Almost everywhere convergence does not imply uniform convergence.
Sequence of sets $f_n$ that converge almost everywhere to $f$ but not almost uniformly to $f$?
Blender build for Raspberry Pi3? Children's book with "square triangles" in parallel universe? In the 1960s I read book--an older children's book, I think--which I loved, and still remember, roughly.  I have no idea what the title is or who the author is, and I'm wondering if anyone knows this one:  Scientists had invented a device which they didn't fully understand, and which had puzzling effects.  For example, when a pencil was put into the machine, it disappeared, and then reappeared inside out: The lead was on the outside.  When people went into the machine, they came back dead, having died from fright.  Finally they sent a very open-minded person into the machine.  She was an artist, I think.  She was able to return alive, and described an alternate universe in which geometry was very different.  I distinctly remember that there were supposedly square triangles or four-sided triangles--or was it three-sided squares?  (This is, of course, a literally contradictory claim, but I didn't see the matter as clearly then.)  Thanks! Could someone please explain the role of the transistor in this circuit? I have a feeling it has to do with the LC circuit but I'm not sure and don't understand completely. The following is an image of the circuit (the transistor is n-type. It is used in lots of sensors to detect and generate ultrasonic waves. I have recently found an argument against disabling a root user login in Linux at   I assume that, if everybody uses a public key authentication, there's no risk at losing the root password.  Is it always better to disable the root login via ssh? I am starting to learn some Regex, therefore I use this command repeatedly:  grep pattern /usr/share/dict/american-english    Only the part with pattern changes, so I have to write the long expression "/usr/share/dict/american-english" again and again.   Someone made the remark that it is possible to expand an argument of a command from the command history by typing cryptic character combinations instead of the full expression.  Could you tell me those cryptic character combinations ? I read this quite a while back, part of my parents library (they're in their 50s now) I think the book was probably published in the 70s or 80s, my copy was paperback. I don't recall the cover art, but I have vague recollections of a satellite on the cover and maybe blue with grid-lines below it?  I've made concerted efforts to find it again but to no avail. My parents don't remember it either, but mum's an avowed book-aholic and buys a lot of books, reads them once and forgets about them, so that's not so surprising.  The key parts I remember:   Both the Soviets and Americans were working on psychic techniques and technologies, with real and tangible results including Remote Viewing. MK-ULTRA was explicitly namedropped in relation to the American psychic program. The Soviets and Americans both had orbiting superweapons, One was a microwave laser (or something very similar) and the other used slivers of the brains of psychics to blow people's brains up in a wide area. A super-psychic (male) took offence to the state of the cold-war and took control over the orbital weapons by manipulating the onboard computers psychically. There's a gruesome description of a psychic weapon being tested on monkeys in a lab, the POV character throws up afterwards in horror. I think there might have been more than one POV character. There's an extended description of the psychic orbital weapon as experienced by people in its area of effect. Similar to the monkeys, it builds up, starting with alzheimer-esque hand-shaking and building up to seizures and screaming before their brain liquifies fully and either comes out the nose and ears or outright blows the skull open. (this is one of the more vivid recollections I have of the book) I remember that the super-psychic was working wholly alone and did most of his psychic stuff from motels halfway around the world from events. I believe the super-psychic also killed other psychics explicitly. The weapon satellites had code-names Both weapons were used on cities in the course of the story I vaguely recall an office building getting targeted specifically at one point. Suppose $X$ is binomial $B(n,p)$. How can I find the probability that $X$ is even ?  I know $$P(X = k ) = \frac{ n!}{(n-k)!k!} p^k(1-p)^{n-k} $$  where $X=1,....,n$. Are they just asking to find $P(X = 2m )$ for some $m &gt; 0$ ? Generate a log of all the installs on a system (whether apt-get/yum/pip/npm/...) Oracle: Inserting into table error - either duplicate column name or invalid datatype I'm trying to insert data from an external table. INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct        (construct_id,       n_term ,       enz_name,       c_term,       cpp,       mutations,       mw_kda) SELECT *     FROM EXTERNAL ((       construct_id NUMBER(10),       n_term VARCHAR2 (50),       enz_name VARCHAR2 (50),       c_term VARCHAR2 (50),       cpp VARCHAR2 (50),       mutations VARCHAR2 (50),       mw_kda NUMBER (7,3))      TYPE ORACLE_LOADER     DEFAULT DIRECTORY data_to_input     ACCESS PARAMETERS (         RECORDS DELIMITED BY NEWLINE         SKIP 1         BADFILE bad_files:'badflie_insert_into_construct_from_construct.bad'         FIELDS TERMINATED BY ',' OPTIONALLY ENCLOSED BY '&quot;'         MISSING FIELD VALUES ARE NULL          )      LOCATION ('CONSTRUCT.CSV')     REJECT LIMIT UNLIMITED) ext          WHERE NOT EXISTS (         SELECT * FROM construct c         WHERE c.n_term = ext.n_term         AND c.enz_name = ext.enz_name         AND c.c_term = ext.c_term         AND c.cpp = ext.cpp         AND c.mutations = ext.mutations     );  But now i get this error: Error at Command Line : 171 Column : 7 Error report - SQL Error: ORA-00957: duplicate column name 00957. 00000 -  &quot;duplicate column name&quot;  Line 171 is the last line of this part INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct        (construct_id,       n_term ,       enz_name,       c_term,       cpp,       mutations,       mw_kda)  Which is clearly not a duplicate column. If I do: INSERT /*+ ignore_row_on_dupkey_index ( consruct ( construct_id ) ) */ INTO construct      (construct_id,      n_term,      enz_name,      c_term,      cpp,      mutations,      mw_kda) SELECT *     FROM EXTERNAL ((       ext.construct_id NUMBER (10),       ext.n_term VARCHAR2 (50),       ext.enz_name VARCHAR2 (50),       ext.c_term VARCHAR2 (50),       ext.cpp VARCHAR2 (50),       ext.mutations VARCHAR2 (50),       ext.mw_kda NUMBER (7,3))      TYPE ORACLE_LOADER     DEFAULT DIRECTORY data_to_input     ACCESS PARAMETERS (         RECORDS DELIMITED BY NEWLINE         SKIP 1         BADFILE bad_files:'badflie_insert_into_construct_from_construct.bad'         FIELDS TERMINATED BY ',' OPTIONALLY ENCLOSED BY '&quot;'         MISSING FIELD VALUES ARE NULL          )      LOCATION ('CONSTRUCT.CSV')     REJECT LIMIT UNLIMITED) ext          WHERE NOT EXISTS (         SELECT * FROM construct c         WHERE c.n_term = ext.n_term         AND c.enz_name = ext.enz_name         AND c.c_term = ext.c_term         AND c.cpp = ext.cpp         AND c.mutations = ext.mutations     );  I get Error at Command Line : 174 Column : 10 Error report - SQL Error: ORA-00902: invalid datatype 00902. 00000 -  &quot;invalid datatype&quot;  Line 171 is ext.construct_id NUMBER (10), Let $A$ be the following subset of $\mathbb{R}^{2}$:$$A=\{(x,y):(x+1)^{2}+y^{2}\leq 1\}\cup\{(x,y):y=x\sin(\frac{1}{x}),x&gt;0\}$$ Then  $1.$ $A$ is connected.  $2.$ $A$ is compact.  $3.$ $A$ is path connected.  $4.$ $A$ is bounded.  It is clear that $A$ is unbounded as the graph of $x\sin(\frac{1}{x})$, so option $2$nd and $4$th are not correct. Again $A$ is connected by using the fact that closure of connected set is connected. But i am confused about path connectedness of $A$. Please help me about path connectedness of $A.$ Thanking you. $\exp(A)$ is orthogonal iff $A$ is skew symmetric Let $A \in M_n(\mathbb R)$ and $\exp(A)=\sum_{i=0}^{\infty}\frac{A^i}{i!}$. How to prove $\exp(A)$ is an orthogonal matrix iff $A^t=-A$?  I can get that $\exp(A)$ is an orthogonal matrix iff $\exp(A^t)=\exp(-A)$, but how to get $A^t=-A$ from it?  What's more, is $\exp(A)$ injective or not? If no exact time (such as 15:00 or 21:00) is specified about the deadline and only the date itself is given, does that mean that the Deadline date is inclusive or exclusive?  For example, if the deadline for my Research Project is 10th October (no other exact times are specified) does that mean that I can turn it in on 10th October before it turns into 11th October? Or should I submit it on 9th October before it turns into 10th? How is the equation of motion on an ellipse derived? What is the unit of the coordinate system in PSTricks? If I use the following code, there two different kinds of units. One for the coordinate system used to declare \begin{pspicture} with (0,0) to (20,10), and the centimeter used in 4.2cm.  \begin{pspicture}(0,0)(20,10) \rput[lt](0.5,9){\psframebox[linewidth=1pt,framearc=0]{\parbox[c]{4.2cm}{\raggedright Text Goes Here...}}} \end{pspicture}   Can I use a unified dimension for both PSTricks objects and \parbox? Characterization convex function. Prevent Word from Including Bullet Letter when Copying Text I'm copying quite a bit of text from Word into a text-based application, line by line.  The word text is structured like this:        Topic      a. Item A      b. Item B      When I highlight Item A, copy, and then paste into the text-based application, I get a.    Item A rather than just Item A as desired.  How can I prevent Word from including the bullet letter when copying? The difference between two periodic functions converges to zero, is this two functions identical? SSH in shell script with password Do strong and weak interactions have classical force fields as their limits? Electromagnetic interaction has classical electromagnetism as its classical limit. Is it possible to similarly describe strong and weak interactions classically? Evenly spaced menu items on Toolbar