OUT OF STOCK
Looking for a reliable desktop solution to streamline your business operations? Introducing the HP Pro Tower 290 G9, your ultimate companion for productivity and performance. Equipped with the latest Intel Core processors, the HP Pro G9 ensures smooth multitasking and faster processing speeds. Enabling you to breeze through your daily tasks with ease. Furthermore, expand your storage capabilities effortlessly with multiple drive bays and slots. providing ample space for your files, documents, and applications. Say goodbye to storage constraints and hello to enhanced productivity. In addition, experience seamless connectivity with a range of ports, including USB, HDMI, and Ethernet, allowing you to connect to various devices and peripherals without hassle. Stay connected and productive wherever you go. Moreover, prioritize security with built-in features like HP Sure Start and HP Client Security Manager, safeguarding your data and sensitive information against potential threats and breaches. Protect your business with peace of mind. With its sleek and compact design, the HP Pro Tower 290 G9 fits seamlessly into any workspace, maximizing efficiency without compromising on style. Elevate your business setup with this reliable desktop solution. Discover the powerful HP Pro Tower 290 G9, designed to meet all your business needs efficiently. Specifications: CPU : Intel Core i7-12700U RAM : 8GB Storage : 512GB SSD NVMe GPU : Intel UHD OS : No OS Color : Black Part Number : 6D473EA
Acer Veriton S2690G DT.VWMEM.00E Core i3-12100 Acer Veriton S2690G DT.VWMEM.00E Core i3-12100 DOS 180W True TPM Intel H610 Yes 2 1x4GB 64GB 1TB Intel® UHD 730 Yes USB, E/A – 1 1 Gigabit 3 (2 Used) 4 Rear 4 Front HDMI + D-SUB + DP 5.1 Channel 3 Years Specifications: Acer Veriton S2690G DT.VWMEM.00E Core i3-12100 Core i3-12100 DOS 180W True TPM Intel H610 3 Years Warranty
Specifications : CORE I7 11700 4GB DDR4 1TB HDD DVDRW | Card Reader USB Keyboard & Mouse Integrated Intel UHD Graphics 750 DOS 1 Year Warranty manufacturer link
CPU CELERON , RAM 4GB , SSD 128GB +BUILT IN RECIEPT PRINTER 80MM 1 YEAR WARRANTY
The HP Pro Tower 290 G9 Desktop PC offers solid performance in a compact design. First, it features a powerful Intel Core processor to handle daily tasks quickly. Moreover, it supports up to 64 GB of DDR4 memory for smooth multitasking. In addition, the included graphics card delivers great visuals for creative work. Also, you get a large hard drive and fast SSD storage in one setup. Consequently, you can store files while enjoying fast system responsiveness. Furthermore, you’ll find multiple USB ports for all your peripherals. Plus, it includes audio jacks for speakers, headsets, and clear communications. Also, you get a Gigabit Ethernet port for steady, wired network access. Even better, the compact tower saves desk space without sacrificing power. Because it’s designed for business, reliability and long-term use come standard. Moreover, easy access to internal components makes upgrades simple later. As a result, you extend the life of your system with less hassle. Also, built-in security features help protect your sensitive data. Plus, it arrives Windows ready, so you can start using it right away. Furthermore, silent design keeps noise low during heavy workloads. In addition, it works well in offices, schools, or at home. Also, the brand name HP ensures trusted quality and support. Therefore, it gives peace of mind for personal or professional use. Then, you benefit from HP’s warranty and world-class customer care. Furthermore, energy-efficient design reduces power use and saves costs. Also, it fits under desks or in compact workspaces easily. Because of that, it’s flexible for many office setups and needs. Also, the HP Pro Tower 290 G9 Desktop PC meets current business demands. So, choose a reliable desktop that grows with your needs. Finally, enhance your workday with the HP Pro Tower 290 G9 Desktop PC. Specifications: CPU : Intel Core i5-13500 RAM : 8GB Storage : 512GB
Lenovo V50T Desktop Processor : Intel Core i5-10400 Memory : 4GB DDR4 Storage : 1TB HDD Graphics : Integrated Intel UHD Graphics 630 Operating System : None Looking for an affordable yet powerful desktop solution? The Lenovo V50T might be your answer. With the Lenovo V50T you get the best of both worlds: affordability and impressive performance. Equipped with modern components, the V50T Desktop ensures smooth multitasking and efficient performance for various tasks.Whether you’re tackling work projects or enjoying some entertainment, the Lenovo V50T Desktop can handle it effortlessly.Connectivity is a breeze, thanks to the numerous ports available. Hook up your devices seamlessly for a complete workstation. The ample storage space on the V50T Desktop allows you to store all your important files without worrying about running out of space. If speed matters to you, consider the SSD option. It boosts overall system responsiveness, making your tasks snappy.Worried about setup? Don’t be. The Lenovo V50T Desktop’s user-friendly design ensures a hassle-free installation process .Your data’s security matters. That’s why the V50T Desktop comes with modern security features to keep your information safe.In conclusion, the Lenovo V50T Desktop offers a budget-friendly solution without compromising on performance. Upgrade your computing experience today! Specifications: Lenovo V50T Desktop Processor : Intel Core i5-10400 Memory : 4GB DDR4 Storage : 1TB HDD Graphics : Integrated Intel UHD Graphics 630 Operating System : None Warranty : 1-Year Manufacturer link
Product Number 6M821EA Product Name HP All-in-One 27-cb1000ne All-in-One PC Motherboard Don Motherboard Specifications Motherboard Specifications Memory 16 GB DDR4-3200 MHz RAM (1 x 16 GB) Memory & Storage 16 GB memory; 1 TB SSD storage Internal Storage 1 TB PCIe® NVMe™ M.2 SSD Processor Type Intel Core i7 Processor Intel® Core™ i7-1255U (up to 4.7 GHz with Intel® Turbo Boost Technology, 12 MB L3 cache, 10 cores, 12 threads) Processor Family 12th Generation Intel® Core™ i7 processor Graphics Discrete Graphics Card NVIDIA® GeForce® MX450 (2 GB DDR5 dedicated) Ports 1 SuperSpeed USB Type-A 5Gbps signaling rate; 2 USB 2.0 Type-A; 1 RJ-45 Expansion Slots 2 M.2 (1 for SSD, 1 for WLAN) Network Interface Integrated 10/100/1000 GbE LAN Wireless Realtek 802.11a/b/g/n/ac (2×2) Wi-Fi® WLAN and Bluetooth® 5 combo Dimensions 61.26 x 20.8 x 47.58 cm Weight 6.59 kg Power Supply Type 90 W Smart AC power adapter Keyboard HP 225 White Wired Keyboard and mouse combo Webcam HP True Vision 720p HD privacy camera with integrated dual array digital microphones Specifications: Memory 16 GB DDR4-3200 MHz RAM (1 x 16 GB) Memory & Storage 16 GB memory; 1 TB SSD storage Internal Storage 1 TB PCIe® NVMe™ M.2 SSD Processor Type Intel Core i7 Processor Intel® Core™ i7-1255U 1 year warranty
Lenovo ThinkCentre M90a All-in-One 13AT001LUS is a high-performance business desktop designed for professional environments that require power, security, and reliability. It combines Intel Core Ultra processing with NVIDIA RTX graphics in a clean, space-saving all-in-one design. It features an Intel Core Ultra 7 265 vPro processor paired with NVIDIA GeForce RTX 4050 graphics. Therefore, it delivers strong performance for business applications, multitasking, content creation, AI workloads, and light to moderate GPU-accelerated tasks. In addition, Intel vPro technology enhances security and remote manageability for enterprise use. The system includes 64GB memory and a 1TB NVMe SSD. As a result, it provides extremely fast responsiveness, smooth multitasking, and ample storage for large business data and professional workloads. It has a 23.8-inch Full HD (1920×1080) touchscreen display with 120Hz refresh rate. Meanwhile, the high refresh rate ensures smoother visuals and a more responsive touch experience for daily business use. Lenovo designs the ThinkCentre M90a series for enterprise reliability and productivity. Therefore, this model is ideal for corporate offices, professional workstations, and advanced business environments. Specifications: CPU : Ultra 7 265 vPro RAM : 64GB Storage : 1TB SSD NVMe GPU : RTX 4050 OS : Windows 11 Pro Screen : 23.8″ (1920×1080) TOUCHSCREEN 120Hz Color : Black Part Number : A0006312
LENOVO M910t (10MM002GUM) Core i5 – 7500 4 GB DDR4 (4 Slots Max 64 GB) 1 TB 7.2K HDD DVD Recordable, Intel Integrated Graphics, Serial, Parallel, VGA, Display Ports DOS, Keyboard & Mouse
POS CPU CORE I5 , 4 GB RAM , SSD 128 GB SLIM DESIGN , DOUBLE DISPLAY 1 YEAR WARRANTY
The PCE PCD 12V 65Ah Deep Cycle Battery delivers dependable power for a wide range of applications. It provides stable energy over long discharge cycles. This battery supports regular use in marine, RV, solar, and backup power systems. It fits well where lasting performance matters. Moreover, the PCE PCD Deep Cycle Battery features a deep cycle design for long life and strong reliability. It tolerates repeated charging and discharging without damage. This increases uptime and reduces maintenance needs. Users enjoy continuous power without frequent replacements. In addition, the battery delivers 12 V and 65 Ah capacity for steady power delivery. This suits medium and high demand systems. Appliances, lights, and electronics receive reliable current. It helps systems stay stable in everyday use. Furthermore, the PCE PCD 12V 65Ah Deep Cycle Battery includes sturdy construction for long-lasting durability. The strong casing protects internal cells against wear and tear. This adds confidence in heavy use environments. Performance remains consistent over time. Also, the battery supports deep discharge recovery for extended service life. It recovers well even after heavy drain cycles. In addition, the PCE PCD Deep Cycle Battery is easy to install in many setups. It fits most battery holders and racks without fuss. Connections remain secure and simple. Furthermore, the PCE PCD Deep Cycle Battery supports stable performance in varying temperatures. It remains reliable in moderate heat and cold. This helps outdoor and mobile applications. Overall, the PCE PCD 12V 65Ah Deep Cycle Battery delivers strong power, lasting durability, and smooth performance. It fits home, marine, solar, and backup use. This battery is ideal for users who want dependable deep cycle energy every day. Specifications: Voltage : 12V Capacity : 65Ah
The PROLINK PRO1501SFCU Super Fast Charging UPS is designed to provide reliable backup power and voltage protection for computers, networking equipment, gaming systems, and office electronics. It helps keep essential devices operating during power interruptions and unstable electrical conditions. The UPS provides a 1500VA capacity and uses line interactive technology with Automatic Voltage Regulation (AVR). Additionally, AVR helps stabilize input voltage fluctuations and delivers safer power to connected devices. The PROLINK PRO1501SFCU features super-fast charging technology that significantly reduces battery recharge time after a power outage. Moreover, this feature ensures the UPS becomes ready for the next interruption more quickly. The UPS includes multiple protection functions against overload, short circuit, surge, and battery discharge conditions. Furthermore, these protection features help improve the safety and reliability of connected equipment. The PROLINK PRO1501SFCU includes LED status indicators and audible alarms for easier system monitoring. Therefore, users can quickly check operating conditions and power status during daily use. The compact design makes the UPS suitable for homes, offices, and small business environments. In addition, it provides dependable backup support for desktop PCs, routers, NAS devices, and CCTV systems. The PROLINK PRO1501SFCU Super Fast Charging UPS combines backup power, rapid battery charging, AVR technology, and advanced protection features. As a result, it provides a practical and reliable power protection solution for everyday applications. Specifications: Capacity : 1500VA Input : 140-230VAC Output : 230VAC Transfer Time : 2ms Battery Type : 12V Backup Time : 40 Min (Depending on the load) Part Number : PRO1501SFCU
【2021 New 60W PD Version】This well-rececived large power bank is now back with 2 high-speed USB-C PD ports to refresh your portable charging experience. USB-C (1) port can transfer up to 60W power to your laptop while USB-C (2) port can keep your phones charged at a maximum speed of Max. 27W on the go. 【Massive Capacity】Packed with a enormous capacity of 72000mAh/266Wh as well as battery management system, this portable charger can pump out enough power to multiple devices simultaneously and securely at a high power conversion rate up to 90%. (Note: not TSA-approved, not allowed on a plane) 【Off-Grid Power for CPAP】The high-performing DC 12V/5A (150W max.) cigarette lighter port is ready to boost most CPAP machines on the market with a CPAP adapter (PURCHASED SEPARATELY), including Philips Dreamstation, Resmed Airsense/Aircurve 10, and Resmed S9. Please turn OFF the heater & the humidifier for extended runtime. 【Faster Recharging】Recharge the battery pack at full-speed via a solar panel with the two-way DC port in 3-4 hours, and the two-way USB-C (1) port in 5-6 hours. Please note that the USB-C (1) port and the DC port CANNOT be used at the same time. 【10W Wireless Charging】Align your smartphone to the charging pad to get rid of cords jumbled in your bag. The smart indicator allows you to keep taps on real-time charging status effortlessly. DOES NOT support wireless earbuds, smartwatches, and other low-power devices. https://www.renogy.com/content/files/Manuals/RC-P72000-01%202018.3.23.pdf
The PCE Battery 12V 9Ah is a reliable and efficient power solution for various applications. Whether you need backup power for a UPS system or energy for your equipment, this battery ensures consistent performance. With a 12V output and 9Ah capacity, the PCE Battery delivers the power you need to keep your devices running smoothly. It’s ideal for use in security systems, emergency lighting, and other critical equipment. Designed for durability, the PCE Battery offers a long lifespan and requires minimal maintenance. Its sealed, lead-acid design ensures that it remains leak-proof and safe for use in different environments. The PCE Battery 12V 9Ah is compatible with a wide range of devices and systems. Whether you’re using it for home backup, industrial equipment, or a solar energy system, it provides dependable power when needed. This battery features advanced technology for efficient energy storage and reliable discharge. It also includes built-in safety features like overcharge and short-circuit protection, ensuring safe and stable operation. One of the key benefits of the PCE Battery is its easy installation. Whether you’re an expert or a beginner, this battery can be quickly installed and connected to your system with minimal effort. In conclusion, the PCE Battery 12V 9Ah is a perfect combination of reliability, performance, and safety. Choose this battery for a stable power supply and enjoy long-lasting energy for all your essential devices. Specifications: Voltage : 12V Capacity : 9Ah
The Yuasa SW280 Industrial VRLA Battery delivers dependable backup power for industrial systems. It uses Valve Regulated Lead Acid (VRLA) technology for safety and maintenance-free use. Also, its sealed design prevents leaks and allows flexible installation. First, this battery is built to last in tough environments. Moreover, it resists vibrations and shocks in heavy machinery settings. Therefore, it works well in factories, security systems, and telecom units. Second, the Yuasa SW280 provides high capacity and consistent performance. It delivers stable output during power outages or load changes. In addition, it supports long discharge times when needed. Consequently, your critical system stays operational without interruption. Also, this battery is easy to install and service. It fits standard industrial racks and cabinets. Plus, it has clear terminal markings for safe connection. Thus, technicians can install it quickly and correctly. Moreover, the VRLA design means no water topping up is required. Therefore, you avoid extra maintenance and reduce downtime. Furthermore, the sealed casing minimizes acid exposure risk. Hence, it is safer for indoor installations. Another key feature is reliable thermal performance. It operates well in temperatures from 0°C to 40°C. Also, it handles variations in industrial climates. Thus, it maintains long service life and consistent power. Importantly, Yuasa provides strong quality assurance. Their factories follow strict ISO standards for production. Also, full warranty coverage gives peace of mind. Hence, you can trust the battery for critical workloads. In summary, the Yuasa SW280 Industrial VRLA Battery combines durability, safety, and dependable power. Furthermore, its maintenance-free and sealed design adds convenience and protection. If you need a trusted industrial battery, this is an excellent choice. Specifications: Length (mm) : 151 Width (mm) : 65 Height (mm) : 97.5 Weight (kg) : 2.6 Nominal Voltage : 12
The PCE PCD 12V 100Ah Deep Cycle Battery delivers strong and reliable power for many applications. It offers a larger 100Ah capacity for extended use. This helps engines, systems, and devices run longer between charges. Users experience dependable energy when needed most. Moreover, the PCE PCD Deep Cycle Battery uses a deep cycle design built for repeated discharge and recharge. It supports long-term use without damage. This increases the battery’s lifespan and reduces replacements. Performance remains consistent over time. In addition, the battery provides a stable 12 V output for balanced power delivery. It suits solar systems, RVs, marine setups, and backup power solutions. Power stays steady for lights and appliances. Daily use becomes more efficient. Furthermore, the PCE PCD 12V 100Ah Deep Cycle Battery features a rugged casing that protects internal cells. The strong build resists wear and harsh conditions. This helps maintain performance in many environments. Durability feels reassuring. Also, the battery supports deep discharge recovery for long service life. It recovers well after heavy use cycles. This improves energy storage and reliability. Users rely on strong power anytime. In addition, the PCE PCD Deep Cycle Battery is easy to install in compatible racks and holders. Connections stay secure and simple. Setup feels user-friendly for both beginners and professionals. Installation remains smooth. Furthermore, the PCE PCD Deep Cycle Battery performs steadily across varying temperatures. It stays reliable in moderate heat and cold. This makes it ideal for outdoor and mobile use. Overall, the PCE PCD 12V 100Ah Deep Cycle Battery delivers dependable power, long life, and robust performance. It fits homes, boats, RVs, and solar systems. This battery is perfect for users who want strong, lasting deep cycle energy every day. Specifications: Voltage : 12V Capacity : 100Ah
The APC Smart-UPS RC 800W 1KVA Sine Wave SRC1KI provides reliable backup power for critical devices. First, it delivers pure sine wave output, ideal for sensitive electronics. In addition, the UPS protects connected equipment from power surges, spikes, and outages. Moreover, it features a compact design for easy placement in offices or server rooms. Finally, the unit includes an intuitive LCD interface for monitoring battery status and load. The SRC1KI ensures continuous operation and safeguards important systems during power interruptions. Specifications: 800W / 1KVA pure sine wave output for sensitive devices Protects against power surges, spikes, and outages Compact design for office or server room placement LCD interface for monitoring battery and load status Ensures continuous operation during power interruptions
Powerology Portable Power Generator,140400mAh Powerology 140400mAh Power Generator 500W Pure Sine-Wave Output -45W USB-C Power Delivery -18W USB-A Quick Charge -3.1A Dual USB Optimal Charge -220V UK AC Output -750W Max Surge
The PROLINK PRO1201 1200VA Super-Fast Charging UPS AVR is designed to provide reliable backup power and voltage protection for computers, networking equipment, and home electronics. It helps keep connected devices running during short power interruptions. The UPS provides a 1200VA capacity and uses Automatic Voltage Regulation (AVR) technology. Additionally, it helps stabilize unstable voltage levels to protect connected equipment from power fluctuations. The PROLINK PRO1201 features super-fast charging technology that helps reduce battery recharge time. Moreover, it allows the UPS to recover power faster after an outage and prepares it for future use. The UPS includes multiple protection features to help protect connected devices. Furthermore, it provides protection against overload, short circuit, surge, and low battery conditions during operation. The PROLINK PRO1201 features LED indicators that display important operating status information. Therefore, users can easily check the UPS condition and power status. The compact design makes the UPS suitable for homes, offices, and small workspaces. In addition, it provides a practical backup solution for computers, routers, and other essential devices. The PROLINK PRO1201 1200VA Super-Fast Charging UPS AVR combines backup power, voltage regulation, fast charging, and safety features. As a result, it provides reliable power support for everyday electronic equipment. Specifications: Capacity: 1200VA / 720W Technology: Automatic Voltage Regulation (AVR) Charging: Super-Fast Charging Technology Protection: Overload, Short Circuit, Surge, Low Battery Protection Display: LED Status Indicators
The ProLink PRO851SFCU Super Fast Charging UPS is designed to provide reliable backup power and voltage protection for computers, networking equipment, and home electronics. It helps keep essential devices operating during short power interruptions and unstable electrical conditions. The UPS provides an 850VA capacity and features line interactive technology with Automatic Voltage Regulation (AVR). Additionally, AVR helps stabilize voltage fluctuations and protects connected devices from overvoltage and undervoltage conditions. The ProLink PRO851SFCU features super-fast charging technology that significantly reduces battery recharge time after power outages. Moreover, this feature helps ensure the UPS is ready for future interruptions more quickly. The UPS includes multiple protection functions against overload, short circuit, surge, and battery discharge conditions. Furthermore, these protection features help improve the safety and reliability of connected equipment. The PRO851SFCU includes LED status indicators that allow users to monitor operating conditions easily. Therefore, users can quickly check power status, battery mode, and system operation. The compact design makes the UPS suitable for homes, offices, and small workspaces. In addition, it provides dependable backup support for desktop computers, routers, CCTV systems, and other important electronic devices. The ProLink PRO851SFCU Super Fast Charging UPS combines backup power, fast battery charging, AVR technology, and safety features. As a result, it provides a practical and reliable power protection solution for everyday use. Specifications: Capacity : 850VA Input : 230VAC Output : 230VAC Input Voltage : 510W Transfer Time : 2ms Battery Type : 12V/10Ah x1 Backup Time : 10-30 Min Part Number : PRO851SCFU
Prolink PRO3000SFCU 3000VA is a line-interactive UPS designed to provide stable backup power for PCs, servers, networking devices, and sensitive electronics. It ensures continuous operation during power cuts and voltage fluctuations. In addition, Prolink PRO3000SFCU 3000VA supports a wide input voltage range of 140–300VAC. Therefore, it stabilizes unstable electricity using automatic voltage regulation (AVR). Moreover, it delivers a fast transfer time of around 2ms for seamless switching between mains and battery mode. Furthermore, Prolink PRO3000SFCU 3000VA includes four 12V/10Ah batteries for extended backup support. As a result, it provides reliable runtime for critical systems depending on load. It also supports simulated sine wave output for compatible devices. In addition, Prolink PRO3000SFCU 3000VA features intelligent microprocessor control. Therefore, it improves efficiency, protection, and battery management. Moreover, it includes indicators and alarms for battery, overload, and fault conditions. Overall, Prolink PRO3000SFCU 3000VA delivers strong backup performance, stable voltage regulation, and reliable protection for home and office power needs. Specifications: 3000VA capacity for PCs and office equipment Line-interactive UPS with AVR voltage regulation Wide input range 140–300VAC for unstable power Fast ~2ms transfer time for uninterrupted switching Four 12V/10Ah batteries for extended backup support
UPS battery 12V 7A Battery for UPS 7A 12v
PCE EX Online 3 KVA 2700W is a double-conversion online UPS designed for continuous and stable power protection. It is used for sensitive equipment such as servers, network systems, and critical office devices that require uninterrupted electricity. In addition, PCE EX Online 3 KVA 2700W uses online double-conversion technology. Therefore, it provides zero transfer time between mains and battery mode. Moreover, it delivers clean and stable pure sine wave output for safe operation of connected devices. Furthermore, PCE EX Online 3 KVA 2700W supports a 3000VA / 2700W capacity rating. As a result, it can handle high-load systems such as multiple PCs and networking equipment. It also maintains consistent voltage regulation for sensitive electronics during unstable power conditions. In addition, PCE EX Online 3 KVA 2700W includes advanced protection features. Therefore, it guards against overload, short circuits, voltage fluctuations, and power failures. Moreover, it is designed for long-duration reliability in professional environments. Overall, PCE EX Online 3 KVA 2700W delivers strong performance, zero-interruption switching, and high-level protection for critical power backup needs. Specifications: 3000VA / 2700W high-capacity output Online double-conversion UPS technology Zero transfer time for uninterrupted power Pure sine wave output for sensitive devices Advanced protection against overload and faults
PCE EX Online 2 KVA 1800W is a double-conversion online UPS designed to deliver continuous and stable power protection for computers, servers, and sensitive electronic equipment. It ensures uninterrupted operation during outages and unstable voltage conditions. In addition, PCE EX Online 2 KVA 1800W uses true online double-conversion technology. Therefore, it provides zero transfer time between mains and battery mode. Moreover, it delivers a pure sine wave output for safe and stable power to connected devices. Furthermore, PCE EX Online 2 KVA 1800W supports a 2kVA / 1800W load capacity. As a result, it can handle multiple devices such as PCs, routers, and small servers. It also maintains stable voltage regulation for sensitive workloads. In addition, PCE EX Online 2 KVA 1800W includes advanced protection features. Therefore, it helps protect against overload, short circuits, and power fluctuations. Moreover, it is designed for consistent performance in professional and office environments. Overall, PCE EX Online 2 KVA 1800W delivers reliable, uninterrupted, and high-quality backup power for critical systems. Specifications: 2kVA / 1800W power capacity for multiple devices Online double-conversion UPS technology Zero transfer time for uninterrupted power Pure sine wave output for safe device operation Protection against overload and voltage fluctuations