I am working on my own way of concealing information in a way that is secure and easy, so i have started studying numbers and here is what i have discovered so far. int binary reversed binary palindrome 0 0000 0 0000 0 0000 1 0001 8 1000 9 1001 2 0010 4 ...

Problem; Let $a,b,c$ be positivce reals, such that $a+b+c=3$, show that $$ \frac{1}{\sqrt{a^2+b^2}}+\frac{1}{\sqrt{b^2+c^2}}+\frac{1}{\sqrt{c^2+a^2}}\leq \frac{3\sqrt{2}}{ab+bc+ac}+\frac{1}{\sqrt{2}}. $$ My attempt I noticed that $$ q_{o}=\sum_{cyc}\sqrt{a^2+b^2}\cdotp\sqrt{b^2+c^2}\overset{\tex...

I have an old audio CD in a folder in my PC and I want to transfer to MP3 or any way I can extract the audio. This is what I have: What is the best way to RIP this to convert it? I tried mounting as a DVD but it didn't help.

In the value investing strategy of Warren Buffett, Benjamin Graham, etc. an investor is searching for stocks that are reasonably priced considering the value of the company as a whole. You are buying a business, not just a stock. When following this strategy, a question comes to mind... If th...

[Title "gxh3?"] [fen "r3k3/1p2q1pN/p1n4p/3p1r2/4p3/2P4b/P1PQ1PP1/R1B1R1K1 w - - 0 1"] In this position, I played gxh3? which is a mistake according to chess.com and 'misses a tactical way to capture a bishop'. Can people explain why?

Hello! I'm a super beginner in blender... I like to render my animation with solid mode because it looks better than other viewport shading. How can I do that? You can see it's darker when I'm trying to render it. Is it really possible?

I have Ubuntu installed as a dual boot along with Windows 11. I also installed Thunderbird for email. The dates in Thunderbird show as mm.dd.yyyy I would like to see dd.mm.yyyy, which at least to me is more logical. The date in the desktop clock is Feb 16 12:46. I have searched high and low for...

the problem Find the strictly increasing sequence of natural numbers $(a_n)_n, n\geq 1$ such that $\frac{a_1}{2!}+...+\frac{a_n}{(n+1)!}=1-\frac{1}{a_1 \cdot a_2 \cdot ...\cdot a_{n+1}}$ for any nonzero natural number $n$. my idea So my plan was to give values to n and find some kind of rule that...

I have calculated the parameters for the transformer I need to build, but I am having trouble with the implementation. Since this is the first transformer I am designing and building myself, I don’t have much experience. My problem is that the primary winding has 4 turns (while the secondary has ...

I am a metalpoint artist (a Renaissance technique in which one draws with a metal nib, most often silver), not by any stretch a chemist. Copper is among the many metals (any metal MHS 3 or less) that one can draw with on a specially prepared surface. It leaves a warm grey mark. The problem wit...

The alien eventually produces a creature that the human kills, only to discover at the end of the story that it was their baby

I am looking for a way resize all numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in math mode that does not require neither XeTex nor LuaTex. All other math symbols should keep their current size. My goal, specifically, is to make them slightly larger than they are. Is there a way to do what I need?

Mathematica has successfully computed this integral: $$\int_0^{\infty}\int_0^\infty{}dqdl(c+(q+l)^2)^{-s}$$ assuming $s>2,c>0$. The integrand comes from a first order approximation of Bessel zeros, using the second order approximation I want to evaluate $$\int_0^{\infty}\int_0^\infty{}dqdl(c+(q+l...

My problem is that outliers are not drawn in my PGFPlots boxplots. In my research, I only found posts about removing outliers, but I want the opposite. What is the problem here? I'm thankful for any help. MWE: (Sorry for not being that minimal, but I need to include an example dataset.) \documen...

This question might have an easy answer, since it occurred to me only recently and I haven't given it ages of thought. We all applaud Eratosthenes for his brilliance in realizing that, by comparing the angles of incidence of solar rays at two different places at noon on the same day of the year, ...

I've seen questions similar to mine being asked before but every solution appears to be a "hack" that is likely to fail shortly after installation. I'm hoping that someone knows of an "industry approved" solution that has eluded me so far. The goal is to have a ventless natural gas fireplace wit...

Let $K$ be a number field and let $M_K$ be a complete set of pairwise inequivalent nontrivial absolute values on $K$. Given $|\cdot |_v \in M_K$, is there an element $\alpha \in K$ such that $|\alpha|_v > 1$, but $|\alpha|_w \leq 1$ for any other $|\cdot|_w \in M_K$? This is the case for $K = \ma...

The Fourteenth Amendment to the U.S. Constitution states that "All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside." This has traditionally been interpreted to grant automatic birthri...

I have found the follow problem, which asks to show that given rings R,S and a right R module M, R-S Bimodule N, and left S module P that $(M \otimes_R N) \otimes_S P \cong M \otimes_R (N \otimes_S P)$. I understand why this makes sense, i.e why the two individual tensors are right S and left R m...

Let $A\subset\mathbb{R}^n$ be a Borel measurable subset, then a classical result in descriptive set theory says that $A$ is either countable, or contains a Cantor subset $C$ (i.e. a subset homeomorphic to the Cantor set obtained from repeatedly deleting the middle thirds of [0,1]). My question i...

I am trying to develop a concept for a biological drone. They should include the two following characteristics or archetypes: Reanimated corpses like a Zombie Drone-like beings such as the Borg in Star Trek. But instead of Nano-Probes, they use spores of a micro-organism to reproduce and "assimilate

For years I have produced heatmaps in latex documents by using tabular environments with custom column types. A simple example is this: \documentclass[10pt]{article} \usepackage{colortbl} \usepackage{collcell} \usepackage{fp} \begin{document} % Heatmap table defs \ExplSyntaxOn \cs_n...

I wonder if we have the following: Suppose $\int_0^1 f_n(x)dx \rightarrow 0$, where $dx$ is the usual Borel measure. Then for any absolutely continuous and monotone increasing function $F(x)$, do we still have $$\int_0^1 f_n(x)dF \rightarrow 0$$ Thanks a lot in advance!!

Does "May it never be!" or "May it never become (literal Greek)" mean it's just not acceptable but it's okay if do (as in the "once saved always saved" tradition), or did Paul mean literally we cannot continue in sin? What shall we say then? Shall we continue in sin, that grace may abound? May i...

Can every problem $ A \in P $ be reduced to any other problem $ B \in P $? If so, does that mean all problems in $ P $ have the same level of difficulty? Does this also hold for other complexity classes, for example $NP$ without $NP-complete$?

Let $\mathbf{F}$ be an arbitrary field. Given $k$ vectors $\mathbf{v}_1, \ldots, \mathbf{v}_k \in \mathbf{F}^n$, write $\operatorname{Col}(\mathbf{v}_1, \ldots, \mathbf{v}_k)$ for the $n \times k$ matrix that has $\mathbf{v}_1, \ldots, \mathbf{v}_k$ as columns from left to right. It's straightfor...

I was a masters student and was doing my masters thesis in a research group and the professor used to pay me as research assistant (I worked there for 8 months). I was supposed to do PhD after that but I didnot and left that lab (Needless to say it didnot end up in a good way).Things got bitter t...

On our birthday we got a present from one of our guests, but we lost the instruction booklet that came with it. Could someone please advice which Lego set we are dealing with here? We are trying to identify which booklet to find, so we can build this LEGO set.

I am a teacher of English. Some of my collegues tell students that they are going to give them a 'practical work' meaning 'an assignment' for them to do at home. I don´t agree with this. It sounds ackward. Am I right? It seems to me that 'practical work' has to do the kin d of work you do with yo...

In my grandmother's family history in Galicia, I have seen a Yiddish name being used by quite a few women - Breindl. My question is what is the Jewish origin of the use of this name and what does it mean? This is related to Judaism as a number of women in the family had Breindl as their Shem Kode...

I am trying to run some optimal portfolio applications (academic use) to illustrate the theory to students. I am running in some sort of trouble acquiring the data via Mathematica's FinancialData. I will simplify the problem so that I focus on the issue. The problems seem to happen all in the ...

I've been looking for an answer, but no luck so far finding it. It's about windings, and it's effect on HF. 49:1 UNUN transformer. What will happen if we keep the ratio 49:1 and increase the number of windings. Let us say 3 primary and 21 total. What will increasing number of winding do and what ...

In addition to questions related to stative verb differences like this one and this one, I sometimes come across intransitive verbs that seem to mean the exact thing as the passive version of the transitive-counterpart. It seems "x is planted" can both be represented with 植わっている and 植えられている. *(my...

I found a parametrization of a thickened trefoil knot surface using the TNB frame (similar procedure to trefoil knot surface parametrization), and sampled points on the surface to form a simplicial complex. To be clear, I am referring to the surface formed by building a tube around the trefoil kn...

I'm a postdoc in computational engineering with heavy use of machine learning (ML) techniques. I have a lot of freedom in choosing what I work on. I read literature broadly, explore a lot, and as a result, I generate a lot of research ideas. My ideas are novel solutions, but the issue is that I f...

I am trying to identify an Asian romantic movie that uses the concept of expiration dates. I saw a teaser on a Mubi ad placed on YouTube. Here's a screenshot:

Given that: Light of higher frequency carries more energy Time dilates in the presence of energy, and moreso in the presence of more energy Motion in a more time-dilated space appears slower to a distant observer in less time-dilated space Does light then appear to a distant observer to trav...

Mark 16:15 KJV And he said unto them, Go ye into all the world, and preach the gospel to every creature. Why specifically creature and not just all humans?

This includes: just a email to self introduce / self recommended oneself even request a meeting I got mix comments on this question. So I would like to know your thoughts on this, assuming that we are well-prepared to contact, not just sending a lot emails changing from a template. Pros: this ...

1. Vectors as Derivations in Differential Geometry In the context of smooth manifolds, a tangent vector at a point $ p $ is defined as a derivation—that is, a linear operator $ X_p $ that acts on smooth functions $ f $as: $$ X_p(f) = X^i \frac{\partial f}{\partial x^i} \Big|_p. $$ This naturally ...

I want to be able to do what bsurface did here while still in solid mode. I thought it wasn't possible in solid mode but bsurface did what I wanted to do which is to set xray mode on individual objects(like in maya and zbrush). I know about the viewport display>wire but I'm looking for xray if i...

Should I think of a simulation as akin to an experiment, or as akin to a deductive proof? I take it it can't be akin to both, since the two things are used for very different kinds of claim! We'd look strangely at someone who claimed to be able to prove 2+2=4 by simulation wouldn't we? Or who tho...

I'm traveling British Airways Club Europe from London Heathrow T3, I don't have any frequent flyer status. I know I have access to BA lounge, but do I also have access to other Oneworld lounges? I would really like to visit Qantas and Cathay Pacific lounges as they have more to offer than BA. On ...

It seems very common for people to put forward the most sympathetic and/or complex examples from a class, even when the features that make them sympathetic or complex examples don't generalise across the class. What is the standard label for these arguments? To pull somewhat stereotyped illustrat...

I have a population of $N$ individuals. Each individual has a property called $X$. It is possible that for the same individual, the value of $X$ can change from measurement to measurement. I am interested in finding out the average value of $X$ for the population. I have two options. Option 1:...

The question, is: Is the term “Lord” in Matt. 21:1-3 a generic use, or is there something richer behind it's usage? Is there an allusion to Ex. 22:1-15? Here are the particulars that have lead me to ask this question: Ahead of sending two of His disciples, Christ shows an awareness of a donkey a...

I currently control 4 Forests, a Dungrove Elder (thus sitting at power and toughness 4/4), and no other lands or creatures or any buffs affecting the Dungrove Elder. I then play Entish Restoration. Does the Dungrove Elder allow me to find and pull 3 basic lands, since it sits at power 4 before En...

I have Mages that have very fine telekinesis. They want to become physically stronger but they're very lazy. After racking their brains, they came up with a solution that kills two birds with one stone. Their solution is to lie down and use their telekinesis to create micro tears in their muscles...

I have a file that is in mail.vim and has the following executable commands: augroup autocom autocmd! "executes the command on quit "autocmd VimLeave /tmp/mutt-* !/usr/bin/email-process % "execute the command on write autocmd BufWritePost /tmp/mutt-* !/usr/bin/email-process % ...

Let $\pi_1$ be the etale fundamental group of a scheme. If we have a morphism of schemes $X \to Y$ do we get an induced map $\pi_1(X) \to \pi_1(Y)$? I was thinking about the inverse limit of finite etale cover definition of the fundamental group. It seems to be that given an etale cover of $Y$ I ...

Suppose that I have a reverse proxy such as caddy or Traefik that requires a client certificate to authenticate via mTLS, globally across reverse proxy. What is the attack surface for services behind this proxy exposed publicly? The handshake fails right from the beginning if the client doesn’t h...

I was running a coupled-cluster calculation on a neutral oxygen atom (O) using the CFOUR-MRCC interface with a UHF reference. The following is the input ZMAT file for CFOUR: TITLE O *ACES2(CALC=CCSDT #FROZEN_CORE=ON #DROPMO=1 INPUT_MRCC=OFF CC_PROG=MRCC XFORM_TOL=18 SAVE_INTS=ON SCF_EXPORDER=6 S...

The key equation for the evolution of perturbations in an expanding universe (in Fourier space) is given by $$\ddot{\delta}_{\mathbf{k}}+2H\dot{\delta}_{\mathbf{k}}+\left(\frac{c_s^2 k^2}{a^2}-4\pi G\varepsilon_0\right)\delta_{\mathbf{k}}=0$$ where $H\equiv \dot{a}/a$, and $\varepsilon_0$ is the ...

This question may seem off topic, and feel free to express that, but first let me say why I think it belongs here. Every so often there are articles in mainstream newspapers, and also in popular science magazines such as Quanta, about recent developments in mathematics. This phenomenon plays some...

I believe there is a Latinate term that means 'pertaining to a niece', similar to materteral, avuncular, or nepotal. However, I have been unable to find what exactly that word is. Example sentence: She has a _______ relationship with him.

Okay so currently I am trying to make these tubes go around in a circle like manor, however I am looking at this and I cannot seem to get my tube to show up when I'm doing object offset, I have tried looking up the answer, tutorials on arrays, parenting the object, following the path of the objec...

A single physical interface has multiple sub-interfaces (VLAN interfaces). These sub-interfaces are configured with IP addresses and OSPF. The MTU of the physical interface has been increased, but the MTU of the VLAN interfaces has not been changed. The MTU remained unchanged when I checked the O...

Here is a new retrograde chess puzzle based round a new idea. In the position below, White’s 9th move was an en passant capture. Can either player still castle? (10+9) FEN: r2qk1n1/ppppp2P/P4P2/8/8/3PP3/4PPP1/4K2R Please provide your reasoning in your answer. Have fun! :-)

Electrician did a beautiful job arranging electric panel logically and intuitively like the layout of our unit. But if one breaker (2/4) is tripped it will turn off all power and lights to the upper level (breaker had to be combined due to lack of a neutral wire). If another breaker (6) is trip...

I’d like to fix, but also understand the following error. (The document compiles when I go to scroll-mode, and generates the wheelchart.) (./Feb-15-wheel-cal-fro-teach (minex1).aux) ./Feb-15-wheel-cal-fro-teach (minex1).tex:37: Undefined control sequence. \pgfkeyscurrentkey ->\WCvarB l.37 } I t...

So, in my particular LARP, currently there is a character who is an ancient evil entity (Archdevil). We (the game designers) want to make him intimidating, but aside from mechanical buffs (which we've decided to shy away from mostly) there's not many ways to do this. To contextualize this, we hav...

So, I saw a reference to a Vampire the Masquerade exploit involving the manipulation of subatomic particles in the comments of this Explain XKCD page that in turn links to this TVTropes page for Vampire the Masquerade. Quoting that page: But perhaps the biggest game breaker, is the Tremere's Pat...

How do upstairs and downstairs indices interact with differentiation in tensor calculus? I'm trying to understand how differentiation works when dealing with both contravariant and covariant indices. Specifically, I want to compute: $$ \frac{\partial (x^\mu x_\mu)}{\partial x^\nu} $$ But I can ex...

In this tool, If we set the quantity of all capacitors to zero and retain only the "plane capacitance" and "power supply" field values, the impedance plot exhibits a single sharp peak. This peak occurs at the resonant frequency determined by the interaction between the power plane inductance and ...

I think this was a short story in an anthology which I read in the 1980s or 1990s. Possibly some resistance holding on underground.

Two weeks ago my kitchen sink got blocked. I have put unblocker gel down, taken off and cleaned the trap, put gel down the waste pipe, and used a snake down the waste pipe about 1.5m. But after this it still blocks and after 1L of water the water comes in the sink and takes about 10 min. to drain...

It is necessary that the cube on the left rotates exactly the same as the cube on the right, and at the same time remains in place, as if repeating it.

The situation: I maintain a Web site. I was working with a local copy of one of the site’s pages and a local copy of the CSS stylesheet file that is used by that page (the CSS stylesheet is used by more than one page on the site.) I edited the stylesheet to specify custom left and right margins f...

Alice decides to write her mathematics-loving girlfriend some cute maths in her valentine's day card: $$\frac{i!}{u!(i-u)!}$$ She gives the card to her girlfriend. After reading the equation, her girlfriend begins to cry and runs off. Explain what happened. (My first time posting something, so a...

While I was in elementary school a teacher mentioned having played with an orange LEGO garbage truck, like they are common in Germany. I heard this story around 1998, so this set must have come out before that. When I heard this story I was skeptical, as I could not recall having seen opaque oran...

Inside an align environment, I've got two similar equations where some vertical-aligned terms have a common meaning. To underline this fact, I would like to put a curly brace with some text under the term of the second equation. This is easily done with \underbrace{term}_{text} for instance. Out ...

When I ran the code the resulting stabilizer doesn't look right, it outputs: $S = \langle I_2I_1X_0, I_2Z_1I_0, Z_2Z_1X_0\rangle$ Instead of : $S = \langle I_2I_1X_0, X_2X_1I_0, Z_2Z_1X_0\rangle$. $|\psi\rangle = \frac{1}{2}(|000\rangle)+|001\rangle+|110\rangle + |111\rangle)$ $Z_1|\psi\rangle=\f...

I have a curiosity about this calculus problem.The problem is the following: Let 𝑓 be a continuous function on the interval [0,1], and suppose that for all continuous functions 𝑔 on the interval [0,1], the following condition holds: $$\int_0^1𝑓(𝑥)𝑔(𝑥) 𝑑𝑥=\int_0^12𝑔(𝑥)𝑑𝑥$$ Find all pos...

Hi, i want to upgrade CIVICRM vom Version 5.17.3 to 5.81.1 but after some minutes i get this DB error: [Error: Set defaults and required on financial type boolean fields] Error Field Error Value Type DB_Error Code -1 Message DB Error: unknown error Mode 16 UserInfo ALTER TABLE civicrm...

Using Content Hub 4.1.0 I have downloaded the list of users from Manage > Users. For each user, the UserGroupConfiguration column has values like this: {"combine_method":"Any","user_group_ids":[4],"children":[{"combine_method":"All","user_group_ids":[32512,32496],"children":[]}]} Along with ID...

I have the following SQL which outputs a nicely formatted list of the sizes of all the tables in a database: SELECT schema_name, relname, pg_size_pretty(table_size) AS size FROM ( SELECT pg_catalog.pg_namespace.nspname AS schema_name, relname, pg_...

I am reading "Topology Second Edition" by James R. Munkres. Theorem 19.6. Let $f:A\to\prod_{\alpha\in J} X_\alpha$ be given by the equation $$f(a) = (f_{\alpha}(a))_{\alpha\in J},$$ where $f_\alpha : A\to X_\alpha$ for each $\alpha$. Let $\prod X_\alpha$ have the product topology. Then the func...

I am looking for a way to make all numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) in math mode bold. Ideally, whatever way I end up using should not require neither XeTex nor LuaTex. All other math symbols should keep their current font style. Is there a way to do what I need?

Due to several constraints that I can't write them all here, I need a linear regulator circuit design to convert a 144 VDC supply to 5 V with a very low current. I've searching for a day and what I found is I can only use a series resistor to decrease the input voltage. If someone has a better so...

I am currently using a more complex table with the multirow package, given by the following example: \documentclass[a4paper]{article} \usepackage{multirow} \begin{document} \begin{tabular}{ccc||c|c|c|c} \hline \multicolumn{3}{l||}{Column 1} & \multicolumn{1}{l|}{Column 2} & Column 3 & \...

Simplification functions are usually able to reduce Piecewise to a simple expression when the conditions are not necessary, for example: Piecewise[{{0, x == 0}}, x y] (* Piecewise[{{0, x == 0}}, x y] *) Simplify[%] (* x y *) However, I have more complicated expressions, and the same simplificat...

In continuation of post Using the thermal camera method was able to locate the SMD components causing the short (U11). Identifying it is a different challenge because the marking at burnt off, any suggestions?

Don't know if it's may be better to post in a physics section (if it does exists). Essentially a continuation of Reducing Residual Magnetism in Electromagnets I'm driving a cheap (Delta) solenoid actuator with a simple low side switch and recirculation diode. It doesn't need to be too fast, it's ...

According to simple Google search: When an electron is in superposition, its different states can be thought of as separate outcomes, each with a particular probability of being observed. An electron might be said to be in a superposition of two different velocities or in two places at once. I ...

I am using bash, version: GNU bash, version 5.1.16(1)-release (x86_64-pc-linux-gnu) I made a following script: #!/usr/bin/bash a=11 b=4 c=7+b if [[ a -eq c ]] then echo "ok" else echo "not ok" fi It prints "ok". When I change a to 10, it prints "not ok". So I have a simple question, ...

Is using free gradients as backgrounds for users to generate images on my website legal? Example: User selects a background option (a gradient background), enters text and can download the/an image that has the gradient background with text on it. Note: the image will also have my watermark on i...

The bearings in my rear hub (Giant OCR Zero with a Shimano hub) are quite worn out and need replacing. I took the hub apart to get the bearing size expecting them to be cartridge style bearings but they were the loose/cup-and-cone kind instead with each individual ball being removable. I took one...

I am trying to make a figure showing the structures of several cyanobacterial non-ribosomal peptides with MolView. Several of these contain rings, and the predicted structure of these rings differs markedly from the structures shown in papers. E.g., in Welker & Von Doehren (2006) the structure of...

I'm asking this because when I asked the Mistral language model to provide source code for a PRNG based on stream/block ciphers, it provided an option to use a key and a IV in the code.

If I want to hedge asset A and therefore regress its log returns on one or multiple other assets, then the resulting betas give me portfolio weights with which I can (hopefully) replicate the returns of asset A. In the regression model should I be fitting the intercept? Generally speaking I often...

In Oppenheimer, at the Atomic Energy Commission hearing, Kitty was interrogated by Prosecutor Robb about her possible Communist Party membership. Her response to the query about the possession of a membership card was marked by uncertainty: Robb: I mean, presumably, the act of joining the Party ...

Explain how the figure below was created. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ...

What are the rules for my spouse travelling with me in the EU? We want to sail in the Baltic & Mediterranean for a year or more. Will my spouse be allowed to join me full time?

I compared quite a lot of recordings on Youtube of a piece called La d'Héricourt, 2nd piece of pièces de clavecin of Balbastre. In measure 7 and 8 there are some appoggiaturas. From what I hear is that all appoggiatura's are played rather short, and never taking a half or 2/3 of the main note. ...

I was reading the history of the 13th Amendment. After creating the Emancipation Proclamation, Abraham Lincoln realized that he would need to amend the Constitution to truly end slavery. His attempts to change the Constitution were ultimately successful, as the House passed the bill in January 18...

A snake is defined as a path around a two dimensional grid which touches each square exactly once by repeatedly moving one up/down/left/right, starting at the square (0, 0). Below is an example of one snake of a 3x4 grid: 0 1 2 3 7 6 5 4 8 9 10 11 For any positive integer N, there are N s...

Many graduate programs in German universities have no restrictions on the number of enrolled students, i.e. admission is guaranteed if you meet the academic prerequisites to enroll. Twice now I've experienced that departments will not even consider your application if you do meet the requirements...

Aside from my main job, I’ve been tutoring a couple of students online and regularly receiving payments from them via Western Union, as they live in a different country. A couple of weeks ago, a transfer sent to me was automatically returned to the sender when I tried to collect it in cash at a W...

In the following 14 layer PCB, there is a flip chip assembly for one of the chips, the chips is very fine pitch around 200 um: Considering that in flip-chip assembly, the heating process occurs from the bottom layer, I want to evaluate whether removing the copper pour beneath the chip would enha...

I wanted to instance points on the center of each mesh island and the point to have the normal of the mesh island it is instanced on. Since the addition of the for-each I would assume this is doable but couldn't figure out how.

I am writing my Master's thesis in physics as a correction to some calculations done in an article written in the 80's. In this mentioned article, they make a key wrong assumption in the way something should be calculated. In this Thesis, I study the same set up with the correct assumption. How d...

Line 1: Beatles drummer Ringo (5) anchors that absorb water/nutrients (5) Air Force base in Nebraska (6) U.S. state with 8 bordering states (9) Spanish tennis star David (6) elliptical life containers (4) river in Alan Jackson's hit (13) Line 2: Paul's letter to Thessalonica, abbrev. (5) Bella (n...

I have 2 Windows 11 PCs on my desktop, both running Dropbox. Today I connected them with a 1 meter Cat 6 ethernet cable. I enabled LAN Sync on Dropbox on both computers. I then turned off my wifi hotspot and added a document to Dropbox on one of the computers. It did NOT sync to the other compute...

I need to repeat this bitmap drawing as accurately as possible. Here is the code of what I managed to do \documentclass[tikz,border=5pt]{standalone} \usepackage[utf8]{inputenc} \usepackage[russian]{babel} \usepackage{tikz} \usetikzlibrary{arrows.meta,decorations.pathmorphing,calc} \begin{documen...

Trying to work out the story of the screen

All the sources I've seen translate "De gustibus non est disputandum." as "In matters of taste, there is no dispute." It's been a LONG time since I studied Latin, but isn't "disputandum" the gerundive form? That is, wouldn't a better translation be "In matters of taste, there is no disputing."? ...

So I came across this term in a grammar book. I had to choose between two options le and un. The answer to the exercise says un is correct. the sentence was this: J’ai mal à (un/le) pied depuis que j’ai couru le marathon de Paris. Can someone help me with that please?

I have shown that an almost simple group has a non-abelian simple socle, and that a finite group with a non-abelian simple socle is almost simple, but is this true for infinite groups? To prove that a finite group with a non-abelian simple socle is almost simple, I used the argument in this quest...

I was recently on a reason commuting to my place of work when I was asked by a ticket inspector to present my ticket. As he was finished, I put my feet up on the seat next to my own (As I barely fit into the seat). The inspector then threatened to give me a penalty fare should I not move my legs/...

Failure to compile arises only with the combination of \endnote{.} and version B of the url. Is there a way to resolve that error? tex \documentclass{article} \usepackage{hyperref,lipsum, enotez} \begin{document} \lipsum[1] \endnote{% % \url{https://hudoc.echr.coe.int/} % A \url{https://hud...

The usual interpretation of Psalm 82 is it describes a scene in the heavenly courtroom where God is condemning gods in the divine council for failing to judge correctly: 1 God has taken his place in the divine council; in the midst of the gods he holds judgment: 2 “How long will you judge unjust...

Prove that the equality, 1/a+ 1/b + 1/c + 1/d + 1/e + 1/f = 1 has no solutions in odd natural numbers. P.S. I think what it means is that if a, b, c, d, e and f are all odd natural numbers then the above equation cannot be true. From the excellent book, Mathematical circles Russian experience

This is a motor from a plug-in timer (220V AC 50Hz). The device was working when put to storage a couple of years ago. It does not work anymore after being retrieved from storage. Testing with a multimeter showed that mains was correctly connected and no internal fault: 220V at the motor connect...