I am new to QGIS and have two vector layers (the green one, displayed in graduated symbology, and separately the orange layer - see image pasted below). I want to create a new field in the attribute table of the green layer, to calculate what percentage of each polygon is covered by an orange pol...

I am typesetting a multi language document with XeLaTeX. but when i use ` this symbol (it is the key below escape and under ~) to produce left quote it come as a slopped instead of curved. here is the image. i dont know what happens there. i am attaching the link of the example in overleaf. http...

White to move. Source: wu riddles

My interstellar empire, the Dynasty, draws some inspiration from the Gao’uld of Stargate. Encompassing the entirety of the Hyades cluster, it is ruled with an iron (or platinum) fist by the Sovereign-Lord, who the various areas of government and state-run corporations ultimately answer to. He is ...

For a model category $C$, I'm denoting $h_\infty(C)$ the associated $\infty$-category (for example its Dwyer-Kan localization at weak equivalences, or if $C$ is simplicial the simplicial nerve of the category of bifibrant objects, or any other equivalent construction...). If $C$ is a combinatoria...

I am trying to find a novel I read as a teenager around 2008. There were two books if I recall correctly. I think I read it in French but it was probably a translation. The untranslated version might have been in German or English. Settings There were two major settings I remember : The "exotic"...

I am student of an Asian Country who will apply to European Universities (mainly France, Germany, Finland, Netherlands, Denmark) for session 2022 for PhD in mathematics. So, I thought about writing to professors (email) asking about an open positions and if they are willing to work with me. I ha...

I've installed this Anki plugin that adds pitch accent info. The author has helpfully provided some guidelines about the notation: Overline: Indicates "High" pitch Downfall arrow: usually means stressing the mora/syllable before. Red circle mark: Nasal pronunciation、e.g. げ would be a nasal け. B...

I'm an undergraduate student applying to the graduate programs in the U.K. I'm preparing the personal statement and have a question about the format. From the website, there are no general requirements on that, but I wonder is it appropriate if I highlight the part in a sentence to grab the reade...

I want to turn a white LED on and off via my microcontroller GPIO. The ESP-01S board that I have uses an ESP8266 chip, which has a limit of 12 mA GPIO output current. However, I want to drive this LED with about 25 mA. The transistor I have is a S8050C NPN transistor. I'm using resistor R1 to lim...

My dissertation is just for an undergraduate degree, but acknowledgements are required. I have sent two direct emails to the internal supervisor who was assigned to me, one introducing myself and one asking for advice. There have also been several emails where they have been copied into, just to ...

Potion of Expeditious Retreat: When you drink this potion, you become fleeing for 1 minute, and you gain a +40-foot status bonus to all your Speeds for the duration as long as you are fleeing. Fleeing: You're forced to run away due to fear or some other compulsion. On your turn, you must spend...

Eyes of the Eagle gives a bonus to Perception checks "that involve sight". Usually, a Perception check can be used for Initiative. When does it not involve sight?

Hello there, This might seem like a silly question, but I've been practicing diminished chords, and I've not seen any minor diminished chord being labelled specifically with its minor indication. Is it because diminished chords on the tonic or specific notes are always formed from minor chords? L...

The existence of Stein's Example prima facie appears similar to seemingly unrelated regression (SUR) insofar as simultaneously estimating multiple parameters seems more effective than training them separately. In the Wikipedia articles linked above there seems to be a somewhat different emphasis....

Based on Paul's request in [Romans 16:11] from the NKJV : "Greet Herodion, my countryman" (ἀσπάσασθε Ἡροδίωνα τὸν συγγενῆ) and "Antiquities of the Jews" by Josephus, Book XX (CH 9.4) : "Costobarus also, and **Saulus**, did themselves get together a multitude of wicked wretches, and this becaus...

I am reading "The basic concepts of Algebraic Logic" by P. Halmos. He defines a filter over a Boolean Algebra $A$ as a non empty set $P$ such that: -For all $x,y \in P$, $x \land y \in P$ -For all $x \in P$ , $t \in A$, $x \lor t \in P$. Then the following remark is made: "A necessary and suficci...

I work in IT, but have a coworker who wrote a novel in her spare time. It wasn't a NY Times bestseller, but my understanding is it did surprisingly well for an independent author. I finally read it when a coworker told me sternly that I needed to read it. So it turns out that the villain is defin...

The title pretty much gets the whole question across. In particular, did Einstein work with the modern definition of smooth manifolds, or was that formalized later? Did he know about/use the coordinate-free approach, or did he only consider vectors/tensors to be "things that transform as <rule>"?...

A written contract states a given requirement for a service to be provided. But, in practice we ignore that requirement consistently and provide the service anyway. This goes on for many iterations, until at some point it doesn't. If our contract states we "require" XYZ in order to fulfill our se...

In the Star Trek: Voyager episode, "Future's End, Part II", Voyager's EMH, the Doctor, was able to leave sickbay or the holodeck and roam freely with the help of a mobile emitter (the technology originating in the 29th century). Could this be used by any hologram created on the holodeck?

The French style (see the frenchstyle option of the LaTeX kpfonts package) is to typeset capital letters in math mode in roman rather than in italic. How to achieve that in plain TeX without having to manually input \rm everywhere? That is, I would the second one to look like the first in: Let $...

I read: Many of my older clients ask me, “How much can I gift to my family today, while I am living?” This is a strategy known as a living inheritance, and it can be a very powerful tool — as long as you carefully consider and prioritize protecting your own financial security. What's the transl...

Using a solution provided by @egreg, I am experiencing some strange output when using the code: \documentclass{article} \usepackage[utf8]{inputenc} \usepackage[greek,english]{babel} \usepackage{lmodern} \begin{document} This is in English, but we also have \textgreek{μια φράση στα ελληνικά} \e...

Is there a way to make Trashcan Carla friendly again after you rob her? I tried things like disable and markfordelete but it didn't work.

Basically I'm thinking of a strategy game, something like starcraft, and you have a unit that emits a field that causes the area around it to appear in grayscale. Is there any kind of potential physics explanation for how you could change the color of light reflected by an object without physical...

In plain TeX, \cos is defined as \mathop {\rm cos}\nolimits but \gcd as \mathop {\rm gcd}. In what case to use \nolimits when defining a math operator to be typeset in roman?

I'm still quite early in my Journey of Mathematics and as I have progressed I have found a constant wall; proofs. Every time I try and learn to do simple proofs, I struggle to find an actual strategy, and locating what I am actually trying to prove. I feel as if that when I construct a proof, I t...

Suppose that we bet on the outcomes of coin flips in the following way. Each of us chooses a different series of three flips, and we flip a coin until three consecutive flips, in order, match your choice or mine. For example, you might pick HHT while I pick HTH, and we flip until either HHT or HT...

I'm pretty much a newbie in music, and I wanted to ear train a little, to be able to improvize with my guitar. So I learned what I thought to be the minimum before that : major scales, minor scales (natural, harmonic, melodics), and how to recognize them by ear, then harmonize them. I wanted to t...

I have a PS4 controller that I want to replace the joystick on, so I disassembled the controller, added flux, added additional solder to all the joints, and removed the faulty joystick with a heat gun. Everything went well, but I ran into a few problems during the next step which was removing all...

One of the most famous pictures in Austria is foreign minister Leopold Figl presenting the Austrian State Treaty at the center balcony of the Belvedere after it has been signed. Among the delegates in this picture are John Foster Dulles, Leopold Figl, Antoine Pinay, Julius Raab, and Adolf Schärf....

For example, I want to print all values x + 1 with n repetition In Python : def arithmetic_add_1_(n,x): for k in range(n): print(x) x = x+1 print(x) with n -> repetitions and x -> start number Edit: Thank you for your help guys, it works now !

The move e2e4 could be played on move 1. (One half-move) The move e7xd6 could be played no earlier than by black on move 3 (6 half-moves). What move(s) has the latest "earliest possible move it could be played"? A move is distinguished by: what type of piece is being moved from where to where wh...

I am aiming to create a map showing species location records as points. I need to make the points different colours based on land type which is a polygon layer. So I want my species points to be a different colour to represent which land type they occur in. For example, records in farmland = blue...

Background The recurrence of the Fibonacci sequence is defined as $$ f(n+2) = f(n+1) + f(n) $$ From this recurrence alone, the following gap formulae (recurrences relating three terms with certain amount of gaps) can be derived: $$ f(n+4) = 3f(n+2) - f(n) \\ f(n+6) = 4f(n+3) + f(n) \\ f(n+8) = 7f...

In classical mechanics we often define the action as the quantity $$ \int_{0}^{T} \left[ T - V \right] dt$$ Which in many applications is some variant of $$ \int_{0}^{T} \left[ \frac{1}{2}m \left( x' \right)^2 - V(x) \right] dt. $$ The usual justification for the principle of least action is the...

Currently i am dealing with a bunch of coordinates (epsg:4326 => lat/lon) and their corresponding value (temperature). The goal is to write these coordinates and their values into a simple netcdf file and display it in e.g. QGIS (So you will have a colored square for each pixel/coordinate) Curren...

I have nodes with text and I want them like in the first two nodes. As you can see the solution has its flaws: First I have to manually adjust the indent and so cannot be sure if it is correct aligned and second, once the text gets a little shorter/longer it stops to work. MWE: \documentclass{art...

I have the following molecule in SMILE format (saved as my_molecule.smi): [H]N[C@@H](CCCCN)C(=O)N[C@@H](CCCCN)C(=O)N[C@@H](C)C(=O)N[C@@H](CC1=CNC2=C1C=CC=C2)C(O)=O I created an image using ChemAxon Marvin's molconvert command: MarvinSuite/bin/molconvert "jpeg:w800:h800" my_molecule.smi -o mol.jp...

Does the 30 x 5 ft. stream of acid from Tasha's caustic brew last for the spell's duration? Or does only the acid that coats the spell's targets last for the duration (or until scraped or washed off)? If the 30 x 5 ft. stream lasts for the duration, does it move with the caster? Can the caster ch...

I am currently using the Ultimaker Cura that one can install via the Software Centre which is currently in version 4.8. However, there is a more recent version of the software available here (that is version 4.11). I can download the AppImage and run it but I just want to add a repository so th...

Since the speed of light is the speed of causality, the "now" state of the a faraway object for an observer should be the exact point at which its light reaches the observer, for literally all intents and purposes. My question is whether purporting that something "happened a long time ago but its...

When you release your IP address using the ipconfig/release command and then renew with ipconfig/renew, the computer will request and receive the same address you had previously. Why is this so? How would you (what commands would you use) so that your computer will not request the same address?

Since nitrofurans are banned e.g. in the EU from use in food-producing animals, but not entirely as medications for humans, there have been some stories/reports of possible diversion of human-intended medications for animal use, e.g. in Portugal in the previous decade. In 2018 the USDA ran an inv...

The trends discussed in Pew Research's recent study Citizens in Advanced Economies Want Significant Changes to Their Political Systems was of no surprise to me, except Spain stands out in an interesting way. The data suggests those in Spain who are dissatisfied with Spain's political system are r...

So recently my uncle gave me a Deore M5100 11 speed RD, but my current setup uses an Alivio shifter with a LTWOO A5 elite RD and an 11-46T cassette. While yes the LTWOO RD is designed to handle a 46T 9 speed cassette, im wondering if a Deore M5100 can handle not only the 9 speed shifter, but also...

Orcish Large volumes of unlabelled data are hard to visualize when debugging; I find it difficult to keep track of the pointers in memory. I have used this code to assign Orcish names, (it's a name because I capitalized the first letter.) I use it initialized in the data type itself (orcish), or ...

I want to brighten those really dark areas while retaining detail in the lighter ones. Any ideas?

I have modelled a cupcake on which I would like to add different styles of wrappers. I tried texture painting on them. But the result was not satisfactory. How do I use custom images on my wrapper or texture paint the polka pattern? This is the modelled cupcake on which I would like to have the b...

I know there are two IPs - public IP - given by the wifi router and is the same for all the devices connected to it and it is the IP visible to the websites ; and private IP - the IP assigned to every device connected to the wifi and it's used by the wifi for sending the exact packets to the the ...

This is some data presented in a lecture on exoplanets that depicts the distribution of the sizes of super-Earths in comparison to the mass of Jupiter. I would like to know what the argument of the sine function i.e. 'i' implies and why it was multiplied by the mass of Jupiter.

I have seen the formula for back-propagation algorithm for neural network error minimization, but I am not quite sure about what changes it is performing on the weights individually. Let us suppose a simple neural network as follows: All the weights between the connection nodes are initialized t...

The successive ionization energy of the first four electrons of a representative element are $\pu{738.1 kJ/mol}$, $\pu{1450 kJ/mol}$, $\pu{7730 kJ/mol}$ and $\pu{10500 kJ/mol}$. Characterize the element according to the periodic group. From this data page, I predicted that the element is $\ce{M...

In Excel we have option called 'Text to columns' to split the data in a column. Is there any option available in QGIS? There is an option which splits data from left or right in QGIS but I want entire data to be split.

Does someone intentionally make papers shorter in order to avoid grammar or reference errors? I'ver pondered this, because it seems like it could be a good strategy. However it may come with pitfalls, such as not saying all that might be necessary. But having fewer words and sentences would make ...

Scenario There are two transactions tx1 and tx2 both trying to consume an arbitrary eUTXo oRef. Both tx1 and tx2 are submitted to the mempool in the same block, and are valid transactions; we can consider them identical for the purpose of the question. Questions: When does oRef get consumed? Wou...

Suppose I want to define a function whose argument must be a List of only Strings and List must have at least one member. I know how to require that the Head must be a List but how does one qualify List members within an argument? I really don't want to resort pattern matching inside the body of ...

I am just trying to search for tools in the Search Window in ArcMap as I've done it earlier and it perfectly worked. After writing the name of the tool, it says it cannot find it but I can choose it in Arctoolbox. How can I fix it? It is just way easier to use search box.

There is a Premchand short story whose original Hindi title is "Vidhwans"; it's been translated into English as "Catastrophe", as seen here, but the same story has also been translated as "A Positive Change", as seen in this answer sourced from Penguin's Premchand: the complete short stories (201...

I wanted to upgrade from Big Sur to Monterey and after the download completed, I get this message, that I cannot upgrade because my disk was encrypted.

The book Fizban's Treasury of Dragons has been released. While it does contain some player-oriented material (2 new subclasses), something it doesn't do is update the Draconic Sorcerer to have additional Draconic Ancestry options for the new types of dragons introduced in the book. If a player w...

I am working within an electronics development department. My job is to design electronic cards on behalf of clients. Some cards end up in devices which are commercialized by our clients in Europe. I have questions regarding the EMC compliance. As I have understood, every electronic device need t...

I did a statistic about the difference between the first announcement time in the network and the timestamp in block header for blocks within 2020. Surprisingly, most (93%) differences are less than 100 seconds. One of the possible reasons is my statistic is wrong, but if the result is accurate, ...

I was reading James Blish again the other day and came across a passage wherein he suggested, with all seriousness, that the only article required to create a new age of piracy was ships that didn't require fuel. It further suggested that the only reason the Golden Age of Piracy happened at all w...

The name "surjection" makes some sense to me as "throwing onto/over the (whole) codomain, so as to cover it". I don't get the connection between the name "injection" and "hitting each element no more than once". Perhaps the "in" is privative rather than directional? If it just means "throwing into"...

I've just bought my first carbon frame roadbike and realised that it has thru axle (previously I had quick release). Before I would do anything stupid, could someone give me advice if I should apply bicycle grease or carbon paste on it when I take it out/in? I'm afraid of breaking the frame. By t...

There is plenty of evidence for a cosmological time dilation effect. For instance a supernova that takes 20 days to decay will appear to take 40 days to decay when observed at redshift $z=1$ (see Ned Wright's cosmology FAQ, Ned Wright on Tired Light). I understand how time dilation comes about wh...

Here is my dataset: col1,col2,col3 a,b,c a,d,f d,u,v f,g,h d,u,g x,t,k Expected output: f,g,h x,t,k Selection criteria: If anything occurs in col1 multiple times, then all of the associated rows will be deleted. Can I solve it using Linux sort or uniq or anything else?

Qual a origem da seguinte expressao "Janeiro fora cresce uma hora" Relacionada com dias maiores

while testing and working with avionics systems I have never seen an altitude near 0 or negative. Is there a place when flying above the Altitude tape shows -ve value ? Maybe while flying between grand canyons ?

In cryptography there are 4 basic attack classifications: Ciphertext-Only Attack Known-Plaintext Attack Chosen-Plaintext Attack Chosen-Ciphertext Attack In Katz & Lindell's textbook (2nd edition) one can find a security definition and experiment for those attacks. E.g. to define CPA-security. T...

Pour If you really want to dig into the programming philosophy that drives much of the coding practice of Python power users, you should read this book. Google Translate donne Si vous voulez vraiment vous plonger dans la philosophie de programmation qui sous-tend une grande partie de la pratiq...

The above problem is taken from the 2014 $F=ma$ contest. This question generated a great deal of controversy. At least two test takers challenged the answer, one who even tried to do the experiment. I’m told that several different “Ph.D” physicists declared that the correct answer was X, but, i...

I'm trying to find an equivalent result between cor.test and lm with two predictors. dat <- data.frame(y=c(1.4, 6.3, 3.2, 1.6, 4.3, 4.5, 8.4, 2.2, 4.2, 6.3, 8.3, 2.2, 1.1, 5.3, 2.2, 1.8, 7.5, 1.4), x=c(22.2, 44.3, 13.3, 11.4, 57.3, 54.8, 78.5, 22.6, 45.6, ...

Suppose that $$ X \sim N(0,1) \\ Y \sim N(0,1) $$ are i.i.d random variables that represent Cartesian coordinates. What are the marginal distributions of the polar coordinates $r$ and $p$? What I have so far is $$ f(r,p) = \frac{r}{2\pi} \cdot e^{-\frac{r^2}{2}} $$ but I am interested in the marg...

I browsed through the Chainlink docs but I couldn't find an answer for how often prices are updated. My understanding is that they have a rule that if the markets become super volatile, they immediately post an update to the data feeds. But normally prices are updated once every so often (1 hour?...

So the plot was somehow like this: a guy was uploaded to, I think, an android body. Then, he is sent out to scout for a new habitable planet. Following this, I think a lot happened (I can't clearly remember), where he keeps returning , but in the end they set out on a lot of ships. There is a pro...

I'm trying to remove whitespace with a Zealous Crop. In both Gimp and XnView MP they'll crop the whitespace and move elements closer together, but whitespace remains above and below each element relative to the other elements positioning in the image. There are about 8 elements in the image of fa...

I need to check if times A cross with times B using integers and a 24hour clock. Times that are the same don't count as crossing, but meeting. For example: 16, 20 and 14, 18 (startA, endA and startB and endB) would return true as these times do cross, however, 14, 16 and 16, 20 meet but don't cro...

I would like to use the IMPORTDATA Google Sheets function to load a Wolfram Cloud API into my Spreadsheet. How can I do that?

From what I've learned, fusion reactions are not currently economically viable as of right now because the energy required to start the reaction is more than the energy actually released. However, in stars they have immense pressures and temperatures which are able to allow these reactions to tak...

"CLIMB, CROSSING CLIMB, CLIMB CROSSING CLIMB" "DESCEND, CROSSING DESCEND, DESCEND CROSSING DESCEND" (TCAS Aural Alerts - Padpilot, Advanced Instrumentation) In what situation would a TCAS system advise a climb or descent thorough another aircraft's altitude, rather than issuing a command to cli...

I'm trying to find a related OS package of a path. I use rpm for that. For example: > /bin/rpm -qf --queryformat '[%{NAME}]' /usr/bin/tcsh tcsh But I noticed that there are packages that are printed badly: /bin/rpm -qf --queryformat '[%{NAME}]' /usr/bin/wget wgetwget-openssl1 There is no such O...

I came across a character saying '完全逃した' which I found as odd as it is a na adjective(完全) + a verb(逃した). Is it allowed use an adjective directly before a verb)?

I am the owner of a website that allows users to create musical diagrams (sheet music). For the sake of anonymity I will not mention the name of the website. Basically the website allows users to create and share sheet music. All of the website is completely free (no registration fees and no paid...

Wow! You are amazing math tutors! I can't believe I'm actually doing well in math class. Though I could use your help again. I know I should be getting better, but there are so many factors that have kept me from properly studying. Today's assignment was seemingly impossible, but I'm sure you can...

Matthew 19: 29 And everyone who has left houses or brothers or sisters or father or mother or wife or children or fields for the sake of My name will receive a hundredfold and will inherit eternal life. Why didn't Jesus say "wife or husband"?

I recently learned (read) the math behind RSA encryption (algorithm). Now, I wonder if there is a way to use a custom password instead of the private key. Imagine a web application, where user signs up with a username and password. If a web application generates a public-private key pair at the s...

I'm writing the introduction to my Ph.D. thesis in theoretical physics. It is fairly interdisciplinary sandwich thesis. I have already written a Background section were I write some of the necessary background knowledge necessary to the motivations and the context of the paper. So I am left with ...

The only file which was meant to be compiled in my Main.tex was specified by the following line: \include{transformtaion} It was compiled without any error using the following command: pdflatex -synctex=1 -interaction=nonstopmode Main.tex However, the generated PDF file was empty. After investi...

By the book (PHB p.190): You can also interact with one object or feature of the environment for free, during either your move or your action. For example, you could open a door during your move as you stride toward a foe, or you could draw your weapon as part of the same action you use to attac...

With H I taste good. With E I smell good. With Y I snoop in the hood. What am I... with HI?

I would like to delete a .qgs project stored in PostgreSQL using PyQGIS. This SQL code does the job into pgAdmin : DELETE FROM test2.qgis_projects WHERE name = 'Project_name'; My attempt which doesn't work in PyQGIS is : from PyQt5.QtSql import * uri = QgsDataSourceUri() uri.setConnection("local...

Gen 2:1 BSB Thus the heavens and the earth were completed in all their vast array. Was this where other planets were created?

Spotted today in Latvia, but it doesn't look like any of European license plates. It was also yellow from the front. Do you have any idea?

Let $M$ be a Riemannian manifold and $S \subset M$ a compact submanifold of strictly lower dimension. Does every smooth function on $S$ extend to a harmonic function on a neighborhood of $S$?

When coding resharper recommends that if you're to discard or ignore the return of a method, that you use this syntax: _ = TheMethodICouldCareLessAboutTheReturnValue(); I know you could just call it without assignment to _ just the same, so why does the _ as an assignment matter?

Is it theoretically possible for a civilization to get into space without the capability of distilling crude? I know that the Saturn V rocket was fueled with hydrogen from the splitting of hydrocarbons and that the logistics to build a spacecraft without the internal combustion engine (in the tra...

I run Emacs 27.1 in a Windows 10 environment, and I use tramp via plinkx for remote editing. I don't have diff installed locally, and I don't have the privileges to do it, so I'd like to avail of the one installed in the linux server. I put into my init.el (require 'tramp) (add-to-list 'tramp-rem...

Let $A$ be a differentially graded augmented algebra. Then $\mathbf{B}A$ can be equipped with the structure of a coalgebra. This is proved in, for example, Loday and Vallette's book on Algebraic Operads. The $n$-lab page https://ncatlab.org/nlab/show/bar+and+cobar+construction points out that the...

I have recently installed Ubuntu 18.04.6 LTS and then installed Fritzing using packages from official repository by using below command sudo apt-get install fritzing Then on first launch it showed three windows with errors Oops! Sorry, we have a problem with the swapping mechanism. Fritzing sti...

How can I make better labels for the following simple BarChart? onset1 = {8870, 73730}; peak1 = {1.3 10^8, 2 10^8}; onset2 = {2425, 5695}; peak2 = {1123, 2326}; onset3 = {88, 141}; BarChart[{onset3, onset2, peak2, onset1, peak1}, ScalingFunctions -> "Log", ChartLabels -> {Placed[{"Very long l...

The Ruby Weave Gem from Fizban's Treasury of Dragons has a feature that allows you to learn a spell from any class list when you finish a long rest: When you finish a long rest, choose a spell from any class list. The spell you choose must be of a level you can cast. You know the chosen spell an...

I'm reading this book, and as a preliminary I looked into the introduction to model theory included in the appendix B. On p. 625 (643 of the pdf), the authors write: If $\mathbf M \subseteq \mathbf N$, then the inclusions $a \to a: M_s \to N_s$ yield an embedding $\mathbf M \to \mathbf N$, call...

find is always a complete mystery to me whenever I use it; I just want to exclude everything under /mnt (I am in bash on Ubuntu 20.04 on WSL so don't want it to search in the Windows space) from my search, but find just blunders into those directories completely ignoring me. I found syntax from t...

Say I am employed with company 'A' with whom I have a 401K account. Now, while switching jobs, I decide not to carry forward this 401K to the next employer but instead rollover this 401K I had with company 'A' into a rollover IRA, which I later convert to a Roth IRA. Now, say I am with my new emp...

I have several bars of sixteenth notes that span quite a large range on the keyboard, and also go up and down the length of four octaves on the keyboard quite rapidly. I am not sure about how best to notate this on my score for maximum clarity. The beginning of the particular phrase starts in the...