# Fixed Point Math ⎊ Area ⎊ Resource 1 --- ## What is the Calculation of Fixed Point Math? Fixed point arithmetic represents numerical values by scaling integers to a fixed number of digits, providing a deterministic alternative to floating-point computations in resource-constrained environments. Quantitative analysts utilize this method to eliminate rounding errors inherent in standard hardware processors when executing complex derivatives pricing models. By mapping real numbers to a scaled integer domain, traders ensure identical outputs across disparate computing platforms, which remains a core requirement for consensus-critical blockchain protocols. ## What is the Implementation of Fixed Point Math? Smart contract developers adopt fixed point libraries to manage financial precision within decentralized finance applications where gas optimization and deterministic state transitions are vital. These implementations prevent the non-deterministic behavior of floating-point units that could otherwise lead to catastrophic discrepancies in collateral valuation or margin maintenance. Engineers define specific scaling factors to preserve necessary decimal accuracy while maintaining high-speed throughput for high-frequency trading logic on-chain. ## What is the Risk of Fixed Point Math? Financial institutions rely on fixed point architectures to mitigate systemic hazards associated with calculation drift during the execution of multi-leg options strategies. Any variance in the precision of pricing models during high volatility events can lead to significant slippage or erroneous liquidation triggers for under-collateralized positions. Maintaining a rigid numerical foundation allows for auditable and verifiable market analysis, ultimately securing the integrity of derivative contracts against software-induced execution failures. --- ## [Fixed Rate Lending](https://term.greeks.live/term/fixed-rate-lending/) Meaning ⎊ Fixed rate lending in DeFi offers predictable interest costs and returns, mitigating interest rate volatility through derivatives like zero-coupon bonds and yield tokenization. ⎊ Term ## [Fixed Rate](https://term.greeks.live/term/fixed-rate/) Meaning ⎊ Fixed rate instruments convert variable yield streams into predictable cash flows through derivatives-based yield tokenization, enabling robust risk management and capital efficiency in decentralized markets. ⎊ Term ## [Fixed-Fee Liquidations](https://term.greeks.live/term/fixed-fee-liquidations/) Meaning ⎊ Fixed-fee liquidations are a protocol design choice that offers a predetermined reward to liquidators, prioritizing predictable execution over dynamic profit optimization during market stress. ⎊ Term ## [Fixed Rate Lending Protocols](https://term.greeks.live/term/fixed-rate-lending-protocols/) Meaning ⎊ Fixed rate lending protocols create financial certainty in decentralized markets by tokenizing future yield and establishing on-chain yield curves for predictable capital costs. ⎊ Term ## [Fixed Rate Protocols](https://term.greeks.live/term/fixed-rate-protocols/) Meaning ⎊ Fixed rate protocols offer predictable cost of capital by locking in interest rates, mitigating volatility, and serving as a foundational layer for complex options and derivatives. ⎊ Term ## [Schelling Point Game Theory](https://term.greeks.live/term/schelling-point-game-theory/) Meaning ⎊ Schelling Point Game Theory explores how decentralized markets coordinate on key financial parameters like price and collateral without central authority, mitigating systemic risk through design. ⎊ Term ## [Fixed Rate Swaps](https://term.greeks.live/term/fixed-rate-swaps/) Meaning ⎊ Fixed Rate Swaps allow DeFi participants to manage yield volatility by converting variable APY streams into predictable, fixed returns. ⎊ Term ## [Tiered Fixed Fees](https://term.greeks.live/term/tiered-fixed-fees/) Meaning ⎊ Tiered fixed fees in crypto options provide predictable transaction costs for high-volume traders, decoupling fees from trade size and network congestion to incentivize liquidity provision. ⎊ Term ## [Fixed Transaction Cost](https://term.greeks.live/term/fixed-transaction-cost/) Meaning ⎊ Fixed transaction costs in crypto options, primarily gas fees, establish a minimum trade size that fundamentally impacts options pricing and market efficiency. ⎊ Term ## [Fixed-Fee Model](https://term.greeks.live/term/fixed-fee-model/) Meaning ⎊ Fixed-Fee Model establishes deterministic execution costs for derivatives, removing network volatility from the capital allocation equation. ⎊ Term ## [Fixed Fee](https://term.greeks.live/term/fixed-fee/) Meaning ⎊ A deterministic cost structure provides the mathematical certainty required for institutional liquidity to manage tail risk within decentralized markets. ⎊ Term ## [Fixed Discount Model](https://term.greeks.live/term/fixed-discount-model/) Meaning ⎊ The Fixed Discount Model provides a deterministic mathematical anchor for asset acquisition and liquidation within decentralized financial systems. ⎊ Term ## [Bankruptcy Point Calculation](https://term.greeks.live/term/bankruptcy-point-calculation/) Meaning ⎊ The Bankruptcy Point Calculation determines the terminal price threshold where trader equity reaches zero, triggering systemic backstop protocols. ⎊ Term ## [Fixed Emission Models](https://term.greeks.live/term/fixed-emission-models/) Meaning ⎊ Fixed Emission Models provide deterministic supply schedules to eliminate discretionary inflation risk and anchor long-term derivative valuation. ⎊ Term ## [Non-Linear Derivative Math](https://term.greeks.live/term/non-linear-derivative-math/) Meaning ⎊ Non-Linear Derivative Math establishes the mathematical architecture for pricing and managing asymmetric risk through second-order Greek sensitivities. ⎊ Term ## [Derivatives Math](https://term.greeks.live/definition/derivatives-math/) Quantitative analysis for derivatives. ⎊ Term ## [Fixed Income](https://term.greeks.live/definition/fixed-income/) Financial instruments, like bonds, that provide a steady and fixed rate of return to investors. ⎊ Term ## [Break-Even Point](https://term.greeks.live/definition/break-even-point/) The underlying asset price at which an option strategy results in neither profit nor loss. ⎊ Term ## [Reference Point Dependence](https://term.greeks.live/definition/reference-point-dependence/) The tendency to evaluate financial outcomes relative to a subjective benchmark rather than current absolute value. ⎊ Term ## [Breakeven Point](https://term.greeks.live/definition/breakeven-point/) The asset price level where the total profit or loss from an option trade is zero. ⎊ Term ## [Pivot Point](https://term.greeks.live/definition/pivot-point/) A technical indicator calculated from previous price data used to identify potential market support and resistance levels. ⎊ Term ## [Break-Even Point Calculation](https://term.greeks.live/term/break-even-point-calculation/) Meaning ⎊ Break-Even Point Calculation serves as the essential risk threshold identifying the price movement required to neutralize derivative position costs. ⎊ Term ## [Point of Control](https://term.greeks.live/definition/point-of-control/) The price level with the highest traded volume within a specific period, indicating the market's consensus fair value. ⎊ Term ## [Financial Math Foundations](https://term.greeks.live/definition/financial-math-foundations/) The bedrock of quantifying risk, pricing assets, and modeling uncertainty within complex financial derivative markets. ⎊ Term ## [Fixed Gas Cost Verification](https://term.greeks.live/term/fixed-gas-cost-verification/) Meaning ⎊ Fixed Gas Cost Verification provides deterministic transaction expenses for decentralized derivatives to ensure predictable strategy execution. ⎊ Term ## [Fixed Rate Transaction Fees](https://term.greeks.live/term/fixed-rate-transaction-fees/) Meaning ⎊ Fixed Rate Transaction Fees standardize operational costs, enabling predictable derivative strategy modeling within volatile decentralized markets. ⎊ Term ## [Fixed-Rate Models](https://term.greeks.live/term/fixed-rate-models/) Meaning ⎊ Fixed-Rate Models provide deterministic financial structures by enabling the lock-in of interest rates and asset prices in decentralized protocols. ⎊ Term ## [Fixed-Strike Asian Options](https://term.greeks.live/definition/fixed-strike-asian-options/) Asian options with a set strike price where the payoff depends on the average price of the asset over the term. ⎊ Term ## [Fixed-Strike Lookback](https://term.greeks.live/definition/fixed-strike-lookback/) Lookback options where the payoff is based on the difference between the strike and the extreme price reached. ⎊ Term ## [Fixed-Floating Swap](https://term.greeks.live/definition/fixed-floating-swap/) A derivative where one party pays a fixed rate and receives a floating rate, helping manage interest rate volatility. ⎊ Term --- ## Raw Schema Data ```json { "@context": "https://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://term.greeks.live/" }, { "@type": "ListItem", "position": 2, "name": "Area", "item": "https://term.greeks.live/area/" }, { "@type": "ListItem", "position": 3, "name": "Fixed Point Math", "item": "https://term.greeks.live/area/fixed-point-math/" }, { "@type": "ListItem", "position": 4, "name": "Resource 1", "item": "https://term.greeks.live/area/fixed-point-math/resource/1/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Calculation of Fixed Point Math?", "acceptedAnswer": { "@type": "Answer", "text": "Fixed point arithmetic represents numerical values by scaling integers to a fixed number of digits, providing a deterministic alternative to floating-point computations in resource-constrained environments. 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The entire structure forms a dynamic, wave-like twist, suggesting complex motion and interconnected components." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/non-linear-derivative-math/", "url": "https://term.greeks.live/term/non-linear-derivative-math/", "headline": "Non-Linear Derivative Math", "description": "Meaning ⎊ Non-Linear Derivative Math establishes the mathematical architecture for pricing and managing asymmetric risk through second-order Greek sensitivities. ⎊ Term", "datePublished": "2026-03-06T13:05:06+00:00", "dateModified": "2026-03-06T13:56:17+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/non-linear-payoff-structure-of-derivative-contracts-and-dynamic-risk-mitigation-strategies-in-volatile-markets.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution technical rendering displays a flexible joint connecting two rigid dark blue cylindrical components. 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The plate's center features inner green and outer dark blue rings." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/fixed-income/", "url": "https://term.greeks.live/definition/fixed-income/", "headline": "Fixed Income", "description": "Financial instruments, like bonds, that provide a steady and fixed rate of return to investors. ⎊ Term", "datePublished": "2026-03-09T13:45:52+00:00", "dateModified": "2026-03-09T14:14:32+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/multi-layered-collateralized-debt-obligation-structure-and-risk-tranching-in-decentralized-finance-derivatives.jpg", "width": 3850, "height": 2166, "caption": "This close-up view shows a cross-section of a multi-layered structure with concentric rings of varying colors, including dark blue, beige, green, and white. The layers appear to be separating, revealing the intricate components underneath." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/break-even-point/", "url": "https://term.greeks.live/definition/break-even-point/", "headline": "Break-Even Point", "description": "The underlying asset price at which an option strategy results in neither profit nor loss. ⎊ Term", "datePublished": "2026-03-09T19:22:37+00:00", "dateModified": "2026-03-09T19:24:15+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-automated-smart-contract-execution-and-settlement-protocol-visualized-as-a-secure-connection.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution visualization showcases two dark cylindrical components converging at a central connection point, featuring a metallic core and a white coupling piece. The left component displays a glowing blue band, while the right component shows a vibrant green band, signifying distinct operational states." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/reference-point-dependence/", "url": "https://term.greeks.live/definition/reference-point-dependence/", "headline": "Reference Point Dependence", "description": "The tendency to evaluate financial outcomes relative to a subjective benchmark rather than current absolute value. ⎊ Term", "datePublished": "2026-03-10T03:15:09+00:00", "dateModified": "2026-03-31T15:08:33+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/tokenized-assets-and-collateralized-debt-obligations-structuring-layered-derivatives-framework.jpg", "width": 3850, "height": 2166, "caption": "A series of colorful, smooth objects resembling beads or wheels are threaded onto a central metallic rod against a dark background. The objects vary in color, including dark blue, cream, and teal, with a bright green sphere marking the end of the chain." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/breakeven-point/", "url": "https://term.greeks.live/definition/breakeven-point/", "headline": "Breakeven Point", "description": "The asset price level where the total profit or loss from an option trade is zero. ⎊ Term", "datePublished": "2026-03-10T11:03:31+00:00", "dateModified": "2026-03-10T11:04:25+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-linkage-system-modeling-conditional-settlement-protocols-and-decentralized-options-trading-dynamics.jpg", "width": 3850, "height": 2166, "caption": "The image displays a clean, stylized 3D model of a mechanical linkage. A blue component serves as the base, interlocked with a beige lever featuring a hook shape, and connected to a green pivot point with a separate teal linkage." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/pivot-point/", "url": "https://term.greeks.live/definition/pivot-point/", "headline": "Pivot Point", "description": "A technical indicator calculated from previous price data used to identify potential market support and resistance levels. ⎊ Term", "datePublished": "2026-03-11T01:01:42+00:00", "dateModified": "2026-03-11T01:02:48+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperability-protocol-architecture-for-cross-chain-liquidity-provisioning-and-perpetual-futures-execution.jpg", "width": 3850, "height": 2166, "caption": "The image displays a close-up view of a high-tech mechanical joint or pivot system. It features a dark blue component with an open slot containing blue and white rings, connecting to a green component through a central pivot point housed in white casing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/break-even-point-calculation/", "url": "https://term.greeks.live/term/break-even-point-calculation/", "headline": "Break-Even Point Calculation", "description": "Meaning ⎊ Break-Even Point Calculation serves as the essential risk threshold identifying the price movement required to neutralize derivative position costs. ⎊ Term", "datePublished": "2026-03-11T13:04:42+00:00", "dateModified": "2026-03-11T13:05:03+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-oracle-integration-for-collateralized-derivative-trading-platform-execution-and-liquidity-provision.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a flexible blue component connecting with a rigid, vibrant green object at a specific point. The blue structure appears to insert a small metallic element into a slot within the green platform." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/point-of-control/", "url": "https://term.greeks.live/definition/point-of-control/", "headline": "Point of Control", "description": "The price level with the highest traded volume within a specific period, indicating the market's consensus fair value. ⎊ Term", "datePublished": "2026-03-11T14:56:26+00:00", "dateModified": "2026-04-13T21:02:42+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interoperability-protocol-architecture-smart-contract-execution-cross-chain-asset-collateralization-dynamics.jpg", "width": 3850, "height": 2166, "caption": "The image displays a cross-sectional view of two dark blue, speckled cylindrical objects meeting at a central point. Internal mechanisms, including light green and tan components like gears and bearings, are visible at the point of interaction." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/financial-math-foundations/", "url": "https://term.greeks.live/definition/financial-math-foundations/", "headline": "Financial Math Foundations", "description": "The bedrock of quantifying risk, pricing assets, and modeling uncertainty within complex financial derivative markets. ⎊ Term", "datePublished": "2026-03-11T22:03:21+00:00", "dateModified": "2026-03-11T22:06:17+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-structured-financial-product-architecture-modeling-systemic-risk-and-algorithmic-execution-efficiency.jpg", "width": 3850, "height": 2166, "caption": "A cutaway view reveals the internal machinery of a streamlined, dark blue, high-velocity object. The central core consists of intricate green and blue components, suggesting a complex engine or power transmission system, encased within a beige inner structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/fixed-gas-cost-verification/", "url": "https://term.greeks.live/term/fixed-gas-cost-verification/", "headline": "Fixed Gas Cost Verification", "description": "Meaning ⎊ Fixed Gas Cost Verification provides deterministic transaction expenses for decentralized derivatives to ensure predictable strategy execution. ⎊ Term", "datePublished": "2026-03-13T08:33:32+00:00", "dateModified": "2026-03-13T08:34:16+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-execution-module-trigger-for-options-market-data-feed-and-decentralized-protocol-verification.jpg", "width": 3850, "height": 2166, "caption": "The image displays a high-tech, futuristic object, rendered in deep blue and light beige tones against a dark background. A prominent bright green glowing triangle illuminates the front-facing section, suggesting activation or data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/fixed-rate-transaction-fees/", "url": "https://term.greeks.live/term/fixed-rate-transaction-fees/", "headline": "Fixed Rate Transaction Fees", "description": "Meaning ⎊ Fixed Rate Transaction Fees standardize operational costs, enabling predictable derivative strategy modeling within volatile decentralized markets. ⎊ Term", "datePublished": "2026-03-13T13:19:55+00:00", "dateModified": "2026-03-13T13:20:39+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-decentralized-finance-structured-products-intertwined-asset-bundling-risk-exposure-visualization.jpg", "width": 3850, "height": 2166, "caption": "A close-up view reveals a tightly wound bundle of cables, primarily deep blue, intertwined with thinner strands of light beige, lighter blue, and a prominent bright green. The entire structure forms a dynamic, wave-like twist, suggesting complex motion and interconnected components." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/fixed-rate-models/", "url": "https://term.greeks.live/term/fixed-rate-models/", "headline": "Fixed-Rate Models", "description": "Meaning ⎊ Fixed-Rate Models provide deterministic financial structures by enabling the lock-in of interest rates and asset prices in decentralized protocols. ⎊ Term", "datePublished": "2026-03-14T09:17:36+00:00", "dateModified": "2026-03-14T09:18:22+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-protocol-mechanics-illustrating-automated-market-maker-liquidity-and-perpetual-funding-rate-calculation.jpg", "width": 3850, "height": 2166, "caption": "A close-up view presents an abstract mechanical device featuring interconnected circular components in deep blue and dark gray tones. A vivid green light traces a path along the central component and an outer ring, suggesting active operation or data transmission within the system." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/fixed-strike-asian-options/", "url": "https://term.greeks.live/definition/fixed-strike-asian-options/", "headline": "Fixed-Strike Asian Options", "description": "Asian options with a set strike price where the payoff depends on the average price of the asset over the term. ⎊ Term", "datePublished": "2026-03-14T12:55:07+00:00", "dateModified": "2026-03-14T12:55:47+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/abstract-layered-derivative-structures-and-complex-options-trading-strategies-for-risk-management-and-capital-optimization.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution, abstract close-up reveals a sophisticated structure composed of fluid, layered surfaces. The forms create a complex, deep opening framed by a light cream border, with internal layers of bright green, royal blue, and dark blue emerging from a deeper dark grey cavity." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/fixed-strike-lookback/", "url": "https://term.greeks.live/definition/fixed-strike-lookback/", "headline": "Fixed-Strike Lookback", "description": "Lookback options where the payoff is based on the difference between the strike and the extreme price reached. ⎊ Term", "datePublished": "2026-03-14T12:57:52+00:00", "dateModified": "2026-03-14T12:59:34+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-decentralized-finance-structured-products-intertwined-asset-bundling-risk-exposure-visualization.jpg", "width": 3850, "height": 2166, "caption": "A close-up view reveals a tightly wound bundle of cables, primarily deep blue, intertwined with thinner strands of light beige, lighter blue, and a prominent bright green. The entire structure forms a dynamic, wave-like twist, suggesting complex motion and interconnected components." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/fixed-floating-swap/", "url": "https://term.greeks.live/definition/fixed-floating-swap/", "headline": "Fixed-Floating Swap", "description": "A derivative where one party pays a fixed rate and receives a floating rate, helping manage interest rate volatility. ⎊ Term", "datePublished": "2026-03-16T01:30:37+00:00", "dateModified": "2026-03-16T01:31:05+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/hard-fork-divergence-mechanism-facilitating-cross-chain-interoperability-and-asset-bifurcation-in-decentralized-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "Two teal-colored, soft-form elements are symmetrically separated by a complex, multi-component central mechanism. The inner structure consists of beige-colored inner linings and a prominent blue and green T-shaped fulcrum assembly." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/collateralized-debt-position-liquidation-mechanism-illustrating-risk-aggregation-protocol-in-decentralized-finance.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/fixed-point-math/resource/1/