repeated for the No Value sheet. Sorry for the silly format, but code is required to post. It is easier to read on the link.

The master sheet has 90,000 lines and the other two (with the duplicates removed) have approximately 900. So, in total, the "if" series spans 162,000,000 rows. I had the If's in a line using and / or commands, but I don't know if they sped something up at all, and when I started to rearrange the logic I separated them to see if it would help at all. I know there is a discussion on whether case v., And some say the case may be a millisecond faster, but I prefer the statements, however I would gladly switch teams in this case (no pun intended) if it helped .

There are other sheets in "Mstr_Bk", so I tried to split that into a new book so that those ~ 100 sheets weren't there so messy, and the code hit the entire Value sheet for the first time and the resulting file is what I needed to, but then Excel crashed while executing the Non Value loop and I lost that code snippet and wanted to come here before rewriting it, hoping for a better solution.

Also, I learned VB through trial and error, so be gentle. My VB vocabulary is not the best, and if there is anything seen that is a bad practice, please let me know. (I know Option Explicit is something I should be doing, but I've never taken the time to learn how it works, and so far, it hasn't given me much of a beating not using it.)

## magento2.3: memory leak in product save cycle

I am trying to import ~ 5000 products from XML, but the runtime and memory usage increase with each cycle, resulting in a long import process.
Test code to demonstrate:

productFactory = $productFactory;$this->productRepository = $productRepository;$this->random = $random;$this->state = $state; } /** * @inheritDoc */ protected function configure() {$this->setName('test');
$this->setDescription('Test'); parent::configure(); } protected function execute(InputInterface$input, OutputInterface $output) {$this->state->setAreaCode(Area::AREA_GLOBAL);

for ($i = 0;$i <= 15; $i++) {$rand = $this->random->getRandomString(15); /** @var ProductInterface$product */
$product =$this->productFactory->create();
$product->setSku($rand);
$product->setName($rand);
$product->setAttributeSetId(4);$product->setTypeId('simple');
$product->setPrice(10); echo sprintf('Memory usage before save: %s%s', memory_get_usage(), PHP_EOL);$this->productRepository->save($product); echo sprintf('Memory usage after save: %s%s', memory_get_usage(), PHP_EOL); } } }  Results: Memory usage before save: 58376560 Memory usage after save: 89150656 Memory usage before save: 89141752 Memory usage after save: 89171592 Memory usage before save: 89162688 Memory usage after save: 89192848 Memory usage before save: 89183944 Memory usage after save: 89213784 Memory usage before save: 89204880 Memory usage after save: 89235680 Memory usage before save: 89226776 Memory usage after save: 89256616 Memory usage before save: 89247712 Memory usage after save: 89277552 Memory usage before save: 89268648 Memory usage after save: 89298488 Memory usage before save: 89289584 Memory usage after save: 89323264 Memory usage before save: 89314360 Memory usage after save: 89344200 Memory usage before save: 89335296 Memory usage after save: 89365136 Memory usage before save: 89356232 Memory usage after save: 89386072 Memory usage before save: 89377168 Memory usage after save: 89407008 Memory usage before save: 89398104 Memory usage after save: 89427944 Memory usage before save: 89419040 Memory usage after save: 89448880 Memory usage before save: 89439976 Memory usage after save: 89469816  I tried to instantiate the$ product object only once, and then delete it on each cycle, but that didn't help much.

Any tips or suggestions on how to avoid memory loss? Maybe a clue as to what is causing it? I would like to import products without some custom MySQL queries.

## usability: UX in an iterative process of software development life cycle?

I am aware of the iterative model of software development lifecycles. However, I have been Googling and trying to find more information about various tools that can be used in a software development project. All this, of course, taking into account the equation (that is, the consideration), along the way, at each stage, three variables: usability, efficiencyand effectiveness. Also, can a tool be used at each stage?

Source: https://airbrake.io/blog/sdlc/iterative-model

The phases:

1. Planning and requirements
2. Analysis and design
3. Implementation
4. Tests
5. Evaluation

Hope to read a good answer! I've been reading a few on the subject and Googling. But I thought to ask here. Perhaps other people know more and even know various tools.

PLEASE: do not migrate. This question is related to UX.

## usability: what tools can be used in an iterative software development life cycle?

I am aware of the iterative model of software development lifecycles. However, I have been Googling and trying to find more information about various tools that can be used in a software development project. All this, of course, taking into account the equation (that is, the consideration), along the way, at each stage, three variables: usability, efficiencyand effectiveness. Also, can a tool be used at each stage?

Source: https://airbrake.io/blog/sdlc/iterative-model

The phases:

1. Planning and requirements
2. Analysis and design
3. Implementation
4. Tests
5. Evaluation

Hope to read a good answer! I've been reading a few on the subject and Googling. But I thought to ask here. Perhaps other people know more and even know various tools.

## memory hardware: how does the software interact with the CPU in the recovery run cycle?

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