Get Free Samples! Come fill out the form ! ! !

Call us: +86 0755-82563503

English

Currency: $ US Dollar

STM32F103C8T6
MFI343S00177
can I ask you a question please?
STM32F407VET6

Categories
- Integrated Circuits (ICs)
  - Integrated Circuits (ICs)
  - AC to DC Converter ICs
  - Active Filters
  - ADC
  - AFE
  - Analog Multipliers & Dividers
  - Analog Switches & Multiplexers ICs
  - Application Specific Microcontrollers
  - Application Specific Timer
  - Audio Amplifiers
  - Audio Special Purpose
  - Battery Chargers ICs
  - Battery Management ICs
  - Buffers & Transceivers
  - Capacitive Sensors
  - Clock Buffers & Drivers
  - Clock Generators
  - CODECs Interface ICs
  - Comparators
  - Configuration Proms for FPGAs
  - Controllers Interface ICs
  - Converting Interface ICs
  - Counters & Dividers
  - CPLDs
  - Current Regulator IC
  - DAC
  - DC DC Voltage Regulators
  - DC to DC converter
  - DDS
  - Delay Lines Timing ICs
  - Digital Potentiometers
  - Display Drivers ICs
  - Drivers Interface ICs
  - DSP
  - Embedded ICs Modules
  - Energy Metering ICs
  - FIFOs Memory
  - Flip Flops
  - FPGAs
  - FPGAs with Microcontrollers
  - Full & Half-Bridge Drivers ICs
  - Gate Drivers ICs
  - Gates & Inverters
  - Hot Swap Controllers
  - I/O Expanders
  - IC Batteries
  - Ideal Diode controller
  - Instrumentational OP Amps
  - Interface ICs Modules
  - Laser Driver ICs
  - Latches
  - LED Driver ICs
  - Lighting Controllers
  - Linear Comparators
  - Linear Regulator Controllers
  - Linear Voltage Regulators
  - Memory
  - Memory Batteries
  - Memory Controllers
  - Microcontrollers
  - Microprocessors
  - Modems ICs & Modules
  - Motor Drivers
  - Multi-Functional Gates & Inverters
  - Multivibrators
  - Multivibrators
  - PFC PMICs
  - PLDs
  - PoE Controllers
  - Power Supply Control ICs
  - Power Switches ICs
  - Programmable Timers & Oscillators
  - RMS to DC Converters
  - RTCs
  - Sensor & Detector Interface ICs
  - Serializers & Deserializers
  - Shift Registers
  - Signal Buffers
  - Signal Switches & Multiplexers
  - Signal Terminators
  - SoC
  - Special Purpose ADCs/DACs
  - Special Purpose Amplifiers
  - Special Purpose Analog Switches
  - Specialized ICs
  - Specialized Interface ICs
  - Specialized Power Management ICs
  - Specialized Voltage Regulators
  - Specialty Logic ICs
  - Switching Voltage Regulators
  - Telecom Interface ICs
  - Thermal Management
  - Touch Screen Controllers
  - UARTs
  - Universal Bus Functions
  - V/F & F/V Converters
  - Video Amps & Modules
  - Video Processing Linear ICs
  - Voice Record and Playback
  - Voltage Reference
  - Voltage Supervisors
  - Voltage Translators & Level Shifters
  - Integrated circuits, often referred to as ICs or microchips, are miniature electronic circuits that contain thousands to billions of transistors, resistors, capacitors, and other electronic components on a small semiconductor material. ICs are the building blocks of modern electronics and are used in a vast array of devices and systems, ranging from smartphones and computers to automotive electronics and medical devices. They provide compactness, high functionality, and improved performance by integrating multiple electronic functions onto a single chip.
- Connectors
  - Connectors
  - ARINC Connectors
  - Backplane Connector Contacts
  - Backplane Connectors Accessories
  - Backplane Connectors Housings
  - Backshells and Cable Clamps
  - Banana Tip Adapters
  - Banana Tip Binding Posts
  - Banana Tip Connectors Accessories
  - Banana Tip Jacks
  - Barrel Accessories
  - Barrel Adapters
  - Barrel Audio Connectors
  - Barrel Connectors
  - Barrel Power Connectors
  - Barrier Terminal Blocks
  - Between Series Adapters
  - Blade Type Power Connectors
  - Blade Type Power Connectors
  - Blade Type Power Connectors Accessories
  - Blade Type Power Connectors Housings
  - Board In Connectors
  - Board to Board Connectors
  - Card Edge Adapters
  - Card Edge Connectors Accessories
  - Card Edge Connectors Housings
  - Card Edge Contacts
  - Centronics Connectors
  - Circular Adapters
  - Circular Connectors
  - Circular Connectors Accessories
  - Circular Connectors Housings
  - Circular Contacts
  - Coaxial Connectors
  - Coaxial Connectors Accessories
  - D-Sub Adapters
  - D-Sub Connector Housings
  - D-Sub Connector Terminators
  - D-Sub Connectors
  - D-Sub Connectors Accessories
  - D-Sub Contacts
  - D-Sub Hoods
  - D-Sub Jackscrews
  - DIN 41612 Connectors
  - Din Rail Terminal Blocks
  - Edgeboard Connectors
  - Faceplates & Frames
  - Fiber Optic Adapters
  - Fiber Optic Connectors
  - Fiber Optic Connectors Accessories
  - Fiber Optic Connectors Housings
  - Flat Flexible Connector Housings
  - Flat Flexible Connectors
  - Flat Flexible Connectors Accessories
  - Flat Flexible Contacts
  - Foil Connectors
  - Hard Metric Connector
  - Headers & Male Pins
  - Heavy Duty Connectors Accessories
  - Heavy Duty Connectors Assemblies
  - Heavy Duty Connectors Frames
  - Heavy Duty Connectors Housings
  - Heavy Duty Connectors Modules
  - Heavy Duty Contacts
  - IC Adapters
  - IC and Component Sockets
  - IC Sockets Accessories
  - Inline Memory Module Sockets
  - Interface Modules Terminal Blocks
  - Keystone Accessories
  - Keystone Inserts
  - Knife Connectors
  - Leadframe Contacts
  - LGH Connectors
  - Magnetic Wire Terminals
  - Magnetics Modular Jacks
  - Memory Card Adapters
  - Memory Card Sockets
  - Memory Connectors Accessories
  - Modular Adapters
  - Modular Connectors Accessories
  - Modular Jacks
  - Modular Plug Housings
  - Modular Plugs
  - Multi Purpose Contacts
  - Panel Mount Connectors
  - Panel Mount Terminal Blocks
  - PC Pin Terminals
  - Photovoltaic Connectors
  - Photovoltaic Connectors Accessories
  - Photovoltaic Contacts
  - Pluggable Connectors
  - Pluggable Connectors Accessories
  - Pluggable Terminal Blocks
  - Power Distribution Terminal Blocks
  - Power Entry Connectors Accessories
  - Power Entry Connectors Modules
  - Quick-Connect & Quick-Disconnect Connectors
  - Rectangular Connectors
  - Rectangular Connectors Accessories
  - Rectangular Connectors Adapters
  - Rectangular Connectors Arrays
  - Rectangular Connectors Headers
  - Rectangular Connectors Housings
  - Rectangular Contact Inserts
  - Rectangular Terminals
  - RF Adapters
  - RF Contacts
  - RF Terminators
  - Ring Terminals
  - Screw Connectors
  - Shunts & Jumpers
  - Socket Terminals
  - Solder Lug Connectors
  - Spade Connectors
  - Specialized Backplane Connectors
  - Specialized Connectors
  - Specialized Terminal Blocks
  - Spring Loaded Contacts
  - Spring Loaded Rectangular Connectors
  - SSL Connectors
  - SSL Connectors Accessories
  - SSL Contacts
  - Terminal Block Adapters
  - Terminal Blocks - Contacts
  - Terminal Blocks Accessories
  - Terminal Jumpers
  - Terminal Junction Systems
  - Terminal Marker Strips
  - Terminal Strips and Turret Boards
  - Terminal Wire Ferrules
  - Terminals Accessories
  - Terminals Adapters
  - Terminals Housings
  - Transistor Sockets
  - Turret Connectors
  - Video Adapters
  - Video Connector Accessories
  - Video Connectors
  - Wire Pin Connectors
  - Wire Splice Connectors
  - Wire-to-Board Connectors
  - Wire-to-Board Terminal Blocks
  - Wiring Blocks Accessories
  - Wiring Modular Connectors
  - Connectors are devices used to establish electrical or mechanical connections between two or more components or systems. They provide a means for joining cables, wires, or other conductive elements, enabling the transmission of electrical signals, power, or data. Connectors come in a wide range of forms, including electrical connectors, coaxial connectors, modular connectors, and fiber optic connectors. They play a critical role in industries such as telecommunications, automotive, aerospace, and consumer electronics, facilitating reliable and secure connections.
- Discrete Semiconductors
  - Discrete Semiconductors
  - Arrays BJT Transistors
  - BJT Transistors Arrays
  - Bridge Rectifiers
  - DIACs and SIDACs
  - IGBTs Modules
  - IGBTs Transistors Arrays
  - JFETs Transistors
  - MOSFETs Transistors Arrays
  - Power Driver Modules
  - Pre-Biased BJT Transistors
  - Programmable Unijunction Transistors
  - Rectifier Diode Array
  - RF BJT Transistors
  - RF Diodes
  - RF MOSFETs Transistors
  - SCRs Thyristors
  - Single BJT Transistors
  - Single IGBTs
  - Single IGBTs
  - Single MOSFETs Transistors
  - Single-Phase Diode Rectifier
  - Specialized Transistors
  - Thyristors Modules
  - TRIACs Thyristors
  - Varactors
  - Zener Diode Arrays
  - Zener Single Diodes
  - Discrete Semiconductor refer to electronic components that are individual and separate from each other, as opposed to integrated circuits that contain multiple components on a single chip. These discrete components include diodes, transistors, thyristors, and other similar devices that perform specific functions in electronic circuits. They are commonly used in power supplies, amplifiers, and other electronic devices where precise control and regulation of electrical signals is required. Discrete Semiconductor Products are available in a variety of sizes, shapes, and specifications to meet the needs of different applications. They are widely used in the electronics industry and are essential components in many electronic devices.
- Capacitors
  - Capacitors
  - Aluminum Electrolytic Capacitors
  - Aluminum Polymer Capacitors
  - Capacitor Accessories
  - Capacitor Networks
  - Ceramic Capacitors
  - Ceramic Capacitors
  - Film Capacitors
  - Mica & PTFE Capacitors
  - Niobium Oxide Capacitors
  - Silicon Capacitors
  - Supercapacitors & EDLC
  - Tantalum Capacitors
  - Tantalum Polymer Capacitors
  - Thin Film Capacitors
  - Trimmers Variable
  - Capacitors are electronic components that store and release electrical energy. They consist of two conductive plates separated by an insulating material known as a dielectric. Capacitors are widely used in electronic circuits for various purposes, including energy storage, filtering, decoupling, timing, and coupling signals. They are available in different types, such as electrolytic capacitors, ceramic capacitors, and tantalum capacitors, each with unique characteristics suitable for different applications.
- Sensors
  - Sensors
  - CdS Cells
  - Accelerometers
  - Accessories
  - Amplifiers
  - Analog & Digital Sensor
  - Analog & Digital Sensors
  - Analog Optical Sensors
  - Angle & Linear Position Measuring Sensors
  - Camera Modules
  - Color Sensors
  - Current Sensors
  - Distance Measuring Sensors
  - Dust Sensors
  - Encoders
  - Float & Level Sensors
  - Flow Sensors
  - Force Sensors
  - Gas Sensors
  - Gyroscopes
  - Humidity Sensors
  - Image Sensors
  - IMUs
  - Inclinometers
  - IrDA Transceiver Modules
  - Junction Blocks
  - Logic Optical Sensors
  - Logic Photo Detectors
  - Logic Photointerrupters
  - LVDT Transducers
  - Magnetic Compass Sensors Modules
  - Magnetic Linear Sensors ICs
  - Magnetic Position Sensors Modules
  - Magnetic Switches
  - Mechanical Temperature Sensors
  - Multi Purpose Magnets
  - Multifunction
  - NTC Thermistors
  - Occupancy Sensors
  - Optical Motion Sensors
  - Optical Sensors Remote Receiver
  - Photodiodes
  - Photoelectric Sensors
  - Phototransistors
  - Proximity Sensors
  - PTC Thermistors
  - RTD
  - Sensor Cable Accessories
  - Sensor Cable Assemblies
  - Sensor Matched Magnets
  - Shock Sensors
  - Solar Cells
  - Solid State Thermostats
  - Specialized Sensors
  - Strain Gauges
  - Thermocouple Temperature Sensors
  - Tilt Switch Sensors
  - Touch Sensors
  - Transducers
  - Transistor Optical Sensors
  - Ultrasonic Receivers
  - UV Sensors
  - Vibration Sensors
  - Sensors are devices that detect and measure physical or environmental parameters and convert them into electrical signals. They enable the acquisition of real-world data for monitoring, control, and feedback purposes. Sensors can detect variables such as temperature, pressure, light, motion, proximity, and many others. They find application in diverse fields, including automotive systems, consumer electronics, industrial automation, healthcare, and environmental monitoring.
- Resistors
  - Resistors
  - Chassis Mount Resistors
  - Chip SMD Resistors
  - Chip SMD Resistors
  - Resistor Accessories
  - Resistor Arrays
  - Specialized Resistors
  - Through Hole Resistors
  - Resistors are passive electronic components designed to impede the flow of electric current in a circuit. They are used to control current levels, divide voltage, and limit power dissipation. Resistors are available in various types, including fixed resistors, variable resistors (potentiometers), and specialized resistors for specific applications such as high power or precision requirements. They are fundamental components in electronic circuits, playing roles in voltage regulation, signal conditioning, and impedance matching.
- Isolators
  - Isolators
  - Digital Isolators
  - Isolated Gate Drivers
  - Logic Optoisolators
  - Photovoltaic Optoisolators
  - Specialized Isolators
  - Triac Optoisolators
  - Isolators, also known as isolation devices or isolating components, are electronic components designed to electrically separate or isolate different parts of a circuit or system. They provide protection by preventing unwanted electrical currents, noise, or interference from affecting sensitive components or systems. Isolators are commonly used in applications where electrical isolation is crucial, such as power supplies, communication systems, motor control, and industrial automation. They ensure reliable operation, safety, and protection from electrical disturbances or faults.
- Board Mount Power Supplies
  - Board Mount Power Supplies
  - Board Mount AC DC Converters
  - Board Mount Accessories
  - Board Mount DC DC Converters
  - Off-board LED Drivers
  - Box and enclosure products refer to electronic components that are designed to protect and house electronic devices. These products come in a variety of shapes and sizes, and are typically made from materials such as plastic, metal, or fiberglass. Box and enclosure products are essential for protecting electronic components from environmental factors such as dust, moisture, and temperature fluctuations. They also provide a secure and organized way to store and transport electronic devices. Box and enclosure products are commonly used in industries such as telecommunications, aerospace, and automotive, as well as in consumer electronics.
- RF/IF & RFID
  - RF/IF & RFID
  - Attenuators
  - Balun
  - RF Accessories
  - RF Amplifiers
  - RF Antennas
  - RF Boards
  - RF Demodulators
  - RF Detectors
  - RF Directional Coupler
  - RF Front End
  - RF Misc ICs and Modules
  - RF Mixers
  - RF Modulators
  - RF Multiplexers
  - RF Power Controller ICs
  - RF Power Dividers
  - RF Receivers
  - RF Shields
  - RF Switches
  - RF Transceiver ICs
  - RF Transceiver Modules
  - RF Transmitter
  - RF Transmitters
  - RFI & EMI Contacts
  - RFI & EMI Materials
  - RFID Accessories
  - RFID Antennas
  - RFID Boards
  - RFID ICs
  - RFID Reader Modules
  - RFID Tags
  - RF power dividers/splitters are electronic components that are used to divide or split an incoming RF signal into multiple output signals. These components are commonly used in communication systems, such as radio and television broadcasting, as well as in radar and satellite communication systems. RF power dividers/splitters are designed to maintain signal integrity and minimize signal loss, ensuring that each output signal is of equal strength and quality. They come in various configurations, including 2-way, 3-way, 4-way, and 8-way, and can be used in both indoor and outdoor applications. RF power dividers/splitters are essential components in any RF system that requires signal distribution.
- Circuit Protection
  - Circuit Protection
  - Circuit Breakers
  - Circuit Protection Accessories
  - Electrical Fuses
  - Fuseholders
  - Fuses
  - GDT
  - GFCI
  - ICL
  - Lighting Protection
  - PTC Resettable Fuses
  - Surge Suppression ICs
  - Thermal Fuses
  - TVS Diodes
  - TVS Mixed Technology
  - TVS SPDs
  - TVS Thyristors
  - TVS Varistors
  - Circuit protection is a crucial aspect of electronic components classification. It refers to the measures taken to prevent damage to electronic circuits due to overvoltage, overcurrent, or short circuits. Circuit protection devices such as fuses, circuit breakers, surge protectors, and voltage regulators are used to safeguard electronic components from damage caused by power surges, lightning strikes, and other electrical disturbances. These devices are designed to interrupt the flow of current when the voltage or current exceeds a safe level, thereby protecting the circuit and preventing damage to the electronic components. Circuit protection is essential for ensuring the reliability and longevity of electronic devices and systems.
- Crystals
  - Crystals
  - Crystals
  - Crystals Accessories
  - Oscillators
  - Pin Configurable Oscillators
  - Programmable Oscillators
  - Resonators
  - Stand Alone Programmers
  - Voltage Controlled Oscillators
  - Crystals, in the context of electronics, refer to quartz crystals or other similar crystalline structures used as precise timing references or frequency-determining elements. These crystals exhibit a phenomenon called piezoelectricity, which allows them to generate a stable and accurate electrical signal when subjected to mechanical stress or voltage. Crystals are extensively used in oscillators
- Inductors
  - Inductors
  - Adjustable Inductors
  - Delay Lines
  - Fixed Inductors
  - Signal Transformers
  - Wireless Charging Coils
  - Inductors are passive electronic components that store electrical energy in the form of a magnetic field. They are typically made of a coil of wire wound around a core material and are used in various electrical circuits and systems. Inductors resist changes in current flow and are commonly employed in filtering, energy storage, impedance matching, and signal conditioning applications. They play a vital role in applications such as power supplies, radio frequency (RF) circuits, motor control, and electromagnetic compatibility (EMC) solutions.
- Filters
  - Filters
  - Cable Ferrites
  - Ceramic Filters
  - Common Mode Chokes
  - DSL Filters
  - EMI/RFI Filters
  - Feed Through Capacitors
  - Ferrite Beads and Chips
  - Ferrite Disks and Plates
  - Filters Accessories
  - Helical Filters
  - Monolithic Crystals
  - Power Line Filter Modules
  - RF Filters
  - SAW Filters
  - Filters are electronic components designed to selectively allow or block certain frequencies or ranges of frequencies in a signal or waveform. They are used to remove unwanted noise, interference, or specific frequency components, and to shape or modify the frequency response of a circuit or system. Filters can be classified into different types, such as low-pass, high-pass, band-pass, and band-stop filters, each serving specific purposes in applications ranging from audio and communication systems to power electronics and signal processing.
- View All

Items : %s%s

Relays

Relays are electrically operated switches that use an electromagnet to control the opening and closing of contacts. They are used to control the flow of electrical power or signals in circuits. Relays offer isolation between the control circuit and the circuit being controlled, allowing for safe switching of high-power loads or signals. They find widespread use in industrial automation, automotive electronics, control systems, and power distribution.

Relays Categories (57625)

Recommended Parts

Related Manufacturers

Panasonic Electric Works(8150)
Sensata-Crydom(4628)
TE Connectivity Aerospace, Defense and Marine(4603)
Siemens(4182)
Omron Automation and Safety(3901)
Omron Electronics Inc-EMC Div(3341)
Crydom Inc(2645)
TE Connectivity Potter & Brumfield Relays(1982)
Altech Corporation(1794)
Phoenix Contact(1700)
Finder Relays, Inc.(1379)
TE Connectivity(1200)
Carlo Gavazzi Inc.(1156)
Omron(1115)
Panasonic(786)
Coto Technology(784)
Weidmüller(608)
Fujitsu(558)
IDEC(467)
Cynergy 3(431)
TE Connectivity / P&B(430)
Amphenol PCD(394)
TE Connectivity / AMP(392)
Microsemi Corporation(346)
KEMET(276)
Altran Magnetics, LLC(273)
Schneider Electric(260)
Toshiba Semiconductor and Storage(239)
Grayhill Inc.(222)
Infineon Technologies(191)
Autonics(175)
Comus International(155)
Crouzet(146)
Standex-Meder Electronics(144)
Sharp Microelectronics(134)
Conta-Clip, Inc.(120)
Vishay Semiconductor Opto Division(116)
TE Connectivity AMP Connectors(95)
Song Chuan(92)
American Zettler(84)
Honeywell Sensing and Productivity Solutions(76)
Littelfuse Inc.(75)
Teledyne Relays(72)
Picker Components(67)
WAGO Corporation(60)
E-T-A(57)
SICK, Inc.(53)
NTE Electronics(51)
Magnecraft(49)
Advantech(47)
TE Connectivity / Schrack(47)
Panasonic Industrial Automation Sales(44)
CEL(40)
Littelfuse(39)
HONGFA EUROPE GMBH(39)
Panasonic Electronic Components(36)
Meder(32)
IXYS / Littelfuse(32)
CUI Devices(31)
Bright Toward Industrial Co., Ltd.(29)
American Electrical Inc.(28)
Celduc Relais(28)
IXYS Integrated Circuits Division(26)
Red Lion Controls(25)
B&B SmartWorx, Inc.(24)
Square D(24)
Banner Engineering Corporation(23)
Curtis Industries(23)
Struthers-Dunn(23)
TT Electronics/Optek Technology(20)
Opto 22(15)
TDK Electronics Inc.(14)
ON Semiconductor(12)
SHARP/Socle Technology(12)
Crydom(12)
Omron Electronics(11)
TE Connectivity Deutsch Connectors(10)
Hamlin(9)
SRC Devices(9)
Sensata Technologies – Crydom(8)
OEG(8)
Weidmuller(7)
Isocom Components 2004 LTD(7)
HF(Xiamen Hongfa Electroacoustic)(7)
iBASE Technology(6)
Aim Dynamics(6)
TE Connectivity / Midtex(6)
NEC(5)
Standex Electronics, Inc(5)
Aries Electronics(4)
TE Connectivity / Buchanan(4)
Thomas Research Products(4)
Sharp(4)
Coto(4)
Analog Devices Inc.(3)
TE Connectivity Ltd(3)
Renesas(3)
Cosmo Electronics(3)
Nais(3)
TE Connectivity / Kilovac(3)
KEMET Corporation(3)
TE Application Tooling(2)
Vishay(2)
Standex Electronics(2)
Amprobe(2)
Teledyne Technologies(2)
International Rectifier(2)
US Relays and Technology, Inc.(2)
Celduc(2)
Broadcom Limited(2)
Parallax Inc.(1)
Molex(1)
TE Connectivity Raychem Cable Protection(1)
Amphenol ICC (FCI)(1)
Amphenol ICC (Commercial Products)(1)
Industrial Shields(1)
ADLINK Technology(1)
Stancor(1)
Curtis Instruments Inc.(1)
Broadcom(1)
Sensata Technologies(1)
Electroswitch(1)
Panasonic Industrial Devices - FBD(1)
California Eastern Laboratories(1)
ABB Control(1)
Sensata-Cynergy3(1)
Rochester Electronics, LLC(1)
Toshiba(1)
EPCOS(1)
TE Connectivity Passive Product(1)
TE Connectivity / CII(1)
Crydom Incorporated(1)

Frequently Asked Questions

What is a relay and how does it work?

A relay is an electromechanical switch that allows the control of one electrical circuit by another circuit. It consists of a coil, an armature, and a set of contacts. Learn about the working principle of relays, including how the coil's energization controls the switching of the contacts.

What are the main types of relays available?

Explore the main types of relays, such as electromechanical relays, solid-state relays, reed relays, and latching relays. Understand their construction, operating principles, advantages, and suitable applications.

What are relays used for in electronic circuits?

Discover the various applications of relays in electronic circuits, such as switching high currents or voltages, controlling motors and actuators, providing galvanic isolation, and interfacing between different voltage levels or signal types. Learn how relays are essential components in automation, control systems, and power distribution.

How do I select the right relay for my application?

Get guidance on selecting the appropriate relay based on factors such as contact rating, coil voltage, switching speed, contact configuration, and environmental considerations. Consider the specific requirements and constraints of your circuit or system.

Where can I find reliable suppliers of relays?

Explore our list of trusted suppliers offering a wide range of high-quality relays. These suppliers are known for their reliable products, adherence to industry standards, and comprehensive selection of relay solutions.