complexity theory: is the result of Cook and Ruzzo also valid for the uniform AC0 log space?

In Cook's famous article about $ mathsf {NC} $, cite the following result:

PROPOSAL 4.7 (Cook and Ruzzo, 1983). $ mathsf {AC} ^ k $ consists of those
problems solvable by families of uniform fan circuits without limits in $ O ( log ^ k n) $ depth and $ nO (1)} $ size.

where $ mathsf {AC} ^ k $ here is defined for $ k ge 1 $ like the kind of problems an ATM can solve (with direct access) in $ O ( log n) $ space and $ O ( log ^ k n) $ alternating depth (Of course, the definition of $ mathsf {AC} ^ k $ it's usually the other way around, but given the equivalence, it's all just a matter of presentation).

Note that the above is the uniform version of log space of $ mathsf {AC} $. It was later recognized that for $ mathsf {AC} ^ 0 $ the more restrictive dlogtime-uniformity is preferable. There is also an interesting result regarding the (in) equality of dlogtime- and logspace-uniformity of $ mathsf {AC} ^ 0 $. We also know that dlogtime-uniform $ mathsf {AC} ^ 0 $ It is characterizable as the kind of problems that ATMs can solve $ O ( log n) $ hour (instead of the space above) and $ O (1) $ alternating depth

Since dlogtime- and logspace-uniformity probably make a difference for $ mathsf {AC} ^ 0 $ I'm interested if the result of Cook and Ruzzo can be extended to the case of $ k = 0 $ and uniform log space $ mathsf {AC} ^ 0 $.
Unfortunately, in Cook's article, "Cook and Ruzzo, 1983" it only appears as "unpublished theorem", so I couldn't verify if the proof also works for $ k = 0 $ (and Cook and Ruzzo had simply neglected him for some reason).

0 is not a valid variable

I had some trouble plotting an approach to the Taylor series.
How can I solve this error?

enter the description of the image here

mac: is there any way to delete valid files that start with period (.) in a tar file that provides false files and errors?

I have a compressed tar file created on a Linux system that has valid files in a directory that begins with period (.).

When I extract that tar file on a Mac, tar thinks the dotted file is a resource fork

In linux:

# mkdir test_dir
# cd test_dir
# echo hello > ._SUCCESS.crc
# cd ..
# tar cvzf test_dir.tar.gz test_dir
test_dir/
test_dir/._SUCCESS.crc
# tar tf test_dir.tar.gz 
test_dir/
test_dir/._SUCCESS.crc

On the Mac:

$ tar xzf test_dir.tar.gz 
tar: copyfile unpack (test_dir/SUCCESS.crc) failed: No such file or directory
$ ls -la test_dir
total 8
drwxr-xr-x  4 xxxx  xxxx  128 Jul 31 16:31 .
drwxr-xr-x  4 xxxx  xxxx  128 Jul 31 16:31 ..
-rw-r--r--  1 xxxx  xxxx    6 Jul 31 16:22 ._SUCCESS.crc
-rw-r--r--  1 xxxx  xxxx    0 Jul 31 16:31 SUCCESS.crc

Is there any way to suppress the belief that any given point file is a resource fork?

For the curious, this is part of an export of sequence files from HDFS.

c # – I need help to refactor and ensure that my design / structure is a) valid and b) correct

I am creating a document conversion application. Ideally, you should be able to receive almost any file and reject it (it is not compatible) or return a converted version (in most cases, convert from x to PDF). It will also have some Sharepoint features such as download, upload, version control, etc., but that comes later. I wanted to create a standard form of conversion, but allow the classes to perform their own logic and specific tasks, since the conversion logic can be significantly different for different types of files. I also wanted to make sure that a Document It has a specific set of properties and methods (mainly to help with the integration of Sharepoint).

An example would be to take an existing Word document and return a PDF.

I'm not sure how to implement the part that decides what kind of conversion to use based on something like the file extension of the original document and the whole application "feels" a little bad.

I am at a stage early enough so that, if significant change is needed, it can be achieved. I think I could be confusing different design patterns and then confusing myself to make bad decisions. I have provided a simplified version of the code below, which is identical to my own code, less the things of Sharepoint and some of the properties in some of the classes (just to make reading easier).

Conversion abstract class

public abstract class Conversion
    {
        protected abstract IDocument Document { get; set; }
        protected abstract bool SaveDocumentLocal { get; set; }
        public Stream ConvertDocument()
        {
            BeforeConvert();
            var conv = Convert();
            if (SaveDocumentLocal)
            {
                this.SaveLocally(conv);
            }
            return conv;
        }

        protected virtual void BeforeConvert() { }
        protected virtual Stream Convert() { return new MemoryStream(); }
        protected virtual void SaveLocally(Stream doc) { }
    }

IDocument Interface

public interface IDocument
        {
        string Url { get; set; }
        string LocalPath { get; set; }
        int MinorVersion { get; }
        int MajorVersion { get; }
        DateTime CreateDate { get; set; }
        void SetVersion(int minor, int major);
        }

Document class

public class Document : IDocument
        {
        public string Url { get; set; }
        public string LocalPath { get; set; }
        public int MinorVersion { get; private set; }
        public int MajorVersion { get; private set; }
        public DateTime CreateDate { get; set; }
        public FileExtension Extension { get; set; }

        public Document(string url)
        {
            Url = url;
            CreateAndSetLocalPath();
            SetFileName();
            Extension = SetFileExtension();
            SetVersion(2,0);
        }
        private FileExtension SetFileExtension() { return new FileExtension(); }
        private void SetFileName() { Console.WriteLine("Set the filename"); }
        private void CreateAndSetLocalPath() { Console.WriteLine("Created and set local path"); }
        public void SetVersion(int major, int minor) { Console.WriteLine("Version set to {0}.{1}", major, minor); }
        }

WordDocumentConverter class

public class WordDocumentConverter : Conversion
    {
        public WordDocumentConverter(IDocument doc)
        {
            Document = doc;
            //Construct object
        }
        protected override IDocument Document { get; set; }
        protected override bool SaveDocumentLocal { get; set; }
        protected override void BeforeConvert()
        {
            //Do stuff before converting
        }
        protected override Stream Convert()
        {
            //Specific Word document conversion logic here to convert the IDocument to something else
            Console.WriteLine("Converted from Word to PDF");
            return new MemoryStream();
        }
        protected override void SaveLocally(Stream doc)
        {
            //Specific save logic here...
            Console.WriteLine("Saved a copy of 'doc' locally");
        }
    }

Sample Call Code

var doc = new Document(@"C:tempdoc1.docx");
var wdc = new WordDocumentConverter(doc);
wdc.ConvertDocument();

Let me know if I am missing something or I have not explained myself well. Thank you.

Is it valid to use "time back in words" for the Date / Time properties of Schema.org?

I have a message board site and I wanted to incorporate some scheme into your posts. One of the main attributes for publications is the time in which they are being created.

That said I met the dateCreated property. The only problem I am facing in the format requirements. The expected type is Date or DateTime. For UX purposes, I was interested in showing the publication date long ago in words. So instead of:

October 21, 2015, 7:28 AM

I would do something like:

5 minutes ago

Could you still do something like the latter since it is not exactly in date format?

How to proceed Hunza / Swat / Naran / Skardu with Visa Karachi valid for an Indian citizen?

For an Indian citizen who already has a Karachi visa; It is mandatory to obtain a
NOC will visit beautiful places like Hunza Tour (Gilgit-Baltistan), Skardu Tour, Swat Tour or similar places in the northern areas of Pakistan.

The latest news from the Ministry of Foreign Affairs of Pakistan say that several parts of the country that were previously out of bounds for foreigners and that require Certificates of No Objection (NOC) are now available to them. Does it mean that it applies to only 171 countries, excluding India and Israel? In such circumstances, half of my relatives come from the northern areas (Dheer, Abbottabad); How could my wish come true?

For a moment, if I consider visiting the Ministry of the Interior, Islamabad, then I would be violating the visa rule and directly asking a government official to provide NoC.

Please advise under such circumstances; How could I proceed? I really admire the beauty of the Northern Areas in Pakistan.

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– Landfills, tracks 1 and 2 US = 100 $ / 1, without pin 50 $
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angular: the & # 39; value & # 39; it must be a valid instance of JavaScript date. When using the Kendo date picker

I am trying to store a date in the database through the kendo date selector component that I send to my bank in this format:

2019-07-23T00: 00: 00

When I look for it in the bank and assign it the value of the bank through the

formcontrol.setValue ()

I receive:

Error: the & # 39; value & # 39; it must be a valid instance of JavaScript date. Check
http://www.telerik.com/kendo-angular-ui/components/dateinputs/datepicker/#toc-using-with-json
for its possible resolution.

This is the amount that comes from my bank: 2019-07-25T00: 00: 00


I have already tried to obtain the value and leave the control name in an aggregate form, but there were no differences.

Can a valid ETA passport be used to enter Australia if Aus citizenship has been granted (but does not yet have an Aus passport)?

I applied for citizenship by descent for my daughter 4 months ago, assuming there would be enough time to obtain an Australian passport before traveling to Australia at the end of July.

Due to a couple of problems that were not my fault, the citizenship will only be approved this week, without time to get a passport (she is already traveling in Thailand).

As a precautionary measure, I got you an ETA on your United States passport before submitting the application.
I know that ETA would not be granted if you are already a citizen, but does anyone know if the existing ETA will be canceled once you obtain Australian citizenship?

I want you to enter the US passport. UU And get your Aus passport while you are in Australia. From what I understand, the main problem is if the airline will allow you to board.

The Python script takes the input of four elements and generates a 4 x 4 Sudoku grid valid at time O (n), but only when non-repetitive elements are provided

Introduction

I found a smart and fun thing to do after solving a sudoku puzzle n ^ 2xn ^ 2. I can carry
a grid like this and encodes its indexes as restrictions to generate another 4 x 4 Latin squares in waiting time

enter the description of the image here

Now, I took each successive and coded row as indexes with successive print statements.

Indices of restrictions.

0123
3210
1032
2301

Work code

print (& # 39; enter with [1,2,3...] supports & # 39;)
text = entry ()[1:-1].Division (& # 39;, & # 39;)
print (text[0]text[1]text[2]text[3])
print (text[3]text[2]text[1]text[0])
print (text[1]text[0]text[3]text[2])
print (text[2]text[3]text[0]text[1])

Question

Being a beginner in python, I ask: is there a better way to encode the Sudoku pattern with fewer lines of code?

Because it would be discouraging to have to write exponential constraints for larger Latin squares.

I would appreciate keeping it in O (n) time because I want to enter whole numbers in addition to items 1-4. But, 100-104 and so on ..