area of a slot calculator

In the world of electronic slot machines, understanding the mechanics behind the game is crucial for both players and developers. One of the key concepts that often comes up is the “area of a slot calculator.” This term refers to the mathematical calculations and algorithms that determine the outcome of a slot machine spin. Let’s delve into what this means and how it works. What is the Area of a Slot Calculator? The “area of a slot calculator” is a metaphorical term used to describe the complex algorithms and mathematical models that govern the behavior of slot machines.

  • Lucky Ace Palace
    new
    Luck&Luxury100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Cash King Palace
    Royal Wins100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Starlight Betting Lounge
    Celestial Bet100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Silver Fox Slots
    Elegance+Fun100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Spin Palace Casino
    Win Big Now100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    Show more
  • Golden Spin Casino
    Luxury Play100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Lucky Ace Casino
    Luck&Luxury100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Royal Fortune Gaming
    Opulence & Thrills100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Diamond Crown Casino
    Opulence & Fun100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more
  • Victory Slots Resort
    Spin to Win100% / $1500
    Casino popularity:
    Collecting more data...
    Payment methods
    • Mifinity
    • Google Pay
    • PIX
    • EcoPayz
    • Neteller
    • Apple Pay
    • Visa
    • Sofort
    • Interac
    • Wagering: 35 x (b)
    • Withdrawal time: 1 days
    • Minimum deposit to casino: $30
    • Bonus max bet: $5
    • Established: 2024
    • Free Spins: 200
    • 1st Deposit Bonus:100% / $1500 + 200 Free Spins
    • Bonus code: FRUIT22nd Deposit Bonus:100% / $1500 + 75 Free Spins
    • Bonus code: FRUIT33rd Deposit Bonus:75% / $3000 + 75 Free Spins
    • Bonus code: FRUIT44th Deposit Bonus:50% / $4500 + 200 Free Spins
    • Leading selection of slots
    • VISA casino site
    • HD streaming casino games
    • Newly unveiled casino
    • Signup offer now available
    • Mr. Gamble special bonuses
    Show more

Source

  1. area of a slot calculator
  2. find local slots near you: best slot machines & casinos in your area
  3. find local slots near you: best slot machines & casinos in your area
  4. find local slots near you: best slot machines & casinos in your area
  5. find local slots near you: best slot machines & casinos in your area
  6. find local slots near you: best slot machines & casinos in your area

area of a slot calculator

In the world of electronic slot machines, understanding the mechanics behind the game is crucial for both players and developers. One of the key concepts that often comes up is the “area of a slot calculator.” This term refers to the mathematical calculations and algorithms that determine the outcome of a slot machine spin. Let’s delve into what this means and how it works.

What is the Area of a Slot Calculator?

The “area of a slot calculator” is a metaphorical term used to describe the complex algorithms and mathematical models that govern the behavior of slot machines. These calculations determine the probability of winning combinations, the payout percentages, and the overall randomness of the game.

Key Components of the Area of a Slot Calculator

  1. Random Number Generator (RNG):

    • The RNG is the heart of any slot machine. It generates random numbers that correspond to specific symbols on the reels.
    • These numbers are generated at a rapid pace, ensuring that each spin is independent and random.
  2. Payout Percentage:

    • The payout percentage is the amount of money a slot machine returns to players over time.
    • This percentage is predetermined by the developers and is a crucial factor in the area of a slot calculator.
  3. Winning Combinations:

    • The calculator determines which combinations of symbols result in a win.
    • These combinations are based on the number of reels, the number of symbols per reel, and the specific rules of the game.
  4. Bonus Features:

    • Many modern slot machines include bonus features such as free spins, multipliers, and mini-games.
    • The area of a slot calculator also includes algorithms that determine when these features are triggered and how they affect the outcome.

How the Area of a Slot Calculator Works

Step-by-Step Process

  1. Initialization:

    • The slot machine is initialized with a set of parameters, including the number of reels, symbols per reel, and payout percentage.
  2. RNG Activation:

    • When a player presses the spin button, the RNG generates a series of random numbers.
  3. Symbol Assignment:

    • These random numbers are then mapped to specific symbols on the reels.
  4. Combination Check:

    • The calculator checks the resulting combination of symbols to see if it matches any winning combinations.
  5. Payout Calculation:

    • If a winning combination is found, the calculator determines the payout based on the predefined payout percentage and the specific rules of the game.
  6. Bonus Feature Trigger:

    • If applicable, the calculator checks if the combination triggers any bonus features and proceeds accordingly.

Importance of the Area of a Slot Calculator

For Players

  • Understanding Odds:

    • Knowing the underlying calculations can help players understand the odds of winning and make more informed decisions.
  • Identifying Fair Games:

    • Players can verify that the slot machine is operating fairly by understanding the principles of the area of a slot calculator.

For Developers

  • Designing Fair Games:

    • Developers use the area of a slot calculator to design games that are both entertaining and fair.
  • Optimizing Payouts:

    • By fine-tuning the calculations, developers can optimize the payout percentages to attract players while ensuring profitability.

The area of a slot calculator is a critical aspect of electronic slot machines that ensures fairness, randomness, and entertainment. Whether you’re a player or a developer, understanding these calculations can enhance your experience and help you create or choose better games.

winstar slot machine map

Winstar World Casino and Resort, located in Thackerville, Oklahoma, is one of the largest casinos in the world. With over 8,600 electronic games, navigating the expansive casino floor can be a daunting task. This article provides a comprehensive guide to the Winstar slot machine map, helping you find your favorite games with ease.

Overview of Winstar Casino Layout

Winstar Casino is divided into several themed gaming plazas, each with its unique ambiance and array of slot machines. Here’s a brief overview of the main gaming areas:

  • Paris Gaming Plaza: Inspired by the City of Lights, this area features a replica of the Eiffel Tower and a variety of slot machines.
  • Rio Gaming Plaza: With a vibrant carnival atmosphere, this plaza offers a wide selection of slots and electronic games.
  • Beijing Gaming Plaza: This area is designed to resemble the ancient city of Beijing, complete with traditional Chinese architecture and a vast array of slot machines.
  • London Gaming Plaza: Modeled after the iconic London skyline, this plaza offers a mix of classic and modern slot machines.
  • Madrid Gaming Plaza: Inspired by the Spanish capital, this area features a lively atmosphere and a diverse selection of slots.

Key Areas to Explore

1. High Limit Slot Area

For those looking to play with higher stakes, the High Limit Slot Area is a must-visit. Located near the main entrance, this area offers a more exclusive gaming experience with higher payout potential.

2. Non-Smoking Slot Area

Winstar Casino also caters to non-smokers with a dedicated non-smoking slot area. This section is perfect for players who prefer a smoke-free environment while enjoying their favorite slot games.

3. Progressive Jackpot Slots

Winstar Casino is home to several progressive jackpot slots that offer life-changing payouts. These machines are usually located in high-traffic areas, such as near the main entrance or in the themed gaming plazas.

Tips for Navigating the Slot Machine Map

1. Use the Winstar Mobile App

The Winstar Mobile App provides a virtual map of the casino floor, allowing you to locate specific slot machines and gaming areas. The app also offers real-time updates on promotions and events.

2. Ask Casino Staff

Casino staff, including slot attendants and customer service representatives, are always available to assist you. Don’t hesitate to ask for directions or recommendations on where to find specific slot machines.

3. Follow the Signs

Winstar Casino is well-marked with signs directing you to different gaming plazas and key areas. Pay attention to these signs to easily navigate the casino floor.

1. Wheel of Fortune

One of the most popular slot machines at Winstar, Wheel of Fortune offers exciting gameplay and the chance to win big.

Lightning Link is known for its high-energy gameplay and frequent payouts. This machine is a favorite among many players.

3. Buffalo

Buffalo slots are known for their immersive graphics and engaging gameplay. These machines are often found in high-traffic areas.

Dragon Link offers a unique Asian-themed gaming experience with the potential for substantial payouts.

Navigating the Winstar slot machine map can be made easy with the right tools and tips. Whether you’re a high roller or a casual player, Winstar World Casino and Resort offers a diverse selection of slot machines to suit every preference. Use the Winstar Mobile App, ask casino staff, and follow the signs to find your favorite games and make the most of your gaming experience.

slot diffuser catalogue

Welcome to our comprehensive Slot Diffuser Catalogue, your ultimate guide to the latest and most innovative slot diffusers available in the market. Whether you’re a seasoned player or a newcomer to the world of electronic slot machines, this catalogue will provide you with all the information you need to make an informed choice.

What is a Slot Diffuser?

A slot diffuser is a crucial component in electronic slot machines that helps in distributing the airflow evenly across the gaming area. It ensures that the machine operates efficiently and provides a comfortable environment for players.

Key Features of Slot Diffusers

  • Even Air Distribution: Ensures consistent airflow across the gaming area.
  • Noise Reduction: Minimizes operational noise for a quieter gaming experience.
  • Customizable Design: Available in various shapes, sizes, and colors to match the aesthetic of your gaming environment.
  • Easy Installation: Simple setup process with clear instructions.

Types of Slot Diffusers

1. Linear Slot Diffusers

  • Description: Ideal for linear airflow distribution.
  • Applications: Suitable for long gaming tables or multiple slot machines in a row.
  • Features:
    • Adjustable airflow direction.
    • Available in various lengths.
    • Easy to clean and maintain.

2. Perforated Slot Diffusers

  • Description: Designed with perforated panels for enhanced airflow.
  • Applications: Best for high-density gaming areas.
  • Features:
    • High airflow efficiency.
    • Aesthetically pleasing design.
    • Durable and long-lasting.

3. Louvered Slot Diffusers

  • Description: Features adjustable louvers for precise airflow control.
  • Applications: Suitable for areas requiring specific airflow patterns.
  • Features:
    • Adjustable louvers for directional control.
    • Robust construction.
    • Easy to customize.

4. Ceiling Slot Diffusers

  • Description: Installed on the ceiling for overhead airflow.
  • Applications: Ideal for large gaming halls.
  • Features:
    • Even distribution from above.
    • Concealed installation.
    • Minimal visual impact.

Benefits of Using Slot Diffusers

  • Enhanced Comfort: Provides a comfortable gaming environment by maintaining optimal temperature and airflow.
  • Energy Efficiency: Reduces energy consumption by optimizing airflow distribution.
  • Noise Reduction: Creates a quieter gaming experience by minimizing operational noise.
  • Aesthetic Appeal: Available in various designs to match the decor of your gaming area.

How to Choose the Right Slot Diffuser

  1. Determine the Application: Identify the specific needs of your gaming area.
  2. Consider Airflow Requirements: Assess the airflow needs based on the size and layout of your gaming area.
  3. Evaluate Design Options: Choose a design that complements the aesthetic of your gaming environment.
  4. Check Installation Requirements: Ensure the diffuser is easy to install and maintain.

Our Slot Diffuser Catalogue offers a wide range of options to suit various gaming environments and requirements. By choosing the right slot diffuser, you can enhance the comfort and efficiency of your gaming area, providing an optimal experience for your players. Explore our catalogue today and find the perfect slot diffuser for your needs.

best casino in las vegas to play slots

Las Vegas, the entertainment capital of the world, is home to some of the most luxurious and exciting casinos. For slot enthusiasts, choosing the best casino to play slots can be a daunting task. This article highlights the top casinos in Las Vegas where you can enjoy a thrilling slot experience.

1. Bellagio

Why Bellagio?

  • High-End Slot Machines: Bellagio offers a wide variety of high-end slot machines, including the latest and most innovative games.
  • Luxurious Atmosphere: The casino’s elegant design and ambiance provide a sophisticated gaming experience.
  • Promotions and Rewards: Regular promotions and loyalty programs ensure that players are well-rewarded.

Key Features:

  • Progressive Jackpots: Numerous progressive jackpot slots with life-changing payouts.
  • Exclusive Slot Tournaments: Regular slot tournaments with substantial prize pools.
  • High Limit Slot Area: A dedicated area for high rollers with exclusive machines and services.

2. The Venetian

Why The Venetian?

  • Variety of Slots: A vast selection of slot machines catering to all types of players.
  • European Elegance: The casino’s design reflects the elegance of Venice, creating a unique gaming environment.
  • Customer Service: Exceptional customer service and personalized attention.

Key Features:

  • Newest Slot Games: Regular updates with the latest slot games from top providers.
  • Slot Tournaments: Frequent slot tournaments with attractive prizes.
  • VIP Lounge: A luxurious VIP lounge for high-stakes players.

3. Wynn Las Vegas

Why Wynn Las Vegas?

  • State-of-the-Art Technology: The casino features the most advanced slot machines with cutting-edge technology.
  • Beautiful Ambiance: The casino’s stunning design and decor create an inviting atmosphere.
  • Exclusive Promotions: Special promotions and offers for slot players.

Key Features:

  • High-Limit Slots: A dedicated high-limit slot area with exclusive machines.
  • Slot Tournaments: Regular slot tournaments with substantial prize pools.
  • Personalized Service: Tailored service for high-stakes players.

4. Caesars Palace

Why Caesars Palace?

  • Historical Significance: One of the oldest and most iconic casinos in Las Vegas.
  • Diverse Slot Selection: A wide range of slot machines, from classic to modern.
  • Loyalty Programs: Extensive loyalty programs and rewards for frequent players.

Key Features:

  • Progressive Jackpots: Numerous progressive jackpot slots with potential for huge payouts.
  • Slot Tournaments: Regular slot tournaments with substantial prize pools.
  • High-Limit Slot Area: A dedicated area for high rollers with exclusive machines and services.

5. MGM Grand

Why MGM Grand?

  • Massive Casino Floor: One of the largest casino floors in Las Vegas, offering endless slot options.
  • Entertainment Hub: Located in the heart of the Strip, providing easy access to other attractions.
  • Regular Promotions: Frequent promotions and special offers for slot players.

Key Features:

  • Newest Slot Games: Regular updates with the latest slot games from top providers.
  • Slot Tournaments: Frequent slot tournaments with attractive prizes.
  • High-Limit Slots: A dedicated high-limit slot area with exclusive machines.

Choosing the best casino in Las Vegas to play slots depends on your preferences and playing style. Whether you prefer a luxurious atmosphere, a wide variety of games, or exclusive promotions, Las Vegas offers a casino experience that caters to every slot enthusiast. Consider visiting Bellagio, The Venetian, Wynn Las Vegas, Caesars Palace, or MGM Grand for an unforgettable slot gaming experience.

Frequently Questions

How to use a calculator to find the area of a slot?

To find the area of a slot using a calculator, first, measure the slot's length and width in the same unit. Then, input these values into the calculator. For a rectangular slot, multiply the length by the width to get the area. For a more complex slot shape, break it into simpler geometric forms (rectangles, triangles) and calculate each area separately. Add these areas together to find the total area of the slot. Ensure all measurements are in the same unit before calculating to avoid errors. This method is straightforward and efficient for any slot shape, making it easy to find the area with precision.

How to find the area of a slot with a calculator?

To find the area of a slot using a calculator, first, measure the slot's length and width in the same unit. Then, input these measurements into your calculator and multiply them together. For example, if the slot is 5 cm long and 3 cm wide, multiply 5 by 3 to get 15 square centimeters. If the slot has a more complex shape, divide it into simpler shapes, calculate each area separately, and sum them up. Always ensure measurements are accurate to get a precise area. This method works for rectangular slots; for other shapes, use the appropriate geometric formula.

 

How can I determine the area of a slot using a calculator?

To determine the area of a slot using a calculator, first, measure the slot's dimensions: length (L) and width (W). For a rectangular slot, simply multiply L by W. For a circular slot, measure the diameter (D), divide by 2 to get the radius (R), then use the formula πR². If the slot has irregular shapes, break it into simpler parts, calculate each area, and sum them up. Ensure your calculator has basic functions like multiplication, division, and π for accurate results. Always double-check measurements for precision. This method applies to both 2D and 3D slots, adjusting for depth in the latter.

What steps are involved in calculating the area of a slot?

Calculating the area of a slot involves several steps. First, measure the length and width of the slot. If the slot has a complex shape, divide it into simpler geometric shapes like rectangles or triangles. Next, calculate the area of each shape using the appropriate formula (e.g., length x width for rectangles). Finally, sum the areas of all the shapes to get the total area of the slot. For example, if a slot is divided into two rectangles, calculate the area of each and add them together. This method ensures accurate measurement even for irregularly shaped slots.

How can I determine the area of a slot using a calculator?

To determine the area of a slot using a calculator, first, measure the slot's dimensions: length (L) and width (W). For a rectangular slot, simply multiply L by W. For a circular slot, measure the diameter (D), divide by 2 to get the radius (R), then use the formula πR². If the slot has irregular shapes, break it into simpler parts, calculate each area, and sum them up. Ensure your calculator has basic functions like multiplication, division, and π for accurate results. Always double-check measurements for precision. This method applies to both 2D and 3D slots, adjusting for depth in the latter.