Para 5, , by      The Lord so guide thee, manifest himself to thee, help thee, and lead   thee by his Holy Spirit and power, as that thou mayst come undeniably   to experience, and to be satisfied by him about these things. And mind   not so much to know, as to be obedient &lt;445> [sic] and subjected to the   Lord, both in thy heart and in thy conversation also, in the least thing that he makes manifest.    1. What's the subject of the verb mind? How do you determine/deduce this?  2. Does this para reveal what is the least &gt; thing that he makes manifest?
Para 5, , by      If the Lord would show thee but this one   thing, -- that to use "thee" and "thou" to a particular person is   proper language, and Scripture language; and that to say "you," is   improper, and arose from pride, and nourisheth pride, and so is of the   world, and not of the Father; and thou should bow thy spirit to him in   this one thing, thou little thinkest what a work it would make within thee, and how strongly the spirit of darkness would fight against thy   subjection thereto. The Lord lead thee as he seeth good, and give thee   faithfully to follow; for else, if the Lord should lead in any thing,   and thou not follow in that thing, his Spirit would be grieved and   vexed thereby, and thy heart in danger of being hardened by the   deceitfulness of sin.   What is the Lord giving thee faithfully to follow?   The grey claims that the reader thinks little of the significance of stressing 'thee' and 'thou' over 'you'. So I'd guess that the Lord is giving 'thee' this caution? If I'm right, why is there no direct object in the bolded? I recognise grammatical differences in the 1600s, but still want to learn.
Possible Duplicate:          As a English non-native speaker it is difficult for me to understand when I must use present perfect or past simple because in my official language there isn't the present perfect tense. I know that present perfect is related to something that happened in the past but its result is important now. But for instance:        The message has been sent.   The message was sent.      Please help me point me out any examples/contexts where I should use 1. instead of 2. How to find continued fraction of pi I have always been amazed by the continued fractions for $\pi$. For example some continued fractions for pi are:  $\pi=[3:7,15,1,292,.....]$ and many others given .  Similarly some nice continued fractions for $e$ and it's derivatives are given .I have tried to prove that the are indeed the continued fractions but did not get very far.If any one can can help it would be great(especially if there is some easy way to get continued fraction of derivatives of e from the original continued fraction of e).Here derivatives of e I mean $\sqrt e,\frac{e-1}{e+1} $ etc. Enable External Sharing Programmatically We have a scenario on which we are creating site collections from a provider-hosted app. Some of these site collections will be used by external users. Is there a way from CSOM (server-side) to enable external sharing on the site collection? I haven't found any resources stating whether this is or not doable.  I'm trying to replicate the settings you can specify at the site collections page on the tenant admin site:    Thanks! How to encrypt a file or directory in Linux? What's the most popular command to do such things as encrypting a file or directory in terminal in Linux? If every real-valued continuous function is bounded on $X$ (metric space), then $X$ is compact. Are "white" and "black" ever capitalized when referring to people? Ignore citations in captions in list of figures when numbering When using the \cite command in figure captions and the ieeetr bibliography style, then  BibTeX numbers the citations as appearing earlier than they do in reality (i.e. the first citation in the document ends up being [42]).  Is there any way to get BibTeX to ignore the \listoffigures section when numbering? The locus of the intersection point of two perpendicular tangents to a given ellipse How to enforce sender address to be "logged-in-user@example.org" in Postfix? I have set up a Postfix server with SMTP AUTH (STARTTLS on port 587). All my users are in the domain "example.org". I want to enforce the sender address to be "logged-in-user@example.org".  I learned that this can be achieved with the main.cf options  smtpd_sender_restrictions = reject_sender_login_mismatch, ... smtpd_sender_login_maps = hash:/etc/postfix/smtpd_sender_login_maps   with a login_maps file like:  a@example.org a b@example.org b c@example.org c ...   (see also ), but this would mean I'll have to edit the login_maps file every time I have a new user. I don't need such a flexible mapping: It should always be "logged-in-user@example.org". Is there an easier option? Proving the sum of two independent Cauchy Random Variables is Cauchy The use of “So X as to be Y” First of all, note that this is not a duplicate question of another one asking about the usage of so as to, since this one is asking about the structure of so . . . as to. . . .  I understand this might have been a better question at the , since I’m not a native English speaker. I am asking it here since I want to get some professional advice in regard to this question, since I don’t seem to have found anything similar to this on the Internet.  At the Oxford Dictionaries Online (OD) I have found the following definition of ludicrous:     So foolish, unreasonable, or out of place as to be amusing.   I understand the phrase so as to, simply meaning in order to and preceding the purpose for which an action is done.  So by itself is just therefore, hence, thus, or a way of emphasizing an adjective or adverb.  As to in itself means with regard to or according to, as pointed out in .  In the OD definition of ludicrous, the use of so looks fair to me, that is, it clearly emphasizes the high extent to which something is foolish or unreasonable.  The use of as to doesn’t work in any way I’ve mentioned in this case (neither as in with regard to nor according to). I think the dictionary I’ve referred to has missed one, if not more, meaning of the phrase as to.  In this case, it appears to have likely been used as an alternative to that when used in the form So X, that Y, meaning something is or happens X (a combination of adjectives or adverbs) enough to cause Y to happen.  Of course, I don’t mean that in the structure so X as to Y the phrase as to is absolutely equivalent to that, since substituting as to with that changes the structure of Y.  Does all this mean that the phrase as to is a great alternative to that (although changing the structure of Y) whenever the sentence is of the form so X, that Y (where X is a combination of one or more adjectives or adverbs)?  I am new here and so I’m not too familiar with the variety of existing tags here, so if anyone sees an additional one that would fit, please add it to this question. I would also be glad to see some other corrections of my grammar. Question regarding the validity of the big bounce I have several questions regarding the "big bounce" theory. It appears to be popular among LQG researchers. My questions are as as follows.  1) How one reconciles it with the fact that it is now experimentally established that the universe is expanding in an accelerating manner?  2) The entropy of the universe should have been very very low (maybe zero) at the time of the big bang/ big bounce. What was the entropy "before" that event? Was it even lower? If it was lower then doesn't that mean entropy decreases indefinitely? On the other hand if we accept the entropy was higher then doesn't that violate the second law of thermodynamics?  3) What observational evidence can confirm pre-bounce physics? According to GR there are some points near the bang/bounce where one simply can't easily define time in a meaningful way. Even for a quantum gravity theory, is it possible for any theory to extrapolate itself "before" the "bounce"? If there are no observational consequences after the bounce shouldn't one apply Occam's razor? I am trying to figure out how I create a downloadable PDF template of a wedding invitation design that my customers can edit themselves. They will be approx 2 fonts used on each template and the customer will need to be able to edit all text themselves.  e.g. change their names, wedding date, location etc. etc.  Basically I want to be able to sell an editable downloadable template.  So I will need to lock the artwork and "open" the text so they can edit the text only.  If you think of something like this image. That has artwork that I want to be uneditable and then has text that I want the customer to be able to edit and print out themselves at home etc. How to know number of cores of a system in Linux? I wanted to find out how many cores my system has, so I searched the same question in Google. I got some commands such as the lscpu command. When I tried this command, it gave me the following result:  $ lscpu Architecture:          x86_64 CPU op-mode(s):        32-bit, 64-bit Byte Order:            Little Endian CPU(s):                4 On-line CPU(s) list:   0-3 Thread(s) per core:    1 Core(s) per socket:    4 Socket(s):             1 NUMA node(s):          1 Vendor ID:             GenuineIntel CPU family:            6 Model:                 23 Stepping:              10 CPU MHz:               1998.000 BogoMIPS:              5302.48 Virtualization:        VT-x L1d cache:             32K L1i cache:             32K L2 cache:              2048K NUMA node0 CPU(s):     0-3   In particular, this output shows:   CPU(s): 4 Core(s) per socket: 4 CPU family: 6   Which of those indicates cores of a Linux system?  Is there any other command to tell the number of cores, or am I assuming it is completely wrong? Ubuntu 20.04 Network Performance Extremely Slow I just upgraded from Ubuntu 18.04 to 20.04 on one of the  machines, and the network performance is abhorrent. Internet speed is very fast from a google speed test (>300Mb/s for both upload and download).     However, whenever I try to browse a website or even run sudo apt update the connection will often time out. My internet is very fast on all other devices and I really don't know how to debug this problem.  sudo lshw -class network -short &amp;&amp; nmcli device status    shows  H/W path           Device           Class          Description ============================================================== /0/100/1c.6/0      wlp2s0           network        Wi-Fi 6 AX200 /3                 br-96f5b790e29e  network        Ethernet interface /4                 br-15e76fb81c05  network        Ethernet interface /5                 docker0          network        Ethernet interface  DEVICE           TYPE      STATE         CONNECTION       wlp2s0           wifi      connected     CSA HQ           br-15e76fb81c05  bridge    connected     br-15e76fb81c05  br-96f5b790e29e  bridge    connected     br-96f5b790e29e  docker0          bridge    connected     docker0          p2p-dev-wlp2s0   wifi-p2p  disconnected  --               lo               loopback  unmanaged     --               gpd0             tun       unmanaged     --                Solution:  It seems like this is a pretty common problem, and one without a definitive cause. For me, it was because Ubuntu resets the TLP configuration, and the power management went back to "on". I disabled Wi-Fi power management directly by editing:  sudo nano /etc/NetworkManager/conf.d/default-wifi-powersave-on.conf   Then changed the value from 3 to 2, saved changes and rebooted.  I actually got this solution from Reddit and this worked for my case specifically but it seems like it could be caused by a bunch of other things. Read all the proposed solutions below! What is the most accurate way to retrieve a user's correct IP address in PHP? Torus and Elliptic curves In a conference on elliptic curves (an introduction to the subject), the speaker said that an elliptic curve (I.e. an equation of the form $y^2=x^3+ax+b $ where the RHS has distinct roots) is, in the complex space, a torus/Riemann surface of genus 1.  What is meant by that? Are we talking about a 2-dimensional manifold the 4D space? Solving 4 Quadratic Simultaneous Equations Consider the equations:   $$\begin{cases} ab+c+d=3\\ bc+d+a=5\\ cd+a+b=2\\ da+c+b=6 \end{cases}$$   Where $a,b,c,d \in \mathbb{R}$. How can we find $a,b,c,d$?   The furthest I've got is by adding the first two equations and the last two equations together to get: $ab+bc+c+d+d+a=(b+1)(a+c)+2d=8$ and $(d+1)(a+c)+2b=8$ We can rearrange these (assuming $b,d \neq -1$) to get $$\frac{8-2d}{b+1}=\frac{8-2b}{d+1} \implies -d^{2}+3d+4=-b^{2}+3b+4$$ Which leads us further to $$b^{2}-d^{2}-3(b-d)=0 \implies (b-d)(b+d-3)=0$$ Now since $b=d$ gives us an absurdity (equations 1 and 4 reduce to 3=6), we must have $b+d=3$. This is as far as I can get unfortunately, since trying the same approach with the other pairs doesn't work in the same way.  Help would be much appreciated; the problem is from the BMO1 2004 paper. I have come across a question about determining possible minimal polynomials for a rank one linear operator and I am wondering if I am using the correct proof method.  I think that the facts needed to solve this problem come from the section on Nilpotent operators from Hoffman and Kunze's "Linear Algebra".     Question: Let $V$ be a vector space of dimension $n$ over the field $F$ and consider a linear operator $T$ on $V$ such that $\mathrm{rank}(T) = 1$.  List all possible minimal polynomials for $T$.   Sketch of Proof:   If $T$ is nilpotent then the minimal polynomial of $T$ is $x^k$ for some $k\leq n$.  So suppose $T$ is not nilpotent, then we can argue that $T$ is diagonalizable based on the fact that $T$ must have one nonzero eigenvalue otherwise it would be nilpotent (I am leaving details of the proof of diagonalization but it is the observation that the characteristic space of the nonzero eigenvalue is the range of T and has dimension $1$).  Thus the minimal polynomial of $T$ is just a linear term $x-c$.    Did I make a mistake assuming that $T$ can have only one nonzero eigenvalue?  Thanks for your help This copy of the Install OS X El Capitan application can't be verified. It may have been corrupted or tampered with during downloading Macbook Pro 13" 2015 with OS X Yosemite on board. I've been trying to install OS X El Capitan, but always get the following message:  "This copy of the Install OS X El Capitan application can't be verified. It may have been corrupted or tampered with during downloading."  By the way this is not a date time issue, date is correct on my computer.    How can I fix this? Who knows the solution, please help.