FDP301 - Food Processor KENWOOD - Free user manual and instructions
Find the device manual for free FDP301 KENWOOD in PDF.
| Product type | Multifunction stand mixer (food processor) |
| Brand | Kenwood |
| Model | FDP301 |
| Power supply | 230 V, 50 Hz (check the label on the appliance) |
| Speeds | Continuous speed control + Pulse (P) position |
| Bowl | Stainless steel, capacity suitable for domestic use |
| Included tools | K-beater, whisk, dough hook, spatula |
| Additional accessories | Head cover, splash-proof lid |
| Accessory outlets | High-speed outlet, slow-speed outlet (Twist system), bowl outlet |
| Slow-speed outlet connection system | Twist (compatible with KAX accessories); KAT002ME adapter supplied for old Bar system accessories |
| Cleaning the bowl and tools | Hand wash or dishwasher (top rack, max 50°C) |
| Cleaning the motor unit | Wipe with a damp cloth, do not immerse |
| Safety | Automatic shut-off in case of overload, surge protection; do not use with head raised |
| Pulse function | Yes, for short pulses at maximum speed |
| Tool adjustment | Possible for K-beater and whisk using a spanner (17 or 19 mm) |
| Country of manufacture | China |
| Compliance | EMC Directive 2004/108/EC and food contact regulation 1935/2004/EC |
| After-sales service | Contact the retailer or an authorized Kenwood repairer |
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USER MANUAL FDP301 KENWOOD
Congratulations on buying a Kenwood. With such a wide range of attachments available, it's more than just a mixer. It's a state-of-the-art Kitchen Machine. We hope you'll enjoy it.
Robust. Reliable. Versatile. Kenwood.
Safety
- Read these instructions carefully and retain for future reference.
- Remove all packaging and any labels.
- Turn the speed control to 'O' OFF position and unplug before fitting or removing tools/attachments, after use and before cleaning.
- Keep your fingers away from moving parts and fitted attachments.
- Never leave the Kitchen Machine unattended when it is operating.
- Never use a damaged appliance. Get it checked or repaired: see 'service and customer care' section.
- Never operate the Kitchen Machine with the head in the raised position.
- Never let the cord hang down where a child could grab it.
- Never let the power unit, cord or plug get wet.
- Never use an unauthorised attachment or more than one attachment at once.
- Never exceed the quantities stated in the maximum capacity chart.
- When using an attachment, read and follow the safety instructions that are supplied with it.
-
Take care when lifting this appliance as it is heavy. Ensure the head is correctly latched in the down position and that the bowl, tools, outlet covers and cord are secure before lifting.
-
Ensure the cord is fully unfolded from the cord storage compartment ⑫ before using the Kitchen Machine.
- Children should be supervised to ensure that they do not play with the appliance.
- Do not move or raise the mixer head with an attachment fitted as the Kitchen Machine could become unstable.
- Do not operate your appliance near the edge of a work surface.
- Appliances can be used by persons with reduced physical, sensory or mental capabilities or lack of experience and knowledge if they have been given supervision or instruction concerning use of the appliance in a safe way and if they understand the hazards involved.
- Misuse of your appliance can result in injury.
- This appliance shall not be used by children. Keep the appliance and its cord out of reach of children.
- Only use the appliance for its intended domestic use. Kenwood will not accept any liability if the appliance is subject to improper use, or failure to comply with these instructions.
Before plugging in
- Make sure your electricity supply is the same as the one shown on the underside of your machine.
- This appliance conforms to EC directive 2004/108/EC on Electromagnetic Compatibility and EC regulation no. 1935/2004 of 27/10/2004 on materials intended for contact with food.
Before using for the first time
- Wash the parts: see 'care and cleaning' section.
Know your Kitchen Machine
Key
Attachment outlets
① high-speed outlet
② slow-speed outlet
③ bowl tool socket
Mixer
④ high speed outlet cover
⑤ mixer head
⑥ head release lever
⑦ speed and pulse control
⑧ standby button
⑨ power unit
⑩ bowl
⑪ slow speed outlet cover
⑫ cord storage compartment
⑬ K-beater
④ whisk
⑤ dough hook
⑥ spatula
head shield
⑱ splashguard
Note: Spanner 11 shown is for illustration purposes only and is not supplied in pack.
Optional attachments
There are a range of optional attachments available to use with your Kitchen Machine. See the attachment leaflet included in your pack or visit www.kenwoodworld.com to see the full range and how to buy an attachment not included in your pack.
Note: Slow Speed outlet attachments
The slow speed outlet on your Kitchen Machine model features the Twist Connection System. It is designed to accept Twist Connection System attachments. When purchasing new attachments for the slow speed outlet you should check compatibility with your Kitchen Machine. All Twist Connection System attachments can be identified by the product code which starts with KAX and also by the Twist logo which is visible on packaging. For more information visit www.kenwoodworld.com/twist. If you own attachments featuring the Bar Connection System (BAR) you will need to use the KAT002ME adaptor supplied in your pack to connect these to the Twist Connection System (TWIST) on your Kitchen Machine. (Refer to "Using the Adaptor" section for how to fit the adaptor.) For more information visit www.kenwoodworld.com/twist.
The bowl tools and some of their uses
K-beater
For making cakes, biscuits, pastry, icing, fillings, éclairs and mashed potato.
Whisk
For eggs, cream, batters, fatless sponges, meringues, cheeses, mousses,
souffles. Don't use the whisk for heavy mixtures (e.g. creaming fat and sugar) - you could damage it.
Dough Hook
For yeast mixtures only.
To use your bowl tools
Ensure the cord is fully unfolded from the cord storage compartment ⑫ before using the Kitchen Machine.
1 Plug in and the Standby Button ⑧ will light up.
Note: The standby button light ⑧ will flash and the Kitchen Machine will not operate if the mixer head is in the raised position or the speed control is not in the ‘O’ position. Before operating, check that the mixer head is correctly latched down and the speed control is in the ‘O’ position. If the light continues to flash refer to the ‘troubleshooting guide’.
2 Push the head-lift lever ① down and raise the mixer head until it locks ②.
3 Fit the bowl on the base and turn clockwise ③ to secure in position.
4 Place the required tool into the socket. Then push up 4 and turn 5 the tool to lock into position.
Note: If the K-beater or Whisk are not picking up ingredients from the bottom of the bowl refer to the "Tool Adjustment" section.
5 Lower the mixer head by pushing the head release lever down ⑥ and lower the mixer head until it locks ⑦.
6 Start the machine by turning the speed control ⑦ to the desired speed setting. Use the pulse (P) position for short bursts of maximum speed.
7 After use, return the speed control to 'O' OFF position and unplug your Kitchen Machine.
8 Release the tool by turning clockwise to unlock from the tool socket and then remove.
Hints
- To fully incorporate the ingredients stop mixing and scrape down the bowl with the spatula frequently.
- For best results when whisking use eggs at room temperature.
- Before whisking egg whites, make sure there is no grease or egg yolk on the whisk or bowl.
- Use cold ingredients for pastry unless your recipe says otherwise.
Points for bread making Important
- Never exceed the maximum capacities stated - you may overload the machine.
- If you hear the machine labouring, switch off, remove half the dough and do each half separately.
- The ingredients mix best if you put the liquid in first.
Yeast
- Dried yeast (the type that needs reconstituting): pour the warm water into the bowl. Then add the yeast and the sugar and leave to stand for about 10 minutes until frothy.
- Fresh yeast: crumble into the flour.
- Other types of yeast: follow the manufacturer's instructions.
- Put the dough into a greased polythene bag or a bowl covered with a tea towel. Then leave somewhere warm until doubled in size.
Important
Ensure that no bowl tools are fitted or stored in the bowl when using other outlets.
| Maximum capacities | Chef | Chef XL | |
| Shortcrust pastry | Flour weight | 680g/1lb 8oz | 910g/2lb |
| Bread dough(stiff yeasted) | Flour weight | 1.36kg/3lb | 1.6kg/3lb 8oz |
| Total weight | 2.18kg/4lb 3oz | 2.5kg/5lb 8oz | |
| Soft yeasted dough(enriched with butter and eggs) | Flour weight | 1.3kg/2lb 14oz | 2.6kg/5lb 12oz |
| Total weight | 2.5kg/5lb 8oz | 5kg/11lb | |
| Fruit cake mix(Creaming fat and sugar method) | Total weight | 2.72kg/6lb(9 Egg mix) | 4.55kg/10lb(15 Egg mix) |
| Egg whites | NumberWeight | 12(455g) | 16(605g) |
- Eggs sizes used = medium sized (Weight 53 - 63g)
| Tool | Recipe/Process | Recommended Speed |
| K-beater | Creaming butter/margarine and sugar | Start on ‘Min’ and gradually increase to ‘Max’ |
| Beating eggs into cake mixes | ‘4’ to ‘Max’ | |
| Folding in flour, fruit etc | ‘Fold’ to ‘1’ | |
| All In one cake mixes | Start on ‘Min’ and gradually increase to ‘Max’ | |
| Pastry & Biscuits – rubbing fat into flour | ‘Min’ to ‘2’ | |
| Royal Icing | ‘Min’ to ‘1’ | |
| Mashed Potatoes | Start on ‘Min’ and gradually increase to ‘Max’ | |
| Whisk | Egg Whites | Gradually increase to ‘Max’ |
| Fatless sponges | ||
| Cream | ||
| Dough Hook | For Yeasted dough mixes | ‘Min’ speed for 45 - 60 secs. Then increase to speed 1 for approx. 3 - 4minutes. |
| Re-knead on speed 1 |
To fit and use your Splashguard
To assemble
The splashguard assembly consists of 2 pieces: the head shield ⑦ and the splashguard ⑧ .
The splashguard cannot be fitted to the bowl unless the shield is fitted.
1 Raise the mixer head until it locks.
2 Clip the head shield upwards onto the underside of the mixer head ⑧ until fully located.
3 Fit the bowl onto the base.
4 Lower the mixer head.
5 Rest the splashguard on the bowl rim and then slide forward until fully located 9.
- During mixing, ingredients can be added directly to the bowl via the feed chute.
6 To remove the splashguard simply slide it away from the mixer bowl.
7 To remove the head shield, raise the mixer head until it locks. Remove the tool if fitted, then pull the head shield downwards from the underside of the mixer head.
Note: Only fit or remove the splashguard when the mixer head is in the locked position.
We recommend that the head shield is removed regularly from the mixer head for cleaning.
Tool Adjustment
K-beater & Whisk
The tools are set to the correct height for the bowl supplied in the factory and should not require adjustment.
However, if you wish to adjust the tool use a suitable sized spanner:
TYPE KVC50 = 17mm
TYPE KVL60 = 19mm
Then follow the instructions below:
1 Unplug the appliance.
2 Raise the mixer head and insert the whisk or beater.
3 Lower the mixer head. If the clearance needs to be adjusted, raise the mixer head and remove the tool. Ideally the whisk and K-beater should be almost touching the bottom of the bowl 10.
4 Using a suitable spanner loosen the nut sufficiently to allow adjustment of the shaft 11. To lower the tool closer to the bottom of the bowl, turn the shaft anticlockwise. To raise the tool away from the bottom of the bowl turn the shaft clockwise.
5 Re-tighten the nut.
6 Fit the tool to the mixer and lower the mixer head. (Check its position see points above).
7 Repeat the above steps as necessary until the tool is set correctly. Once this is achieved tighten the nut securely.
Note: Spanner 11 shown is for illustration purpose only.
Dough Hook
This tool is set at the factory and should require no adjustment.
Using the KAT002ME Adaptor
Using the Adaptor
1 Lift off the slow speed outlet cover by pressing the top and lifting off ①.
2 With the adaptor in the position shown (K logo on top), locate to the slow speed outlet and rotate to lock in place ② . The locking screw should be facing forward.
- Note: Before attempting to fit an attachment, check inside the adaptor to ensure the locking screw is unwound far enough to allow the attachment to be inserted.
3 Insert the attachment (turning both ways until it locates), then turn the locking screw ③ anti-clockwise to lock in position.
4 Refer to the individual attachment manual for usage instructions.
5 Reverse the above procedure to remove the attachment from the adaptor.
Cleaning
Always remove the attachment from the adaptor before cleaning the parts.
- The adaptor should only be wiped over with a damp cloth and should not be immersed in water. Do not place the adaptor in the dishwasher.
Care & Cleaning
Always switch off and unplug before cleaning.
- A little grease may appear at the slow speed outlet ② when you first use it. This is normal - just wipe it off.
Power Unit And Outlet Covers
- Wipe with a damp cloth, then dry.
- Never use abrasives or immerse in water.
- Store excess cord into the cord storage compartment ⑫ at the back of the machine.
Bowl
- Wash by hand, then dry thoroughly or wash in the dishwasher.
- Never use a wire brush, steel wool or bleach to clean your stainless steel bowl. Use vinegar to remove limescale.
- Keep away from heat (cooker tops, ovens, microwaves).
Tools & Splashguard
- Wash by hand, then dry thoroughly.
- Alternatively they are dishwasher safe and can be washed on the top rack of your dishwasher. Avoid placing items on the bottom rack directly over the heating element. A short low temperature (Maximum 50^ ) programme is recommended.
Service and Customer Care
- If the cord is damaged it must, for safety reasons, be replaced by KENWOOD or an authorised KENWOOD repairer. If you need help with:
- using your appliance
- servicing or repairs
-
Contact the shop where you bought your appliance.
-
Designed and engineered by Kenwood in the UK.
Made in China.
Important information for correct disposal of the product in accordance with EC Directive 2002/96/EC.
At the end of its working life, the product must not be disposed of as urban waste. It must be taken to a special local authority differentiated waste collection centre or to a dealer providing this service.
Disposing of a household appliance separately avoids possible negative consequences for the environment and health deriving from inappropriate disposal and enables the constituent materials to be recovered to obtain significant savings in energy and resources. As a reminder of the need to dispose of household appliances separately, the product is marked with a crossed-out wheeled dustbin.
Troubleshooting guide
| Problem | Cause | Solution |
| The whisk or K-beater knocks against the bottom of the bowl or not reaching the ingredients in the bottom of the bowl. | Tool at the wrong height and needs adjusting. | Adjust the height using a suitable spanner – see “Tool Adjustment” section. |
| Slow speed attachment cannot be fitted. | Check your attachment is compatible for use with your model. Twist connection system required (Model KAX) TWIST | Attachment must have the KAX twist connection system TWIST to fit the outlet. If you own attachments featuring the Bar Connection System (BAR) you will need to use the KAT002ME adaptor supplied to connect these to the Twist Connection System on your Kitchen Machine. For more information visit www.kenwoodworld.com/twist |
| Standby light flashing when Kitchen Machine first plugged in. | Speed control not in the ‘O’ position. Mixer head in the raised position or not locked down correctly. | Check and turn speed control to the ‘O’ position. Check Kitchen Machine head is locked down correctly. |
| The Kitchen Machine stops during operation. Standby light flashing rapidly. | Overload protection or overheat system activated. Maximum capacity exceeded. | Unplug and check for obstruction or overloading. Turn the speed control to “O” and then restart. If the machine will not operate, remove some of the ingredients to reduce the load and restart. If this still does not resolve the problem, unplug and allow to stand for 15 minutes. Plug in and reselect the speed. If the mixer does not restart following the above procedure contact “customer care” for further advice. |
| Standby light off whilst machine plugged in. | Kitchen machine has been left plugged in for more than 20 minutes without being operated and has gone into Standby mode. | Press the Standby button once to reset. |
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| Chef XL | Chef | الإستعمالالترجمة | |
| \( \rho_{\text{العربية}}91.1 \) | \( \rho_{\text{العربية}}71.1 \) | \( وعَن\dتالشرب\:ف:\ ) | \( ميرهُلْهُرِهُمُالَدَالَعَنِهُمُمُال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\_ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال.\ )\ ) |
| \( \rho_{\text{العربية}}51.1 \) | \( \rho_{\text{العربية}}41.1 \) | \( وعَن\dتالشرب\:f:\ ) | \( ميرهُلْهُرِهُمُمُال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:)\ ) |
| \( \rho_{\text{العربية}}51.0 \) | \( \rho_{\text{العربية}}51.1 \) | \( وعَن\dتالشرب\:f:\ ) | \( ميرهُلْهُرِهُمُمُمُال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:ال\:)\ ) |
| \( \rho_{\text{العربية}}58.00 \)(\( \rho_{\text{العربية}}10abls \)) | \( \rho_{\text{العربية}}51.V1 \)(\( \rho_{\text{العربية}}9abls \)) | \( وعَن\dتالشرب\:f:\ ) | \( ميرهُلْهُرِهُمُمُمُمُال\:ال\:ال\:ال\:ال\:ال\:ال\:)\ ) |
| \( 11 \)(\( \rho_{\text{العربية}}7.0 \)) | \( 11 \)(\( \rho_{\text{العربية}}200 \)) | \( وعَن\dتالشرب\:f:\ ) | \( ميرهُلْهُرِهُمُمُمُمُمُمُمُمُمُمُمُمُمُمُمُmُمُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُ mُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُmُn\d ) |
（p）
| الإستعمال الحرفية | الإستعمال الحرفية | الإستعمال |
| “Max” مصحيى بعس，“Max” مصحيى بعس | “Max” مصحيى بعس | K. مصحيى بعس |
| “Max” مصحيى بعس，“4” مصحيى بعس | “4” مصحيى بعس | ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ |
| “1” مصحيى بعس，“Fold” مصحيى بعس | “Fold” مصحيى بعس | ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ |
| “2” مصحيى بعس，“Min” مصحيى بعس | “Min” مصحيى بعس | ↓↓↓-↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↑ |
| “1” مصحيى بعس，“Min” مصحيى بعس，“Max” مصحيى بعس | “Min” مصحيى بعس | ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↑ |
| “Max” مصحيى بعس | “Max” مصحيى بعس | ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓▲ |
| 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ 1. ∴ | “Min” مصحيى بعس，“Max” مصحيى بعس，“Min” مصحيى بعس，“Max” مصحيى بعس | ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓ |
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$$ \therefore s _ {i} = \sum_ {j} a _ {i j} $$
$$ \begin{array}{c} \text {a r a l l j g a m m a p l u s i n w i t h} \ \text {j g a m m a} \end{array} $$
$$ \begin{array}{l} \text {g a l l} _ {j} \text {c g a m m a l} _ {j} \text {s j} \text {a l l} _ {j} \text {l u m e l} \ \text {‘} \text {a b i l l g a l i e l l} _ {j} \text {p a w e} \end{array} $$
$$ j _ {i} j _ {j} j _ {k} j _ {l} j _ {m} j _ {n} $$
$$ \omega = \frac {8 5}{1 1} $$
$$ \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$
$$ \therefore \mathrm {j} \text {g a l l} \mathrm {l} \text {g a l l} \mathrm {l} \text {g a l l} \mathrm {l} \text {g a l l} \mathrm {l} \text {g a l l} \mathrm {l} \text {g a l l} $$
$$ \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$
$$ \left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$
$$ \dot {c} \dot {s} \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {s} s \dot {S} 1 9 3 5 / 2 0 0 4 $$
$$ \therefore a _ {i} = \frac {1}{2} a _ {i} + \frac {1}{2} a _ {i} + \dots + \frac {1}{2} a _ {i} $$
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