It’s time to show appreciation for the genius teacher in your life with the very best gifts for math teachers!
Every teacher has a hard job, and ofttimes it’s a thankless one. Maths teachers have it even harder, because let’s face it: Math is hard!
Yet that special math teacher in your life still has a love for numbers and a passion for teaching. Why not express your thanks with the gesture of a thoughtful present?!
We’ve put a list together of some great math teacher gifts for your favorite teacher, math nerd, or math lover.
Go ahead and take a look!
Best Gifts for Math Teachers & Math Lovers
1. Handcrafted Wooden Chess Set
Here is an exquisite handcrafted wooden chess set that is carved from Tunisian olive wood. They can conveniently store the playing pieces in the drawers underneath the board.
Not only a beautiful set to play on but also a nice piece to display for decoration. Everyone is going to enjoy hours of challenging entertainment with this chess set.
2. Engraved Mathematician Clock
The hand-made, wooden engraved mathematician clock is a great addition to any math teacher’s office, den, or classroom. Each of the equations around the clock solves to be the correct number/time.
This is a thoughtful gift for your favorite math teacher or algebra whiz.
3. English Is Important but Math Is Importanter Math Humor T-Shirt
Get everyone laughing, students and faculty alike, with this witty T-shirt. The head of the English department may take issue with it, but they could use a little lightening up. They’ll love sporting this on weekends or even in class on casual days.
Available in men’s and women’s cuts, sizes Sm-3XL.
4. Self-Heating Ceramic Mug
Long days and even longer nights spent writing and grading tests calls for significant amounts of coffee and tea. Help them keep their beverage of choice hot with this fantastic self-heating ceramic mug.
Never again will they have to worry about making trips back and for the microwave, wasting precious time.
5. Safecracker Puzzle
One thing about math nerds is that they love to nerd out about mathy things.
For this Safecracker Puzzle, the goal is to line it up so that all 16 columns add up to fifty. Impossible, you say?
Give this gift to your math teacher and find out!
6. Humble Pi: A Comedy of Math Errors
Humble Pi: A Comedy of Math Errors is the first math book to be a number-one bestseller. This comedy of errors will answer the question, “What happens when math goes wrong in the real world?”
Our modern lives are built on mathematical principles. Numbers and equations are used in computer programs, finance, engineering, and more. And most of the time this math works quietly behind the scenes, until… it doesn’t.
This delightful book is fun and entertaining for anyone that picks it up.
7. Funny Math Stickers
Here’s one hundred math-related stickers with cute slogans, puns, and creative references. It’s the perfect funny math gift!
What a great way to decorate water bottles, coffee mugs, lockers, and more.
8. High Precision Cutting Board
Here is a high-precision cutting board to help them to achieve all of their cutting goals. Squares, cubes, ovals, and more. Whether they love to cut their food into precise squares or you simply enjoy geometry, this board is a fun and creative kitchen tool.
The perfect cutting board for any math lover you know.
9. Math Bottle Opener
This math bottle opener is simply cool. If non-Euclidean Geometry is your interest then this bottle opener is a must-have.
Let’s be serious for a second, there’s nothing better than cracking open a cold one after spending the day trying to prove the mysteries of mathematics.
10. Pi Cookie Cutters
Include the Pi cookie cutter in a fresh batch of cookies for that special teacher. With this cute cookie cutter, it’s easy to celebrate Pi Day or any other special day for that certain math genius.
The Pi cookie cutter is proudly made in the USA from high-quality materials.
11. Best Math Teacher Ever
How to honor the best math teacher ever? With this customizable thermal mug, of course.
It is a wonderful way for them to keep their hot drinks piping and their cold drinks icy.
Our Polar Camel tumbler mugs are comparable to the much more expensive YETI-brand tumblers- in looks and quality. We offer your choice of stainless steel along with six additional vinyl-wrapped colors. It’s proven to be one of our most appreciated math teacher gifts.
12. Sir Isaac Newton Bust
What mathematician wouldn’t want this Sir Isaac Newton bust on their desk?!
Sir Isaac Newton was an English mathematician, physicist, astronomer, theologian, and author. He is widely recognized as one of the greatest mathematicians and most influential scientists of all time. Anyone who loves math would be honored to display a handmade plaster, plastic, and acrylic likeness of this great man of science.
What could be cuter or funnier than a cowculus math sweatshirt? Nothing, that’s what!
You can choose from various colors and sizes, so you will have no problems finding the right one for your calculus-loving friend!
14. Proof! Math Game
Proof! Math Game is an exciting, fast-paced game and helps anyone to practice multiplication, division, addition, subtraction, and square roots.
It’s fun for the whole family or classroom and only takes 15 minutes to play, yet will stretch the minds of young learners as they begin to grasp the way numbers can relate to each other.
15. Casino Calculator Watch
What’s one of the first things that comes to mind when you think of math and numbers and such?
For me it’s definitely calculators. Your math teacher honestly might geek out a bit too much over this fantastic calculator watch. It’s the ultimate math gift.
Sure, they could use a traditional calculator or even their phone, but this retro-styled option is super cool and convenient to have on hand. (See what we did there?)
16. Proof is in the Pudding Bowls
Functional and funny, these ‘Proof is in the Pudding’ bowls are a winner in our book. For that special teacher that has theorems and formulas on the brain 24/7, these will take the cake — or pudding, I guess — once they’re put to use…
Carefully crafted, each 8oz ceramic bowl is printed with theorems from Gauss, Pythagorus, Euclid, and Hippasus.
17. Much Needed Summer Vacation
You need to book that much needed summer vacation with Tinggly. You and your mathematician can enjoy the vacation of a lifetime.
Tinggly is a cool service because it allows you to purchase a (mini) vacation and give it to someone as a gift. Essentially, they receive a gift card that they can redeem for one of a vast number of exciting and fun experiences. All they need to do is get there!
With so many options all across the USA and around the globe, they’ll be sure to find something within driving distance, or that they can incorporate into a previously planned vacation.
Take advantage of the “summer off” with Tinggly with the world’s best experience vacations.
18. Geometric Terrarium Container
Made from glass and metal, the geometric terrarium container is the perfect size terrarium for a teacher’s desk. Celebrate that special geometry teacher by presenting him/her with this specially shaped décor.
This adorable terrarium is a perfect size to set on any desk, table, or shelf.
19. Always Right Mug
The Always Right mug is a wonderful and silly gift for any coffee-guzzling math teacher.
The math mug will make your teacher smile and appreciate you every time they use it. They will enjoy their morning cup of coffee even more with this special cup.
20. Monthly Beer
The Beer of the Month Club will be enjoyed by your math teacher at the end of the school week.
Your special teacher will receive twelve, 12 oz. hand-crafted beers each month. The beers will be from both U.S. craft microbreweries and international breweries. (Check out our review and unboxing here.)
What math-loving beer teacher (wait, is that right…?) wouldn’t enjoy this fantastic gift!
21. Will Give Math Advice for Tacos
File this one under #thetitlesaysitall.
Will Give Math Advice for Tacos t-shirt is an adorable way to honor your math teacher.
Your math teacher/math lover will enjoy some downtime in this 100% cotton, comfy T. You can choose from several colors and sizes and find the ideal one.
Editors note: I’m no math lover, but even I want one of these. Not that my advice would be good or even accurate, but I’ll dispense any sort of advice for tacos.
22. Copper Cow Coffee (perfect for the classroom!)
What if you could have Vietnamese coffee pour over – anywhere? All you need is hot water when you have these little coffee kits!
The maths teacher in your life – or anyone on the receiving end, really – will greatly appreciate their Copper Cow Coffee pour over kit during those long, slogging afternoon hours before the final bell rings.
If they are more into tea than coffee, they will enjoy these gift ideas instead!
23. Fibonacci Spiral Poster
The Fibonacci Spiral poster is a wonderful accessory for any math teacher’s office or classroom.
I mean, who doesn’t appreciate the golden ratio? Certainly, anyone that appreciates this print will appreciate everything it represents.
24. Fibonacci Bottle Opener
Our custom Fibonacci bottle opener is made from walnut and maple with a cast iron opener.
Add your favorite math lover’s name to make it extra special. Every time they pop the top off of a cold one, they will think of you.
A nice addition to any game room, home bar, or back patio. Salud!
More Gift Ideas for Math Teachers
- “Tears of my math students” coffee mug
- Pencil bag
- Tote bag
- Enamel math pins
- Math puzzle books & brain teasers
- Classroom decorations
- Phone case
- Funny math socks
- Desk organizer
- Board games
- Subscription to math magazines or journals
- Quality pencils or pens for grading
- Office plants, especially succulents
- Gift cards
Perhaps there’s no greater gift for a math teacher than a simple handwritten thank you note.
So, whether you choose one of the gift ideas above or not, be sure to express your thanks with a thoughtful card that tells your teacher how much their efforts mean to you.
Thank you for taking the time to peruse our list of gifts for math lovers. We are sure that you will have found at least one or more fun gift for maths teacher in your life.


Our Management Team
Dr. John Mary Matovu
Dr. John Mary Matovu is a Research Fellow of the Research for Transformation and Development. He has written widely and his most recent work is on the Quest for Structural Transformation in Uganda by 2040. His areas of interest focus on fiscal policy and use of public resources, applied general equilibrium modeling, benefit incidence analysis at household level and micro-econometric work especially in the areas of health and education. John has worked with the International Monetary Fund for 10 years to the level of Senior Economist and has also undertaken various consultancies work with government, African Development Bank, World Bank, UNDP and collaborated with various researchers on topics related to use of public resources and growth.
More recently he was involved in the drafting of the National Development Plans (1 and 2). John attained his D.Phil. from Oxford and an M.Phil. from Cambridge University and B.Sc. in Mathematics, Economics and Statistics from Makerere University. John has also taught and supervised several Ph.D. students both at Makerere University and the regional Ph.D. program under the African Economic Research Consortium.
Prof. Xavier Mugisha
Prof. Xavier Mugisha is a Research Fellow of the Research for Transformation and Development. He has written widely on corruption and also developed tracking indicators for corruption. Xavier has also worked in areas of financial deepening by spearheading country-wide (FINSCOPE) projects.
He has also worked with Statistics South Africa as Adviser on setting up the Institute of statistics. Xavier holds a Ph.D. Degree in Statistics from University of Manitoba, Canada. He was appointed to the position of Professor of Statistics by the University of Venda for Science and Technology, South Africa. Prof Xaxier has supervised various Ph.D. students.


Nouncircles (plural noun)
- third-person singular of circle
Circles are simple shapes of Euclidean geometry. A circle consists of those points in a plane which are at a constant distance, called the radius, from a fixed point, called the center. A circle with center A is sometimes denoted by the symbol .
A chord of a circle is a line segment whose both endpoints lie on the circle. A diameter is a chord passing through the center. The length of a diameter is twice the radius. A diameter is the largest chord in a circle.
Circles are simple closed curves which divide the plane into an interior and an exterior. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. An arc is any connected part of a circle.
A circle is a special ellipse in which the two foci are coincident. Circles are conic sections attained when a right circular cone is intersected with a plane perpendicular to the axis of the cone.
Analytic resultsIn an x-y Cartesian coordinate system, the circle with center (a, b) and radius r is the set of all points (x, y) such that
\left( x - a \right)^2 + \left( y - b \right)^2=r^2.
The equation of the circle follows from the Pythagorean theorem applied to any point on the circle. If the circle is centred at the origin (0, 0), then this formula can be simplified to
- x^2 + y^2 = r^2. \!\
When expressed in parametric equations, (x, y) can be written using the trigonometric functions sine and cosine as
- x = a+r\,\cos t,\,\!
- y = b+r\,\sin t\,\!
where t is a parametric variable, understood as many the angle the ray to (x, y) makes with the x-axis. Alternatively, in stereographic coordinates, the circle has a parametrization
- x = a + r \frac
- y = b + r \frac
- \ ax^2+ay^2+2b_1xz+2b_2yz+cz^2 = 0.
It can be proven that a conic section is a circle if and only if the point I(1: i: 0) and J(1: −i: 0) lie on the conic section. These points are called the circular points at infinity.
In polar coordinates the equation of a circle is
r^2 - 2 r r_0 \cos(\theta - \varphi) + r_0^2 = a^2.\,
In the complex plane, a circle with a center at c and radius (r) has the equation |z-c|^2 = r^2. Since |z-c|^2 = z\overline-\overlinez-c\overline+c\overline, the slightly generalised equation pz\overline + gz + \overline = q for real p, q and complex g is sometimes called a generalised circle. Not all generalised circles are actually circles: a generalized circle is either a (true) circle or a line.
The tangent line through a point P on a circle is perpendicular to the diameter passing through P. The equation of the tangent line to a circle of radius r centered at the origin at the point (x1, y1) is
- xx_1+yy_1=r^2 \!\
Hence, the slope of a circle at (x1, y1) is given by:
\frac = - \frac.
More generally, the slope at a point (x, y) on the circle (x-a)^2 +(y-b)^2 = r^2, i.e., the circle centered at (a, b) with radius r units, is given by
\frac = \frac,
provided that y \neq b.
Pi ( \pi )
The numeric value of \pi never changes. In modern English, it is (as in apple pie).
- The area enclosed by a circle is the radius squared, multiplied by \pi.
Area = r^2 \cdot \pi
Using a square with side lengths equal to the diameter of the circle, then dividing the square into four squares with side lengths equal to the radius of the circle, take the area of the smaller square and multiply by \pi. A = \frac \approx 07854 \cdot d^2, that is, approximately 79% of the circumscribing square.
The circle is the plane curve enclosing the maximum area for a given arclength. This relates the circle to a problem in the calculus of variations.
- The circle is the shape with the largest area for a given length of perimeter. (See Isoperimetry)
- The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry and it has rotational symmetry around the center for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T.
- All circles are similar.
- The circle centered at the origin with radius 1 is called the unit circle.
- Through any three points, not all on the same line, there lies a unique circle. In Cartesian coordinates, it is possible to give explicit formulae for the coordinates of the center of the circle and the radius in terms of the coordinates of the three given points. See circumcircle.
- Chords equidistant from the center of a circle are equal (length).
- Equal (length) chords are equidistant from the center.
- The perpendicular bisector of a chord passes through the center of a circle; equivalent statements stemming from the uniqueness of the perpendicular bisector:
- If a central angle and an inscribed angle of a circle are subtended by the same chord and on the same side of the chord, then the central angle is twice the inscribed angle.
- If two angles are inscribed on the same chord and on the same side of the chord, then they are equal.
- If two angles are inscribed on the same chord and on opposite
sides of the chord, then they are supplemental.
- For a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle.
- An inscribed angle subtended by a diameter is a right angle.
- The diameter is longest chord of the circle.
- The sagitta is a line segment drawn perpendicular to a chord, between the midpoint of that chord and the circumference of the circle.
- Given the length y of a chord, and the length x of the sagitta, the Pythagorean theorem can be used to calculate the radius of the unique circle which will fit around the two lines:
- r=\frac+ \frac.
Another proof of this result which relies only on 2 chord properties given above is as follows. Given a chord of length y and with sagitta of length x, since the sagitta intersects the midpoint of the chord, we know it is part of a diameter of the circle. Since the diameter is twice the radius, the "missing" part of the diameter is (2*r-x) in length. Using the fact that one part of one chord times the other part is equal to the same product taken along a chord intersecting the first chord, we find that (2*r-x)(x)=(y/2)^2. Solving for r, we find:
- r=\frac+ \frac.
- The line drawn perpendicular to the end point of a radius is a tangent to the circle.
- A line drawn perpendicular to a tangent at the point of contact with a circle passes through the centre of the circle.
- Tangents drawn from a point outside the circle are equal in length.
- Two tangents can always be drawn from a point outside of the circle.
- The chord theorem states that if two chords, CD and EB, intersect at A, then CA×DA = EA×BA. (Chord theorem)
- If a tangent from an external point D meets the circle at C and a secant from the external point D meets the circle at G and E respectively, then DC2 = DG×DE. (tangent-secant theorem)
- If two secants, DG and DE, also cut the circle at H and F respectively, then DH×DG=DF×DE. (Corollary of the tangent-secant theorem)
- The angle between a tangent and chord is equal to the subtended angle on the opposite side of the chord. (Tangent chord property)
- If the angle subtended by the chord at the center is 90 degrees then l = √2 × r, where l is the length of the chord and r is the radius of the circle.
- If two secants are inscribed in the circle as shown at right, then the measurement of angle A is equal to one half the difference of the measurements of the enclosed arcs (DE and BC). This is the secant-secant theorem.
An inscribed angle \psi is exactly half of the corresponding central angle \theta (see Figure). Hence, all inscribed angles that subtend the same arc have the same value (cf. the blue and green angles \psi in the Figure). Angles inscribed on the arc are supplementary. In particular, every inscribed angle that subtends a diameter is a right angle.
Apollonius of Perga showed that a circle may also be defined as the set of points in plane having a constant ratio of distances to two fixed foci, A and B. That circle is sometimes said to be drawn about two points.
The proof is as follows. A line segment PC bisects the interior angle APB, since the segments are similar:
\frac = \frac.
Analogously, a line segment PD bisects the corresponding exterior angle. Since the interior and exterior angles sum to 180^, the angle CPD is exactly 90^, i.e., a right angle. The set of points P that form a right angle with a given line segment CD form a circle, of which CD is the diameter.
A closely related property of circles involves the geometry of the cross-ratio of points in the complex plane. If A, B, and C are as above, then the Apollonius circle for these three points is the collection of points P for which the absolute value of the cross-ratio is equal to one:
- |[A,B;C,P]| = 1.
Generalized circlesIf C is the midpoint of the segment AB, then the collection of points P satisfying the Apollonius condition
- \frac = \frac (1)
is not a circle, but rather a line.
Thus, if A, B, and C are given distinct points in the plane, then the locus of points P satisfying (1) is called a generalized circle. It may either be a true circle or a line.
- note PedoeGeometry: a comprehensive course
- Circle formulas at Geometry Atlas.
- Interactive Java applets for the properties of and elementary constructions involving circles.
- Interactive Standard Form Equation of Circle Click and drag points to see standard form equation in action
- Clifford's Circle Chain Theorems. Step by step presentation of the first theorem. Clifford discovered, in the ordinary Euclidean plane, a "sequence or chain of theorems" of increasing complexity, each building on the last in a natural progression by Antonio Gutierrez from "Geometry Step by Step from the Land of the Incas"
- Munching on Circles at cut-the-knot
- Ron Blond homepage - interactive applets
- calculate circumference and area with your own values
- MathAce » Circles MathAce's article about circles - has a good in-depth explanation of unit circles and transforming circular equations.
circles in Contenese: 圓形
circles in Arabic: دائرة
circles in Asturian: Círculu
circles in Aymara: Muyu
circles in Min Nan: Îⁿ-hêng
circles in Bosnian: Krug
circles in Bulgarian: Окръжност
circles in Catalan: Cercle
circles in Czech: Kružnice
circles in Welsh: Cylch
circles in Danish: Cirkel
circles in German: Kreis (Geometrie)
circles in Estonian: Ringjoon
circles in Modern Greek (1453-): Κύκλος
circles in Spanish: Círculo
circles in Esperanto: Cirklo
circles in Basque: Zirkulu
circles in Persian: دایره
circles in French: Cercle
circles in Galician: Círculo
circles in Korean: 원 (기하)
circles in Croatian: Kružnica
circles in Indonesian: Lingkaran
circles in Icelandic: Hringur
circles in Italian: Cerchio
circles in Hebrew: מעגל
circles in Haitian: Sèk
circles in Swahili (macrolanguage): Duara
circles in Latin: Circulus
circles in Latvian: Riņķis
circles in Luxembourgish: Krees (Geometrie)
circles in Lithuanian: Apskritimas
circles in Hungarian: Kör
circles in Macedonian: Кружница
circles in Malayalam: വൃത്തം
circles in Malay (macrolanguage): Bulatan
circles in Dutch: Cirkel
circles in Japanese: 円 (数学)
circles in Norwegian: Sirkel
circles in Norwegian Nynorsk: Sirkel
circles in Polish: Okrąg
circles in Portuguese: Círculo
circles in Kölsch: Kriiß (Mattematik)
circles in Quechua: P'allta muyu
circles in Russian: Окружность
circles in Scots: Raing
circles in Simple English: Circle
circles in Slovak: Kružnica
circles in Slovenian: Krožnica
circles in Serbian: Круг
circles in Finnish: Ympyrä
circles in Swedish: Cirkel
circles in Tagalog: Bilog
circles in Tamil: வட்டம்
circles in Thai: รูปวงกลม
circles in Turkish: Çember
circles in Ukrainian: Коло
circles in Yoruba: Ìyípo
circles in Chinese: 圆


Sometimes it’s important to see the humor in politics. For example, consider the 38.5 billion dollars that John Boehner and Harry Reid cut from the 2011 budget. What an “historic” achievement for Americans they crowed. Plus, they averted a government shutdown. Sure….right…great job.
It’s time to put this so-called great achievement in perspective. Most Americans don’t realize the interest alone on the national debt was 414 billion in 2010, according to U.S. Treasury Department calculations. That’s almost 1/2 a trillion dollars! I wondered how much the interest on the debt costs each day, so I decided to apply simple mathematics to the problem, (414 billion divided by 365), and discovered the interest alone on the national debt was 1.1 billion dollars per day in 2010. Of course, the national debt continued to increase in 2011, along with the interest.
So, just how historic is that budget cut? Well, if we divide 38.5 billion by the 1.1 billion in daily interest, it looks like the “draconian” 38.5 billion budget cut basically paid the interest on the nation’s debt for about 35 days. Woohooooo! What a super job our Washington leaders did.
And now for the funny part. If our D.C. leaders can find an additional 363 billion dollars to cut from the budget, the interest for the remaining 330 days of the year could be paid.


Again, you could also have started with arbitrary values of y. Example 1 The sum of two numbers is 5. Once it checks it is then definitely the solution.
I emphasize graphing them on separate axes, as in the next lesson will put it all together to create a feasible region.
If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. A common error that many students make is to confuse the y-intercept with the x-intercept the point where the line crosses the x-axis.
Make a table of values and sketch the graph of each equation on the same coordinate system. Step 3 Solve for the unknown. Look at both equations and see if either of them has a variable with a coefficient of one. Thus, we have the solution 2, This is called an ordered pair because the order in which the numbers are written is important.
Note that this concept contains elements from two fields of mathematics, the line from geometry and the numbers from algebra. As I circulate around the room, I double check to make sure students have incorporated and kept track of some of the extraneous math in this problem changing hours to minutes, and multiplying by 2 for the pampering time that happens twice per day.
Note again that the solution does not include the lines. The point - 2,3 is such a point. This is one of the points on the line. Step 4 Connect the two points with a straight line.
In this case we simply multiply each side by In other words, we want all points x,y that will be on the graph of both equations. Solve the system by substitution.
The exercise below will let us find out. On this number line, points B and A are our original values of 2 and 5. Many students forget to multiply the right side of the equation by To graph a linear inequality: In section we solved a system of two equations with two unknowns by graphing.
Note that the point of intersection appears to be 3,4. Solution We first make a table showing three sets of ordered pairs that satisfy the equation. Compare your solution with the one obtained in the example. The arrows indicate the line continues indefinitely.Fit an algebraic two-variable inequality to its appropriate graph.
If you're seeing this message, it means we're having trouble loading external resources on our website. Practice: Two-variable inequalities from their graphs. Intro to graphing systems of inequalities. Graphing systems of inequalities.
Practice: Systems of inequalities graphs. Watch video · Write an inequality that fits the graph shown below. So here they've graphed a line in red, and the inequality includes this line because it's in bold red.
It's not a dashed line. It's going to be all of the area above it. So it's all the area y is going to be greater than or equal to this line. So. In this lesson you will learn to create an inequality given a word problem by using algebraic reasoning.
Create your free account Teacher Student.
Create a new teacher account for LearnZillion Write an inequality from a word problem From LearnZillion Created by Dana Salvia Standards. Graph Inequalities. Write an inequality for a given sentence. Graph each inequality on a number line.
State whether the inequality is true or false for the given value. STUDY. PLAY. Write an inequality for the given sentence. Applicants with less than 5 years of experience must take a test.
Apr 21, · Best Answer: PROBLEM 1: Just look at the line first. It has a slope of You can use the two intercept points to figure the slope, or you can figure out the rise (-1) over the run (1).Status: Resolved.
Writing and Graphing Inequalities How can you use a number line to represent solutions of an inequality? To write an inequality, look for the following phrases to determine where to place the inequality symbol. Key Vocabulary inequality, p. solution of an inequality, p.
solution set, p. graph of an inequality, p.Download


Editor’s Note: After a reassuring amount of consistency in the leaderboard data over the past couple weeks, it appears that once again the integrity of the data is suspect. Apparently Sunil is currently the #1 ranked player and has helpfully written another guest article with what appears to be an oversimplified memory system but perhaps its trivial ease of use will be an advantage for some.
I find myself atop the leaderboards once again, and will use this opportunity to share some more pearls of wisdom with the wodka-strategy.uk.to readership.
Previously, Jack talked about his memory system (https://wodka-strategy.uk.to/index.php/2020/06/27/memory-a-simple-system/). However, this requires maintaining multiple lists between which numbers frequently move. This is an unwieldy, and dare I say, inefficient system.
My approach requires you to only remember a single number. Firstly, we assign a different prime number to the highest three values:
- A = 2
- K = 3
- Q = 5
For each of these cards in the deck, we multiply the corresponding value into a ‘memory-value’ (which starts at 1, the multiplicative identity). Since we start with four of each A, K, Q, our ‘memory-value’ starts at 2^4 * 3^4 * 5^4 = 810,000.
Whenever an A, K or Q is played, we simply divide our memory-value by 2, 3 or 5 respectively.
Similarly, if we want to know how many A, K or Qs are yet to be played, we just see how many 2, 3 or 5s are factors of the memory-value. For example, if the memory-value is 45,000 and we want a simple way to know how many Aces are in the deck we keep dividing by 2 until we hit an odd number (45,000 -> 22,500 -> 11,250 -> 5,625). We divided 3 times, and so there are three Aces still to be played.
Clearly, this is much simpler and less confusing than rembering how many Aces are still in the deck directly. In this case, rembering 3 (the number of Aces still to play) is problematic as it could get confused with other things – such as the number of Kings, or the number of points you will win with a successful Wodka. 45,000 has no chance of getting confused with other important Wodka numbers.
Furthermore, it’s easily extensible. For each additional piece of information you wish to remember, you only need to assign a unique prime.
For example, if we wish to include the 0 and the 3s, we could use:
- A = 2
- K = 3
- Q = 5
- 3 = 7
- 0 = 11
Exercise for the reader (assuming this extended system):
The memory value is 1,980,825.
Q: Will my K win a trick?


implement FreqStack, a class which simulates the operation of a stack-like data structure.FreqStack has two functions:push(int x), which pushes an integer x onto the stack.pop(), which removes and returns the most frequent element in the stack.If there is a tie for most frequent element, the element closest to the top of the stack is removed and returned.
Given two integers dividend and divisor, divide two integers without using multiplication, division, and mod operator. Return the quotient after dividing dividend by divisor. The integer division should truncate toward zero, which means losing its fractional part. For example, truncate(8.345) = 8 and truncate(-2.7335) = -2.
Given two sequences pushed and popped with distinct values, return true if and only if this could have been the result of a sequence of push and pop operations on an initially empty stack.
Given an integer array nums, you need to find one continuous subarray that if you only sort this subarray in ascending order, then the whole array will be sorted in ascending order. Return the shortest such subarray and output its length.
Given a balanced parentheses string S, compute the score of the string based on the following rule: () has score 1 AB has score A + B, where A and B are balanced parentheses strings. (A) has score 2 * A, where A is a balanced parentheses string.
Write an efficient algorithm that searches for a target value in an m x n integer matrix. The matrix has the following properties: Integers in each row are sorted in ascending from left to right. Integers in each column are sorted in ascending from top to bottom.
Given a string and a string dictionary, find the longest string in the dictionary that can be formed by deleting some characters of the given string. If there are more than one possible results, return the longest word with the smallest lexicographical order. If there is no possible result, return the empty string
On a broken calculator that has a number showing on its display, we can perform two operations: Double: Multiply the number on the display by 2, or; Decrement: Subtract 1 from the number on the display. Initially, the calculator is displaying the number X. Return the minimum number of operations needed to display the number Y.
Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.Given a roman numeral, convert it to an integer.
Given a string s of '(' , ')' and lowercase English characters. Your task is to remove the minimum number of parentheses ( '(' or ')', in any positions ) so that the resulting parentheses string is valid and return any valid string.


Learning math is not fun for the majority of the students, especially those who are in Class 10 and approaching their board exams. This subject is rather seen as a burden. Most students try to practice the sums of different chapters due to their Math phobia. This is often because the wrong approach is often used to introduce this subject in earlier classes.
Students in huge numbers rather prefer to ‘drop’ this subject as they proceed to the high school level. This is where maths ncert solutions class 10 can make a huge difference. It can make this subject all the more appealing to students.
Strategies to help students to get involved completely in Maths development
- It is important to teach math in a manner that you would like to have it taught and not as you have been taught. There are times when you feel bored in class and feel interested in doing the sums. The well-trained experts know how to grab the attention of the students and make them feel interested in this subject.
- Math subject should be made life-related, relevant, and fun-filled. It is necessary to use different types of strategies like real-life questions, fun quiz, easy-difficult challenges, speed tests, unfamiliar contexts, etc.
- Maths is better conducted through quiz sessions. It can be more exciting and a better way to learn this complex subject.
- It is essential to understand that math is more about practicing different exercises. Rather, the expert teachers at Cuemath introduce different unique teaching strategies to fit perfectly the topics taught. Every topic is to be evaluated in a manner to better reflect the teaching strategy. The qualified teachers will use cooperative learning techniques, the latest technology, practical lessons, hands-on materials, quiz sessions, along with other useful strategies. They will ensure understanding the different requirements and learning patterns of their students so as to provide better solutions.
How Math subject can be made interesting?
- Math subject should be taught in an exciting, fun-filled, and challenging manner. Real-life examples should be used in the assessment and teaching methods. Short problem critical thinking/solving exercises should be part of every lesson.
- Students should be used as assistant teachers. Good students can be found to be much better at using some math aspects when compared to others. They can be used as mentors based on their subject of expertise. They may require some training. This way, students will be able to react better and progress much faster.
- Ncert solutions allow you to derive the leverage and learn faster. Students are encouraged to practice the sums repeatedly to increase their level of confidence and become experts. Tips are also provided to ensure children derive an amazing learning experience.
- Teachers should review, evaluate each student, plan carry out experiments, etc. New teaching methods should be introduced within the program and perfected by adopting a review process. Such strategies can cater to the students’ differing learning styles. Moreover, the teachers can learn to overcome unique, interesting, and new teaching challenges in the process.
Things to consider achieving success in math subject
- Develop essential skills in the students, irrespective of what type of talent and knowledge they have in the Math subject. A greater skill range can help teach them to learn the path to achieve success.
- Share failure and success stories with children. They will understand the meaning of success and learn how to achieve them the smart way. It will also help them to enjoy overall development. Practicing the sums allows students to know what exactly went wrong as well as how to overcome the mistakes and errors committed.
- Students should always be challenged with new sums and concepts but using a unique approach. This helps them to think hard and get the right solutions. Develop lessons based on their understanding and comfort level, thus allowing completing each chapter with great confidence.
Therefore, relying on the above strategies can help students to enjoy the math subject in the twenty-first century.


The NEET 2022 results will shortly be made public by the National Testing Agency (NTA). To learn how to calculate NEET percentile, continue reading.
Soon, the National Eligibility comp Entrance Test results will be released. The results will be uploaded either on nta.ac.in or ntaneet.nic.in. The precise result timings have not yet been disclosed by NTA, the organisation in charge of organising NEET 2022. Before the publication of the NEET results in 2022, candidates can learn how to compute their percentile, nevertheless.
A candidate must first be aware of his NEET scores and NEET rank in order to compute his NEET percentile. Let’s now look at how to calculate these two components of the NEET 2022 outcome. Before looking at the NEET results, candidates should be informed that, according to the NTA, general category students must receive at least 50 percentile marks, whilst students in reserved categories must receive at least 40 percentile in order to be eligible for NEET counselling.
How to calculate NEET rank?
The NTA determines a candidate’s NEET rank and publishes it in the rank list. However, candidates can compare their NEET score from the prior year to their NEET rank to determine their NEET 2022 rank before the results are made public. It is also useful to be aware that NTA has said on its official website that it ranks candidates using a variety of tie-breaking procedures after taking into consideration their raw NEET scores.
How to calculate NEET 2022 score
Candidates can use the NTA-provided answer key to compute their NEET score. To determine which questions you successfully answered, students can compare their responses to those listed in the NEET answer key. Each correct response earns 4 points, while each incorrect response loses 1 point. Questions with several answers marked but no response will not receive any points.
- Total NEET Marks = 180 MCQs X 4 = 720 Marks
- Your NEET score = (Total number of correct answers x 4) (Total number of incorrect answers x 1)
How to calculate NEET percentile?
Marks based NEET percentile
A student can easily calculate their NEET percentage with his NEET score and NEET topper’s score in that particular year.
NEET percentile = your NEET score * 100 / topper’s NEET score
Rank based NEET percentile
- Students can also calculate their NEET percentile along with their NEET rank and the number of candidates who appeared for NEET in that particular year.
- NEET percentile = [(total number of candidates appeared in NEET rank) / total no. of appearing candidates] x 100
- This method is quite difficult compared to the previous one.


Is math a drag in your house, or is it something you worry about with your younger child that they may not do well, or are showing earlier signs of struggling? If so, why not try injecting some fun into their math building practices? Krista over at Savory Savings had the chance to check out the new Under The Sea Shells math word problem activity set from Learning Resources and shared that her kiddos did not even realize they were learning and flexing their math skills when working with this set! This set, aimed for first grade and above, brings fun and silly sea creatures into the world of math word problems and challenges little thinkers to consider operations and algebraic thinking. It follows the Common Core guidelines for learning and really keeps children engaged.
Would you like to win the Learning Resources Under the Sea Shells word problem set to help engage your little one with math? If so, enter with the giveaway tool below. This giveaway is open to US residents, ages 18 and older.
If you have won a Learning Resources giveaway anytime from another blog in the last 6 months, you are not eligible to win this giveaway. The giveaway will run from February 6, 2013 through February 20, 2014 at 11 PM CST and is open to US residents, ages 18 and older. Entries will be verified. Winner will be notified via email (consider adding [email protected] to your safe list) – winner will have 48 hours to respond and claim prize or another winner will be selected.


That amount then accrues interest over each quarter until the end of the three years. It compounds according to the compound interest formula eleven times. Recall that the exponent on that formula is the number of compounding periods. Now let’s take a look at what happens at the end of the second quarter. Now, you deposit $135 again, but this time, this deposit will accrue interest using the compound interest formula ten times.
It can lead you to underspend and be miserable or overspend and run out of money. This book teaches you how retirement planning really works before it’s too late. And there are similarity in these expressions – they are terms of geometric progression in which the first term is equal to
and the common ratio of a geometric progression is . That’s the simplest case when you make a contribution immediately and without further investment to it. To do not distract the user from the calculator itself, it’s located below. Also, there is a little bit of theory and formulas for those who need it.
Yes, Send My FREE Wealth Building Blueprint!
Suppose you deposit $135 into an account every quarter and the bank promises to pay you interest of 6% compounded quarterly. You want to see how much you will have in the account at the end of three years. The way this works is that after the first quarter of the first year, you add $135 into your account.
- The longer your investment account will be open, the more you can earn, because interest will compound every year.
- They may have other expenses they feel more urgent with more time to save.
- When compounding of interest takes place, the effective annual rate becomes higher than the overall interest rate.
- If you save and invest over a long period, compounding can help you reach your financial goals.
When there’s compound interest, the money you earn each year is added to the money you already have. So, instead of just growing, the accumulated interest grows at an increasing rate which helps save for retirement or invest in stocks. Compound interest also accounts for the effects of inflation and repaying debt.
Monthly Compounding Interest Calculator
It is precisely this figure which is the most important in calculating compound interest. The longer your investment account will be open, the more you can earn, because interest will compound every year. This is the amount which you would like to use when you open an account or with which you would like to begin investing. It is often said that this is the most important parameter, but in practice that is not always the case. For example, when there is a high interest rate or if the interest rate is paid out frequently.
- Zero-coupon-bond issuers use the power of compounding to increase the value of the bond so it reaches its full price at maturity.
- Calculate compound interest on an investment, 401K or savings account with annual, quarterly, daily or continuous compounding.
- For the remainder of the article, we’ll look at how compound interest provides positive benefits for savings and investments.
- Compound interest is a type of interest that’s calculated from both the initial balance and the interest accumulated from prior periods.
- Many of the features in my compound interest calculator have come as a result of user feedback,
so if you have any comments or suggestions, I would love to hear from you.
- The larger balance earns more interest, which leads to higher yields.
It is also worth knowing that exactly the same calculations may be used to compute when the investment would triple (or multiply by any number, in fact). All you need to do is just use a different multiple of P in the second step of the above example. If you include regular deposits or withdrawals in your calculation, we switch to provide you with a Time-Weighted Rate of Return (TWR). For the remainder of the article, we’ll look at how compound interest provides positive benefits for savings and investments. Use the tables below to copy and paste compound interest formulas you need to make these calculations in a spreadsheet such as Microsoft Excel, Google Sheets and Apple Numbers. The compound interest calculator lets you see how your money can grow using interest compounding.
Example 1 – basic calculation of the value of an investment
Each tool is carefully developed and rigorously tested, and our content is well-sourced, but despite our best effort it is possible they contain errors. We are not to be held responsible for any resulting damages from proper or improper Is Bookkeeping Hard to Learn All your Questions Answered use of the service. Future Value – The value of your account, including interest earned, after the number of years to grow. Beginning Account Balance – The money you already have saved that will be applied toward your savings goal.
In other words, compound interest is the interest on both the initial principal and the interest which has been accumulated on this principle so far. Therefore, the fundamental characteristic of compound interest is that interest itself earns interest. This concept of adding a carrying charge makes a deposit or loan grow at a faster rate.
A compound interest calculator is a powerful tool for anyone who wants to save money and calculate compound interest. This tool will teach you how to calculate and use one to make your money work better. We’ll also explore the benefits of a compound interest rate, including its long-term effect on your savings account or investment portfolio. This compound interest calculator is a tool to help you estimate how much money you will earn on your deposit. In order to make smart financial decisions, you need to be able to foresee the final result.
Simply divide the number 72 by the annual rate of return and the result of this is how many years it’ll take. Interest can be compounded on any given frequency schedule, from continuous to daily, monthly, quarterly to annually. When calculating compound interest, the number of compounding periods makes a significant difference for future earnings.
The process repeats until at the end of three years, you deposit your last $135 that will not accrue interest since you are depositing it on the same day you are checking the balance in your account. Remember also that, because you are compounding quarterly, the annual rate must be divided by four since your deposits are earning interest every quarter. Using shorter compounding periods in our compound interest calculator will easily show you how big that effect is. You get the best effective rate when you have daily compounding (also called continuous compounding) and slightly worse with monthly or yearly compounding. Compounding interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. Apart from CI, this compound interest calculator helps you to calculate principal and rate of interest too.
Enter all the information into the calculator to determine how much your money can grow using the power of compound interest.
They invest $5,000 initially, then $500 monthly for 15 years, also averaging a monthly compounded 4% return. By age 65, your twin has only earned $132,147, with a principal investment of $95,000. Compound interest can significantly boost investment returns over the long term.
As you can see, this is a very complex formula, and unless you’re a math whiz, you probably won’t get it right the first time. Calculate the future value after 10 years present value of $5,000 with annual interest of 4%. Number of Years to Grow – The number of years the investment will be held. Expectancy Wealth Planning will show you how to create a financial roadmap for the rest of your life and give you all of the tools you need to follow it. If you take out a loan, then compound interest can help you to find out how much you will owe at the end of the loan period.
However, when using our compound interest rate calculator, you will need to provide this information in the appropriate fields. Don’t worry if you just want to find the time in which the given interest rate would double your investment; just type in any numbers (for example, 111 and 222). As the main focus of the calculator is the compounding mechanism, we designed a chart where you can follow the progress of the annual interest balances visually. If you choose a higher than yearly compounding frequency, the diagram will display the resulting extra or additional part of interest gained over yearly compounding by the higher frequency. Thus, in this way, you can easily observe the real power of compounding.
Triple Compounding: The Power of Tax-Deferral
Now we also can’t use the same rate, because if we have n as 10, and we used our annual rate, then this would be compounding annually for ten years. In order to adjust the rate, we must divide it by 2, since we are now earning 2% per period rather than 4%. This may seem a little confusing, but just remember that no matter how many periods over which your principal is compounding, your compounding rate must match the length of the period. If you want to know how much interest your investment will earn, our compound interest calculator can help. Contact us today to request a service quote or learn more about our products and solutions. Compound interest formulas are the interest rate you earn on your money during a compounding period in a financial institution or insurance company savings account.


Prof. Ken Hayami (National Institute of Informatics)
Dr. Yasunori Aoki (Uppsala University)
Cluster Newton Method Source Code:
COPYRIGHT © 2014-2022 Yasunori Aoki, Ken Hayami and Akihiko Konagaya
Released under the MIT license:
Here is the procedure to make the MATLAB code work with version R2015b. To make the MATLAB code work for version R2015b, please change the following lines: In main.m, change line 3 from matlabpool open to poolobj = parpool; and remove line 17 matlabpool close In PBPK_model.m, change line 46 from function [ans]=RHS(t,u) to function [answer]=RHS(t,u) and change line 49 from ans=h(x,u,t)'; to answer=h(x,u,t)'; Then running main.m should perform as usual.
Please provide feedback if you have any questions or suggestions.
info-elsi [at] cbiri.cbi-society.info
The following MATLAB codes of Aoki’s original Cluster Newton Method and Arikuma Irinotecan PBPK model are released under the MIT license:
In zipfile: inverse_prob_PBPK_model_start_here
Yasunori Aoki, Ken Hayami, Hans De Sterck, Akihiko Konagaya: Cluster Newton Method for Sampling Multiple Solutions of Underdetermined Inverse Problems:Application to a Parameter Identification Problem in Pharmacokinetics, SIAM J. Scientific Computing, 36 (1), B14-B44 (2014); available at 10.1137/120885462 and NII-2011-002E
 Arikuma T, Yoshikawa S, Azuma R, Watanabe K, Muramatsu K, Konagaya A.: Drug interaction prediction using ontology-driven hypothetical assertion framework for pathway generation followed by numerical simulation, BMC Bioinformatics, vol. 9 (Suppl 6), S11 (2008); available at doi:10.1186/1471-2105-9-S6-S11
* Arikuma irinotecan PBPK model was originally written by Takeshi Arikuma in GNU Octave in 2008, and then rewritten and improved by Yasunori Aoki in Matlab in 2011.
The following MATLAB codes of Yoshida’s Cluster Newton Method, Gaudreau’s Cluster Newton Method are published as some derivatives of the original cluster newton method under the Academic Free License, version 3.0 specified below. The following references should be cited when publishing related topics with these codes, respectively.
Yoshida K, Maeda K, Kusuhara H, Konagaya A: Estimation of feasible solution space using Cluster Newton Method: application to pharmacokinetic analysis of irinotecan with physiologically-based pharmacokinetic models, BMC Systems Biology 2013, 7 (Suppl 3): S3 (2013); available at doi:10.1186/1752-0509-7-S3-S3
Philippe Gaudreau, Ken Hayami, Y. Aoki, Hassan Safouhi, Akihiko Konagaya:
Improvements to the cluster Newton method for underdetermined inverse problems.J. Computational Applied Mathematics283:122-141(2015); available at doi:10.1016/j.cam.2015.01.014 and NII-2013-002E
In zipfile: invprob_140127


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By fetishising mathematical models, economists turned economics into a highly paid pseudoscience syndicate this essay but real-world history tells a different story, of mathematical models masquerading as science and. Check out these steps to help you write the best scholarship essay you possibly subjects in school: math, science, history, civics, economics, english, or other. There are many different ways to get a good mark on your extended essay group 3 - geography, history, and itgs extended essay report:mathematics.
These are some essay questions that i had to answer for my history of mathematics class that i took during the summer of 2001 they're very short and to the. The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an. Keep this in mind when you're writing argumentative essays in the future to make a compelling case, you have to take the other side's.
How to write a math essay tevian dray 1998 you must do some math a discussion of the history of non-euclidean geometry is not appropriate. Look at these critical essays written by sussex students (click on the essay image to view) think about what we covered in the section on critical writing and ask. As part of the master of mathematics / master of advanced study, candidates may choose to offer an essay this will count for 3 units, or about a sixth of the. The following essay topics cover the history of mathematics through the ancient world and makes connections between the two teachers who would like to.


Odds Converter is a free and simple tool to convert fractional, decimal and moneyline odds. Odds Converter. Odds Comparison; Surebet finder; Betting Tips; Convert betting odds. Convert from decimal: Convert from fractional: Convert from moneyline: Fractional Odds (Also known as Traditional or British) Used mainly in the UK and in international horse racing. Becoming less popular online. Tell.
How to Use the Sports Betting Odds Calculator and Converter. To convert between different odds formats and calculate your payout, simply follow these 2 easy steps: Fill in the odds in any of the odds fields: American, decimal, fractional or implied; Enter the amount you want to bet, i.e. your stake; That’s it!Betting Calculator - Enter your odds and stake to calculate bet returns for all types of sport wager. Supports all major formats including decimal, fraction and american. Dutching calculator - Odds changed since you placed your last bet? Use this calculator to work out the stakes necessary to guarantee a fixed return irregardless of the outcome.Live Sports American Football: Baseball: Basketball: Boxing: Cricket: Cycling: Darts: Football: Golf: Horse Racing: Motor Racing: Rugby League: Rugby Union: Snooker: Tennis Live Entertainment None Available Bookmakers Bet365: BETDAQ: Betfair: Centrebet: Coral: Ladbrokes: Stan James: William Hill: Live Betting Tools Odds Converter. Please note: these tools are for information purposes only and.
These betting odds formats are covered in odds.converter at the moment. US Odds (shortform us) Decimal Odds (shortform dec) Probability (shortform prob) Honk Kong Odds (shortform hk) Malaysian Odds (shortform malay) Indonesian Odds (shortform indo) Please contact me if there is a betting odds format that needs to be added to this package.
Odds Converter Calculator helps you to convert Decimal odds, traditional UK odds, American odds and probability between each other Read More Manual for Sports Betting Odds Creator.
Odds Converter. Getting the best odds when betting on sports is very important and can be the difference between a winning bettor and a loosing one. Very often odds offered from online bookmakers can vary from one to the other with their location being a key reason. Asian and European bookmakers would normally offer sharper odds on Soccer, Cricket, Rugby, Euro Basketball and other sports that.
This is due to the fact sports betting didn’t evolve from one region and spread around the world but is in fact a very basic human behaviour and therefore evolved separately around the world. With the advancements in internet betting these different regional betting odds are now available to everyone but for anyone who is use to one odds display the new displays will seem very confusing. Our.
A betting odds calculator and converter multiplies the stake by the odds to determine the potential profit on your sports betting wagers. Simply enter your stakes and odds, and our tools will tell you how much profit you should expect to receive using American, fractional or decimal odds.
Odds Wizard is a major software product of Newhaven Software. It generates any kind of performance-based odds for the upcoming games in any league sports, such as soccer, hockey, baseball, American football, rugby, basketball, and tennis. Program maintains Internet-updateable databases with the past games for over 100 soccer leagues of Europe, Asia and America, UEFA Champions League, Europa.
Our sports betting odds calculator and converter will allow you to convert odds between different formats instantly. You will also be able to calculate your potential payout based on the odds and your bet amount immediately. Convert between US odds (moneyline odds), decimal odds, fractional odds, Hong Kong odds, Indonesian odds, Malay odds, and implied probability.
Using a sports betting calculator is highly recommended, espaicllly when there is a need for calculator odds ratio bet money. The enormous amount of data and the rapidness of updates from the field, might make it hard for the bettors to concentrate on picking the right team, driver or horse, when instead of calculating statistics and comparing it the the other match participants the bettors.
An odds converter is especially beneficial if you have moved to a new country with a new odds format, if you are travelling or if you are betting with an international sportsbook. Decimal odds show the amount of money the bettor will receive back multiplied by the original stake.
The easiest sports betting math gamblers possess is the ability to convert odds and calculate their break even point, also known as implied probabilities. Many bettors did these calculations on a windows calculator and later in an excel spread sheet as things progressed, but here is a fully developed odds converter tool for sports gamblers of any skill level.
A series of calculators to help a sports bettor convert odds, size bets correctly or evaluate winrate.
Betting Odds Converter - Fraction to Decimal Convert those Betting odds from Fractions to Decimals or Decimal to Fraction using the chart below. TIP: Did you know that most online bookmakers allow you to select either the traditional Fractional odds or the Decimal equivalent when viewing their available books.
Converting Sports Betting Odds. The odds converter tool in this page will convert odds from any of the three main formats into the other formats. It will also calculate the relevant implied probability too. To use it, simply enter the odds you wish to convert in the appropriate box, and then click the “Convert Odds” button. It’s as easy.


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Lies, Damned Lies, and Statistics. Statistics is about analyzing data, for instance the mean is commonly used to How does this variance calculator work? Variance is a statistical measure of how much the values in a data set researched are likely to vary from the mean of the values of the sample or of the population in question. Basically the variance is the average of the squares of the deviations from the mean. Using the Variance Calculator.
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For example, you can calculate variance between sales in this year and last year, between a forecast and observed temperature, between a budgeted cost and the real one. Variance Calculation – Few Details. The difference settled variance of each data factor from the mean. Computing the difference gives us a suggestion of how to spread out an information collection is around its average value. The variation equation is the square of the standard deviation equation. Variance calculation is a great way for data analysis as this let us know the spread through of variation in the data set. Start Your Free Excel Course Excel functions, formula, charts, formatting creating excel dashboard & others Variance calculator, formulas & work with step by step calculation to measure or estimate the linear variability of whole elements in a population (σ²) or sample (s²) data distribution from its mean in statistical experiments.
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You can use a Cosmic Variance Calculator. Version 1.03 - 24 July 2020. Short Description - README · Bugs · Contact Us For more details, you may also be interested in Apr 22, 2019 Variance is defined as the average of the squared deviations from the mean. To calculate the variance, you first subtract the mean from each Apr 8, 2021 The Cost Variance (CV) calculator computes the difference between the Earned Value (EV) and the Actual Cost (AC).
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Many computations can be completed on a hand calculator, whereas some conduct analyses such as multiple regression or analysis of variance should be Du kan ju lattja runt i en varians kalkylator, som den här http://www.pokerdope.com/poker-variance-calculator/ Hur mycket tid lägger du ned på (data) # returnerar 2.581988897471611 statistics.variance (data) # returnerar 7.5 statistics.stdev (data) Crearea de jocuri pe calculator și aplicații mobile. Variance(List n [,List m]).
BYJU’S online variance calculator tool makes the calculation faster, and it displays the variance in a fraction of seconds. How to Use the Variance Calculator? The procedure to use the variance calculator is as follows:
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However, the square root of variance is the standard deviation, and that is If A is a vector of observations, the variance is a scalar. If A is a matrix whose columns are random variables and whose rows are observations, V is a row vector containing the variances corresponding to each column. If A is a multidimensional array, then var(A) treats the values along the first array dimension whose size does not equal 1 as 2019-05-29 · The percent variance formula shows how much something changes between two periods. For example, you can calculate variance between sales in this year and last year, between a forecast and observed temperature, between a budgeted cost and the real one.
Befolkningsvarians: populationsvarians 4.1 Principles of Calculation/Setting of Standards . 36 8.6 Calculation of Results . Minimum Variance Unbiased Estimate. NATA. Morality isn't a compass—it's a calculator · DB Krupp · July 10, 2017 · Publication.
After you insert your data set, it calculates the mean and standard deviation of data automatically in the background and delivers the very precise value for the coefficient of variation.


Hamden public school organizes its curriculum into units in the Understanding By Design framework, which assists our teachers in implementing a standards-based curriculum that leads to student understanding and achievement. Hamden's curriculum aligns with the Common Core State Standards (CT Core Standards). More information on the specifics of English/language arts, mathematics, science and social studies can be found in our academics section of this site.
Speak with your child's teacher for specifics on curriculum content and delivery.
Middle School Curriculum
Our middle school curriculum is rigorous and varied, and includes core and limited elective courses. A full description can be found on the Academic Programs section of the HMS Website.
High School Curriculum


Non-linear mathematical interpretation of kinetics of physico-chemical unit processes. part 1. novel kinetic wave model.
- At: 2006 FIP Congress in Salvadore (Brazil)
- Type: Poster
- By: KUBIS, Aleksander (Wroclaw Medical University, Wroclaw, Poland)
- Co-author(s): Marciniak, Dominik (Wroclaw Medical University, WROCLAW, Poland)
Kubis, Aleksander (Wroclaw Medical University, WROCLAW, Poland)
The paper presents a trial of a novel approach to the problems of active substance release from the dosage form, in particular to the premises being the basis of mathematical models used in description of these phenomena. The paper starts with a critical analysis of standard mathematical models used in the description of kinetics of active.. The access to the whole abstract and the presentation file is available to FIP members and to congress participants of that specific congress.


Karachi: 6 years old Liba Wahaj becomes the youngest Pakistani to get the Guinness World Record.
Liba Wahaj belongs from Karachi and now possesses the Guinness World Record for the level six of Tower of Hanoi. However, Tower of Hanoi is the mathematics puzzle that possesses three rods and disks of different sizes. Liba Wahaj solved the whole puzzle in just 1 minute and 13 seconds. However, she broke the previous record of 2 minutes and 30 seconds.
She is the daughter of renowned educationist Wahaj Hussain. Liba achieved this milestone in April 2018 and made Pakistan proud by setting example for other youngsters.
Here is her video of solving the Tower of Hanoi puzzle in just few seconds.


Below you can find a snippet to calculate the difference in days, hours, minutes, and seconds - between two dates.
const deadline = new Date("2050-01-01T00:00:00-06:00");
const now = new Date();
let delta = (deadline.getTime() - now.getTime()) / 1000;
const days = Math.floor(delta / 86400);
delta -= days * 86400;
const hours = Math.floor(delta / 3600) % 24;
delta -= hours * 3600;
const minutes = Math.floor(delta / 60) % 60;
delta -= minutes * 60;
const seconds = Math.floor(delta % 60);
First, we calculate the difference between two dates.
86400 - is the number of seconds in a day (60x60x24)
3600 - is the number of seconds in an hour (60x60)
You can use it to display a countdown towards a future date, for example by recalculating it every second, using
setInterval, and updating some HTML elements.
You can also use it to display how much time passed since a past date (a count up), but in that case, make sure yo wrap the
Math.abs, otherwise you will get negative numbers.


Percents worksheets with dollar amounts and decimal answers.In this word problem worksheet, students find the percent of a number.
Other math worksheets available: place value, multiplication, division,.Sincere thanks goes to Sherita Cash for her time and effort in editing the worksheets for correct answers for this webpage.
Verified Book Library Percent Word Problems Worksheets With Answers Summary Ebook Pdf: Percent Word Problems Worksheets With Answers tons of free math worksheets at.Percent Word Problems Worksheet. Answers to Math Word Problems.
Printable worksheets and online practice tests on Percentage for Grade 7.Click one of the buttons below to view a worksheet and its answer key.Convert from fractions and decimals to percents, solve word problems, and more.You need Adobe Acrobat Reader to view and print these resources.All worksheets are free and formatted for easy printing and include an option to view the answers. percentages, and division. Distance Word Problems Worksheet.Verified Book Library Percent Word Problems Worksheet Answers Summary: Ebook 11,92MB Percent Word Problems Worksheet Answers Free Download percent word problems.Title: Grade 5 math word problems with percentages Author: Erik.A variety of percent calculations questions on each worksheet with a variety of percent amounts and with various complexities of the numbers used.Percents worksheets including. there are worksheets involving the three main types of percentage problems:.
Math Busters Word Problems reproducible worksheets are designed to help teachers,.Percent increase and decrease worksheets with a variety of percent amounts and with various complexities of the numbers used.
Percent Word Problems Answer Key. 1. Twenty-seven percent of flowers in a garden are red.Sometimes you will have to do extra steps to solve the problem.Test Your 5th Grader with These Math Word Problem Worksheets.Calculating the original amount given the percentage value and rate worksheets with a variety of percent amounts and with various complexities of the numbers used.Math Word Problems Solved Reproducible Worksheets Reproducible Worksheets for: Sports Word Problems Starring Decimals and Percents These worksheets are reproducible.
Download or Read Online eBook tax and tip percent word problems answer key in PDF Format From The Best User Guide.
Percents worksheets with dollar amounts and whole number answers.Word Problems: Percent Increase and Decrease: In order to solve problems that deal with percentage of increase or decrease, you should be able to:.What percent of the total number of letters in the word PERCENTAGE does the letter E constitute.


Well, I’m fresh out of a Relationship, but I don’t want to wallow in self-pity and stay down too long. But that means I’m a little slow to jump in head first. Moreover, suppose that the three variables are independent. Relationship ended with meme.
Merle Haggard & Bonnie Owens-Slowly But Surely. Dating with herpes. Relationship between F and t statistics. It might initially appear that the analysis of variance and t-tests are different for the hypotheses. Recall that the t-test is.
Dating and relationships don't happen by accident. They are a combination of timing and chemistry. If you want to find love, try this. home / study / math / statistics and probability / statistics and probability questions and answers / Explain The Relationship Between The F-ratio And The T-. I will let you fill in some gaps and recall definitions of distributions. Relationship f and t statistics. Relationship between f, f' and f'', Calculus , Math. Dating korean american man. You love your boyfriend, but his mom…yikes! Here’s how to stop your boyfriend’s mother from causing problems and ruining your relationship with the man you love. An investigation could lead to questions that the. chairman, Ajit Pai, has so far tried to avoid answering in public. Relationship f and t statistics. It's because quantiles are only preserved under monotone transformations, and the square function fails to be monotone when we're dealing with positive and..
Stata | FAQ: Relationship between the chi-squared and F distributions. F and chi-squared statistics are really the same thing in that, after a normalization. chi-squared and F is the same as the relationship between t and the normal.


Certain techniques utilized for calculating unwanted fat
There are lots of particular strategies utilized for calculating unwanted fat. The calculator above utilizes a way involving equations developed at the Naval wellness Research Center by Hodgdon and Beckett in 1984. The strategy for calculating the body that is relevant along with the certain equations used are supplied below:
- Assess the circumference associated with the topic’s waistline at a level that russianbridesfinder.com/ukrainian-brides/ is horizontal the navel for guys, and also at the amount aided by the smallest width for women. Make sure the topic will not pull their belly inwards to acquire accurate measurements.
- Gauge the circumference associated with the topic’s throat starting underneath the larynx, because of the tape sloping downward into the front side. The niche should avoid flaring their throat outwards.
- The circumference of the subject’s hips at the largest horizontal measure for women only: measure.
When these dimensions are acquired, utilize the formulas that are following determine an estimate of extra weight. Two equations are offered, one utilizing the U.S. customary system (USC) which utilizes ins, in addition to other utilising the Overseas System of Units, particularly the system of centimeters:
Body fat portion (BFP) formula for men:
|BFP = 86.010Чlog10(abdomen-neck) – 70.041Чlog10(height) + 36.76|
|SI, Metric Devices:|
Body fat portion (BFP) formula for females:
|BFP = 163.205Чlog10(waist+hip-neck) – 97.684Ч(log10(height)) + 36.76|
|SI, Metric Units:|
Observe that link between these calculations are just an estimate since they will be predicated on a lot of different presumptions to ensure they are as relevant to as many folks that you can. For lots more accurate dimensions of excessive fat, the usage instruments such as for example bioelectric impedance analysis or hydrostatic thickness evaluation is necessary.
Fat mass (FM) formula:
Lean Mass (LM) formula:
Another means for determining an estimate of body percentage that is fat BMI. Relate to the BMI Calculator to have an estimate of BMI for usage with all the BMI technique, in addition to further information as to how BMI is determined, its implications, and its particular restrictions. Quickly, the estimation of BMI requires the usage of formulas that want the dimension of an individual’s weight and height. Provided BMI, the next formulas can help calculate someone’s human anatomy percentage that is fat.
Body percentage that is fatBFP) formula for adult men:
BFP = 1.20 Ч BMI + 0.23 Ч Age – 16.2
Body percentage that is fatBFP) formula for adult females:
BFP = 1.20 Ч BMI + 0.23 Ч Age – 5.4
Body percentage that is fatBFP) formula for guys:
BFP = 1.51 Ч BMI – 0.70 Ч Age – 2.2
Body fat portion (BFP) formula for women:


A team of teachers has been engaging in professional development together through their participation in the Sydney Catholic Schools Mathematical Expertise and Excellence initiative. As part of this, teachers apply their learnings from workshops by teaching lessons to their students under the observing eyes of their colleagues. In this way, they are able to support one another, giving feedback and picking up strategies to help them improve their own practice. Ultimately, as the teachers learn together, the quality of the instruction and learning for our students also strengthens. Furthermore, the students love having extra teachers to work with during their mathematics lessons.


Elliptic Curve Cryptography (ECC)
Elliptic Curve Cryptography (ECC) is a key-based technique for encrypting data famous for being smaller, faster, and more efficient than incumbents. ECC focuses on pairs of public and private keys for decryption and encryption of web traffic. ECC is frequently discussed in the context of the Rivest–Shamir–Adleman (RSA) cryptographic algorithm.
There are two main different types of encryptions - symmetric encryption, which uses one key to both encrypt and decrypt (e.g. AES), and asymmetric encryption, which uses two different keys (e.g. RSA). These are often called a public and private key, where the private key is not to be disclosed.
RSA uses integer factorization cryptography based on algebraic number theory, while elliptic curve cryptography (ECC) uses integer factorization cryptography based on elliptic curves.
Elliptic Curve Cryptography is a choice for public-key-cryptography, based on elliptic curves over finite fields.
ECC is used as the cryptographic key algorithm in Bitcoin because it potentially can save ~90% of the resources used by a similar RSA system.
RSA vs. ECC
ECC and RSA both generate a public and private key and allow two parties to communicate securely. One advantage to ECC however, is that a 256-bit key in ECC offers about the same security as a 3072-bit key using RSA. ECC allows resource-constrained systems like smartphones, embedded computers, and cryptocurrency networks to use ~10% of the storage space and bandwidth required by RSA.
Based on the idea that the key that anyone uses to encrypt data can be made public while the key that is used to decrypt your data can be kept private. As such, these systems are known as public key cryptographic systems. The first, and still most widely used of these systems, is known as RSA — named after the initials of the three men who first publicly described the algorithm: Ron Rivest, Adi Shamir and Leonard Adleman.
When both the RSA algorithm and the Diffie-Hellman key exchange algorithm were introduced, these new algorithms were revolutionary because they represented the first viable cryptographic schemes where security was based on the theory of numbers. It was the first to enable secure communication between two parties without a shared secret.
Cryptography went from being about securely transporting secret codebooks around the world to being able to have secure communication between any two parties without worrying about someone listening in on the key exchange.
After the introduction of RSA and Diffie-Hellman, researchers explored other mathematics-based cryptographic solutions looking for other algorithms beyond factoring that would serve as good Trapdoor Functions.
In 1985, cryptographic algorithms were proposed based on an esoteric branch of mathematics called elliptic curves.
An elliptic curve is the set of points that satisfy a specific mathematical equation, something that looks a bit like the Lululemon logo tipped on its side.
There are other representations of elliptic curves, but technically an elliptic curve is the set points satisfying an equation in two variables with degree two in one of the variables and three in the other. An elliptic curve has some properties that make it a good setting for cryptography.
Neal Koblitz and Victor Miller independently co-discovered elliptic-curve cryptography which is part of the mathematics that allows encrypted communication on the internet today.
In an interview with All About Circuits (AAC) in 2019, Dr. Koblitz said:
"What changed my feeling about number theory was the invention of RSA cryptography (Rivest-Shamir-Adleman) in about 1977. That was the first important application of number theory to computer security."
"The idea of elliptic-curve cryptography came in 1984. I, along with several other people received a pre-print, a rather preliminary-version, of an algorithm that Hendrik Lenstra developed to factor large integer numbers. If this algorithm was sufficiently fast, it could be a threat to RSA cryptography. "
Elliptic Curve Cryptography (ECC)
December 12, 2023
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The use of technology is a priority at Bellingham. We know that our students need to be ready for the 21st century. With that in mind, Bellingham has two computer labs, a desktop lab and a laptop lab. We also regularly incorporate the use of iPads, laptops, Chromebooks, EBeams, and digital technology throughout our curriculum.
This year we will be using a new software program called MobyMax. Teachers will be able to have students work on reading, writing, math, science, and other curricular areas with this software program. We will share more information regarding MobyMax later this school year.
ST Math: K-6 grade-leveled instructional software is designed to help all students reach math proficiency through self-paced, language-independent, mastery-based objectives. Students in grades 2nd-4th may access ST Math. Follow these simple steps to access ST Math at home!
- Go to www.stmath.com
- Click on the homework button.
- Student must enter their 13 picture password
- If it is the first time accessing at home type in Bellingham Elementary School in the School Name box
* For ST Math to work properly 1GB of RAM is required.


Redesigning Developmental Math Courses & ServicesApril 1, 2009
Most postsecondary institutions offer remedial coursework in mathematics. Over 60% of students enrolled in the nation’s community colleges take a least one developmental education course. In the past decade colleges have been redesigning their developmental education programs to improve student retention. Watch this session to find out which redesign models for developmental mathematics are showing promise.
Mr. Jack RotmanProfessor, Department of Mathematical Skills
Chair of AMATYC’s Developmental Mathematics Committee
Dr. Mary Monroe-EllisDean of Transitional Studies
Pellissippi State Technical Community College, Tennessee


Goldene 7 online spielen – zahlreiche Gewinnmöglichkeiten. 10 Rubbelfelder – noch mehr Gewinnchancen: Bei der „Goldenen 7“ zählen die Symbole. Spielanleitung. Rubbeln Sie die Spielfelder mit den Goldbarren und den €-Zeichen frei. Befindet sich unter einem Goldbarren eine "7", ist der Betrag daneben. Goldene 7, das Rubbellos mit 10 Chancen auf einen Gewinn. Hier online bei LOTTO Sachsen-Anhalt rubbeln.
KundenserviceGoldene 7, das Rubbellos mit 10 Chancen auf einen Gewinn. Hier online bei LOTTO Sachsen-Anhalt rubbeln. Goldige Aussichten und 10 Gewinnchancen auf bis zu € gibt es beim 5 €-Los „Goldene 7“. Das Rubbellos Goldene 7 von SACHSENLOTTO mit 10 Gewinnchancen auf einen Höchstgewinn von € (Chance ).
Goldene 7 Teilnahmebedingungen VideoDie Goldene Sieben - Kleine Melodie (1937)
The acute triangles are golden triangles. The obtuse isosceles triangles are golden gnomons. The golden ratio properties of a regular pentagon can be confirmed by applying Ptolemy's theorem to the quadrilateral formed by removing one of its vertices.
Consider a triangle with sides of lengths a , b , and c in decreasing order. A golden rhombus is a rhombus whose diagonals are in the golden ratio.
The rhombic triacontahedron is a convex polytope that has a very special property: all of its faces are golden rhombi. The mathematics of the golden ratio and of the Fibonacci sequence are intimately interconnected.
The Fibonacci sequence is:. A closed-form expression for the Fibonacci sequence involves the golden ratio:. The golden ratio is the limit of the ratios of successive terms of the Fibonacci sequence or any Fibonacci-like sequence , as shown by Kepler : .
For example:. The golden ratio has the simplest expression and slowest convergence as a continued fraction expansion of any irrational number see Alternate forms above.
It is, for that reason, one of the worst cases of Lagrange's approximation theorem and it is an extremal case of the Hurwitz inequality for Diophantine approximations.
This may be why angles close to the golden ratio often show up in phyllotaxis the growth of plants. The multiple and the constant are always adjacent Fibonacci numbers.
The golden ratio appears in the theory of modular functions as well. This gives an iteration that converges to the golden ratio itself,. These iterations all converge quadratically ; that is, each step roughly doubles the number of correct digits.
The golden ratio is therefore relatively easy to compute with arbitrary precision. The time needed to compute n digits of the golden ratio is proportional to the time needed to divide two n -digit numbers.
An easily programmed alternative using only integer arithmetic is to calculate two large consecutive Fibonacci numbers and divide them.
The ratio of Fibonacci numbers F and F , each over digits, yields over 10, significant digits of the golden ratio. Both Egyptian pyramids and the regular square pyramids that resemble them can be analyzed with respect to the golden ratio and other ratios.
The isosceles triangle that is the face of such a pyramid can be constructed from the two halves of a diagonally split golden rectangle of size semi-base by apothem , joining the medium-length edges to make the apothem.
This Kepler triangle  is the only right triangle proportion with edge lengths in geometric progression ,   just as the 3—4—5 triangle is the only right triangle proportion with edge lengths in arithmetic progression.
The Rhind papyrus has another pyramid problem as well, again with rational slope expressed as run over rise.
This triangle has a face angle of Egyptian pyramids very close in proportion to these mathematical pyramids are known. In the mid-nineteenth century, Friedrich Röber studied various Egyptian pyramids including those of Khafre , Menkaure , and some of the Giza , Saqqara , and Abusir groups.
He did not apply the golden ratio to the Great Pyramid of Giza, but instead agreed with John Shae Perring that its side-to-height ratio is For all the other pyramids he applied measurements related to the Kepler triangle, and claimed that either their whole or half-side lengths are related to their heights by the golden ratio.
In , the pyramidologist John Taylor misinterpreted Herodotus c. Similarly, Howard Vyse reported the great pyramid height Michael Rice  asserts that principal authorities on the history of Egyptian architecture have argued that the Egyptians were well acquainted with the golden ratio and that it is part of the mathematics of the pyramids, citing Giedon For example, Keith Devlin says, "Certainly, the oft repeated assertion that the Parthenon in Athens is based on the golden ratio is not supported by actual measurements.
In fact, the entire story about the Greeks and golden ratio seems to be without foundation. From measurements of 15 temples, 18 monumental tombs, 8 sarcophagi, and 58 grave stelae from the fifth century BC to the second century AD, one researcher concluded that the golden ratio was totally absent from Greek architecture of the classical fifth century BC, and almost absent during the following six centuries.
The Section d'Or 'Golden Section' was a collective of painters , sculptors, poets and critics associated with Cubism and Orphism. Livio, for example, claims that they did not,  and Marcel Duchamp said as much in an interview.
Piet Mondrian has been said to have used the golden section extensively in his geometrical paintings,  though other experts including critic Yve-Alain Bois have discredited these claims.
From Wikipedia, the free encyclopedia. This article is about the number. For the calendar dates, see Golden number time.
Ratio between two quantities whose sum is at the same ratio to the larger one. List of numbers Irrational numbers.
Further information: Mathematics and architecture. Further information: Mathematics and art and History of aesthetics before the 20th century.
Main article: Canons of page construction. Main article: Patterns in nature. Further information: Mathematics and art. Golden angle List of works designed with the golden ratio Metallic mean Plastic number Sacred geometry Supergolden ratio.
The sum of the two solutions is one, and the product of the two solutions is negative one. In , Roger Herz-Fischler traced the error back to Taylor.
Math Vault. Retrieved Karl Fink's Geschichte der Elementar-Mathematik 2nd ed. Chicago: Open Court Publishing Co. Norton, p. The sole value of these ratios is that they are intellectually fruitful and suggest the rhythms of modular design.
The New York Times. New York: Sterling. Euclid's Elements of Geometry. Mathematics Teacher. Historia Mathematica. Count Dracula journeys to a remote Chinese village in the guise of a warlord to support six vampires who are dispirited after the loss of a seventh member of their cult.
At the same time, vampire hunter Prof. Van Helsing happens to be lecturing in the country and is persuaded by villagers to help them fight this curse of the ages.
I usually try to avoid "defending" movies that I like. If people get it fine, if they don't, well them's the breaks.
But now after finally having seen a restored widescreen presentation courtesy of Anchor Bay I am convinced that one of the reasons why the effort left me cold the first few times through was due to the miserable, scrappy, fullscreen home video versions available previously which excluded as much as 12 minutes of footage.
I came of age during the home video years and heading out every week to the various rental shops in our area to see what Hammer or Hammer related flicks we could find became a regular past time.
Rumor had it that the movie involved Van Helsing tracing the elusive Count Dracula to colonial era China where he'd set up shop and acquired a taste for the local food.
Hijinx awaited in the form of supernatural kung-fu battles with a band of seven specialist martial arts masters, who were of course brothers, fighting off legions of vampiric barbarians.
Somehow the combination sounded like trying to mix oil with water and when I finally managed to find the meager VHS release of the film my apprehension was proved well- founded by a muddled mix of Gothic horror chills with difficult to follow chop-socky interludes.
The pan-and-scan compression of the widescreen shots was dizzying, the vampire interludes were anything but the dreamy "foggy castle on a hill" variety that Hammer had become specialists in, with lots of insert shots of Peter Cushing standing around looking concerned while Julie Ege's bosoms heaved, cruelly encased in her cleavage baring tops.
It turns out however that much of this muddling and cockamamie mish-mashing was due to the confinement of Roy Ward Baker directing the talking scenes and Cheh Chang's directing the martial arts scenes marvelous widescreen Techniscope photography into a claustrophobic, nappy lookin' fullscreen image.
Fading of color and reduction print distortions didn't help much, and my opinion now after seeing the widescreen print is that much of the disdain aimed at the film is in fact aimed at the miserable presentations that have been available until now.
Sure, it's still a bit cobbled together. The public didn't seem to care but the result were two very charming movies that had the gall to be different, even if horror fans had moved on.
Hammer was hoping to extend their life by coming up with some new series and their collaboration with Shaw Brothers productions was perhaps both ahead of its times while a year or three too late to save the company.
It was a glorious failure that deserves to be seen again now that present day technology can give viewers a better estimation of the movie's intended form.
It is surprisingly entertaining and compulsively watchable. It's still somewhat confusing if you are looking for a discreet, beginning-middle- end story progression.
Just by turning his head slightly to the side and raising an eyebrow Peter Cushing is a treat, nobody can look concerned or impart a sense of dire urgency into an audience like Peter Cushing: It may be an odd movie but it does feature some of his best work at appearing concerned and some of the urgencies that he imparts within viewers are the most dire of his career.
Yeah, he was getting old and tired and probably looked upon the movie as an expense paid trip to China to help him forget the sorrow of his wife's passing.
But by golly he made the movie and if he means anything to you it simply must be seen because it is his last screen turn as one of his classic Gothic horror characters.
Try it again, make sure it's a widescreen version, pop plenty of popcorn, perhaps an adult beverage or two, and put down the lights.
When Charles IV laid down procedure for electing a King of the Romans, he mentioned nothing about receiving papal confirmation of the election.
From Wikipedia, the free encyclopedia. For other uses, see Golden Bull. January 10, chapters 1—23 ; December 25, chapters 24— The Golden Bull of AD.
Praeger Publishers, , p. Praeger Publishers, , Tauris, , Electors of the Holy Roman Empire from to Added in the 17th century. Added in the 19th century.
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Crazy Credits. Alternate Versions. Rate This. Director: Fatih Akin. Writers: Fatih Akin screenplay , Heinz Strunk novel.
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