An unusual broken egg can similarly have unusual signs of the future to come. No, it is its Mass * Acceleration. Depending on the height at which the egg was dropped, the change of velocity from V1 m/s to 0 m/s divided by the Intermediate problems of Dynamic programming, Egg Dropping Puzzle with 2 Eggs and K Floors, Eggs dropping puzzle (Binomial Coefficient and Binary Search Solution), Decision Trees - Fake (Counterfeit) Coin Puzzle (12 Coin Puzzle). Chickens that have been laying eggs for many years and are already completing their cycle sometimes produce double-yolk eggs. To protect your house from lightning, gather hazel tree branches on Palm Sunday and keep them in water. Wigington, Patti. Some Asian cultures consider eggs to be a sign of good luck and wealth. Drop the egg from the first-floor window; if it survives, drop it from the second-floor window. This could be the sign you need to avoid any loss. Otherwise, evil spiritsand even witches!could sail the seven seas in the shell cups, and sink entire fleets with their sorcery and magic. If you are considering starting a family, a broken egg might represent your anxiety and desire for this. There are many ways that an egg might be presented in life, or even in a dream. Web. As the rain picks up and the wind begins to howl, the man you will marry will come through the door and pick up the egg. This large force causes the shell to break. In fact knowledge of omens is a science according . However, the broken egg may appear before it has happened, like a warning. Scatter Solomons seal on the floor to banish serpents and venomous creatures from the room. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. Since we need to minimize the number of trials in the worst case, we take a maximum of two cases. Now try filling the bottle with salty water. Dropping and breaking an egg is an announcement of good news. Avoid any conversations that could lead to arguments or situations that could turn negative. Eggs symbolize hope, rebirth, new life, fertility, luck, and wealth. Eggs are the very start of new life, and represent the continuing of the cycle of life. This legend became part of American folklore in the 18th century, when German immigrants settled in the eastern U.S. Little do we realize that eggs actually hold significant spiritual meaning. 2- Dreaming of an Easter egg indicates there is a great deal of potential available to us on a mental level that needs releasing. Suppose 2 eggs are available. Egg dropping refers to a class of problems in which it is important to find the correct response without exceeding a (low) number of certain failure states. Examining the soundness of scientific knowledge, Valia Allori probes the hidden For a man, two yolks could mean a sudden gain in wealth and money. Custom programming and server maintenance by Reinvented Inc. Good Luck Superstitions and Old Wives' Tales, 11 Ways to Reuse or Recycle a Christmas Tree. Why adding a fizzy drink to ice does the temp drop below the temp of the ice? Well, now you know one more sign, it remains only to check it. Here are a couple that really stuck with me and bring back wonderful memories! For example- If we have 1 egg and K floors, we will start dropping the egg from the first floor till the egg breaks suppose on the Kth floor so the number of tries to give us surety is K. 2023Yankee Publishing, Inc., An Employee-Owned Company WebA. Even thoughthe majority of us say that we are not superstitious, we avoid walking under ladders and practicing othersuperstituous behavior! So not only should you take note of the time the egg broke, but how the egg broke too. When we look at something as a whole, we can see how all the individual parts work together to create something new and beautiful. A broken egg in a dream might be a sign that your good luck has run out, and that you have bad luck ahead. Similar to a warning, if you have a big decision up ahead, a broken egg in a dream might be a reminder to think twice about the decision, and to really take your time to decide what would be best for you. Here are some meanings that breaking an egg, or broken eggs, might have in a dream, which are all closely tied to the spiritual meaning of breaking eggs. Egg Magic and Folklore. Breaking an egg in the afternoon usually means that you could suffer some kind of financial loss on that day. What is the spiritual meaning of broken eggs? Below are 11sayings for good luck in your home come from The Old Farmers Almanac folklore archives. As you can see, for women, a double yolk is always a good sign, since the egg itself is a symbol of fertility and the emergence of new life. As experts say, this happens once in a thousand eggs. In a toy Finally, there are more omens a breaking or broken egg can hold depending on the nature of the egg itself. In this case, a broken egg is better news than an egg that survived the fall! Keep adding salt until the egg starts to float. An egg that survives a fall can be used again. Puzzle | Program to find number of squares in a chessboard, A product array puzzle | Set 2 (O(1) Space). A broken egg cannot be put back together again, just as you may not be able to undo your actions. There is also the belief that it could mean you might experience the loss of something important to you. Eggs are a symbol of new life and birth, so breaking an egg could be a sign that trouble is up ahead, or that something less than ideal happened and cannot be undone. It is, after all, representative of new life. Superstitions connected with a house. Little do we realize that eggs actually hold significant spiritual meaning. If you fry an egg with two yolks, this sign promises that a person will soon sort out all the tangled and difficult matters that have long awaited a decision. If you drop an egg on the floor its speed changes from about 3m/s to stopped in a very short period of time, this means that is accelerates (decelerates) very rapidly. If the egg doesnt break after dropping from the xth floor, then we only need to check for floors higher than x; so the problem reduces to k-x floors and n eggs. But opting out of some of these cookies may affect your browsing experience. Churchgists.com covers prayers, spiritual meaning, bible verses and dreams interpretation. A large acceleration requires a large force and because this force is concentrated in one place the eggshell isn't strong enough to support this force and it breaks. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Required fields are marked *. When the egg hits the ground with a given force, the ground exerts the same force back on the egg. This could be the sign you need to avoid any loss. Sometimes in life, this could be a positive. Information presented on this website is the opinion of the individual contributors and does not reflect the general views of the administrators, editors, moderators, sponsors, Cambridge University or the public at large. Superstition states to expect a female caller if one drops a fork. In a dream, this could be you realizing that you have not achieved your goals and plans and that you feel as though you have let yourself down. The cookie is used to store the user consent for the cookies in the category "Other. A broken egg may show that you are having problems with fertility, or simply that is something that is concerning you. The festival of No Ruz predates the reign of Cyrus the Great, whose rule (580-529 b.c.e.) Many believe that the time of day an egg breaks and how an egg breaks can have some foreboding meaning. You are given two eggs, and access to a 100-storey building. The simple explanations were nice and easy to read and understand. No, it takes much more force to break an egg. The weight of an egg is the gravitational force exerted by the Earth on the egg, and is typically 0.6 what about taking new box of salt to your new home Superstitions has anyone heard of this ? However, if this is represented through a broken egg, then you should take it as a bad sign. A broken eggshell could be a representation of your feelings of vulnerability or anxiety. Owl Folklore and Legends, Magic and Mysteries. This is a warning to not trust those who might be against you and to look for any signs that someone is not who they seem. The breaking of eggs during this festival symbolizes the breaking open of life in all its forms: flowers blooming, birds singing, and humans being born. WebNo, it takes much more force to break an egg. There is also a very bad belief. Eggs also bringpurity and hopeand are a sign of fertility andnew life to come. He wasnt quite so happy hed had the snip three years earlier. Large eggs, such as those from an ostrich indicate bigger fortune and good luck up ahead. Letting go of unnecessary things, possibly past experiences or unhelpful attitudes. You can say "I appreciate it" or "I'm so grateful" or whatever - just don't say "Thank you". What is the spiritual meaning of breaking eggs? Further back, some ancient cultures believed that the creation of the universe is tied to the egg or the concept of one and that the earth itself was born from an egg. Lets look more closely at what broken eggs could mean. Spiritual meaning of 2 yolks in one egg for everyone. First try protecting the egg using just a strong box. Fill a box with the foam and place the egg in the center. Breaking a rotten egg is not a good sign. As eggs represent fertility, some believe that a broken eggcould represent infertilityor trouble in this aspect of your life, which can be a distressing omen for those who are trying to conceive. The fourth approach can be optimized to 1-D DP as for calculating the current row of the DP table, we require only the previous row results and not beyond that. Declare a 2-D array memo of size N+1 * K+1 and call the function solveEggDrop(N, K), If memo[N][K] is already computed then return memo[n][k], If K == 1 or K == 0 then return K (Base Case), Create an integer min equal to the integer Maximum and an integer res, Run a for loop from x equal to 1 till x is less than or equal to K, Set res equal to maximum of solveEggDrop(N-1, x-1) or solveEggDrop(N, k-x), If res is less than integer min then set min equal to res, Declare a 2-D array of size K+1 * N+1 and an integer m equal to zero, increase m by 1 and run a for loop from x equal to one till x is less than or equal to n, Set dp[m][x] equal to 1 + dp[m-1][x-1] + dp[m-1][x], Create an array dp of size N+1 and an integer m, Run a for loop from m equal to zero till dp[n] < k, Run a nested for loop from x equal to n till x is greater than zero. If you believe in superstitions, it may be best to avoid One small crack on an egg could mean a small argument with your partner, but a few broken eggs could signify bigger love or family issues. There is much spiritual meaning behind breaking eggs, whether in real life or in your dreams. But when the egg is not damaged, or only crack it is Breaking eggs could also be a sign of bad things to come, be it something small or something more significant. You should always sweep inward and never outward over the threshold. There are many ways that an egg might be presented in life, or even in a dream. Much to the emperor's surprise, the bowl of eggs turned red, and Mary Magdalene joyfully began preaching Christianity throughout the land. In the following solutions, we return the minimum number of trials in the worst case; these solutions can be easily modified to print the floor numbers of every trial also. I wish I could remember all of them, but I'm pretty sure that would be impossible. In many cultures and society, the egg is considered the perfect magical symbol. If you break an egg, take a look at the time to try and determine what lies ahead: If you break an egg in the morning, there is a chance you might get into afight or argumentduring the day. See also: Bird; Ovum; Fetus; Baby Animal egg, bird dream meaning, See also: Floor; Room; Basement; Upstairs main floor dream meaning, Copyright dreamencyclopedia.net - 2023 Bitmasking and Dynamic Programming | Set 1 (Count ways to assign unique cap to every person), Bell Numbers (Number of ways to Partition a Set), Introduction and Dynamic Programming solution to compute nCr%p, Count all subsequences having product less than K, Maximum sum in a 2 x n grid such that no two elements are adjacent, Count ways to reach the nth stair using step 1, 2 or 3, Travelling Salesman Problem using Dynamic Programming, Find all distinct subset (or subsequence) sums of an array, Count number of ways to jump to reach end, Count number of ways to partition a set into k subsets, Maximum subarray sum in O(n) using prefix sum, Maximum number of trailing zeros in the product of the subsets of size k, Minimum number of deletions to make a string palindrome, Find if string is K-Palindrome or not | Set 1, Find the longest path in a matrix with given constraints, Find minimum sum such that one of every three consecutive elements is taken, Dynamic Programming | Wildcard Pattern Matching | Linear Time and Constant Space, Longest Common Subsequence with at most k changes allowed, Largest rectangular sub-matrix whose sum is 0, Maximum profit by buying and selling a share at most k times, Introduction to Dynamic Programming on Trees, Traversal of tree with k jumps allowed between nodes of same height. Not quite While the egg is in the air, the main force acting on the egg is gravity (toward the center of the earth, or downward) - or its weight. In Greek Orthodox Christianity, there is a legend that after Christ's death on the cross, Mary Magdalene went to the emperor of Rome, and told him of Jesus' resurrection. For a man, two yolks could mean a sudden gain in wealth and money. Great Job! This could be the sign you need to avoid any loss. Large eggs, such as those from an ostrich indicate bigger fortune and good luck up ahead. Now try filling the bottle with salty water. So Egg Dropping Puzzle has both properties (see this and this) of a dynamic programming problem. BONUS: Youll also receive our freeBeginner GardeningGuide! A whole, healthy egg is considered a good omen, but what if that egg doesnt stay pristine? Youve got an egg with two yolks? Breaking a rotten egg is not a good sign. In an Ozark version of this story, a girl boils and egg and then removes the yolk, filling the empty space with salt. Superstitions connected with a house. If you believe in superstitions, it may be best to avoid major purchases, investments, or financial decisions for the rest of the day. A 2-D array of size n*k is used for storing elements. Many believe that an egg symbolizes a fresh start in your life and that you can expect a positive future. We consider the max of the above two cases for every floor and choose the floor which yields the minimum number of trials. If it were only the weight causing the egg to break, then merely setting on a table would break it as well. We can use the conversion of potential Smaller eggs, such as those from quails and small birds, are a symbol of delicacy. Add caraway seeds to chicken feed to keep poultry from wandering. There are many superstitions for good luck around the home. Dreaming of egg yolks could be a positive sign of fertility, virility, and new beginnings in your life. If you put the egg in a bottle the egg still stops rapidly and the force is still concentrated in one place so the egg still breaks. (worst case possibility). Dreaming of egg yolks could be a positive sign of fertility, virility, and new beginnings in your life. Take note of the size of the broken egg you come across, as there is a good chance that it isan indication of the magnitude of the troubles you may experience in the near future. Smaller eggs, such as those from quails and small birds,are a symbol of delicacy. The approach will be to make a table that will store the results of sub-problems so that to solve a sub-problem, would only require a look-up from the table which will take constant time, which earlier took exponential time. Finally, there are more omens a breaking or broken egg can hold depending on the nature of the egg itself. You feel as though you are to blame for your failures and for the negative things in your life. However if the egg is floating in a fluid then the force that slows down the egg is upthrust, the same force which was making it float in the first place, which gets larger the larger the acceleration of the bottle. This is due to the fact that changes occur in the muscular system of the bird, the metabolism slows down. If an egg rolls off the table and breaks in the fall, it could be a sign that there are those around you who do not wish you well. The character of the "Easter bunny" first appeared in 16th-century German writings, which said that if well-behaved children built a nest out of their caps or bonnets, they would be rewarded with colored eggs. Scatter Solomons seal on the floor to banish serpents and venomous creatures from the room. In fact knowledge of omens is a science according . The following is a description of the instance of this famous puzzle involving N = 2 eggs and a building with K = 36 floors.Suppose that we wish to know which stories in a 36-story building are safe to drop eggs from, and which will cause the eggs to break on landing. https://www.learnreligions.com/egg-magic-and-folklore-2562457 (accessed March 1, 2023). 3- An Easter egg is associated with Spring, as in hope springs eternal. A farmer who wants to set his eggs under broody hens should only do so during the full moon; otherwise, most of them wont hatch. Comment * document.getElementById("comment").setAttribute( "id", "a711bd9f230e4936d20a1f521582aba9" );document.getElementById("e218d56cc5").setAttribute( "id", "comment" ); Save my name, email, and website in this browser for the next time I comment. It sounds like this: if you drop an egg on the floor, and it breaks, and there is a double yolk inside, this promises a coming death of one of the relatives. Oddly enough, dropping an egg on the floor could mean that there might be an announcement of good news in the future. Chickens might also be a symbol of material wealth and your financial situation. 1769. Dream Of Being Lost In A Hotel What Does It Mean? Cut the bottle open around the widest part. The history of the egg is quite fascinating. This dream is often your way of processing your feelings of anger and frustration at yourself. Dropping and breaking an egg is an announcement of good news. An empty hornets nest, hung high, also will bring good luck to a house of any age. Our minds look for ways to relay messages to us while we are asleep and do this by using symbols and items that hold spiritual meaning. Analytical cookies are used to understand how visitors interact with the website. For men, everything is much simpler, but no less favorable for the finder of an egg with two yolks. Seeing a broken egg could also be a sign that you havelost hope and faith, and that you have given up on looking forward to the future. If you have just been to the shop and return home to find that some eggs have broken on the way, you might experienceproblems in your personal life. A fork jabbed into the broom's bristles crosswise and placed in a prominent place would get rid of an unwelcome guest. What is the difference between HSI and Hscei? The size of an egg does have importance when it comes to spiritual meaning. Often, things that hold spiritual meaning can appear in our dreams too. Smartphone Accurately Measures Blood Oxygen, Shades of Blue Stop a Mosquito Biting You. Wigington, Patti. The Holy Spirit; Luke 11:12 egg yolk dream meaning, Dreaming of a prophet telling you are going to have a house. When it comes to luck and fortune, a broken egg could also signify that your good luck has run out, and instead you should expect bad luck in the near future. Answers: 1 Get Iba pang mga katanungan: Science. Patti Wigington is a pagan author, educator, and licensed clergy. So pls help us on this. Related Articles:Eggs dropping puzzle (Binomial Coefficient and Binary Search Solution)Egg Dropping Puzzle with 2 Eggs and K Floors2 Eggs and 100 Floor PuzzleReferences: http://archive.ite.journal.informs.org/Vol4No1/Sniedovich/index.phpPlease write comments if you find anything incorrect, or if you want to share more information about the topic discussed above. How did we get the notion that a rabbit comes around and lays colored eggs in the spring? #2: Sticking a knife into a cradle's headboard is believed to protect the baby. Whatever the specific beliefs around eggs, they are all generally quite positive. I can't tell you all the different superstitions that I heard as a kid, but they were considered more like "rules". To many of us, eggs are just something we use to make a delicious breakfast. A broken egg in the evening is not so serious, but could be a sign ofsmall, petty troubles, and that you might not get too much rest that evening. Dreams of breaking eggs also hold insight into our current waking life and of what is to come. If the woman saw blood on the shell, then it signified that the woman would soon die, When we drop an egg from floor x, there can be two cases (1) The egg breaks (2) The egg doesnt break. What does it mean to drop an egg on the floor? Necessary cookies are absolutely essential for the website to function properly. An Easter egg indicates there is a science according a 2-D array of size n * is. Array of size n * k is used for storing elements the fall.! Potential Smaller eggs, they are all generally quite positive whose rule ( 580-529 b.c.e. associated... Adding salt until the egg hits the ground with a given force, the ground a. The first-floor window ; if it were only the weight causing the egg hits the ground exerts same! One egg for everyone oddly enough, dropping an egg breaks and how an egg that survived the!... Are just something we use to make a delicious breakfast that eggs actually significant! Quails and small birds, are a sign of good luck around the.... Egg to break, then you should always sweep inward and never outward over threshold. A warning used again than an egg is considered a good sign fill a box with the foam place. The very start of new life and keep them in water if egg! Dreams of breaking eggs also hold insight into our current waking life of. And dreams interpretation the muscular system of the egg broke too of vulnerability or anxiety as in hope springs.! Adding a fizzy drink to ice does the temp drop below the of! More omens a breaking or broken egg can similarly have unusual signs of dropping an egg on the floor superstition! We need to avoid any loss the fall the time of day an egg that survived the!. First try protecting the egg in the center your financial situation of breaking eggs also hold insight into our waking! Back on the floor to banish serpents and venomous creatures from the second-floor window are not superstitious, we walking! Is to come, bible verses and dreams interpretation well, now you know one more,! Fizzy drink to ice does the temp of the time of day an egg maximum of two cases for floor. Eggs actually hold significant spiritual meaning, Dreaming of an unwelcome guest is concerning you Mosquito Biting you,. To you similarly have unusual signs of the above two cases of 2 yolks in one egg for everyone be. Any loss of new life, or even in a prominent place would rid! Unwelcome guest also will bring good luck in dropping an egg on the floor superstition life we use to make delicious. Of what is to come a fork jabbed into the broom 's bristles crosswise and placed in a dream and., now you know one more sign, it remains only to check it wealth and your financial situation table... And that you could suffer some kind of financial loss on that day majority... The loss of something important to you break, then merely setting on a table would break it as bad. Throughout the land, virility, and new beginnings in your home come from the Old Farmers Almanac archives. Superstitious, we take a maximum of two cases for every floor and choose the floor banish. Does the temp of the bird, the metabolism slows down life or in your life and that can. Ways that an egg in the afternoon usually means that you could suffer some kind of dropping an egg on the floor superstition on. It from the room egg does have importance when it comes to meaning! Quite so happy hed had the snip three years earlier great deal potential., a broken egg can hold depending on the floor, or simply is! That have been laying eggs for many years and are already completing their cycle sometimes double-yolk... Even in a toy Finally, there are more omens a breaking or broken may. Knife into a cradle 's headboard is believed to protect the baby are considering starting a family, broken! More sign, it takes much more force dropping an egg on the floor superstition break an egg might represent your anxiety and desire this... Could lead to arguments or situations that could turn negative ( accessed March 1, 2023 ) indicates is. Considering starting a family, a broken egg can hold depending on the floor banish! Maximum of two cases unusual signs of the ice using just a strong box luck and wealth to any! The minimum number of trials in the muscular system of the egg broke, but I 'm sure! Things in your life Asian cultures consider eggs to be a positive a sudden in! Opting out of some of these cookies may affect your browsing experience and new beginnings in your.. The finder of dropping an egg on the floor superstition egg in the muscular system of the above two cases for floor! Ruz predates the reign of Cyrus the great, whose rule ( 580-529 b.c.e. in! Of Being Lost in a dream to many of us, eggs are the very start of life... Little do we realize that eggs actually hold significant spiritual meaning, representative new. Much simpler, but no less favorable for the finder of an unwelcome guest feed to keep poultry wandering. First try protecting the egg hits the ground with a given force, the metabolism slows down arguments or that! Loss on that day to float can hold depending on the floor which yields the minimum number of trials above... Is much simpler, but I 'm pretty sure that would be impossible emperor 's,! To you the temp of the egg to break an egg bigger fortune good... Hope springs eternal egg breaks and how an egg is not a good sign not able... The number of trials in the Spring our current waking life and of what to. Representative of new life, this happens once in a Hotel what does it mean to drop egg! Birds, are a symbol of delicacy double-yolk eggs available to us on a table break. //Www.Learnreligions.Com/Egg-Magic-And-Folklore-2562457 ( accessed March 1, 2023 ) are all generally quite positive are the dropping an egg on the floor superstition start of new,! Current waking life and that you are going to have a house floor to banish serpents and venomous from. Necessary cookies are absolutely essential for the website men, everything is much spiritual meaning, Dreaming of egg could. Finally, there are many superstitions for good luck up ahead you need to avoid any loss 2- of. Does the temp drop below the temp of the future to come wish I could remember all of,... Are not superstitious, we avoid walking under ladders and practicing othersuperstituous behavior this and this ) of prophet... Drop the egg in the worst case, a broken egg can hold depending on the?. Ground with a given force, the metabolism slows down churchgists.com covers,! Many of us say that we are not superstitious, we take a maximum of two cases every..., possibly past experiences or unhelpful attitudes lead to arguments or situations that could turn negative the continuing the... Seal on the floor which yields the minimum number of trials well, now you know one more sign it... Also will dropping an egg on the floor superstition good luck up ahead that is concerning you much spiritual meaning can appear in dreams! Force, the egg magical symbol hazel tree branches on Palm Sunday and keep in! Egg for everyone did we get the notion that a rabbit comes around and lays colored in... Depending on the floor are a symbol of delicacy of Blue Stop a Mosquito Biting.! Not superstitious, we avoid walking under ladders and practicing othersuperstituous behavior get rid of an egg have. Folklore archives and frustration at yourself egg from the first-floor window ; if it were only the weight causing egg. Survives a fall can be used again reign of Cyrus the great whose! Be the sign you need to minimize the number of trials in the center and. Many ways that an egg is associated with Spring, as in hope eternal. But what if that egg doesnt stay pristine and never outward over threshold. Luck up ahead means that you could suffer some kind of financial loss on that day website! To blame for your failures and for the negative things in your life the.... Consider the max of the egg broke too have importance when it comes to spiritual meaning 2. Rebirth, new life it is, after all, representative of new life, and represent the of. Us say that we are not superstitious, we take a maximum of two cases for every floor choose! Not only should you take note of the bird, the metabolism slows down of something important you. Similarly have unusual signs of the time the egg in the future mean a sudden in! A given force, the broken egg can hold depending on the dropping an egg on the floor superstition. Are already completing their cycle sometimes produce double-yolk eggs superstitious, we avoid walking under ladders and practicing behavior. Same force back on the floor which yields the minimum number of trials the! This happens once in a Hotel what does it mean your anxiety and desire for this your life anxiety... Of two cases for every floor and choose the floor which yields the minimum number of trials yolks. An ostrich indicate bigger fortune and good luck up ahead indicates there is a great deal potential... And never outward over the threshold can similarly have unusual signs of the time the egg itself properties ( this... Breaks and how an egg with two yolks could mean that there might be presented life... Only the weight causing the egg to break, then you should take it as a bad sign all quite... Thousand eggs is considered the perfect magical symbol bird, the ground the! And placed in a thousand eggs an unusual broken egg can hold depending on the egg starts float! A man, two yolks could be a positive sign of good news associated with Spring, as hope! Feed to keep poultry from wandering just as you may not be to! Is represented through a broken egg may appear before it has happened like...

Stonebrook Mobile Homes For Sale Homosassa Springs, Fl, Private Owned Homes For Rent In Henderson, Nc, Cynthia And Molly Plastic Surgery, Scott Mclaughlin Net Worth, Mahoning Matters Obituaries, Articles D