Formally, the second derivative is defined by the limit definition of the derivative of the first derivative: f″(x)=limh→0f′(x+h)−f′(x)h.
How do you find the derivative of a second order equation?
Solving Second Order Differential Equation
If r1 and r2 are real and distinct roots, then the general solution is y = Aer1x + Ber2x.
If r1 = r2 = r, then the general solution is y = Aerx + Bxerx
If r1 = a + bi and r2 = a – bi are complex roots, then the general solution is y = eax(A sin bx + B cos bx)
Why do we calculate second derivative?
The second derivative measures the instantaneous rate of change of the first derivative. The sign of the second derivative tells us whether the slope of the tangent line to f is increasing or decreasing.
What is the 2nd derivative of a function?
Second derivative. The second derivative of a quadratic function is constant. In calculus, the second derivative, or the second order derivative, of a function f is the derivative of the derivative of f. Roughly speaking, the second derivative measures how the rate of change of a quantity is itself changing; for example,
What is the double derivative?
In calculus, the double derivative, or the double anti-integral, of a function f is the derivative of the derivative of f.
What is the second derivative of acceleration?
Roughly speaking, the second derivative measures how the rate of change of a quantity is itself changing; for example, the second derivative of the position of an object with respect to time is the instantaneous acceleration of the object, or the rate at which the velocity of the object is changing with respect to time.
What is the derivative of 2x?
A derivative basically gives you the slope of a function at any point. The derivative of 2x is 2 Read more about derivatives if you don’t already know what they are! The “Second Derivative” is the derivative of the derivative of a function.
A credit balance on your billing statement is an amount that the card issuer owes you. Credits are added to your account each time you make a payment. A credit might be added when you return something you bought with your credit card.
What do the 4 sets of numbers on a credit card mean?
Visa
Visa starts with 4, a Mastercard is 5 and Discover is 6. Other numbers are used to identify the industry. For instance, 1 and 2 are used for the airline industry. The numeral 3 represents travel and entertainment, so it makes sense that 3 also indicates it’s an American Express card.
What is APR on a credit card?
A credit card’s interest rate is the price you pay for borrowing money. For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate (APR). On most cards, you can avoid paying interest on purchases if you pay your balance in full each month by the due date.
What is negative balance on credit card?
A negative credit card balance is when your balance is below zero. It appears as a negative account balance. This means that your credit card company owes you money instead of the other way around. Typically, this happens when you’ve overpaid your outstanding balance or if you’ve had a credit returned to your account.
How much do I owe on my credit card?
There are several ways to find your credit card balance. The simplest way is to log into your account online or via your card issuer’s mobile app. Your current balance and statement balance will also be shown on your bill along with the required minimum payment. You can also call customer service.
What do Mastercard numbers start with?
number 5
Visa cards begin with the number 4. Mastercards start with the number 5. Discover Cards begin with the number 6.
How do you avoid APR on credit cards?
If you’d like to avoid paying interest on your credit card, you have two options. You can pay off your balance before your grace period ends, or you can apply for a zero-interest credit card that offers 0 percent APR on purchases for up to 21 months.
Where can I find the terms and conditions for my credit card?
See Terms and Conditions for details. Access your credit card account online or call us anytime at 877-523-0478.
What is creditcards?
CreditCards.com is an independent, advertising-supported comparison service. The offers that appear on this site are from companies from which CreditCards.com receives compensation. This compensation may impact how and where products appear on this site, including, for example, the order in which they may appear within listing categories.
How much does the don’t miss out credit card cost?
Don’t Miss Out: Earn 50,000 bonus miles. Plus, $0 intro annual fee the first year, then $79. See Terms and Conditions for details. Access your credit card account online or call us anytime at 877-523-0478.
How do I earn a $150 statement credit on my Card?
Earn a $150 statement credit after you spend $1,000 or more in purchases with your new Card within the first 3 months of Card Membership. Unlimited 1.5% Cash Back on your purchases. Cash Back is received in the form of Reward Dollars that can be easily redeemed for statement credits, gift cards, and merchandise.
You now need to plug your Telstra Smart Modem into your nbn™ device using an RJ-45 Ethernet cable.
How do I setup my Telstra 3rd gen modem?
Customers getting a hold of their new Telstra Smart Modem Gen 3 will be pleased that the install process is simple. Plug the line from your NBN connection into the WAN port, or your DSL connection into the DSL port and then add power and you’re done.
Is the Telstra smart modem also a router?
The Telstra Smart Modem is a hybrid modem that acts as both a modem and a router. The modem allows your compatible devices to connect to the internet and helps to keep you connected – even when there is a fixed broadband* network outage or disruption – by automatically switching to a backup mobile internet service**.
Is Telstra offering free modem upgrade?
Replacing the previous Telstra Smart Modem 2, the third-generation modem will come included for no extra cost for new NBN customers who stick with Telstra for 24-months from today.
How do I setup my Telstra cable adapter?
Set-up instructions for HFC – a new cable internet connection
Plug the Telstra Cable Adaptor into a cable port.
Plug the Telstra Cable Adaptor into the power outlet.
Connect the Telstra Cable Adaptor to your Telstra Smart Modem 3.
Plug your Telstra Smart Modem 3 into a power outlet.
Prefer a wired connection?
How many WIFI devices can a Telstra router handle?
up to 12 devices streaming at once.
What is Telstra smart modem?
That’s why we’ve launched the new Telstra Smart Modem Gen 2 that includes voice backup for phone calls, alongside mobile data backup, making it easier to get connected when NBN is not yet available.
Is the NBN box a modem?
As an NBN modem, the NBN connection box needs power to operate, plus it also needs an Ethernet connection to a router or modem-router (in ‘bridge’ mode, aka ‘router’ mode) to share the NBN connection with devices around your home.
To rip with K3b, insert a CD, and go to Tools -> Rip Audio CD. If you receive a message asking if you want to use Cd-Text rather than CDDB, you can choose either one. Both will give you the same information about the tracks on the CD. K3b then displays a list of available tracks with all of them selected.
How do I rip content from a CD?
Open Windows Media Player, insert a music CD, and click the Rip CD button. You may need to push a button on the front or side of your computer’s disc drive to make the tray eject. Windows Media Player connects to the internet, identifies your CD, and fills in the album’s name, artist, and song titles.
Can you rip audio CD with VLC?
VLC allows you to rip CDs free. In addition to using VLC to watch DVDs, convert videos and stream content, you can also use the media player to rip a CD to your computer.
How do I rip a CD in Ubuntu?
In the Ubuntu Software Center, you may find Sound Juicer listed as “Audio CD Extractor.” To rip a CD using Sound Juicer, simply insert an audio CD; Sound Juicer should start automatically. Alternatively, you can select Sound Juicer from Applications –> Sound & Video –> Audio CD Extractor.
How do you use Ripperx?
ripperX is an open source graphical interface for ripping CD audio tracks and encoding them to Ogg, MP2, MP3, or FLAC formats. It’s goal is to be easy to use, requiring only a few mouse clicks to convert an entire album….Replace Proprietary Software.
Google
Microsoft
Apple
Cisco
Intuit
SAS
What happens when you rip music from a CD?
Ripping a CD means copying music or other media from a CD to your computer. It changes the file format in the process, the result of which is a compressed file in a MP3, Windows Media Audio (WMA) or WAV format.
Can groove music rip cds?
Groove Music can read MP3, FLAC, AAC, M4A, WAV, WMA, AC3, 3GP, 3G2, and AMR files as well as some more esoteric ones (but not AIF). Neither Groove Music (nor iTunes) can read CDA files directly from a CD; they need to be ripped to one of the above formats first.
Is it legal to rip cds?
The copy is made from an authorized original CD that you legitimately own. The copy is just for your personal use. It’s not a personal use – in fact, it’s illegal – to give away the copy or lend it to others for copying.
How do I rip a CD with Rhythmbox?
Once you’ve customized the location of your music files or the format in which they will be extracted, click Close to close the Preferences dialog. You can then click the Extract icon in the Rhythmbox toolbar to begin ripping a CD.
How do I convert audio CD to digital?
Converting CDs to digital files on Windows:
Insert your CD into your disc drive.
Open Windows Media Player and check to make sure the disc is visible in the left-hand panel.
Click on it and check the boxes next to the songs you want to copy to your computer.
Click on Rip Settings and scroll down to Format.
Click Rip CD.
How do I RIP a CD on Linux?
For KDE users, the easiest way to rip CDs is through K3b, an application best-known as one of the first and easiest graphical tools for creating CDs in GNU/Linux. In most distributions, you will have to install K3b after installation. To rip with K3b, insert a CD, and go to Tools -> Rip Audio CD.
How to rip a CD with Sound Juicer?
Once installed, open the Sound Juicer application via Applications -> Sound & Video -> Audio CD Extractor. As usual, it is best to configure the settings before we start the ripping. Go to “Edit -> Preferences”. Similarly, you can set the location to store your music, the folder hierarchy and the music format.
How do I play music from a CD in Linux terminal?
Put a music CD into your computer’s drive, and open up a terminal. The command for abcde is fairly simple. That’s because most of the options the application uses are specified in a configuration file.
How do I use K3b to rip a CD?
To rip with K3b, insert a CD, and go to Tools -> Rip Audio CD. If you receive a message asking if you want to use Cd-Text rather than CDDB, you can choose either one.
Though there are several answers given already, I rather want to say something different. Basically, any foreign name CAN be written in kanji, as Mike Sekine-san has suggested….Japanese translation: any foreign name CAN be written in kanji BUT …
English term or phrase:
foreign names into kanji
Entered by:
jsl (X)
Do Japanese use kanji for names?
Japanese names are usually written in kanji script, which are symbols that represent words or ideas. These characters can have different pronunciations depending on the context. However, some given names may also be written in the phonetic syllabary of hiragana or katakana.
How are English names written in Japanese?
If you don’t know a lot about Japanese, katakana is one of the Japanese alphabets, and is used for writing foreign names in Japanese. Foreign names are typically spelled out phonetically with katakana, so Chris becomes kurisu クリス , Sarah becomes seera セーラ , and Michael becomes maikeru マイケル .
Do you use katakana for names?
Japanese names are usually written in kanji (Chinese characters), although some names use hiragana or even katakana, or a mixture of kanji and kana.
What is Japanese kanji?
kanji, (Japanese: “Chinese character”) in the Japanese writing system, ideograms (or characters) adapted from Chinese characters. Kanji constitute one of the two systems used to write the Japanese language, the other being the two indigenous kana syllabaries (hiragana and katakana).
How do you pick a kanji name?
Important Points to Choose Your Kanji: some characters have inappropriate meanings
Don’t Use Kanji Characters That Have Inappropriate Meanings. The most important point when you choose your Kanji is to avoid characters with bad meanings.
Don’t Use Hard to Read Kanji Characters.
Is katakana used for English names?
Katakana represents the same set of phonetic sounds as Hiragana except all the characters are different. Nowadays, it is mainly used for words that have been borrowed from other languages such as country names, the names of foreign people, food, business world etc.
What is the rarest Japanese name?
Kiyoko is the rarest name on this list. It roughly translates to “pure child,” but can have different meanings depending on which Kanji characters parents choose.
How do kanji names work?
Name order In Japan, like in China and Korea, the first name follows the family name. A person with the first name “Ichiro” and the family name “Suzuki” is, therefore, called “Suzuki Ichiro” rather than “Ichiro Suzuki”.
How to write your name in kanji?
Kanji By Sound. One way people recommend writing your name in kanji is by finding kanji with the same sounds as your name in katakana, but this is a bad idea for a couple of reasons. If you’re picking kanji based on sound alone, then the meanings of these kanji will probably be really weird and completely unrelated to your name.
How to translate ‘kanji’ to English?
Using Google Translate or similar be it global translator or specific translator
Using certain app that allow you to take picture by camera and translate it
Using Addons in firefox like “Imiwa” or similar that by pointing your pointer in the Kanji they will translate the meaning like dictionary
Using Kanji Dictionary digital or manual (book)
What are some common Japanese names?
– Origin: Japanese – Meaning: Apricot – Alternative Spellings & Variations: 杏 (kanji), アン (hiragana), アンズ (katana), An – Famous Namesakes: Actress Anzu Lawson – Peak Popularity: Anzu and An are not in the top 1,000 names in the U.S. 2
What is Kanji called in English?
What is Kanji called in English? Han characters It is a symbol of an idea such as an object, thing or quality. Kanji ideograms (or “characters”) were taken from Chinese characters, and many changed over time. The word “kanji” means “Han characters” (i.e. “Chinese characters”).
Sun-jung Jungm. 1996
Elizabeth Stonem. 1981–1993Najwa Sarkism. 1971–1977
Oliver Stone/Spouse
When was Oliver Stone born?
September 15, 1946 (age 75 years)Oliver Stone / Date of birth
What nationality is Oliver Stone?
AmericanOliver Stone / Nationality
Who is Oliver Stone wife?
Oliver Stone/Wife
Did Oliver Stone see combat?
In 1967, during the Vietnam War, he enlisted in the U.S. Army. He distinguished himself in combat, earning two Purple Hearts and a Bronze Star. Stone then enrolled in film school at New York University (B.A., 1971), studying under director Martin Scorsese.
Why is Oliver Stone important?
Oliver Stone has made his mark in Hollywood as a prolific and controversial director, screenwriter, and producer. Winner of three Academy Awards, his movies have confronted the most important political, social, and economic issues of our time.
Is Oliver Stone a veteran?
Acclaimed screenwriter and director Oliver Stone, whose work includes “Wall Street” (1987), “The Doors” (1991), “JFK” (1991) and “Nixon” (1995), served in the Army and deployed to Vietnam from 1967 to 1968.
What do they smoke in the movie platoon?
marijuana
Prior to the scene where Elias’ half of the platoon is smoking marijuana, the actors actually did smoke marijuana. Unfortunately for them, Willem Dafoe reported, by the time the stage was set and they actually filmed everyone had come off their high and felt awful.
How did Barnes get his scars?
He was a high-ranking professional US Army Sergeant in the infantry platoon of the 25th Infantry Division, who was best known for his mysterious yet dark and ruthless nature as a military man, but mostly for his facially disfigured look which he gained after surviving seven injuries of shooting.
How accurate is the movie Platoon?
Platoon’s battle sequences were also praised for their believability. A former Marine and technical adviser to military movies, James Dever, claimed that Stone’s movie is unerringly accurate in its depictions of real-life Vietnam battle sequences.
Is ‘south of the border’ an opinionated documentary?
Tariq Ali, who also worked on the movie added: “It’s hardly a secret that we support the other side. It’s an opinionated documentary”…“the aim of our film is very clear and basic.” In “South of the Border,” he added: “We were not writing a book, or having an academic debate. It was to have a sympathetic view of these governments.”
How does Oliver Stone portray the NSA leaker in’Snowden’?
^ “In ‘Snowden,’ Oliver Stone depicts the NSA leaker as pure hero”. Chicago Sun-Times. September 14, 2016. Archived from the original on December 17, 2018.
Is Oliver Stone going to direct Guantanamo series?
Stone plans to direct the entire first season of the show, which was created by Daniel Voll. ^ Denise Petski (May 22, 2017). “Weinstein TV Acquires Guantanamo Series From Oliver Stone & Daniel Voll”.
Is Oliver Stone’s Nazarbayev documentary a blow to independent Kazakhstani filmmakers?
^ Aushakimova, Assel. “Oliver Stone’s lavish Nazarbayev documentary is just the latest blow to independent Kazakhstani filmmakers”. The Calvert Journal.
He survived by committing around 1,000 burglaries against houses in the area, at a rate of roughly 40 per year, to be able to survive during the harsh winters of Maine….
Christopher Thomas Knight
Nationality
American
Other names
North Pond Hermit
Occupation
Recluse; non-violent burglar
Years active
1986–2013
Where is Chris Knight the hermit today?
After being captured, he became a worldwide cult hero. When he got out of jail, Christopher Knight got a job. Those who know him say he now lives in an apartment and leads a quiet life.
Who is the richest Brady Bunch?
Christopher Knight Net Worth
Net Worth:
$10 Million
Gender:
Male
Height:
5 ft 8 in (1.75 m)
Profession:
Actor, Television producer, Businessperson
Nationality:
United States of America
What does Christopher Knight do for a living?
Actor
BusinesspersonTelevision producerArt critic
Christopher Knight/Professions
Why did Chris Knight become a hermit?
‘” For Christopher Knight, the hermit from Maine, the solitude and silence were the reward. He wanted to live out his life in that small place in the woods, to die there among the trees, leaving nothing behind.
Is Christopher Knight related to Jon Knight?
Jonathan is the second youngest of 6 siblings; Allison, Sharon, David, Christopher, and Jordan (who is also in NKOTB). 3. He celebrated his big 50th birthday in 2018. 4.
Where is Christopher Knight furniture manufactured?
Christopher Knight Home now has operations in China, Vietnam, and Malaysia. Revenues have grown by 100 percent every year in the four years since they partnered with Overstock.com, an early leader in online furniture sales.
How tall is Christopher Knight?
5′ 9″Christopher Knight / Height
How much is Marcia Brady worth?
Maureen McCormick Net Worth
Net Worth:
$4 Million
Date of Birth:
Aug 5, 1956 (65 years old)
Gender:
Female
Height:
5 ft 2 in (1.6 m)
Profession:
Singer, Actor, Author
What did Mike Brady do for a living?
He was an architect. He was named “Father of the Year” by a local newspaper after his stepdaughter Marcia submitted an essay. His parents were often mentioned but never seen. However, his paternal grandfather, Judge Henry “Hank” Brady has appeared.
What is Eve Plumb doing now?
Eve is currently pursuing her passion for painting, working out of her studio in the New York City apartment she shares with her husband, Ken Pace. The self-taught artist focuses on still life, capturing objects and moments she comes across in her everyday life and while traveling for acting jobs.
Are hermits real?
Hermits who live secluded lives dedicated to introspection – contemplative silence. The existence of spiritual hermits has been recorded since ancient times, from Greece to Siberia to Thailand. Many say Lao Tse, the author of the “Tao Te Ching” lived as a hermit.
1 US, informal : a foolish, stupid, or contemptible person Something about human nature makes us all think we are the best drivers on the road at any given time. It’s everyone else who are the dingleberries.—
Why are they called Dingleberries?
The use of dingleberry to refer to a rectum-clinging piece of feces has been attested since the 1920s. The origin of this meaning isn’t clear. It may be based on dangle or dingbat. It’s no big leap from dingleberry as a small piece of turd stuck the butt to an insult for someone considered foolish or inept.
Is there a fruit called dingleberry?
Answer has 4 votes. It apparently can be a fruit, Vaccinium erythrocarpum, the Southern Mountain Cranberry. although another meaning is in far commoner use – with varying colours that are sometimes diet related….
How do you use dingleberry in a sentence?
A brother bothering his sister will definitely get called ‘dingleberry’ at least once in his life….Example 3:
Girl: Isn’t he the sweetest little thing.
Guy: I think its kinda dumb.
Girl: Don’t say that he is just a puppy.
Guy: Look at the little dingleberry, he doesn’t even know how to pick the ball up.
What is another term for dingleberry?
A foolish or unintelligent person. sap. fool. idiot. dolt.
Where do Dingleberries grow?
Dingleberry may refer to: Vaccinium erythrocarpum, species of cranberry-producing shrub. Dingleberry Lake, lake in California, U.S.
What is another word for dingleberry?
Dingleberry Synonyms – WordHippo Thesaurus….What is another word for dingleberry?
sap
fool
idiot
dolt
imbecile
simpleton
dunce
moron
dullard
halfwit
What is another name for the hind Berry?
The definition of hindberry in the dictionary is a raspberry.
What is a dingleberry on a dog?
Safe and effective pup poop and mud remover Dingleberries are a very common problem for dogs, especially those with long fur. Known as Pseudocoprostasis, this problem involves feces and hair becoming matted in the fur around the anus area. It can even lead to serious blockage issues.
Do Dingleberries grow?
Dear Desi: Dingleberries grow on your butt. And they can grow in any climate and location. They are a hardy variety. Check your butt.
How do dogs deal with dingleberry?
Launching now, Fanny Foam™ is a magical spot treatment that helps gently loosen stubborn dirt, debris and dingleberries from dog’s fur in just a few seconds. Simply spray on a cloth or directly onto soiled area and gently wipe away. Let air dry.
Armacost Lighting PureVue LED Puck Light 2.75-in Hardwired/plug-in Under Cabinet Light Bar Light in the Under Cabinet Lights department at Lowes.com.
Can puck lights be dimmed?
The LED puck lights are fully dimmable, submersible to 20 inches (1/2 m), and long-lasting.
Can under cabinet lights be on a dimmer?
Wireless under cabinet lights can be dimmed but that is typically done with a remote control. For now, the majority of these come in the form of puck lights. You need to have the remote control handy to turn on the lights and to dim them. Hard wired under cabinet lights have more flexibility when it comes to dimming.
How do you hardwire under cabinet lights?
Installing LED Under Cabinet Lighting
Consult with an electrical contractor before you start.
Position your LED under cabinet lighting.
Gather tools and mounting hardware.
Disconnect the power.
Attach the lights.
Cut the wall.
Run the wire.
Run the cord.
What are puck lights used for?
Puck lights are often used for accent lighting in space. They are used to illuminate objects that need to be highlighted, such as decorations. They can produce clean, clear spots and highlight the objects that need to be expressed to enhance the effect.
Are LED puck lights dimmable?
The PureVue Dimmable LED Puck Lights are the perfect solution for taking your accent lighting to the next level. The all metal design measures only 5/8-in thick, making the puck lights an ideal solution for surface mount fixtures or as a recessed flush mounted, ultra-thin downlight.
Can plug in lights be hardwired?
unconventional way). One major benefit of turning a plug-in light into a hardwired one is that a plug-in is often far cheaper than a ready-to-go hardwired one. They are way more customizable too, and it only takes about 5 minutes to transform the fixture! You can see this one in place hanging from the ceiling here.
How long do puck lights last?
LED puck lights typically last between 20,000 hours and 50,000 hours. If your LED puck light is on 3 hours per day, the average, then your light can last about 22 years. One of the main benefits to LED lights is their lifetime. Unlike incandescent lights, which simply burn out, LED lights slowly dim over time….
Dollar to Colombian Peso Exchange Rate Today, Live 1 USD to COP = 4051.7237 (Convert Dollars to Colombian Peso)
How much is $100.00 US dollars in Colombian pesos?
405775.00000 COP
Are you overpaying your bank?
Conversion rates US Dollar / Colombian Peso
100 USD
405775.00000 COP
250 USD
1014437.50000 COP
500 USD
2028875.00000 COP
1000 USD
4057750.00000 COP
How much is $2000 in Colombian pesos?
8182000.00000
Are you overpaying your bank?
Conversion rates US Dollar / Colombian Peso
250 USD
1022750.00000 COP
500 USD
2045500.00000 COP
1000 USD
4091000.00000 COP
2000 USD
8182000.00000 COP
How much is $1000 in Colombian pesos?
4078000.00000
Are you overpaying your bank?
Conversion rates US Dollar / Colombian Peso
1000 USD
4078000.00000 COP
2000 USD
8156000.00000 COP
5000 USD
20390000.00000 COP
10000 USD
40780000.00000 COP
How much is $50 US in Colombia?
203900.00000
Are you overpaying your bank?
Conversion rates US Dollar / Colombian Peso
5 USD
20390.00000 COP
10 USD
40780.00000 COP
20 USD
81560.00000 COP
50 USD
203900.00000 COP
How much is a meal in Colombia?
Cost of Living in Colombia
Restaurants
Edit
Meal, Inexpensive Restaurant
13,000.00Col$
Meal for 2 People, Mid-range Restaurant, Three-course
80,000.00Col$
McMeal at McDonalds (or Equivalent Combo Meal)
20,000.00Col$
Domestic Beer (1 pint draught)
4,500.00Col$
What is the money in Colombia?
Colombian pesoColombia / Currency
Can I use my US debit card in Colombia?
Using credit and debit cards in Colombia Foreign visitors should be prepared to provide ID to verify a credit card transaction. As with many South American countries, Visa, MasterCard, and American Express are the most commonly accepted credit cards in Colombia.
What currency does Colombia use?
Is Colombia a poor country?
Colombia is classified as an upper middle-income economy and is one of Latin America’s largest economies, according to the International Monetary Fund. The country’s economy is shaped by its land and like many South American nations is based in its rich natural resources.
Is it cheap in Colombia?
Colombia is one of the cheapest countries to travel through from South America.
What is the currency in Bogota Colombia?
The Colombian peso
The Colombian peso is the country’s legal tender. A wide selection of banknotes and coins are used. You will find 50, 100, 200, 500 and 1,000 peso coins and 1,000, 2,000, 5,000, 10,000, 20,000, 50,000 and 100,000 peso banknotes, highlighting Colombia’s wealth and diversity.