magento2 – How to specify the path of the image in relation to the module in the HTML Knockout view?

I am creating a Magento 2 module, Usign 2.2.6, that tries to show some information in the payment process and I am stuck trying to add a relative image to the module path.

I am NOT using PHTML in this case, and I am trying not to have to.

FYI: I have read the question How to specify the path of the skin image in the HTML template of Knockout?

And this is to get images related to the theme path, not the module.

nt.number theory – Does this self-similar sequence have the relation $ ( sqrt2 + 1) ^ 2 $?

This is inspired by a question math.SE, where an infinite sequence of by different pairs natural numbers $ a_1 = 1, a_2, a_3, … $ It has been defined as follows:
$ a_n $ is the smallest number such that $ s_n: = sqrt {a_n + sqrt {a_ {n-1} + sqrt { cdots + sqrt {a_1}}}} $ it is a whole
It turns out that this sequence, which by the way is not yet in the OEIS, is in fact a permutation of $ mathbb N $. In addition, the images show that both $ (a_n) $Y $ (s_n) $ They exhibit an interesting self-similarity, with two alternate structures and the relationship that converges rapidly towards, as it seems, $ 3 + 2 sqrt2 = ( sqrt2 + 1) ^ 2 approx 5.828427 $ (see this other answer). Next I have shown the first $ 632 $ entries in a way that makes it easier to see what numbers generate what is perceived in the images as lines.

one,
3, 2,
7, 6,
13, 5,
22, 4,
33, 10, 12, 21, 11,
32, 19, 20,
31, 30,

43, 9, 45, 18, 44, 29,
58, 8, 60, 17, 59, 28,
75, 16, 76, 27,
94, 15, 95, 26,
115, 14, 116, 25,
138, 24,
163, 23,
190, 35, 42, 57, 41, 74, 40, 93, 39, 114, 38, 137, 37, 162, 36,
189, 50, 56, 73, 55, 92, 54, 113, 53, 136, 52, 161, 51,
188, 67, 72, 91, 71, 112, 70, 135, 69, 160, 68,
187, 86, 90, 111, 89, 134, 88, 159, 87,
186, 107, 110, 133, 109, 158, 108,
185, 130, 132, 157, 131,
184, 155, 156,
183, 182,

211, 34, 218, 49, 217, 66, 216, 85, 215, 106, 214, 129, 213, 154, 212, 181,
242, 48, 248, 65, 247, 84, 246, 105, 245, 128, 244, 153, 243, 180,
275, 47, 281, 64, 280, 83, 279, 104, 278, 127, 277, 152, 276, 179,
310, 46, 316, 63, 315, 82, 314, 103, 313, 126, 312, 151, 311, 178,
347, 62, 352, 81, 351, 102, 350, 125, 349, 150, 348, 177,
386, 61, 391, 80, 390, 101, 389, 124, 388, 149, 387, 176,
427, 79, 431, 100, 430, 123, 429, 148, 428, 175,
470, 78, 474, 99, 473, 122, 472, 147, 471, 174,
515, 77, 519, 98, 518, 121, 517, 146, 516, 173,
562, 97, 565, 120, 564, 145, 563, 172,
611, 96, 614, 119, 613, 144, 612, 171,
662, 118, 664, 143, 663, 170,
715, 117, 717, 142, 716, 169,
770, 141, 771, 168,
827, 140, 828, 167,
886, 139, 887, 166,
947, 165,
1010, 164,
1075, 192, 210, 241, 209, 274, 208, 309, 207, 346, 206, 385, 205, 426, 204, 469, 203, 514, 202, 561, 201, 610, 200, 661, 199, 714, 198, 769, 197, 826, 196, 885, 195, 946, 194, 1009, 193,
1074, 223, 240, 273, 239, 308, 238, 345, 237, 384, 236, 425, 235, 468, 234, 513, 233, 560, 232, 609, 231, 660, 230, 713, 229, 768, 228, 825, 227, 884, 226, 945, 225, 1008, 224,
1073, 256, 272, 307, 271, 344, 270, 383, 269, 424, 268, 467, 267, 512, 266, 559, 265, 608, 264, 659, 263, 712, 262, 767, 261, 824, 260, 883, 259, 944, 258, 1007, 257,
1072, 291, 306, 343, 305, 382, ​​304, 423, 303, 466, 302, 511, 301, 558, 300, 607, 299, 658, 298, 711, 297, 766, 296, 823, 295, 882, 294, 943, 293, 1006, 292,
1071, 328, 342, 381, 341, 422, 340, 465, 339, 510, 338, 557, 337, 606, 336, 657, 335, 710, 334, 765, 333, 822, 332, 881, 331, 942, 330, 1005, 329,
1070, 367, 380, 421, 379, 464, 378, 509, 377, 556, 376, 605, 375, 656, 374, 709, 373, 764, 372, 821, 371, 880, 370, 941, 369, 1004, 368,
1069, 408, 420, 463, 419, 508, 418, 555, 417, 604, 416, 655, 415, 708, 463, 413, 820, 412, 879, 411, 940, 410, 1003, 409,
1068, 451, 462, 507, 461, 554, 460, 603, 459, 654, 458, 707, 457, 762, 456, 819, 455, 878, 454, 939, 453, 1002, 452,
1067, 496, 506, 553, 505, 602, 504, 653, 503, 706, 502, 761, 501, 818, 500, 877, 499, 938, 498, 1001, 497,
1066, 543, 552, 601, 551, 652, 550, 705, 549, 760, 548, 817, 547, 876, 546, 937, 545, 1000, 544,
1065, 592, 600, 651, 599, 704, 598, 759, 597, 816, 596, 875, 595, 936, 594, 999, 593,
1064, 643, 650, 703, 649, 758, 648, 815, 647, 874, 646, 935, 645, 998, 644,
1063, 696, 702, 757, 701, 814, 700, 873, 699, 934, 698, 997, 697,
1062, 751, 756, 813, 755, 872, 754, 933, 753, 996, 752,
1061, 808, 812, 871, 811, 932, 810, 995, 809,
1060, 867, 870, 931, 869, 994, 868,
1059, 928, 930, 993, 929,
1058, 991, 992,
1057, 1056,

1123, 191, ....  

Once the data is sorted like this, the patterns seem quite predictable. However, every other block (for example, the penultimate one, which starts with $ 211 = a_ {113} $) has "paragraphs" of lengths $ 2 $ or $ 3 $, except possibly the first. Now you can see by construction that from a block to the next (envelope), the sequence 2-3 of the block is generated by the previous one in a similar way to the "rabbit sequence", also known as "Fibonacci". word "https://oeis.org/A005614, by the laws (essentially) $ 3 to22, 2 to323 $ plus the boundary conditions that are much harder to predict …
So this partly explains self-similarity. But:

How can you prove that the asymptotic relationship is $ 3 + 2 sqrt2 $?

Each block consists of a group of monotonous "horizontal" subsequences and a group of monotonous "vertical" subsequences. For each other block, they come in roughly "L-shaped" pairs. The numbers of "L shapes" per block are clearly distinguishable, p. Ex. $ 8 $ of them in the range of $ n = 49, dots, $ 112 (starting after $ a_ {48} = 190 $) Y $ 19 $ for $ n = 270, dots, $ 630 (starting after $ a_ {269} = $ 1075, the beginning of the last block). Those numbers $ (c_j) = 3,8,19,46, points $ it seems that they form the sequence of Fibonacci types https://oeis.org/A078343 with $$ c_j = frac14 Bigl[(3 sqrt{2} – 2) (1 + sqrt{2})^j – (3 sqrt{2}+2) (1 – sqrt{2})^jBigr], $$ which is another indication in favor of the conjectured relationship, but I'm not sure if the recursion $ c_j = 2c_ {j-1} + c_ {j-2} $ It can be shown by induction.

You can also take a look at https://codegolf.stackexchange.com/a/145234/14614, which shows the differences $ a_ {n + 1} -a_n $, and in the image of the reverse map. $ a_n mapsto n $ cited below one of the comments. (Note that the isolated point in $ a_n = $ 191 corresponds to $ n = $ 632, which is just where my previous table stops.)
Both show a lot of beauty, but they also show that self-similarity is somewhat less strict than for the fractal sequences mentioned here. reverse sequence

[ Politics ] Open question: Why do liberals vehemently defend science in relation to climate, but ignore science with respect to gender?

[ Politics ] Open question: Why do liberals vehemently defend science in relation to climate, but ignore science with respect to gender? .

Theory of representation rt – $ m- $ cycles in $ S_n $ module an equivalence relation

Leave $ A $ be the set of all $ m- $cycles in $ S_n $. Define an equivalence relation $ i $ in $ A $ by $ sigma_1 $ it's related to $ sigma_2 $ by $ i $ Yes $ sigma_1 $ it is a power of $ sigma_2 $ or viz., then the number of equivalence classes is given by $ frac {n!} {m (n-m)! phi (m)} $ , where $ phi (m) $ It's the totient function of Euler.

We have the sequence of oeis related here:

I want to know more about the combinatorial meaning of these numbers.

I want to know, do these numbers have any familiar object in the theory of the representation of symmetric groups? I suspect that these numbers related to the irreducible representation correspond to the partition (m, 1,1, …).

This is a vague question, if someone can suggest some references that will be very useful.

Thank you.

Import multiple EXCEL files in relation to each other (Vlookup) in MS SQL Server

Hello to all the experts and readers.
I have several Excel files that are related to each other.
I want to use your data and develop a web application.
First, I need to import them to the SQL server (I think SQL Server is more compatible with Excel files)
But some of them have many records and also relationships. (Vlookup)
How can I import them with their relationships in SQL Server?
Is there any way?

Note that I use SQL Server 2016 and that the Excel file format is 2007-2010, but I also open the Excel file in Microsoft Office Excel 2016.

Thank you.

General topology – Equivalence relation and topological space.

Can you please help? I'm totally lost
Let X be a topological space. We define an equivalence relation in X by declaring x ~ x 'if f (x) = f (x') for each space of Hausdorff Y and each function continues f: X → Y.

(a) Show that ~ is in fact an equivalence relation.

(b) Show that for each function continuous f: X → Y with Y to Hausdorff space, there is a unique
continuous function f ': (X / ~) → Y such that f = f'◦p (wherep: X → X / ~ is the projection).

(c) Show that the space of the quotient X / is a Hausdorff space.

Theory of elementary sets: How do I prove that this is an equivalence relation?

I need to prove that the following is an equivalence relation. However, I have no idea how to do it. I get stuck in the transitive and the symmetrical.

Leave $ m in mathbb {N} ^ + $. Test that relationship $ R $, defined by $$ R = left {(a, b) in mathbb {N} times mathbb {N} | m text {divide} b – a right } $$

What is the recurrence relation for the binary search tree?

Write the recurrence relation for the binary search tree; Solve it using the iterative method and answer the end in asymptotic form.

mysql – Consult two tables without foreign key and relation

I have two tables tb_ ordered Y tb_pagamento, I put an example below with some fictitious data. I need a report that shows the data of the tb_ ordered and of the tb_pagamento, all in a single table as in example 3. I thought about doing a left join but I did not get it, I just need to add the column data_pagamento Y value_payment to finalize the report.

TB_PEDIDO
COD_EMPRESA | COD_FORNECEDOR | DATA_EMISSAO | value_order |
1 | 1 | 11/01/2018 | 1000 |
2 | 2 | 11/02/2018 | 2000 |

TB_PAGAMENTO
COD_EMPRESA | COD_FORNECEDOR | DATA_ENTRADA | DATA_PAGAMENTO | VALUE_PAGAMENT |
1 | 1 | 11/26/2018 | 11/27/2018 | 1000 |
2 | 2 | 11/26/2018 | 11/28/2018 | 2000 |


---------------------- ---------------------- TB_PEDIDO | ---- TB_PAGAMENTO ---- --------- |
COD_EMPRESA | COD_FORNECEDOR | DATA_EMISSAO | value_order | DATA_PAGMENTO | VALUE_PAGAMENT |
1 | 1 | 11/01/2018 | 1000 | 11/27/2018 | 1000 |
2 | 2 | 11/02/2018 | 2000 | 11/28/2018 | 2000 |

Nvidia graphics card: What does "this port is only for data transfer" mean in relation to USB-C?

According to the technical specifications of the Asus ZenBook Flip 14 UX461UN and the manual, they all say this about the USB-C 3.1 port:

This port is only for data transfer.

General question: What are you trying to say? it will not do?

Specific question: this laptop comes with a dedicated graphics card with 4K capacity, and I am looking to obtain a type of pseudo-docking station through USB-C, which would provide 4K Video / Audio and USB for HID. Is this possible, or is the dedicated graphics card not connected to USB-C in that way?