Finding Unique Character Bigrams
A character bigram is a pair of two adjacent characters in a string. We need to find the number of distinct bigrams in the string $thoughtsoftheghosts$.
String Analysis
The input string is: $thoughtsoftheghosts$.
Generating Bigrams
We can list all possible adjacent pairs (bigrams) from the string:
- th
- ho
- ou
- ug
- gh
- ht
- ts
- so
- of
- ft
- th
- he
- eg
- gh
- ho
- os
- st
- ts
Identifying Unique Bigrams
Now, let's identify the unique bigrams from the list above. We only count each distinct pair once:
- th
- ho
- ou
- ug
- gh
- ht
- ts
- so
- of
- ft
- he
- eg
- os
- st
Counting Unique Bigrams
By counting the unique bigrams listed above, we find there are 14 distinct bigrams.
Therefore, the total number of unique character bigrams in the string $thoughtsoftheghosts$ is 14.
Important Questions from Numerical Computation
- An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to . 5,00,000. For higher fees, the overhead is . 1,00,000 plus 10% of the amount by which the fee exceeds . 5,00,000. The government charges a Goods and Services Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than . 10,00,000, what is the maximum consulting fee that the employee can charge?
Three frictionless pulleys with rope attachment are in a static equilibrium as shown in the figure. The mass $m_1$ and $m_2$, in kg, respectively are
If the in-situ density of coal is 1320 kg/m$^3$ and the density of blasted coal is 952 kg/m$^3$, the swell factor is _____________ (rounded off to 3 decimal places)
A five-member truss system is shown in the figure. The maximum vertical force P in kN that can be applied so that loads on the member CD and BC do NOT exceed 50 kN and 30 kN, respectively is _____________(rounded off to 2 decimal places)
The Fourier transform and its inverse transform are respectively defined as $\tilde{f}(\omega) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{+\infty} f(x)e^{i\omega x}dx$ and $f(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{+\infty} \tilde{f}(\omega)e^{-i\omega x}d\omega$. Consider two functions $f$ and $g$. Another function $f * g$ is defined as
$(f * g)(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{+\infty} f(y)g(x - y)dy$
Which of the following relation is/are true?
Note: Tilde ($\sim$) denotes the Fourier transform.
