L1 is a regular language As L1 is infinite we can apply Pumping Lemma Let m be the critical length for L1 Pick a String w such that: w L1 and length |w|>=m We pick w= For the pumping lemma let’s write w= =xyz With lengths |x y|<=m, |y|>=1 =>x= and y= and z= and a+b<=m Consider i=3, we need to prove that xy³z = is not in L1 i.e, we need to show that m²+2b is not a square. Since b>=1 we have m²+2b > m² Since a+b<=m, we have m²+2b<= m²+2m<= (m+2)² Therefore L1 is not a regular language 2
They can help to visualize phenomena and to understand how to solve new problems (Emmer 2). “The use of ‘visual computers’ gives rise to new challenges for mathematicians. At the same time, computer graphics might in the future be the unifying language between art and science” (Emmer 3). However, one must remember that art is by no means the same as mathematics. “It employs virtually none of the resources implicit in the term pure mathematics.” Many people object that art has nothing to do
show what I have found. Length (m) Width (m) Area (m) 400 100 40 000 300 200 60 000 250 250 62 500 150 350 52 500 I will now further my investigation by looking at shapes of a different nature: [IMAGE] Regular Pentagon ---------------- The regular pentagon has 5 sides, and as we get 1000m of fencing, this means each side will be 200m (1000¸5=200).
------------------------------------------------------ [IMAGE] A regular triangle for this task will have the following area: 1/2 b x h 1000m / 3 - 333.33 333.33 / 2 = 166.66 333.33² - 166.66² = 83331.11 Square root of 83331.11 = 288.67 288.67 x 166.66 = 48112.52² [IMAGE]A regular square for this task will have the following area: Each side = 250m 250m x 250m = 62500m² [IMAGE] A regular circle with a circumference of 1000m would give an area of: Pi x 2
The Fencing Problem There is a need to make a fence that is 1000m long. The area inside the fence has to have the maximum area. I am investigating which shape would give this. Triangles: Scalene [IMAGE] The diagram above is not to scale. Instead of having the perimeter to 1000m, only in this diagram, I have made the perimeters of the shape to 10, only to make this part of the investigation easier to understand. We know that the base of all the shapes is 2. The lengths for the equilateral
and is used lots in places (most things use rectangles for design- basic cube .etc). To start with what type of rectangle gives the best result. A regular square or an irregular oblong? I start by having 4 individual squares. [IMAGE] [IMAGE] [IMAGE] [IMAGE] [IMAGE][IMAGE] Goes to [IMAGE] [IMAGE] Regular square irregular oblong Now look at how many sides are exposed on each shape- å sides of each cube internal1 å sides of each cube internal2 [IMAGE][IMAGE]Ratio
if she had just used literal language in its place. Without the figurative language, the story would be much more simplistic, as it would be unable to convey the main focus of the story, that of Rachel’s feelings within the story, and how they change throughout it. The figurative language in the story shows how Rachel changes throughout the story and throughout her memory of herself, allowing the reader to relate to the story as Rachel’s various
The perimeter must be 1000m, and the shapes can be regular or irregular. First of all I will experiment with different rectangles, the different triangles, then pentagons. Then I will experiment with more regular shapes (or whatever type of shape has the largest area) to see the effect on area changing the number of sides has. I predict that the largest shape will be a regular circle, and the more sides a shape has and the more regular it is, the larger its area. (Taking a circle as having
is how long the shape is (Length) W is how wide the shape is (Width) The area formula was mainly put into practice to calculate the area of the middle sections of the prism and the area of the regular polygon bases, whereas the perimeter formula was put into practice to calculate the perimeter of the regular polygon bases. The investigation was divided into 3 main parts. The first two parts primarily considered solving the topic question and developing the shortcut formula, whereas the third part
to fence of the plot of land with the polygon with the biggest area. To find this I will find whether irregular shapes are larger than regular ones or visa versa. To do this I will find the area of irregular triangles and a regular triangle, irregular quadrilaterals and a regular square, this will prove whether irregular polygons are larger that regular polygons. Area of an isosceles irregular triangle: ======================================== (Note: I found there is not a right
The Fencing Problem Introduction I am going to investigate different a range of different sized shapes made out of exactly 1000 meters of fencing. I am investigating these to see which one has the biggest area so a Farmer can fence her plot of land. The farmer isnÂ’t concerned about the shape of the plot, but it must have a perimeter of 1000 meters, however she wishes to fence off the plot of land in the shape with the maximum area. Rectangles I am going to look at different size
The Fencing Problem Introduction A farmer has exactly 1000 metres of fencing and wants to use it to fence a plot of level land. The farmer was not interested in any specific shape of fencing but demanded that the understated two criteria must be met: · The perimeter remains fixed at 1000 metres · It must fence the maximum area of land Different shapes of fence with the same perimeter can cover different areas. The difficulty is finding out which shape would cover the maximum area
of “Stylistics in Nissim Ezekiel’s Corpus.” The stylistics is a meeting ground of language and literature. It is the study of the use of language in literature; the study of language as a complement and aid to the study of literature; a characteristic manner of expression; how a particular writer or speaker says things. It is such a part of linguistics as concentrates on variation or innovation in the use of language. Stylistics is not a stylish word, but it is well connected. The true nature of it
any textbook is its academic language. Through analysis, the text’s academic language should be highlighted and studied to determine whether or not it coincides with students’ reading level or how it influences students’ work. In addition, by analyzing textbooks based on their academic language, the researcher gains a perspective to how the language will help increase students’ literacy skills. Analysis of academic language The first step to analyzing academic language of the text is to identify
The Role of Language in Creating and Reinforcing Social Distinctions Such as Class, Ethnicity, and Gender It is said in a myth that people were once trying to build a giant latter to heaven so God made them all diverse by making portions of the people look different and speak different language. The now diverse people of earth felt annoyed and human nature took its ugly toll and separation and distinctions were made, they all scatter throughout the world. God did this so that the people would
In fact body language is a tool that if correctly used would emphasize and support your speech. However, it may oppose your words and lead to undesired impact on your audience if it is misused. As for using body language to maintenance what you are saying, the nonverbal aspects of speech plays an important part. I mean by the nonverbal aspects: the volume, tone, voice
>50 words 2 – 2 ½ years Two word phrase 3 – 4 years 3-6 words in sentences, ask questions, tell stories, all speech understood by strangers 4-5 years Six to eight words per sentence. CAUSE OF SPEECH DELAY Mental retardation Hearing loss Express language disorder Autism Elective mutism Receptive aphasia Cerebral palsy Bilingualism Maturation delay INDICATION
teachers and speech language pathologists should place more emphasis on the development of “academic talk” (AT) in preschool aged children. As defined by van Kleeck, AT is the manner in which language is used in an educational environment. The AT register is distinguished from the casual talk (CT) register, which is the language used in regular, everyday communication. van Kleeck argues that children from “culturally and linguistically diverse” (CLD) backgrounds with “language impairment” (LI)
Language is a big part of development for an infant and is used in their everyday life. Language can be more than just talking, it can be movement and gestures also. Baby Sign Language is a product that advertises the teaching of sign language to infants starting at age six to eight months. This product claims to help babies communicate so they cry less, boost brain development, increases IQ and helps parents understand their child better. The benefits are greater than the disadvantages of the product
possesses a tragic flaw. While there are many flaws in Hamlets character, it is his understanding of the power of words and language